The doctrine held by Protagoras--That what appears true is truth,

comes from the same source as the other doctrine--That both members

of the Antiphasis are true. Both doctrines proceed from the sensible

world ([Greek: o(moi/ôs de\ kai\ ê( peri\ ta\ phaino/mena a)lê/theia

e)ni/ois e)k tô=n ai)sthêtô=n e)lê/luthen]--p. 1009, b. 2; [Greek:

o(moi/ôs] refers back to a. 23--[Greek: au(/tê ê( do/xa], the other

doctrine). Demokritus, Protagoras, and others observe that sensible

phenomena are differently appreciated by different men, by other

animals, and even by the same animal or man at different times. They

do not think that truth upon these points of difference can be

determined by a majority of voices. Demokritus says that either there

is nothing true, or that we cannot know what it is (b. 10). These

reasoners identified intelligence with sensible perception, and

considered that this latter implied a change in the subject (b. 13):

they conceived that what appeared to sense was necessarily true.

Empedokles, Demokritus, Parmenides, Anaxagoras, Homer, &c., all lay

down the doctrine, that the intelligence of men is varied with and

determined by their sensible perceptions. They thought that men of

wrong intelligence were nevertheless intelligent men, though their

intelligence did not carry them to the same conclusions (b. 30); that

if, both in one case and in the other, there were acts of

intelligence, there must be realities corresponding to both,

justifying the affirmative as well as the negative (b. 33).

That sincere and diligent enquirers should fall into these errors is

very discouraging; but we must remark that their errors originated

from this--that, while investigating the truth respecting Entia, they

supposed that Entia were only the Percepta or Percipibilia (p. 1010,

a. 2). Now in these Entia Perceptionis there is a great deal of the

Indefinite and of mere Potential Entity (a. 3). Hence the theories of

these reasoners were plausible, though not true. They saw that all

the Entia Perceptionis were in perpetual movement, and they thought

it impossible to predicate any thing with truth respecting what was

at all times and in every way changing (a. 9). Kratylus and the

Herakleitizers pushed this to an extreme. Even against their

reasoning, we have something to say in reply. We grant that they have

some ground for imagining that what undergoes change does not exist

at the moment when it changes (a. 16). Yet even here there is room

for dispute; for that which is in the act of casting off, still

retains something of that which is being cast off; and of that which

is being generated, something must already be in existence. As a

general doctrine, if something is in course of being destroyed,

something must be in existence; and, if something is in course of

being generated, there must exist something out of which it proceeds

and by which it is being generated; nor can this go back _ad

infinitum_ (a. 22). Dropping this argument, however, let us advance

another. Change as to Quantity is not the same as change as to

Quality or Form. Let us grant that, as to Quantity, there is change

continuous and perpetual--growth or decay--no such thing as

stationary condition. But all our knowledge relates to Quality or

Form, in which there is no continuous change (a. 24: [Greek: kata\

me\n ou)=n to\ poso/n, e)/stô mê\ me/non; a)lla\ kata\ to\ ei)=dos

a(/panta gignô/skomen.]--Compare Alex. Schol., p. 671, b. 5-22; p.

670, a. 36: Bonitz has good remarks in his note, pp. 202-204**.).

Again, we have a farther reproach to make to these reasoners. Their

argument is based only on the Percepta or Percipienda; yet, even as

to these it is true only as to the minority and untrue as to the

majority. It is true merely as far as the sublunary Percepta; but as

to the superlunary or celestial it is the reverse of truth. Our earth

and its neighbourhood is indeed in continual generation and

destruction; but this is an insignificant part of the whole. In

affirming any thing respecting the whole, we ought to follow the

majority rather than the minority (p. 1010, a. 28-31**).

Lastly, we must repeat against these reasoners the argument urged

just now. We must explain to them, that there exists, apart from and

besides all generation, destruction, change, motion, &c., a certain

Immovable Nature ([Greek: a)ki/nêto/s tis phu/sis]--a. 34). Indeed

their own doctrine--That all things both are and are not--would seem

to imply an universal stationary condition rather than universal

change (a. 38). There can be no change; for there is no prospective

terminus which can be reached by change. Every thing is assumed as

already existing.

We have now to remark upon the special doctrine of

Protagoras--[Greek: pa=n to\ phaino/menon a)lêthe/s]. If we grant that

perception is always true upon matters strictly belonging to it, still

phantasy is not identical with perception and we cannot say that what

appears to the phantasy is always true ([Greek: to\

phaino/menon]--which implies a reference to [Greek: phantasi/a]--p.

1010, b. 2), Besides, it is strange that thinkers should puzzle

themselves about the questions: Whether the magnitude and colour of

objects is that which appears to a spectator near or to a spectator

far off? and to a spectator healthy or jaundiced? Whether the weight

of an object is as it appears to a weak or to a strong man? Whether

objects are truly what they appear to men awake or to men asleep?

Their own actions show that they do not think there is any doubt; for

if, being in Libya, they happen to dream that they are in Athens, none

of them ever think of going to the Odeium (b. 5-11). Moreover,

respecting the future, as Plato remarks, the anticipations of the

ignorant man are not so trustworthy as those of the physician, whether

a patient will recover or not (b. 14). Then, again, in respect of

present sensations, the perception of sight is not equally trustworthy

with the perception of smell about a question of odour (b. 17); and

the perception of smell will never report at the same time and about

the same thing, that it is at once fragrant and not fragrant; nor,

indeed, at different times about the affection itself, but only about

the subject to which the affection belonged (b. 20). The same wine

which tasted sweet last month, may now taste not sweet; but the sweet

taste itself is the same now and last month, and the reports of the

sense are never contradictory on this point. The sweet taste which is

to come in the future will be of necessity like the sweet taste in

the past. Now such necessity is abrogated by all those reasonings

which affirm at once the two members of the Antiphasis. These

reasonings disallow all essence of every thing, and all necessity;

for whatever is necessary, cannot be at once both thus and not thus

(b. 21-30).

On the whole, if nothing exist except Percepta, nothing can exist

without animated beings; since without these last there can be no

perception. It is indeed true, perhaps, that under such a supposition

there exist neither Percepta nor acts of Perception (which are

affections of the Percipient); but that the Substrata which cause

Perception should not exist even without Perception--is an

impossibility (p. 1010, b. 33: [Greek: to\ de\ ta\ u(pokei/mena mê\

ei)=nai, a(\ poiei= tê\n ai)/sthêsin, kai\ a)/neu ai)sthê/seôs,

a)du/naton]). Perception is not perception of itself; there exists

besides, apart from perception, something else which must necessarily

be prior to perception. For the Movens is by nature prior to the

Motum; and this is not the less true, though each of these two is

enunciated in relation to the other (b. 35).

A difficulty is often started, and enquiry made, Who is to be the

judge of health and sickness? Whom are we to recognize as the person

to judge rightly in each particular case? Persons might as well raise

difficulty and make enquiry, Whether we are now awake or asleep? It

is plain by men's actual conduct that they have no real doubt upon

the point in any particular case; and both these enquiries arise from

the same fundamental mistake--that men require to have every thing

demonstrated, and will recognize nothing without demonstration.

(Alex. says in Scholia, p. 675, b. 3: [Greek: e)/sti ga\r pro\s a(\

e)k phu/seôs be/ltion e)/chomen ê)\ ô(/ste dei=sthai tê=s peri\

au)tô=n a)podei/xeôs; e)/sti de\ tau=ta ai(/ te ai)sthê/seis, kai\

ta\ a)xiô/mata kai\ ai( phusikai/ te kai\ koinai\ e)/nnoiai.]) Those

who sincerely and seriously feel this difficulty, may be expected to

acquiesce in the explanation here given (p. 1011, a. 2-14). But those

who put forward the difficulty merely for the sake of argument, must

be informed that they require an impossibility. They require to have

a refutative case made out against them (which can only be done by

reducing them to a [Greek: sullogismo\s a)ntipha/seôs]); yet they

themselves begin by refusing to acknowledge this refutation as

sufficient, for they maintain the thesis--That both members of the

Antiphasis are alike and equally true (a. 16; compare Alex. Schol.,

p. 675, b. 20-28).

Those who maintain this last-mentioned thesis say, in other words,

That every thing which appears true, is true. But this thesis of

theirs cannot be defended except by the admission that every thing is

relative, and that nothing is absolute. Accordingly they must take

care to announce their thesis, not in absolute terms as it now

stands, but in terms strictly relative: Every thing which appears

true, appears true to some individual--at a certain moment of

time--under certain circumstances and conditions (p. 1011, a. 24).

For, if they affirm, in absolute phrase, that all things are alike

false and true, on the ground that what appears true is true, urging

that the same things do not appear true either to different persons,

or to the same person at different times--nay, sometimes even to the

same person at the same time, as may be seen by handling a pebble

between two crossed fingers ([Greek: e)n tê=| e)palla/xei tô=n

daktu/lôn]--a. 33), so that it appears two to the touch, but only

one to the sight;--we shall reply, that there is no such

contradiction of judgment, if they confine themselves to the same

person, the same time, and one and the same sense. In these cases,

there is only one affirmation which appears to be true, and

therefore, according to their theory, that affirmation is true.

They are not, therefore, justified in concluding that every thing

is alike true and false (b. 1).

They can only escape this refutation by avoiding to say, This is

true, and by saying, This is true to such an individual, at such a

time, &c.; that is, by making every affirmation relative to some

person's opinion or perception. Hence the inference is, that nothing

either ever has occurred or ever will occur, without the antecedent

opinion of some person ([Greek: mêtheno\s prodoxa/santos]--p. 1011,

b. 6): if any thing ever has so occurred, it cannot be true that all

things are relative to opinion. Moreover, if the Relatum be one, it

must be relative to some one, some definite, Correlate; and, even if

the same Relatum be both half and equal, it will not be equal in

reference to a double Correlate, but half in reference to a double,

and equal in reference to an equal (b. 9). Moreover, if _homo_ and

_conceptum_ have both of them no more than a relative existence--that

is, if both of them exist only in correlation with a

_concipiens_--then the _concipiens_ cannot be _homo_; it will be the

_conceptum_ that is _homo_. And, if every individual thing have

existence only in relation to a _concipiens_, this _concipiens_ must

form the Correlate to an infinite number of Relata (b. 12). (All this

is very briefly and obscurely stated in Aristotle. The commentary of

Alexander is copious and valuable: one might suppose that he had

before him a more ample text; for it is difficult to find in the

present text all that his commentary states**.)

Let thus much be said to establish the opinion, That the two members

of the Antiphasis (the Affirmative and the Negative) are not both

true at the same time. We have shown whence it arises that some

persons suppose both to be true; and what are the consequences in

which those who hold this opinion entangle themselves. Accordingly,

since both sides of the Antiphasis cannot be truly predicated of the

same subject, it is impossible that opposite attributes can belong at

the same time to the same subject (p. 1011, b. 17: [Greek: ou)de\

ta)nanti/a a(/ma u(pa/rchein e)nde/chetai tô=| au)tô=|]). For one of

these opposites includes in itself privation, and privation of a

certain real essence; now privation is the negation of a certain

definite genus. And, since affirmation and negation cannot be truly

applied at the same time, it follows that opposite attributes cannot

belong at the same time to the same subject. At least it is only

possible thus far: one may belong to it absolutely, the other

_secundum quid_; or both of them _secundum quid_ only ([Greek: tô=n

me\n ga\r e)nanti/ôn tha/teron ste/rêsi/s e)stin ou)ch ê(=tton,

ou)si/as de\ ste/rêsis a)po/phasi/s e)stin a)po/ tinos ô(risme/nou

ge/nous]--b. 20).

But, also, there can be nothing intermediate between the two members

of the Antiphasis; we must of necessity either affirm or deny any one

thing of any other (p. 1011, b. 24). This will appear clearly, when

we have first defined what is Truth and Falsehood. To say that Ens is

not, or that Non-Ens is, is false: To say that Ens is, or that

Non-Ens is not, is true. Accordingly, he who predicates _est_--or he

who predicates _non est_--will speak truly or speak falsely, according

as he applies his predicate to Ens or to Non-Ens. But he cannot,

either in application to Ens or to Non-Ens, predicate _est aut non

est_ (b. 29). Such a predication would be neither true nor false, but

improper and unmeaning. (I follow at b. 27 the text of the Berlin

edition: [Greek: ô(/ste kai\ o( le/gôn ei)=nai ê)\ mê\ a)lêtheu/sei

ê)\ pseu/setai]--which seems to me here better than that of Bonitz,

who puts [Greek: ô(/ste kai\ o( le/gôn tou=to ei)=nai ê)\ mê\

a)lêtheu/sei ê)\ pseu/setai]--following Alexander's explanation,

Schol., p. 680, a. 33, which I cannot think to be correct, though

Bonitz praises it much. Aristotle defines Truth and Falsehood: When

you say _Ens est_, or _Non-Ens non est_, you speak truth; when you

say _Ens non est_, or _Non-Ens est_, you speak falsehood.

Accordingly, when you employ the predicate _est_, or when you employ

the predicate _non est_, you will speak truly or falsehood, according

as the subject with which you join it is Ens or is Non-Ens. But

neither with respect to the subject Ens nor with respect to the

subject Non-Ens, can you employ the disjunctive predicate--_est aut

non est_.**)

Again, a medium between the two horns of the Antiphasis must be

either a medium between opposites, like grey between white and black,

or like the neither between man and horse. If it be the latter, it

will never change; for all change is either from a negative to its

affirmative (_non-bonum_ to _bonum_) or _vice versâ_: now that which

is both _non-homo_ and _non-equus_ must change, if it change at all,

into that which is both _homo_ and _equus_; but this is impossible.

We see change always going on; but it is always change either into

one of the two extremes or into the medium between them. But can we

assume that there is such a medium (so that the case supposed will

belong to the analogy of grey, halfway between white and black)? No,

we cannot assume it; for, if we granted it, we should be forced to

admit that there was change into white not proceeding from that which

is not white: now nothing of the kind is ever perceived. There cannot

therefore be any admissible medium halfway between the two members of

the Antiphasis--something which is neither white nor not-white,

neither black nor not-black (p. 1011, b. 35: [Greek: ei) d' e)/sti

metaxu/]--if such medium be admitted--[Greek: kai\ ou(/tôs ei)/ê a)/n

tis ei)s leuko\n ou)k e)k mê\ leukou= ge/nesis; nu=n d' ou)ch

o(ra=tai]).

Furthermore, whatever our intelligence understands or reasons upon,

it deals with as matter affirmed or denied. The very definition of

truth and falsehood recognizes them as belonging only to affirmation

or negation: when we affirm or deny in a certain way we speak truth;

when in another way, we speak falsely. Nothing is concerned but

affirmation and denial (_i.e._, there is no mental operation midway

between the two--p. 1012, a. 2-5). If there be any such medium or

midway process, it is not confined to this or that particular

Antiphasis, but belongs alike to all, and must lie apart from all the

different Antiphases--at least if it is to be talked of as a reality,

and not as a mere possible combination of words; so that the speaker

will neither speak truth, nor not speak truth; which is absurd (a.

7). It must also lie apart both from Ens and from Non-Ens; so that we

should be compelled to admit a certain mode of change of Essence,

which yet shall neither be generation nor destruction; which is

impossible. **(According to Aristotle's definition, all change of

[Greek: ou)si/a] must be either Generation, _i.e._, passage from

[Greek: to\ mê\ o)/n] to [Greek: to\ o)/n], or Destruction, _i.e._,

passage from [Greek: to\ o)/n] to [Greek: to\ mê\ o)/n].--See Alex.

Schol. p. 681, b. 30-40**.)

Again, there are certain genera in which negation carries with it the

affirmation of an opposite; such as odd and even, in numbers. In such

genera, if we are to admit any medium apart from and between the two

members of the Antiphasis, we should be forced to admit some number

which is neither odd nor even (p. 1012, a. 11). This is impossible:

the definition excludes it. (Alexander gives this as the definition

of number: [Greek: pa=s ga\r a)rithmo\s ê)\ a)/rtio/s e)stin ê)\

peritto/s, kai\ _a)rithmo/s e)stin o(\s ê)\ a)/rtio/s e)stin ê)\

peritto/s_]--Schol. p. 682, a. 16.)

Again, if the Antiphasis could be divided, and a half or intermediate

position found, as this theory contends, the division of it must be

admissible farther and farther, _ad infinitum_. After bisecting the

Antiphasis, you can proceed to bisect each of the sections; and so

on. Each section will afford an intermediate term which may be denied

with reference to each of the two members of the original Antiphasis.

Two new Antiphases will thus be formed, each of which may be bisected

in the same manner; and so bisection, with the formation of

successive new Antiphases, may proceed without end (p. 1012, a. 13).

Again, suppose a questioner to ask you, Is this subject white? You

answer, No. Now you have denied nothing else than the being-white:

this is the [Greek: a)po/phasis], or negative member of the

Antiphasis. But you have neither denied nor affirmed the intermediate

stage between the affirmative and the negative; nor is there any

answer possible by which you could do so. Therefore there is no real

intermediate stage between them ([Greek: e)/ti o(/tan e)rome/nou ei)

leuko/n e)stin ei)/pê| o(/ti ou)/, ou)the\n a)/llo a)pope/phêken ê)\

to\ ei)=nai; a)po/phasis de\ to\ mê\ ei)=nai]--p. 1012, a. 15; see

Alex. Schol. p. 682, b. 15-38, and Bonitz's note. Bonitz suggests,

though timidly, [Greek: a)pope/phêken] instead of the common reading

[Greek: a)pope/phuken], which none of the commentators explain, and

which seems unintelligible. I think Bonitz is right, though [Greek:

a)pope/phêken] is an unknown tense from [Greek: a)po/phêmi]: it is

quite as regular as [Greek: a)pophê/sô] or [Greek: a)pe/phêsa]**.).

The doctrines which we have been just controverting (Aristotle says)

arise, like other paradoxes, either from the embarrassment in which

men find themselves when they cannot solve a sophistical difficulty;

or from their fancying that an explanation may be demanded of every

thing. In replying to them, you must take your start from the

definition, which assigns to each word one fixed and constant

signification. The doctrine of Herakleitus--That all things are and

all things are not--makes all propositions true; that of

Anaxagoras--That every thing is intermingled with every thing--makes

all propositions false: such mixture is neither good, nor not good;

neither of the members of the Antiphasis is true (a. 17-28). Our

preceding reasonings have refuted both these doctrines, and have

shown that neither of the two one-sided extremes can be universally

true: neither the doctrine--Every proposition is true; nor

that--Every proposition is false; still less that which comprehends

them both--Every proposition is both true and false. Among these

three doctrines, the second might seem the most plausible, yet it

is inadmissible, like the other two (b. 4).

In debating with all these reasoners, you must require them (as we

have already laid down), not to admit either existence or

non-existence but, to admit a constant signification for each word.

You must begin by defining truth and falsehood; each of them belongs

only to affirmation in a certain way. Where the affirmation is true

the denial is false; all propositions cannot be false; one member of

each Antiphasis must be true, and the other member must be false.

Each of these doctrines labours under the often-exposed defect--that

it destroys itself (p. 1012, b. 14, [Greek: to\

thrullou/menon]--allusion to the Theætetus, according to Alexander).

For whoever declares all propositions to be true, declares the

contradictory of this declaration to be true as well as the rest, and

therefore his own declaration not to be true. Whoever declares all

propositions to be false, declares his own declaration to be false as

well as all other propositions (b. 17). And, even if we suppose each

of these persons to make a special exception in regard to the

particular propositions here respectively indicated, still this will

not serve. The man who declares all propositions to be false, will be

compelled to admit an infinite number of true propositions; because

the proposition declaring the true proposition to be true, must

itself be true; a second proposition declaring this last to be true,

will itself be true; and so on to a third, a fourth, &c., in endless

scale of ascent. The like may be said about the man who declares all

propositions to be true: he too will be obliged to admit an infinite

number of false propositions; for that which declares a true

proposition to be false, must itself be false; and so on through a

second, a third, &c., in endless scale of ascent as in the former

case (b. 22).

It follows from what has been just proved, that those who affirm

every thing to be at rest, and those who affirm every thing to be in

motion, are both alike wrong. For, if every thing were at rest, the

same propositions would be always true and always false. But this is

plainly contrary to evidence; for the very reasoner who affirms it

was once non-existent, and will again be non-existent. On the other

hand, if every thing were in motion, no proposition would be true,

and all would be false: but we have proved above that this is not so.

Nor is it true that all things are alternately in motion or at rest;

for there must be something ever-moving and other things

ever-moved--and this prime movent must be itself immovable (p. 1012,

b. 22-30).

. . . . . .

Book E.

The First Philosophy investigates the causes and principles of Entia

_quatenus_ Entia (p. 1025, b. 3). It is distinguished from other

sciences, by applying to all Entia, and in so far as they are Entia;

for each of the other sciences applies itself to some separate branch

of Entia, and investigates the causes and principles of that branch

exclusively. Each assumes either from data of perception, or avowedly

by way of hypothesis, the portion or genus of Entia to which it

applies; not investigating the entity thereof, but pre-supposing this

process to have been already performed by Ontology: each then

investigates the properties belonging _per se_ to that genus (b. 13).

It is plain that by such an induction not one of these sciences can

demonstrate either the essence of its own separate genus, nor whether

that genus has any real existence. Both these questions--both [Greek:

ei) e)/stin] and [Greek: ti/ e)stin]--belong to Ontology (b. 18).

(The belief derived from perception and induction never amounts to

demonstration, as has been shown in the Analytica; you may always

contest the universality of the conclusion--Alex. p. 734, b. 16, Br.)

Apart from Ontology, each of these separate sciences is either

theoretical, or practical, or constructive (p. 1025, b. 21). Two of

the separate sciences are theoretical--Physics and Mathematics; and,

as Ontology (or Theology) is also theoretical, there are three

varieties of theoretical science (p. 1026, a. 18).

Physical Science applies to subjects having in themselves the

principle of mobility or change, and investigates, principally and

for the most part, the Essence or Form thereof; yet not exclusively

the Form, for the Form must always be joined with Matter. The subject

of Physics includes Matter in its definition, like hollow-nosed, not

like hollow (p. 1025, b. 33). All the animal and vegetable world is

comprised therein; and even some soul, as far as soul is inseparable

from Matter ([Greek: peri\ psuchê=s **e)ni/as theôrê=sai tou=

phusikou=, o(/sê mê\ a)/neu tê=s u(/lês e)sti/n]--p. 1026, a. 5).

Mathematics is another branch of theoretical science; applying to

subjects immovable and in part inseparable from Matter; that is,

separable from Matter only in logical conception (p. 1026, a. 7-15).

Theology, or First Philosophy, or Ontology, is conversant with

subjects self-existent, immovable, and separable from Matter (p.

1026, a. 16).

Now all causes are necessarily eternal; but these more than any

other, because they are the causes active among the visible divine

bodies; for, clearly, if the Divinity has any place, it must be found

among subjects of that nature; and the most venerable science must

deal with the most venerable subjects (p. 1026, a. 19). The

theoretical sciences are more worthy than the rest ([Greek:

ai(retô/terai]), and First Philosophy is the most worthy among the

theoretical sciences (a. 22). A man may indeed doubt whether First

Philosophy is distinguished from the other theoretical sciences by

being more universal, and by comprehending them all as branches; or

whether it has a separate department of its own, but more venerable

than the others; as we see that Mathematics, as a whole, comprehends

Geometry and Astronomy (a. 27). If there exist no other distinct

Essence beyond the compounds of Nature ([Greek: para\ ta\s phu/sei

sunestêkui/as]--a. 28), Physics would be the first of all sciences.

But if there be a distinct immovable Essence, that is first;

accordingly the science which deals with it is first, and, as being

first, is for that reason universal ([Greek: kai\ katho/lou ou(/tôs

o(/ti prô/tê]--a. 30). It is the province of this First Philosophy to

theorize respecting Ens _quâ_ Ens--what it is and what are its

properties _quâ_ Ens (a. 32). (Alexander says the First Philosophy is

more universal than the rest, but does not comprehend the rest:

[Greek: prô/tê pa/ntôn kai\ katho/lou ô(s pro\s ta\s a)/llas, ou)

perie/chousa e)kei/nas, a)ll' ô(s prô/tê]--Schol. p. 736, a. 27.)

Now Ens has many different meanings:--

1. Ens [Greek: kata\ sumbebêko/s].

2. Ens [Greek: ô(s a)lêthe/s]--Non-Ens [Greek: ô(s pseu=dos].

3. Ens [Greek: kata\ ta\ schê/mata tê=s katêgori/as] (decuple).

4. Ens [Greek: duna/mei kai\ e)nergei/a|].

1. Respecting the first, there can be no philosophical speculation

(p. 1026, b. 3). No science, either theoretical, or practical, or

constructive, investigates Accidents. He who constructs a house, does

not construct all the accidents or concomitants of the house; for

these are endless and indeterminate. It may be agreeable to one man,

hurtful to a second, profitable to a third, and something different

in relation to every different Ens; but the constructive art called

house-building is not constructive of any one among these

concomitants (b. 7-10). Nor does the geometer investigate the

analogous concomitants belonging to his figures; it is no part of his

province to determine whether a triangle is different from a triangle

having two right angles (b. 12). This is easy to understand: the

Concomitant is little more than a name--as it were, a name and

nothing beyond (b. 13). Plato came near the truth when he declared

that Sophistic was busied about Non-Ens; for the debates of the

Sophists turn principally upon Accidents or Concomitants, such as,

Whether musical and literary be the same or different? Whether

Koriskus or literary Koriskus, be the same or different? Whether

everything which now is, but has not always been, has become; as in

the case of a man who being musical has become literary or being

literary has become musical? and such like debates (see Alexander,

Schol. p. 736, b. 40). For the Concomitant or Accident appears

something next door to Non-Ens ([Greek: e)ggu/s ti tou= mê\ o)/ntos],

p. 1026, b. 21), as we may see by these debates. Of other Entia there

is generation or destruction, but of Accidents there is none (b. 23).

Nevertheless, we shall state, as far as the case admits, what is the

nature of the Accident, and through what cause it is ([Greek: ti/s ê(

phu/sis au)tou=, kai\ dia/ tin' ai)ti/an e)sti/n;]--p. 1026, b. 25):

we shall perhaps at the same time explain why there can be no science

respecting it. Among Entia, some are always and necessarily the same,

others are usually but not always the same. These which come to pass

in neither of these two ways, are called Accidents or Concomitants.

Of the first two, the Constant and the Usual, there is always some

definite cause; of the third, or Accidents, there is none: the cause

of these is an Accident (p. 1027, a. 8). In fact, Matter is the cause

of Accidents, admitting as it does of being modified in a way

different from the usual and ordinary way (a. 13). It is plain that

there can be neither science nor teaching of Accidents: the teacher

can teach only what is constant or usual, and nothing beyond (a. 20).

Now of these Accidents, there is a certain principle or cause which

it is indispensable to admit--Chance ([Greek: ê( tou= o(po/ter'

e)/tuchen]--p. 1027, b. 12). There must be principles and causes,

generable and destructible, yet which never are either generated or

destroyed; if this were not so, all events would occur by necessity

(p. 1026, b. 29-31). (Thus the builder, considered as cause of the

house which he builds, has been generated, _i.e._, he has acquired

the art of building and the proper accessories; and he will be

destroyed, _i.e._, he will lose his art, and its conditions of being

exercised. But, considered as the cause of the accidents belonging to

the house, of its being annoying or inconvenient to A or B, he has

not been generated nor will he be destroyed; _i.e._, he has neither

acquired, nor will he lose, any skill or conditions tending to the

production of this effect. As the contact of two substances is not

generated, but appears of itself along with the substances when they

are generated; as the limits of periods of time appear without

generation along with the periods of time themselves; so the builder,

when he acquires the power of building the house, stands possessed

thereby, without any additional time or special generation, of the

power to produce the concomitant accidents of the house. The house is

thus produced by necessity; its concomitant accidents not by

necessity--Alex. Schol. p. 738, a. 19-33.)

But whether this [Greek: to\ o(po/ter' e)/tuchen] is to be considered

as referable to Matter, End, or Movent, is a point important to be

determined (p. 1027, b. 15). Aristotle shows elsewhere that it is

referable to the last of the three--[Greek: to\ poiêtiko/n]

(Asklepius, p. 738, b. 41).

Having now said enough upon Ens _per Accidens_, we proceed to touch

upon the second variety of Ens--Ens as the True, Non-Ens as the

False.

This variety of Ens depends upon conjunction and disjunction, and

forms an aggregate of two portions separately exhibited and brought

together in the Antiphasis. Such conjunction and disjunction is not

in things themselves; but in the act of intelligence which thinks the

two things together and not successively: in regard to simple matters

and Essence, not even any special conjoining act of intelligence is

required; such things must be conceived together, or not conceived at

all (p. 1027, b. 27). The mental act of apprehension, in these cases,

is one and indivisible: you either have it entire at once, or not at

all.

The cause of this variety of Ens is to be found in a certain

affection of the intelligence; that of the preceding variety of Ens

is an undefined or indeterminate cause (b. 34). Both these two

varieties of Ens are peculiar, standing apart from what is most

properly and _par excellence_ Ens, _i.e._, from the Ens according to

the ten Categories, on which we shall now say something.

. . . . . .

Book Z.

We have already stated that Ens is a [Greek: pollachô=s

lego/menon]--distinguished according to the ten figures or genera

called Categories. The first is [Greek: ti/ e)stin], or [Greek:

ou)si/a] (_sensu dignissimo_)--Essentia, Substantia (p. 1028, a. 15).

The remaining Categories are all appendages of Essentia, presupposing

it, and inseparable from it; whereas Essentia is separable from all

of them, and stands first in reason, in cognition, and in time. All

the other Categories are called Entia only because they are

quantities, qualities, affections, &c., of this Essentia Prima. A man

may even doubt whether they are Entia or Non-Entia, since none of

them is either _per se_ or separable. We ought hardly to say that a

quality or an affection, enunciated abstractedly, is Ens at all--such

as _currere_, _sedere_, _sanitas_: we ought more properly to say that

_currens equus_, _sedens homo_, _sanus miles_, are Entia, enunciating

along with the quality the definite Essence or Individual Substance

to which it belongs (a. 24). The quality then becomes Ens, because

the subject to which it belongs is an individual Ens (a. 27).

Essentia Prima is first in reason or rational explanation ([Greek:

lo/gô|], a. 34), because in the rational explanation of each of the

rest that of Essentia is implicated. It is first also in cognition,

because we believe ourselves to know any thing fully, when we are

able to answer _Quid est_? and say that it is _homo_ or _ignis_; not

simply when we are able to answer _Quale_ or _Quantum est_? So that

in answering the great and often-considered question, _Quid est Ens_?

we shall first understand it as meaning Essentia (_hoc sensu

dignissimo_), and shall try to solve it so (b. 3, [Greek: peri\ tou=

_ou(/tôs_ o)/ntos]).

Essentia (understood in this sense) appears to belong in the most

manifest manner to bodies: we predicate it of animals, plants, the

parts thereof, the natural bodies such as fire, water, and such like,

as well as the parts and aggregates thereof, such as the heaven and

its parts, the stars, moon, and sun (p. 1028, b. 7-13). But are these

the only Essences, or are there others besides? Or again, is it an

error to call _these_ Essences, and are all Essences really something

different from these? This is a point to be examined. Some think that

the limits of bodies (surface, line, point, monad) are Essences even

more than the body and the solid: others admit no Essences at all

beyond or apart from Percipienda; others again recognize other

Essences distinct from and more eternal than the Percipienda; for

example, Plato, who ranks Ideas or Forms, and the Mathematica, as two

distinct Essences, while he places the Percipienda only third in the

scale of Essence. Speusippus even enumerates a still greater number

of Essences, beginning with the One, and proceeding to Numbers,

Magnitudes, Soul, &c., with a distinct [Greek: a)rchê/] or principle

for each (b. 21). Some others hold that Forms and Numbers have the

same nature, and that there are other things coming near to these,

such as lines and surfaces, in a descending scale to the Heaven and

the Percipienda (b. 24). We must thus investigate which of these

doctrines are true or false, whether there are any Essences beyond

the Percipienda; and, if so, how they exist: whether there is any

separable essence apart from Percipienda, and, if so, how and why; or

whether there is nothing of the kind. But first we must give a vague

outline what Essence is generally ([Greek: u(potupôsame/nois], b.

31).

There are four principal varieties of meaning in this Essentia,

[Greek: kuri/ôs] or _sensu dignissimo_: (1) [Greek: to\ ti/ ê)=n

ei)=nai], (2) [Greek: to\ katho/lou], (3) [Greek: to\ ge/nos], (4)

[Greek: to\ u(pokei/menon].

We shall first speak about the fourth--Substratum--which is the

subject of all predicates, but never itself the predicate of any

subject. That which appears most of all to be Essentia is, [Greek:

to\ u(pokei/menon prô=ton]. This name applies, in one point of view,

to Matter; in another, to Form; in a third, to the total result of

the two implicated together (p. 1029, a. 1): _e.g._, the brass, the

figure, and the complete statue of figured brass. If, therefore, the

Form be _prius_, and more Ens, as compared with the Matter, it will

be also _prius_ and more Ens as compared with the complete result. We

get thus far in the adumbration of Essentia--that it is the subject

of all predicates, but never itself a predicate.

But this is not sufficient to define it: there still remains

obscurity. It would seem that Matter is Essentia; and that, if it be

not so, nothing else is discernible to be so; for, if every thing

else be subtracted, nothing (save Matter) remains. All things else

are either affections, or agencies, or powers, of bodies; and, while

length, breadth, depth, &c., are quantities belonging to Essence,

Quantity is not Essence, but something belonging to Essence as First

Subject. Take away length, breadth, depth, and there will remain only

that something which these three circumscribe; in other words,

Matter--that which, in itself and in its own nature, is neither

Quantity, nor Quality, but of which, Quantity, Quality, and the other

Categories, are predicated. All these Categories are predicated of

Essence, and Essence of Matter; so that Matter is the last remaining

_per se_ (p. 1029, a. 12-24). Take away Matter, and there remain

neither affirmative nor negative predicates; for these negative

predicates are just as much concomitants or accidents as the others

(a. 25).

Upon this reasoning, it seems that Matter is the true Essence. Yet,

on the other hand, this will be seen to be impossible. For the

principal characteristic of Essence is to be separable and Hoc

Aliquid. So that either Form, or the Compound of Form and Matter

together, must be the true Essence. But this last, the Compound, may

be dismissed as evidently unsuitable for the enquiry, not less than

Matter separately; for it is manifestly posterior to either of the

two components (p. 1029, a. 30). We must therefore investigate the

Form, though it is full of difficulty (a. 33).

We shall begin the investigation from some of the Percipienda, which

are acknowledged as Essence; for it is useful to go across from this

starting-point to what is more cognizable ([Greek: pro\ e)/rgou ga\r

to\ metabai/nein ei)s to\ gnôrimô/teron]--p. 1029, b. 3. These words

ought properly to come immediately after [Greek: zêtête/on

prô=ton]--p. 1028, a. 35, and the intervening words now standing in

the text, [Greek: e)pei\ d' e)n a)rchê=|--peri\ au)tou=], ought to be

transferred to a more proper place some lines lower down, immediately

before the words, [Greek: kai\ prô=ton ei)/pômen]--p. 1029, b. 12.

Bonitz has made this very just correction in his Observatt. pp.

129-130, referred to in his Notes on the Metaphysica.). Every man

learns in this way--by proceeding from what is less cognizable by

nature to what is more cognizable by nature. And the business ([Greek:

e)/rgon]) of learning consists in making what is most cognizable to

nature, most cognizable to ourselves also; just as, in practical

matters, proceeding from what is good for each, to make what is good

by nature good also for each man's self. For it will often happen

that things first and most cognizable to each man's self, are only

faintly cognizable, and have little or nothing of Ens (b. 9). Yet

still, we must try to become cognizant of things fully knowable, by

beginning with things poorly knowable, but knowable to us (b. 12).

Taking up these Percipienda, for the purpose of searching for

Essentia in them, we shall first advert to [Greek: ti/ ê)=n ei)=nai],

which we discriminated as one of the characteristics of Essentia,

saying something about the rational explanation or definition of it

(p. 1029, a. 12). The [Greek: t.ê.e.] of each subject is what is

affirmed of it _per se_ ([Greek: e)/sti to\ t.ê.e. e(ka/stô| o(\

le/getai kath' au(to/]--a. 13). Your essence is not to be musical;

you are not musical by yourself: your essence is, what you are _by

yourself_. Nor does it even include all that you are by yourself.

Surface is not included in the essence of white; for the essence of

surface is not the same thing as the essence of white. Moreover white

surface, the compound of both, is not the essence of white; because

white itself is included in the definition of white--which cannot be

tolerated. The definition, which explains [Greek: t.ê.e.], must not

include the very word of which you intend to declare the [Greek:

t.ê.e.] If you intend to declare the [Greek: t.ê.e.] of white surface

by the words smooth surface, this does not declare it all: you only

declare that white is identical in meaning with smooth (b. 22).

Now, since there are compounds in every one of the Categories, we

must enquire whether there is a [Greek: t.ê.e.] belonging to each of

these. Is there, for example, a [Greek: t.ê.e.] for white man? Let

the meaning of these two words be included in the single word

garment. Is there a [Greek: t.ê.e.] for garment? What is it to be a

garment? You cannot answer; for neither is this an enunciation _per

se_ (p. 1029, b. 29). Are we to say, indeed, that there are two

distinct sorts of enunciation _per se_: one including an addition

([Greek: e)k prosthe/seôs]), the other, not? You may define by

intimating something to which the matter defined belongs; _e.g._, in

defining white you may give the definition of white man. Or you may

define by intimating something which is not essential but accessory

to the matter defined; _e.g._, garment signifying white man, you may

define garment as white. Whereas the truth is, that, though a white

man is white, yet to be white is accessory and not essential to him

(p. 1030, a. 1).

But can we in any way affirm that there is any [Greek: t.ê.e.] to

garment (taken in the above sense)? Or ought we to say that there is

none (p. 1030, a. 2; Bonitz. Obss. p. 120)? For the [Greek: t.ê.e.]

is of the nature of [Greek: to/de ti] ([Greek: o(/per ga\r to/de ti

e)/sti to\ t.ê.e.]--a. 3), or Hoc Aliquid, _i.e._, a particular

concrete; but, when one thing is affirmed of another, as when we say

white man, this is not of the nature of [Greek: to/de ti], if [Greek:

to/de ti] belongs to Essences alone (a. 5). Thus it appears that

[Greek: to/de ti] belongs to all those matters of which the rational

explanation can be given by Definition. For to give the equivalent of

a name in many other words is not always to give a definition: if

this were so, a paraphrase of any length, even the Iliad, might be

called a definition. There can be no definition except of a primary

something; which is affirmed, without being affirmed as something

about another (a. 10). There will be no [Greek: t.ê.e.], therefore,

except for species of a genus; for in these alone what is affirmed is

not an affection or an accessory or by way of participation.

Respecting every thing besides, there will be no [Greek: t.ê.e.] or

definition, but there may be a rational explanation ([Greek: lo/gos])

of what the name signifies, or a more precise explanation substituted

in place of a simpler (a. 16).

Yet have we not gone too far in restricting the applicability of

[Greek: t.ê.e.] and Definition? and ought we not rather to say, that

both the one and the other are used in many different senses (p.

1030, a. 18)? For the _Quid est_ ([Greek: to\ ti/ e)stin]) signifies

in one way Essence and Hoc Aliquid, and in different ways all the

other Categories each respectively. To all of them _Est_ belongs,

though not in like manner, but primarily to one and consequentially

to the rest; so also _Quid est_ belongs simply and directly to

Essence, but in a certain way to the others (a. 21). Respecting

Quale, Quantum, and the rest, we may enquire _Quid Est_? so that

Quale also comes under the _Quid est_, though not absolutely or

directly ([Greek: ou)ch a(plô=s], a. 25), but analogously to Non-Ens;

for some assert in words that _Est_ belongs to Non-Ens also though

not absolutely, viz., Non Ens _est_ Non-Ens--(a. 26).

Now we ought to be careful how we express ourselves about any

particular matter, but we ought not to be less careful to determine

how the matter itself really stands (p. 1030, a. 27: [Greek: dei=

me\n ou)=n skopei=n kai\ to\ pô=s dei= le/gein peri\ e(/kaston, ou)

mê\n ma=llo/n ge ê)\ to\ pô=s e)/chei.] This contrast of [Greek: pô=s

dei= le/gein] with [Greek: pô=s e)/chei] appears to refer to what had

been said two lines before: [Greek: _logikô=s_ phasi/ tines ei)=nai

to\ mê\ o)/n]--verbal propositions distinguished from real.). The

phraseology used just before is clear, and we must therefore

recognize that [Greek: t.ê.e.], as well as [Greek: ti/ e)sti],

belongs absolutely and primarily to Essentia, but in a secondary way

to the other Categories; that is not absolutely, but [Greek: poiô=|

t.ê.e., po/sô| t.ê.e.], &c. (a. 31). For we must either declare the

Categories to be simply _æquivoca_, or we must recognize this

addition and subtraction of the separate title of each, like the

non-cognizable cognizable ([Greek: ô(/sper kai\ to\ mê\ e)pistêto\n

e)pistêto/n]--a. 33. I do not understand these words, nor does the

Scholiast or Bonitz explain them satisfactorily.). But the truth is,

that they are neither _æquivoca_ nor _univoca_, but in an

intermediate grade of relation--not [Greek: kath' e(/n], but [Greek:

pro\s e(/n] (b. 3.). People may express this in what phrases they

like; but the truth is, that there is both [Greek: t.ê.e.] and

Definition, directly and primarily, of Essence; and of the other

Categories also, but not directly and primarily. Of white man, you

may give a rational explanation and a definition; but it will apply

in a different manner to white and to the essence of man (b. 12).

There is a farther difficulty to be noticed. How are you to define

any matter not simple but essentially compound, where two or more

elements coalesce into an indivisible whole, like hollow-nosedness

out of nose and hollowness. Here we have hollow-nosedness and

hollowness belonging to the nose _per se_, not as an affection or

accessory; not as white belongs to Kallias or man, but as male

belongs to animal, or equal to quantity, _i.e._, _per se_ (p. 1030,

b. 20). The subject is implicated with the predicate in one name, and

you cannot enunciate the one apart from the other. Such predicates

belong to their subject _per se_, but in a different sense (see

Bonitz's note). You cannot properly define them, in the sense given

above (b. 27). If definitions of such are to be admitted, it must be

in a different sense: Definition and [Greek: t.ê.e.] being recognized

both of them as [Greek: pollachô=s lego/mena]. Definition therefore

is the mode of explanation which declares the [Greek: t.ê.e.], and

belongs to Essences, either exclusively, or at least primarily,

directly, and chiefly (p. 1031, a. 7-14).

We have now to enquire--Whether each particular thing, and its

[Greek: t.ê.e.], are the same, or different (p. 1031, a. 15). This

will assist us in the investigation of Essence; for apparently each

thing is not different from its own Essence, and the [Greek: t.ê.e.]

is said to be the Essence of each thing.

In regard to subjects enunciated _per accidens_, the above two would

seem to be distinct. White man is different from the being a white

man. If these two were the same, the being a man would be the same as

the being a white man; for those who hold this opinion affirm that

man, and white man, are the same; and, if this be so, of course the

being a man must also be the same as the being a white man. Yet this

last inference is not necessary; for _same_ is used in a different

sense, when you say, Man and white man are the same, and when you

say, The being a man and the being a white man are the same. But

perhaps you may urge that the two predicates may become the same _per

accidens_ (_i.e._, by being truly predicated of the same subject);

and that, because you say truly, Sokrates is white--Sokrates is

musical, therefore you may also say truly, The being white is the

same as the being musical. But this will be denied ([Greek: dokei= d'

ou)/]--p. 1031, a. 28).

In regard to subjects enunciated _per se_, the case is otherwise:

here each thing is the same with its [Greek: t.ê.e.] Suppose, _e.g._,

there exist any Essentiæ (such as Plato and others make the Ideas)

prior to all others; in that case, if the [Greek: au)toagatho/n] were

distinct from [Greek: to\ a)gathô=| ei)=nai], and the [Greek:

au)tozô=|on] distinct from [Greek: to\ zô/|ô| ei)=nai], there must be

other Essences and Ideas anterior to the Platonic Ideas. If we

believe [Greek: t.ê.e.] to be Essentia, it must be an Essentia

anterior and superior in dignity to these Ideas of Plato. Moreover,

if the Essentiæ or Ideas, and the [Greek: t.ê.e.], be disjoined

([Greek: a)polelume/nai]--p. 1031, b. 3), the first will be

uncognizable, and the last will be non-existent ([Greek: ta\ d' ou)k

e)/stai]--b. 4). For to have cognition of a thing, is, to know its

[Greek: t.ê.e.] This will be alike true of all [Greek: t.ê.e.]; all

of them are alike existent or alike non-existent (b. 9). If [Greek:

to\ o)/nti ei)=nai] be not identical with [Greek: to\ o)/n], neither

is [Greek: to\ a)gathô=| ei)=nai] identical with [Greek: to\

a)gatho/n], &c. But that of which [Greek: to\ a)gathô=| ei)=nai] is

not truly predicable, is not [Greek: a)gatho/n] (b. 11).

Hence we see that of necessity [Greek: to\ a)gatho/n] is one and the

same with [Greek: to\ a)gathô=| ei)=nai]; likewise [Greek: to\

kalo/n], with [Greek: to\ kalô=| ei)=nai]; and so in all cases where

the term enunciates a subject primarily and _per se_, not a predicate

of some other and distinct subject (p. 1031, b. 13: [Greek: o(/sa mê\

kat' a)/llo le/gêtai, a)lla\ kath' au(ta\ kai\ prô=ta]). This last is

the characteristic and sufficient mark, even if the Platonic Ideas be

not admitted; and even more evidently so, if they be admitted (b.

14). It is at the same time clear that, if the Ideas be what Plato

declares them to be, the individual perceivable subjects here cannot

be Essences; for the Ideas are necessarily Essences, but not as

predicable of a subject. If they were Essences, in this last sense,

they would be Essences _per participationem_; which is inconsistent

with what is said about them by Plato ([Greek: e)/sontai ga\r kata\

me/thexin]--b. 18).

These reasonings show that each separate thing, enunciated _per se_

and not _per accidens_, is the same with its [Greek: t.ê.e.]; that to

know each thing, is, to know its [Greek: t.ê.e.]; that, if you

proceed to expose or lay them out, both are one and the same ([Greek:

ô(/ste kata\ tê\n e)/kthesin a)na/gkê e(/n ti ei)=nai a)/mphô]--p.

1031, b. 21; with Bonitz's explanation of [Greek: e)/kthesis] in his

Note).

But that which is enunciated _per accidens_ (_e.g._, _album_,

_musicum_) cannot be truly affirmed to be one and the same with its

[Greek: t.ê.e.], because it has a double signification: it signifies

both the accident and the subject to which such accident belongs; so

that in a certain aspect it is identical with its [Greek: t.ê.e.],

and in another aspect it is not identical therewith (p. 1031, b. 26).

The being a man, and the being a white man, are not the same; but the

subject for affection is the same in both (b. 28: [Greek: ou)

tau)to\, pa/thei de\ tau)to/]--obscure). The absurdity of supposing,

that the [Greek: t.ê.e.] of a thing is different from the thing

itself, would appear plainly, if we gave a distinct name to the

[Greek: t.ê.e.] For there must be another [Greek: t.ê.e.] above this,

being the [Greek: t.ê.e.] of the first [Greek: t.ê.e.]; and it would

be necessary to provide a new name for the second [Greek: t.ê.e.];

and so forward, in an ascending march _ad infinitum_. What hinders us

from admitting some things at once, as identical with their [Greek:

t.ê.e.], if the [Greek: t.ê.e.] be Essentia? (b. 31). We see from the

preceding reasoning that not only the thing itself is the same with

its [Greek: t.ê.e.], but that the rational explanation ([Greek:

lo/gos]) of both is the same; for One, and the being One, are one and

the same not _per accidens_, but _per se_ (p. 1032, a. 2). If they

were different, you would have to ascend to a higher [Greek: t.ê.e.]

of the being One; and above this, to a higher still, without end (a.

4).

It is therefore clear that, in matters enunciated _per se_ and

primarily, each individual thing is one and the same with its [Greek:

t.ê.e.] The refutations brought by the Sophists against this

doctrine, and the puzzles which they start, _e.g._, Whether Sokrates

and the being Sokrates are the same,--may be cleared up by the

explanations just offered (p. 1032, a. 8). It makes no difference

what particular questions the objector asks: one is as easy to solve

as another (a. 10).

Of things generated, some come by Nature, some by Art, some

Spontaneously. All generated things are generated out of something,

by something, and into or according to something (p. 1032, a. 12).

The word _something_ applies to each and all the Categories. Natural

generation belongs to all the things whose generation comes from

Nature ([Greek: e)k phu/seôs]); having [Greek: to\ e)x ou(=]--what we

call Matter, [Greek: to\ u(ph' ou(=]--one of the things existing by

nature ([Greek: tô=n phu/sei ti o)/ntôn]--a. 17), and [Greek: to\

ti/], such as a man, a plant, or the like, which we call Essences in

the fullest sense ([Greek: ma/lista ou)si/as]). All things generated

either by Nature or Art have Matter: it is possible that each of them

may be, or may not be; and this is what we call Matter in each (a.

20). As an universal truth ([Greek: katho/lou]), Nature includes (1)

That _out of which_, or Matter; (2) That _according to which_

([Greek: kath' o(/]), every thing which is generated having a

definite nature or Form, such as plant or animal; That _by which_, or

nature characterized according to the Form, being the same Form as

the thing generated but in another individual; for a man begets a man

(a. 24).

The other generations are called Constructions ([Greek: poiê/seis]),

which are either from Art, or from Power, or from Intelligence. It is

with these as with natural generations: some of them occur both by

spontaneity and by chance ([Greek: kai\ a)po\ tau)toma/tou kai\ a)po\

tu/chês]--p. 1032, a. 29; the principle of these last is apparently

[Greek: _du/namis_], the second of the three _principia_ announced

just before (?)); both in the one and in the other, some products

arise without seed as well as with seed, which we shall presently

advert to.

The generations from Art are those of which the Form is in the mind.

By Form I mean the [Greek: t.ê.e.] of each thing and its First

Essence ([Greek: tê\n prô/tên ou)si/an], p. 1032, b. 1). For, in a

certain way, the Form even of contraries is the same; since the

essence of privation is the opposite essence: for example, health is

the essence of disease; for disease is declared or described as

absence of health, and health is the rational notion existing in the

mind and in science. Now a healthy subject is generated by such an

antecedent train of thought as follows ([Greek: gi/gnetai dê\ to\

u(gie\s noê/santos ou(/tôs]--b. 6):--Since health is so and so, there

is necessity, if the subject is to attain health, that such and such

things should occur, _e.g._, an even temperature of the body, for

which latter purpose heat must be produced; and so on farther, until

the thought rests upon something which is in the physician's power to

construct. The motion proceeding from this last thought is called

Construction (b. 10), tending as it does towards health. So that, in

a certain point of view, health may be said to be generated out of

health, and a house out of a house; for the medical art is the form

of health and the building art the form of the house: I mean the

[Greek: t.ê.e.], or the Essence without Matter, thereof (b. 14). Of

the generations and motions here enumerated, one is called Rational

Apprehension, viz., that one which takes its departure from the

Principle and the Form; the other, Construction, viz., that which

takes its departure from the conclusion of the process of rational

apprehension ([Greek: a)po\ tou= teleutai/ou tê=s noê/seôs]--b. 17).

The like may be said about each of the intermediate steps: I mean, if

the patient is to be restored to health, he must be brought to an

even temperature. But the being brought to an even temperature, what

is it? It is so and so; it will be a consequence of his being warmed.

And this last again--what is it? So and so; which already exists

potentially, since it depends upon the physician to produce it, the

means being at his command ([Greek: tou=to d' ê)/dê e)p' au)tô=|]--b.

21).

We see thus that the Constructive Agency ([Greek: to\ poiou=n]) and

the point from which the motion towards producing health takes its

origin, is, when the process is one of Art, the Form present in the

mind; and, when the process is one of Spontaneity, it proceeds from

that which would be the first proceeding of the artist, if Art had

been concerned. In the medical art, _e.g._, the artist begins by

imparting warmth. He does this by rubbing. But this warmth might

perhaps arise in the body without any such rubbing or interference by

the artist. The warmth is the prime agent, in the case of spontaneous

production. The warmth is either a part of health, or a condition to

the existence of health, as bricks are to that of a house (p. 1032,

b. 30).

Nothing can be generated, if nothing pre-existed--as has been already

said before. Some part of what is generated must exist before: Matter

pre-exists, as in-dwelling and not generated ([Greek: ê( ga\r u(/lê

me/ros; e)nupa/rchei ga\r kai\ gi/gnetai au(/tê]--p. 1033, a. 1. I do

not understand these last words: it ought surely to be--[Greek:

e)nupa/rchei ga\r kai\ _ou)_ gi/gnetai au(/tê]. Bonitz's explanation

suits these last words better than it suits the words in the actual

text.).

But something of the Form or rational explanation ([Greek: tô=n e)n

tô=| lo/gô|]) must also pre-exist. In regard to a brazen circle, if

we are asked, _Quid est_? we answer in two ways: We say of the

Matter--It is brass; We say of the Form--It is such and such a

figure. And this is the genus in which it is first placed (p. 1033,

a. 4).

The brazen circle has Matter in its rational explanation. But that

which is generated, is called not by the name of the Matter out of

which it is generated, but by a derivative name formed therefrom; not

[Greek: e)kei=no], but [Greek: e)kei/ninon]. A statue is called not

[Greek: li/thos], but [Greek: li/thinos]. But, when a man is made

healthy, he is not said to be the Matter out of which the health is

generated; because that which we call the Matter is generated out of

Privation along with the subject. Thus, both the man becomes healthy,

and the patient becomes healthy; but the generation is more properly

said to come out of Privation: we say, _Sanus ex ægroto generatur_,

rather than, _Sanus ex homine generatur_ (p. 1033, a. 12). In cases

where the Privation is unmarked and unnamed, as, in the case of

brass, privation of the spherical, or any other, figure, and, in the

case of a house, the privation of bricks or wood, the work is said to

be generated out of them like a healthy man out of a sick man (a.

14). Nevertheless the work is not called by the same name as the

material out of which it is made, but by a paronym thereof; not

[Greek: xu/lon] but [Greek: xu/linon] (a. 18). In strict propriety,

indeed, we can hardly say that the statue is made out of brass, nor

the house out of wood; for the _materia ex quâ_ ought to be something

which undergoes change, not something which remains unchanged (a.

21).

It was remarked that in Generation there are three things or aspects

to be distinguished--

1. [Greek: To\ u(ph' ou(=, o(/then ê( a)rchê\ tê=s gene/seôs].

2. [Greek: To\ e)x ou(=]--rather [Greek: u(/lê] than [Greek:

ste/rêsis].

3. [Greek: Ti/ gi/gnetai].

Having already touched upon the two first, I now proceed to the

third. What is it that is generated? Neither the Matter, nor the

Form, but the embodiment or combination of the two. An artisan does

not construct either the brass or the sphere, but the brazen sphere.

If he be said to construct the sphere, it is only by accident

([Greek: kata\ sumbebêko/s]), since the sphere in this particular

case happens to be of brass. Out of the entire subject-matter, he

constructs a distinct individual Something (p. 1033, a. 31). To make

the brass round, is not to make the round, or to make the sphere, but

to make a something different: that is the Form (of sphericity)

embodied in another thing (a. 32). For, if the artisan made the round

or the sphere, he must make them out of something different,

pre-existing as a subject: _e.g._, he makes a brazen sphere, and in

this sense--that he makes out of that Matter, which is brass, this

different something, which is a sphere. If he made the sphere

itself--the Form of sphere--he must make it out of some pre-existent

subject; and you would thus carry back _ad infinitum_ the different

acts of generation and different pre-existent subjects (b. 4).

It is, therefore, clear that [Greek: to\ ei)=dos], or by whatever

name the shape of the percipiend is to be called, is not generated,

nor is generation thereof possible; nor is there any [Greek: t.ê.e.]

thereof; that is, of the Form abstractedly: for it is this very

[Greek: t.ê.e.] which is generated or becomes embodied in something

else, either by nature, or by art, or by spontaneous power (p. 1033,

b. 8). The artisan makes a brazen sphere to exist, for he makes it

out of brass (Matter), and the sphere (Form): he makes or embodies

the Form into this Matter, and that is a brazen sphere (b. 11). If

there be any generation of the sphere _per se_ ([Greek: tou=

sphaira=| ei)=nai]), it must be Something out of Something; for the

Generatum must always be resolvable into a certain Matter and a

certain Form. Let the brazen sphere be a figure in which all points

of the circumference are equidistant from the centre; here are three

things to be considered: (1) That in which what is constructed

resides; (2) That which does so reside; (3) The entire Something

generated or constructed--the brazen sphere. We see thus plainly that

what is called the Form or Essence itself is not generated, but the

combination called _according to the Form_ is generated; moreover

that in every Generatum there is Matter, so that the Generatum is in

each case this or that (b. 19).

Can it be true, then, that there exists any sphere or house beyond

those which we see or touch (_i.e._, any Form or Idea of a sphere,

such as Plato advocates)? If there existed any such, it could never

have become or been generated into Hoc Aliquid. It signifies only

_tale_. It is neither This nor That nor any thing defined: but it (or

rather the Constructive Agency) makes or generates _ex hoc tale_; and

when this last has been generated, it is Tale Hoc (p. 1033, b. 22),

and the entire compound is Kallias, or Sokrates, or _this_ brazen

sphere, while man, animal, &c., are analogous to brazen sphere

generally. Even if there exist Platonic Forms by themselves, they

could be of no use towards generation or the production of Essences.

Frequently it is obvious that the Generans is like the Generatum,

only a different individual. There is no occasion to assume the

Platonic Form as an Exemplar; for the generating individual is quite

sufficient of itself to be the cause of the Form in a new mass of

Matter. The entire result is the given Form in these particular bones

and flesh--called Kallias or Sokrates: each is different so far as

Matter, but the same in the Form; for the Form is indivisible (p.

1034, a. 7).

But how does it happen that there are some things which are generated

sometimes by art, sometimes spontaneously (_e.g._, health), while in

other things (_e.g._, a house) spontaneous production never takes

place? The reason is, that, in the first class of cases, the Matter

which governs the work of generation by the artist, and in which

itself a part of the finished product resides, is of a nature to be

moved or modified by itself, while, in the second, this is not the

fact; and to be moved, besides, in a certain manner and direction;

for there are many things which are movable by themselves, but not in

such manner and direction as the case which we are supposing

requires. For example, stones are incapable of being moved in certain

directions except by some other force, but they are capable of being

moved by themselves in another direction; the like with fire. It is

upon this that the distinction turns between some results which

cannot be realized without an artist, and others which may perhaps be

so realized (a. 17).

It is plain from what has been said that, in a certain sense,

everything is generated from something of the same name, as natural

objects are (_e.g._, a man); or from something in part bearing the

same name (as a house out of the ideal form of a house), or from

something which possesses that which in part bears the same name; for

the first cause of the generation is itself part of the thing

generated. The heat in the motion generates heat in the body; and

this is either health, or a part of health, or the antecedent of one

or other of these; hence it is said to produce or generate health,

because it produces that of which health is concomitant and

consequent (p. 1034, a. 30; see Bonitz's correction in his Note).

Essence is in these cases the beginning or principle of all

generations, just as in Demonstration it is the beginning or

principle of all syllogisms (a. 33). In the combinations and growths

of Nature, the case is similar. The seed constructs, as Art

constructs its products; for the seed has in it potentially the Form,

and that from which comes the seed is, in a certain manner, of the

same name with the product (b. 1). For we must not expect to find

_all_ generations analogous to that of man from man--woman also is

generated from man, moreover, mule is not generated from mule--though

this is the usual case, when there is no natural bodily defect (b.

3). Spontaneous generation occurs in the department of Nature, as in

that of Art, wherever the Matter can be moved by itself in the same

manner as the seed moves it: wherever the Matter cannot be so moved

by itself, there can be no generation except the natural, from

similar predecessors (b. 7, [Greek: e)x au)tô=n]--compare Bonitz's

note: "non ex ipsis, sed [Greek: e)x au)tô=n tô=n poiou/ntôn]").

This doctrine--That the Form is not generated, does not belong to

Essence alone, but also to all the other Categories alike--Quality,

Quantity, and the rest (p. 1034, b. 9). It is not the Form Quality

_per se_ which is generated, but _tale lignum_, _talis homo_: nor the

Form Quantity _per se_, but _tantum lignum_ or _animal_ (b. 15). But,

in regard to Essence, there is thus much peculiar and distinctive as

compared with the other Categories: in the generation of Essence,

there must pre-exist as generator another _actual_ and _complete_

Essence; in the generation of Quality or Quantity, you need nothing

pre-existing beyond a _potential_ Quality or a _potential_ Quantity

(b. 16).

A difficult question arises in this way: Every definition is a

rational explanation consisting of parts; and, as the parts of the

explanation are to the whole explanation, so are the parts of the

thing explained to the whole thing explained. Now is it necessary or

not, that the rational explanation of the parts shall be embodied in

the rational explanation of the whole (p. 1034, b. 22)? In some cases

it appears to be so; in others, not. The rational explanation of a

circle does not include that of its segments; but the rational

explanation of a syllable does include that of its component letters.

Moreover, if the parts are prior to the whole, and if the acute angle

be a part of the right angle, and the finger a part of the man, the

acute angle must be prior to the right angle, and the finger to the

man. Yet the contrary seems to be the truth: the right angle seems

prior, also the man; for the rational explanation of acute angle is

given from right angle, that of finger from man: in respect to

existing without the other, right angle and man seem _priora_. In

fact the word _part_ is equivocal, and it is only one of its meanings

to call it--that which quantitatively measures another (b. 33). But

let us dismiss this consideration, and let us enquire of what it is

that Essence consists, as parts (b. 34). If these are (1) Matter,

(2) Form, (3) The Compound of the two, and if each of these three be

Essence, Matter must be considered, in a certain way, as a part of

something, yet in a certain way as not so; in this latter point of

view, nothing being a part except those elements out of which the

rational explanation of the Form is framed (p. 1035, a. 2). Thus,

flesh is not a part of flatness, being the matter upon which flatness

is generated or superinduced, but flesh is a part of flat-nosedness;

the brass is a part of the entire statue, but not a part of the

statue when enunciated as Form, or of the ideal statue. You may

discriminate and reason separately upon the statue considered as Form

(apart from the complete statue); but you cannot so discriminate the

material part _per se_, or the statue considered as Matter only (a.

7). Hence the rational explanation of the circle does not contain

that of the segments of the circle; but the rational explanation of

the syllable does contain that of the component letters. The letters

are parts of the Form, and not simply the Matter upon which the Form

is superinduced; but the segments are parts in the sense of being the

Matter upon which the Form of the circle is superinduced (a. 12):

they are, however, nearer to the Form than the brass, when the Form

of a circle or roundness is generated in brass (a. 13). In a certain

way, indeed, it cannot be said that _all_ the letters are contained

in the rational explanation of the syllables; _e.g._, the letters

inscribed in wax are not so contained, nor the sounds of those

letters vibrating in the air; both these are a part of the syllable,

in the sense of being the perceivable matter thereof (a. 17: [Greek:

ô(s u(/lê ai)sthêtê/]). If a man be destroyed by being reduced to

bones, ligaments, and flesh, you cannot for that reason say, that the

man is composed of these as of parts of his Essence, but as parts of

his Matter: they are parts of the entire man, but not of the Form,

nor of what is contained in the rational explanation; accordingly

they do not figure in the discussions which turn upon rational

explanation, but only when the discussions turn upon the entire or

concrete subject (a. 23). Hence, in some cases, things are destroyed

into the same _principia_ out of which they are formed; in other

cases, not. To the first class, belong all things which are taken in

conjunction with Matter, such as the flat-nosed or, the brazen

circle; to the second class, those which are taken disjoined from

Matter, with Form only. Objects of the first class, (_i.e._, the

concretes) have thus both _principia_ and parts subordinate; but

neither the one nor the other belong to the Form alone (a. 31). The

plaster-statue passes when destroyed into plaster, the brazen circle

into brass, Kallias into flesh and bones; and even the circle, when

understood in a certain sense, into its segments, for the term circle

is used equivocally, sometimes to designate the Form of a circle,

sometimes to designate this or that particular circle--particular

circles having no name peculiar to themselves (b. 3).

That which has been already said is the truth; yet let us try to

recapitulate it in a still clearer manner (p. 1035, b. 4). The parts

of the rational explanation or notion, into which that notion is

divided, are prior to the notion, at least in some instances. But the

notion of a right angle is prior to that of an acute angle or is one

of the elements into which the notion of an acute angle is divided;

for you cannot define an acute angle without introducing the right

angle into your definition, nor can you define the semicircle without

introducing the circle, nor the finger without introducing the

man--the finger being such and such a part of the man. The parts into

which man is divided as Matter, are posterior to man; those into

which man is divided as parts of his Form or Formal Essence, are

prior to man--at least some of them are so (b. 14). Now, since the

soul of animals (which is the Essence of the animated being--b. 15)

is the Essence and the Form and the [Greek: t.ê.e.] of a suitably

arranged body; and, since no good definition of any one part can be

given, which does not include the function of that part, and this

cannot be given without the mechanism of sense (b. 18), it follows

that the parts of this soul, or some of them at least, are prior to

the entire animal, alike in the general and in each particular case.

But the body and its parts are posterior to the soul or Form, and

into these, as parts, the entire man (not the Essence or Form) is

divided. These parts are, in a certain sense, prior to the entire

man, and, in a certain sense, not; for they cannot even exist at all

separately (b. 23): the finger is not a finger unless it can perform

its functions, _i.e._, unless it be animated by a central soul; it is

not a finger in every possible state of the body to which it belongs;

after death, it is merely a finger by equivocation of language. There

are, however, some parts, such, as the brain or heart, to which the

Form or Essence is specially attached which are neither prior nor

posterior but _simul_ to the entire animal (b. 25).

Man, horse, and such like, which are predicated universally of

particular things, are not Essentia; they are compounds of a given

Form and a given Matter (but of that first Matter) which goes to

compose Universals. It is out of the last Matter, which comes lowest

in the series, and is already partially invested with Form, that

Sokrates and other particular beings are constituted (p. 1035, b.

30).

Thus, there are parts of the Form or [Greek: t.ê.e.], parts of the

Matter, and parts of the Compound including both. But it is only the

parts of the Form that are included as parts in the rational

explanation or notion; and this notion belongs to the Universal; for

circle and the being a circle, soul and the being a soul--are one and

the same (p. 1036, a. 2). Of the total compound (this particular

circle), no notion, no definition, can be given: whether it be a

particular circle perceivable by sense, in wood or brass, or merely

conceivable, such as the mathematical figures. Such particular

circles are known only along with actual perception or conception (a.

6. [Greek: Noei=n] here means the equivalent of [Greek: a)phairei=n =

chôri/zein tê=| dianoi/a|]--"die Thätigkeit des Abstrahirens, durch

welche das Mathematische gewonnen wird"--Schwegler ad loc. Comm., p.

101, Pt. II.): when we dismiss them as actualities from our view or

imagination, we cannot say clearly whether they continue to exist or

not; but we always talk of them and know them by the rational

explanation or definition of the universal circle (a. 7: [Greek:

a)peltho/ntas d' e)k tê=s e)ntelechei/as ou) dê=lon po/tero/n pote/

ei)sin ê)\ ou)k ei)si/n, a)ll' a)ei\ le/gontai kai\ gnôri/zontai tô=|

katho/lou lo/gô|.] I apprehend that Aristotle is here speaking of the

[Greek: ku/klos noêto/s] only, not of the [Greek: ku/klos

ai)sthêto/s] or [Greek: chalkou=s ku/klos]. He had before told us

that, when the [Greek: chalkou=s ku/klos] passes out of [Greek:

e)ntele/cheia] or [Greek: phthei/retai], it passes into [Greek:

chalko/s]. He can hardly therefore mean to say that, when the [Greek:

chalkou=s ku/klos] passes out of [Greek: e)ntele/cheia], we do not

clearly know whether it exists or not. But respecting the [Greek:

ku/klos noêto/s] or mathematical circle, he might well say that we

did not clearly know whether it existed at all under the

circumstances supposed: if it cease to exist, we cannot say [Greek:

ei)s o(\ phthei/retai]). Matter is unknowable _per se_ ([Greek: kath'

au(tê/n]--a. 9, _i.e._, if altogether without Form). One variety of

Matter is perceivable by sense, as brass, wood, and all moveable

matter; another variety is conceivable, viz., that which exists in

the perceivable variety, but not _quâ_ perceivable--the mathematical

figures ([Greek: noêtê\ de\ ê( e)n toi=s ai)sthêtoi=s u(pa/rchousa

mê\ ê(=| ai)sthêta/, oi(=on ta\ mathêmatika/]--a. 12; _i.e._, making

abstraction of the acts of sense, or of what is seen and felt by

sense, viz., colour by the eye, resistance by the touch; and leaving

behind simply the extension or possibility of motion, which is a

geometrical line).

We have now laid down the true doctrine respecting Whole and Part,

Prius and Posterius. And, if any one asks whether the right angle,

the circle, the animal, is prior or not to the parts into which it is

divided and out of which it is formed, we cannot answer absolutely

either Yes or No. We must add some distinguishing words, specifying

what we assert to be prior, and to what it is prior (p. 1036, a. 19).

If by the soul you mean the Form or Essence of the living animal, by

the circle, the Form of the circle, by the right angle, the Form or

Essence thereof,--then this Form is posterior in regard to the

notional parts of which it is constituted, but prior in regard to the

particular circle or right angle. But, if by soul you meant the

entire concrete animal, by right angle or circle, these two figures

realized in brass or wood, then we must reply that any one of these

is prior as regards the material parts of which it is constituted (a.

25).

Another reasonable doubt arises here ([Greek: a)porei=tai d'

ei)ko/tôs]--p. 1036, a. 26) as to which parts belong to the Form

alone, which to the entire Concrete. Unless this be made clear, we

can define nothing; for that which we define is the Universal and the

Form, and, unless we know what parts belong to the Matter and what do

not, the definition of the thing can never be made plain (a. 30).

Now, wherever the Form is seen to be superinduced upon matters

diverse in their own Form, the case presents no difficulty: every one

sees circles in brass, stone, wood, &c., and is well aware that

neither the brass, nor the stone, belongs to the Form or Essence of

the circle, since he easily conceives a circle without either. But,

if a man had never seen any circles except brazen circles, he would

have more difficulty in detaching mentally the circle from the brass,

and would be more likely to look upon brass as belonging to the Form

of circle; although, in point of fact, he would have no more logical

ground for supposing so than in the case just before supposed; for

the brass might still belong only to the Matter of circle (b. 2).

This is the case with the Form of man. It is always seen implicated

with flesh, bones, and such like parts. Are these parts of the Form

of man? Or are they not rather parts of the Matter, though we are

unable to conceive the Form apart from them, because we never see it

in conjunction with any other Matter? This is at least a possibility,

and we cannot see clearly in what cases it must be admitted. Some

theorists are so impressed by it as to push the case farther, and

apply the same reasoning to the circle and triangle. These theorists

contend that it is improper to define a circle and a triangle by

figure, lines, continuity, &c., which (they affirm) are only parts of

the Matter of circle and triangle; as flesh and bones are parts of

the Matter of man. They refer all of them to numbers as the Form, and

they affirm that the definition of the dyad is also the definition of

a line (b. 12). Among the partisans of Ideas, some call the dyad

[Greek: au)togrammê/] others call it the Form of a line; saying that

in some cases the Form and that of which it is the Form are the same,

as the dyad and the Form of the dyad, but that this is not true about

line. (These two opinions seem to be substantially the same, and only

to differ in the phrase. [Greek: Au)togrammê/] means the same as

[Greek: to\ ei)=dos tê=s grammê=s]: it seems to have been a peculiar

phrase adopted by some Platonists, but not by all. Others preferred

to say [Greek: to\ ei)=dos tê=s grammê=s].) These reasonings have

already misled the Pythagoreans, and are likely to mislead others

also: they would conduct us to the recognition of one and the same

Form in many cases where the Form is manifestly different: they lead

us even to assume one single Form universally, reducing every thing

besides to be no Form, but merely Matter to that one single real

Form. By such reasoning, we should be forced to consider all things

as One (b. 20), which would be obviously absurd.

We see from hence that there are real difficulties respecting the

theory of Definition, and how such difficulties arise. It is because

some persons are forward overmuch in trying to analyse every thing

and in abstracting altogether from Matter; for some things include

Matter along with the Form, or determined in a certain way, _i.e._,

this along with that, or these things in this condition (p, 1036, b.

22). The comparison which the younger Sokrates was accustomed to make

about the animal is a mistaken one (b. 24): it implies that man may

be without his material parts, as the circle may exist without brass.

But this analogy will not hold; animal is something perceivable by

sense and cannot be defined without motion; of course, therefore, not

without bodily members organized in a certain way (b. 30). The hand

is not a part of man, when it is in any supposable condition, but

only when it can perform its functions, that is, when it is animated;

when not animated, it is not a part (b. 32). Clearly the soul is the

first Essence or Form, the body is Matter, and man or animal is the

compound of both as an Universal; while Sokrates, Koriskus &c., are

as particulars to this Universal, whether you choose to take Sokrates

as soul without body, or as soul with body (p. 1037, a. 5-10: these

words are very obscure).

Respecting Mathematical Entia, why are not the notions of the

**parts parts of the notion of the whole? _e.g._, why is not the

notion of a semi-circle part of the notion of a circle? Perhaps it

will be replied that this circle and semi-circle are not perceivable

by sense: but this after all makes no difference; for some things

even not perceivable by sense involve Matter along with them, and

indeed Matter is involved in every thing which is not [Greek: t.ê.e.]

and Form [Greek: au)to\ kath' au(to/]. The semi-circles are not

included as parts of the notion of the universal circle; but they are

parts of each particular circle: for there is one Matter perceivable

and another cogitable (p. 1036, a. 34.--Bonitz remarks that these

words from p. 1036, a. 22 to p. 1037, a. 5, are out of their proper

place). Whether there be any other Matter, besides the Matter of

these Mathematical Entia, and whether we are to seek a distinct Form

and Essence for them--such as numbers, must be reserved for future

enquiry. This has been one of our reasons for the preceding chapters

about perceivable Essences; for these last properly belong to the

province of Second Philosophy--of the physical theorist ([Greek: tê=s

phusikê=s kai\ deute/ras philosophi/as e)/rgon]--p. 1037, a. 15). The

physical philosopher studies not merely the Matter, but the Form or

notional Essence even more (a. 17).

We are now in a position to clear up what was touched upon in the

Analytica (Anal. Poster. II. p. 92, a. 27; also, De Interp. v. p. 17,

a. 13), but not completed, respecting Definition. How is it that the

definition is One? We define man _animal bipes_: How is it that this

is One and not Many? Man and white are two, when the latter does not

belong to the former: when it does so belong to and affects the

former, the two are One--white man (p. 1037, b. 16): that is, they

are One [Greek: kata\ pa/thos]. But the parts included in the

definition are not One [Greek: kata\ pa/thos], nor are they one

[Greek: kata\ me/thexin]; for the Genus cannot be said to partake of

the Differentiæ. If it did, it would at one and the same time partake

of Opposita, for the Differentiæ are Opposita to each other. And,

even if we say that the Genus does partake of the Differentiæ, the

same difficulty recurs, when the Differentiæ are numerous. The Genus

must partake alike and equally of all of them; but how is it that all

of them are One, and not Many? It cannot be meant that all of them

belong essentially to the thing; for, if that were so, all would be

included in the definition, which they are not. We want to know why

or how those Differentiæ which are included in the definition

coalesce into One, without the rest: for we call the _definiend_

[Greek: e(/n ti kai\ to/de ti] (b. 27).

In answering this question, we take, as a specimen, a definition

which arises out of the logical subdivision of a Genus (p. 1037, b.

28). Definition is given by assigning the Genus and Difference: the

Genus is the Matter, the Difference is the Form or Essence; the two

coalesce into one as Form and Matter. In the definition of

man--_animal bipes_--_animal_ is the Matter and _bipes_ the Form; so

that the two coalescing form an essential One. It does not signify

through how many stages the logical subdivision is carried, provided

it be well done; that is, provided each stage be a special and

appropriate division of all that has preceded. If this condition be

complied with, the last differentia will include all the preceding,

and will itself be the Form of which the genus serves as Matter. You

divide the genus animal first into [Greek: zô=|on u(po/poun--zô=|on

a)pou=n]; you next divide [Greek: zô=|on u(po/poun] into [Greek:

zô=|on u(po/poun di/poun--zô=|on u(po/poun polu/poun]; or perhaps

into [Greek: zô=|on u(po/poun schizo/pun--zô=|on u(po/poun

a)/schiston]. It is essential that the next subdivision applied to

[Greek: zô=|on u(po/poun] should be founded upon some subordinate

differentia specially applying to the feet (p. 1038, a. 14: [Greek:

au(=tai ga\r diaphorai\ podo/s; ê( ga\r schizopodi/a podo/tês tis]).

If it does not specially apply to the feet, but takes in some new

attribute (_e. g._, [Greek: pterôto/n, a)/pteron]), the division will

be unphilosophical. The last differentia [Greek: zô=|on di/poun]

includes the preceding differentia [Greek: u(po/poun]: to say [Greek:

zô=|on u(po/poun di/poun] would be tautology. Where each differentia

is a differentia of the preceding differentiæ, the last differentia

includes them all and is itself the Form and Essence, along with the

genus as Matter (a. 25). The definition is the rational explanation

arising out of these differences, and by specifying the last it

virtually includes all the preceding (a. 29: [Greek: o( o(rismo\s

lo/gos e)sti\n o( e)k tô=n diaphorô=n, kai\ tou/tôn tê=s teleutai/as

kata/ ge to\ o)rtho/n]).

In the constituents of the Essence, there is no distinctive order of

parts; no subordination of _prius_ and _posterius_; all are equally

essential and coordinate ([Greek: ta/xis d' ou)k e)/stin e)n tê=|

ou)si/a|]--p. 1038, a. 33).

As we are treating now about Essence, it will be convenient to go

back to the point from which we departed, when we enumerated the four

varieties recognized by different philosophers. These were (1) The

Subject--Substratum--Matter, which is a subject of predicates in two

different ways: either as already an Hoc Aliquid and affected by

various accidents, or as not yet an Hoc Aliquid, but simply Matter

implicated with Entelechy (p. 1038, b. 6); (2) Form--Essence--the

[Greek: t.ê.e.]; (3) The Compound or Product of the preceding two;

(4) The Universal ([Greek: to\ katho/lou]). Of these four, we have

already examined the first three; we now proceed to the fourth.

Some philosophers consider the Universal to be primarily and

eminently Cause and Principle (p. 1038, b. 7). But it seems

impossible that any thing which is affirmed universally can be

Essence. For that is the First Essence of each thing which belongs to

nothing but itself; but the Universal is by its nature common to many

things. Of which among these things is it the Essence? Either of all

or of no one. Not of all certainly; and, if it be the Essence of any

one, the rest of them will be identical with that one; for, where the

Essence is one, the things themselves are one (b. 15). Besides, the

Essence is that which is not predicated of any subject: but the

Universal is always predicated of a subject.

Perhaps, however, we shall be told, that the Universal is not

identical with [Greek: t.ê.e.], but is Essence which is immanent in

or belongs to [Greek: t.ê.e.], as animal in man and horse. But this

cannot be admitted. For, whether we suppose animal to be definable or

not, if it be essence of any thing, it must be the essence of

something to which it belongs peculiarly, as _homo_ is the essence of

man peculiarly; but, if animal is to be reckoned as the essence of

man, it will be the essence of something to which it does not

peculiarly belong; and this contradicts the definition of Essence (p.

1038, b. 15-23. This passage is very obscure, even after Bonitz and

Schwegler's explanatory notes. I incline to Schwegler, and to his

remark, Comm. II. p. 115, that the text of b. 23 ought to be written

[Greek: e)n ô(=| _mê\_ ô(s i)/dion u(pa/rchei].).

Again, it is impossible that Essence, if composed of any elements,

can be composed of what is not Essence, as of Quality; for this would

make Quality _prius_ as regards Essence; which it cannot be, either

in reason ([Greek: lo/gô|]), or in time, or in generation. If this

were so, the affections would be separable from Essences (p. 1038, b.

28). Essence, if composed of any thing, must be composed of Essence.

Once more, if the individual man or horse are Essences, nothing which

is in the definition of these can be Essence; nor apart from that of

which it is Essence; nor in any thing else. There cannot be any man,

apart from individual men (p. 1038, b. 34).

Hence we see clearly that none of the universal predicates are

Essence: none of them signify Hoc Aliquid, but Tale. To suppose

otherwise, would open the door to many inadmissible consequences,

especially to the argument of the 'Third Man' (p. 1039, a. 2).

Another argument to the same purpose:--It is impossible that Essence

can be composed of different Essences immanent in one Entelechy. Two

in the same Entelechy can never be One in Entelechy. If indeed they

be two _in potentiâ_, they may coalesce into one Entelechy, like one

double out of two potential halves. But Entelechy establishes a

separate and complete existence (p. 1039, a. 7); so that, if Essence

is One, it cannot be made up of distinct Essences immanent or

inherent. Demokritus, who recognized only the atoms as Essences, was

right in saying, that two of them could not be One, nor one of them

Two. The like is true about number, if number be, as some contend, a

synthesis of monads. For either the dyad is not One; or else the

monads included therein are not monads [Greek: e)ntelechei/a|] (a.

14).

Here however we stumble upon a difficulty. For, if no Essence can be

put together out of Universals, nor any compound Essence out of other

Essences existing as Entelechies, all Essence must necessarily be

simple and uncompounded, so that no definition can be given of it.

But this is opposed to every one's opinion, and to what has been said

long ago, that Essence alone could be defined; or at least Essence

most of all. It now appears that there can be no definition of

Essence, nor by consequence of any thing else. Perhaps, however this

may be only true in a certain sense: in one way, definition is

possible; in another way, not. We shall endeavour to clear up the

point presently (p. 1039, a. 22.--Schwegler says in his note upon

this passage: "Die von Aristoteles häufig berührte, doch nie zur

abschliessenden Lösung gebrachte, Grundaporie des aristotelischen

Systems"--Comm. II. p. 117).

Those who maintain that Ideas are self-existent are involved in

farther contradictions by admitting at the same time that the Species

is composed out of Genus and Differentia. For, suppose that these

Ideas are self-existent and that [Greek: au)tozô=|on] exists both in

man and horse: [Greek: au)tozô=|on] is, in these two, either the same

or different numerically. It is, of course, the same in definition or

notion ([Greek: lo/gô|]); of that there can be no doubt. If it be

numerically same ([Greek: ô(/sper su= sautô=|]) in man and in horse,

how can this same exist at once in separate beings, unless we suppose

the absurdity that it exists apart from itself (p. 1039, b. 1)?

Again, are we to imagine that this generic Ens, [Greek: au)tozô=|on],

partakes at the same time of contrary differentiæ--the dipod,

polypod, apod? If it does not, how can dipodic or polypodic animals

really exist? Nor is the difficulty at all lessened, if, instead of

saying that the generic Ens partakes of differentiæ, you say that it

is _mixed_ with them, or _compounded_ of them, or _in contact_ with

them. There is nothing but a tissue of absurdities ([Greek: pa/nta

a)/toma]--b. 6).

But take the contrary supposition and suppose that the [Greek:

au)tozô=|on] is numerically different in man, horse, &c. On this

admission, there will be an infinite number of distinct beings of

whom the [Greek: au)tozô=|on] is the Essence; man, for example, since

animal is not accidental, but essential, as a constituent of man (p.

1039, b. 8). [Greek: Au)tozô=|on] will thus be Many ("ein

Vielerlei"--Schwegler); for it will be the Essence of each particular

animal, of whom it will be predicated essentially and not accidentally

([Greek: ou) ga\r ka/t' a)/llo le/getai]--_i.e._, this is not a case

where the predicate is something distinct from the subject). Moreover

all the constituents of man will be alike Ideas (_e.g._, not merely

[Greek: zô=|on], but [Greek: di/poun]): now the same cannot be Idea of

one thing and Essence of another; accordingly, [Greek: au)tozô=|on]

will be each one of the essential constituents of particular animals

([Greek: di/poun, polu/poun], b. 14).

Again, whence comes [Greek: au)tozô=|on] itself, and how do the

particular animals arise out of it? How can the [Greek: zô=|on] which

is Essence, exist apart from and alongside of [Greek: au)to\ to\

zô=|on]? (p. 1039, b. 15.)

These arguments show how impossible it is that there can exist any

such Ideas as some philosophers affirm (p. 1039, b. 18).

We have already said that there are two varieties of Essence: (1) The

Form alone, (2) The Form embodied in Matter. The Form or Essence in

the first meaning, is neither generable nor destructible; in the

second meaning it is both. [Greek: To\ oi)ki/a| ei)=nai] is neither

generable nor destructible; [Greek: to\ tê=|de tê=| oi)ki/a| ei)=nai]

is both the one and the other (p. 1039, b. 25). Of these last,

therefore, the perceivable or concrete Essences, there can be no

definition nor demonstration, because they are implicated with

Matter, which is noway necessary, or unchangeable, but may exist or

not exist, change or not change. Demonstration belongs only to what

is necessary; Definition only to Science, which cannot be to-day

Science and to-morrow Ignorance. Neither Science, nor Demonstration,

nor Definition, applies to such things as may be otherwise: these

latter belong to Opinion ([Greek: tou= e)ndechome/nou a)/llôs

e)/chein]--p. 1040, a. 1). You cannot have Science or Demonstration

or Definition about particular or perceivable things, because they

are destroyed and pass out of perception, so that you do not know

what continues to be true about them; even though you preserve the

definition in your memory, you cannot tell how far it continues

applicable to them (a. 7). Any definition given is liable to be

overthrown.

Upon the same principle, there cannot be any definition of the

Platonic Ideas; each of which is announced as a particular, distinct,

separable, Ens (p. 1040, a. 8). The definition must be composed of

words--of the words of a language generally understood--and of words

which, being used by many persons, are applicable to other

particulars besides the definiend (you define Alexander as white,

thin, a philosopher, a native of Aphrodisias, &c., all of which are

characteristics applicable to many other persons besides). The

definer may say that each characteristic taken separately will apply

to many things, but that the aggregate of all together will apply to

none except the definiend. We reply however, that [Greek: zô=|on

di/poun] must have at least two subjects to which it applies--[Greek:

to\ zô=|on] and [Greek: to\ di/poun]. Of course this is all the more

evident about eternal Entia like the Platonic Ideas, which are prior

to the compound and parts thereof ([Greek: zô=|on] and [Greek:

di/poun] are each prior and both of them parts of [Greek:

au)toa/nthrôpos]), and separable, just as [Greek: au)toa/nthrôpos] is

separable (a. 14-20); for either neither of them is separable, or

both are so. If neither of them is separable, then the Genus is

nothing apart from the Species, and the Platonic assumption of

self-existent Ideas falls to the ground; if both are separable, then

the Differentia is self-existent as well as the Genus (a. 21): there

exist some Ideas prior to other Ideas. Moreover, the Genus and

Differentia, the component elements of the Species, are logically

prior to the Species: suppress the Species, and you do not suppress

its component elements; suppress these, and you _do_ suppress the

Species (a. 21). We reply farther that, if the more compound Ideas

arise out of the less compound, the component elements (like [Greek:

zô=|on di/poun]) must needs be predicable of many distinct subjects.

If this be not so always, how are we to distinguish the cases in

which it is true from those in which it is not? You must assume the

existence of some Idea which can only be predicated of some one

subject, and no others. But this seems impossible. Every Idea is

participable (a. 27).

These philosophers do not reflect that definition is impossible of

eternal Essences (which the Platonic Ideas are), especially in cases

where the objects are essentially unique, as Sun, or Moon, or Earth

(p. 1040, a. 29). When they try to define Sun, they are forced to use

phrases which are applicable to many in common; but Sun, (and each

Idea) is particular and individual, like Kleon or Sokrates. Why does

none of them produce a definition of an Idea? If any one tried, he

would soon see the pertinence of the above remarks (b. 3).

(Alexander, Bonitz, and Schwegler, all observe incidentally that the

reasoning of what immediately precedes is weak and sophistical.

Bonitz, p. 352, gives a good summary of the chapter, concluding: "Hoc

capite non id ipsum demonstrat, res singulas non esse substantias,

sed rerum singularum non esse definitionem neque scientiam; nimirum

quum substantiæ vel unice vel potissimum esse definitionem

demonstratum sit, c. 4, hoc si comprobat, illud simul est

comprobatum.")

It is farther evident that many apparent Essences are not strictly

and truly Essences; for example, the parts of animals; since not one

of them is separated from the whole ([Greek: ou)the\n ga\r

kechôrisme/non au)tô=n e)sti/n]--p. 1040, b. 6; Alexander says _ad

loc._: [Greek: ou)si/as e)kei=na/ phamen o(/sa kath' au(ta\ o)/nta

du/natai to\ oi)kei=on e)/rgon a)potelei=n; ou)si/a ga\r ou)de\n

a)/llo e)sti\n ê)\ to\ a)ph' ou(= to\ e(ka/stou e)/rgon

e)kplêrou=tai; ou)si/a ga\r kai\ ei)=dos Sôkra/tous ê( tou=

Sôkra/tous psuchê/, a)ph' ê(=s au)tô=| to\ tou= a)nthrô/pou ê(=|

a)/nthrôpos e)/rgon e)kplêrou=n]). When any one of them is separated,

it exists only in the character of Matter--earth, fire, air; none of

them, in this separate condition, being an unity, but only like a

heap of grains of gold or tin before they are melted and combined

into one. We might suppose, indeed, that the parts of the body, and

the parts of the soul, of animated beings, come near to Essence, both

one and the other, alike potentially and actually (b. 12), because

they have principles of motion in their turnings ([Greek: kampai=s]),

so that in some cases they continue separately alive after division.

Still the functions of the part alone must be really regarded as

nothing more than potential, wherever the oneness and continuity of

the whole is the work of Nature (b. 15), and not a mere case of

contact or forcible conjunction.

Nevertheless the being One, or Unity (p. 1040, b. 16), is not itself

the Essence of things. Unum is predicated in the same manner as Ens;

the two may always be predicated together: the Essence of Unum is

One; and things of which the Essence is Unum Numero, are themselves

numerically one. Neither Unum nor Ens is the Essence of things any

more than the being an Element, or the being a Principle, can be the

Essence thereof: we have farther to enquire what the Principle is, in

order to bring the problem into a more cognizable shape (b. 20). Unum

and Ens are more near to Essence than either Element, Principle, or

Cause; nevertheless neither Unum nor Ens is Essence; for nothing

which is common to many things is Essence. Essence belongs only to

itself and to that which has itself. Farther, Unum cannot be in many

places at once; but that which is common is in many places at once.

It is thus plain that nothing Universal exists apart or separate from

particulars (b. 27).

The advocates of the (Platonic) Ideas are right in affirming them to

be separate, if they be Essences; but they are wrong in calling that

which is predicable of many things (the Universal) an Idea (p. 1040,

b. 29). When asked, What are these indestructible Essences of which

you speak, as apart from the visible individual objects?--they had no

intelligible answer to give. Accordingly they were forced to make

these Essences the same specifically with the destructible

(individual) objects; for _these_ we do know (b. 33). They simply

prefixed the word [Greek: au)to/] to the names of sensible

objects--[Greek: au)toa/nthrôpos, au)toi+/ppos]. But these Ideas

might still exist, even though we knew not what they were; just as

eternal Essences like the stars would still exist, even though we

had never seen them (p. 1041, a. 2).

Let us again examine what we call Essence, and what sort of thing it

is; and let us take another point of departure, which may perhaps

help us to understand what that Essence is which is apart and

separate from perceivable Essences (p. 1041, a. 9). We know that

Essence is a certain variety of Principle or Cause; and from this

premiss we will reason (a. 10). Now the enquiry into Cause, or the

Why, always comes in this shape: Why does one thing belong to

another? The enquiry, Why a thing is itself? is idle. The fact--the

[Greek: o(/ti]--must be assumed to be clear and known in the first

instance. You know that the moon is eclipsed, as matter of fact; you

proceed to enquire into the cause thereof (a. 11-24). Why does it

thunder? or, to enunciate the same question more fully, Why is there

noise in the clouds? The _quæsitum_ is always one thing predicated of

another (a. 26). Why are these materials, bricks and stones, a house?

Here the answer sought is, the Cause; and that is the [Greek:

t.ê.e.], speaking in logical or analytical phraseology ([Greek:

_logikô=s_]--_i.e._, that which belongs to the [Greek: _lo/gos_ tê=s

ou)si/as]). In some cases, this _quæsitum_ is a Final Cause, as in

the case of a bed or a house; in others, an Efficient or Movent

Cause; for that also is a variety of Cause, generally sought for in

regard to things generated or destroyed; but the other (viz., [Greek:

to\ t.ê.e.], "ipsa rei forma ac notio, aut concepta in animo

artificis, aut inclusa [Greek: duna/mei] in ipsâ naturâ ac semine

rei"--Bonitz, Comm. p. 359) is sought for in regard to [Greek:

ei)=nai].

The true nature of the _quæsitum_ is often unperceived, when the

problem is announced without stating distinctly the subject and

predicate in their mutual relations ([Greek: e)n toi=s mê\

katallê/lôs legome/nois], p. 1041, a. 33). For example, [Greek:

a)/nthrôpos dia\ ti/ e)stin?] is ambiguous by imperfect enunciation.

As it stands, it might be supposed to be intended as [Greek:

a)/nthrôpos dia\ ti/ e)stin a)/nthrôpos?] which would be a question

idle or null. To make it clear, you ought to distinguish the two

members to which the real _quæsitum_ refers (b. 2), and say [Greek:

dia\ ti/ ta/de ê)\ to/de e)sti\n a)/nthrôpos?] your real enquiry is

about the [Greek: u(/lê] or Matter, why it exists in this or that

manner. Why are these materials a house? Because the Essence of a

house belongs to them (b. 6). Some [Greek: t.ê.e.], some sort of

[Greek: ei)=nai], must belong to the Matter (b. 4). Why is this

Matter a man? or why is the body disposed in this particular way a

man? Here we enquire as to the Cause which acts upon a certain

Matter; and that is the Form whereby the thing is; which again is the

Essence (b. 8).

Hence it is plain that a distinction must be taken between the Simple

and the Compound. The enquiry above described, and the teaching above

described, cannot apply to the Simple, which must be investigated in

another way (p. 1041, b. 9). Compounds are of two sorts--aggregates

like a _heap_ (mechanical), and aggregates like a _syllable_ (organic

or formal). In these last there are not merely the constituent

elements, but something else besides (b. 16). The syllable _ba_ is

something more than the letters _b_ and _a_; flesh is something more

than fire and earth, its constituent elements. Now this _something

more_ cannot be itself a constituent element; for, if that were so,

flesh would be composed of three constituent elements instead of two,

and we should still have to search for the _something beyond_, and

this ulterior process might be repeated _ad infinitum_ (b. 22). Nor

can the _something beyond_ be itself a compound of several elements,

for we should still have to find the independent something which

binds these into a compound. It is plain that this _something beyond_

must be in its nature quite distinct from an element, and must be the

cause why one compound is flesh, another compound a syllable, and so

about all the remaining compounds. Now this is the Essence of each

compound--the First Cause of existence to each (b. 25). The Element

([Greek: stoichei=on]) is that into which the compound is separated,

as included Matter ([Greek: e)nupa/rchon ô(s u(/lên]): _b_ and _a_,

in the syllable _ba_ (b. 32). There are some things which are not the

Essences of objects (white, for example, is not of the Essence of

man, but an attribute); but, in all cases where compounds have come

together according to Nature and by natural process, that Nature also

which is not Element but Principle is the Essence (b. 28: [Greek:

e)pei\ d' e)/nia ou)k ou)si/ai tô=n pragma/tôn, a)ll' o(/sai ou)si/ai

kata\ phu/sin kai\ phu/sei sunestê/kasi, phanei/ê a)\n kai\ au(/tê ê(

phu/sis ou)si/a, ê(/ e)stin ou) stoichei=on a)ll' a)rchê/.] Schwegler

in his note, p. 135, proposes to correct this passage by striking out

[Greek: kai/] before the words [Greek: au(tê\ ê( phu/sis ou)si/a].

But, if this were done, it would make the passage mean that [Greek:

u(/lê] or [Greek: stoichei=on] is not [Greek: ou)si/a], and that the

other [Greek: phu/sis] which is not [Greek: stoichei=on], is to be

regarded exclusively as [Greek: ou)si/a]. Now this is certainly not

the doctrine of Aristotle, who expressly declares [Greek: u(/lê] to

be [Greek: ou)si/a]; see H, p. 1042, a. 32. Retaining the [Greek:

kai/], the passage will then mean that not merely [Greek: u(/lê], but

_also_ [Greek: phu/sis] which is not [Greek: u(/lê], is [Greek:

ou)si/a]).

. . . . . .

Book [Greek: Ê].

In this Book, Aristotle begins by recapitulating the doctrines and

discussions of the preceding. His purpose had been declared to be the

investigation of the Causes, Principles, and Elements of Essences.

Now Essences are diverse: some universally admitted, as the natural

elements and simple bodies, also plants, animals, and the parts of

each, lastly, the heaven and the parts thereof; others not

universally admitted, but advocated by some philosophers, as the

Ideas and Mathematical Entia; others, again, which we arrive at by

dialectical discussion, as [Greek: to\ t.ê.e.], the Substratum

(Logical Entia--[Greek: e)k tô=n lo/gôn], p. 1042, a. 12), the Genus

more Essence than the Species, the Universal more Essence than

Particulars. The (Platonic) Ideas make a near approach to the Genus

and the Universal; they are vindicated as Essences upon similar

grounds. Next, since [Greek: to\ t.ê.e.] is Essence, and since the

Definition is the rational explanation of [Greek: t.ê.e.], we found

it necessary to discuss Definition; and, since the Definition is a

sentence having parts, we were called upon to examine these parts,

and to explain what parts belonged both to Essence and to Definition.

We decided farther, after discussion, that the Universal and the

Genus were not Essence; the Platonic Ideas and the Mathematical Entia

we postponed for the moment, and we confined ourselves to the

perceivable Essences, recognized by all (a. 25).

Now all these perceivable Essentiæ include Matter. The

Substratum--Matter in one way--is Essence; while, in another way, the

Form and the [Greek: lo/gos] is Essence; and finally the Compound of

the two is Essence. Matter is Hoc Aliquid, not [Greek: e)nergei/a|]

but only [Greek: duna/mei]. Form is an Hoc Aliquid separable by reason

([Greek: tô=| lo/gô| chôristo/n], p. 1042, a. 29). The Compound of

the two, the complete Hoc Aliquid, is capable of existing separably,

in an absolute sense (which is true also of some Forms), and is

liable alone to generation and destruction (a. 30).

It is clear that Matter also, not less than Form, is Essence; for in

all changes from opposite to opposite, there is a certain substratum

to such changes. Thus, in changes of Place, there is a substratum

which is now here, presently there; in changes of Quantity, what is

now of such and such a size, is presently greater or less; in changes

of Quality, what is now healthy is presently sick; in changes of

Essence, what is now in course of generation is presently in course

of destruction, or what is now the substratum of some given Form (and

is thus Hoc Aliquid) is presently the substratum of Privation, and

thus no longer Hoc Aliquid. Among these four varieties of change

([Greek: kat' ou)si/an, kata\ poso/n, kata\ poio/n, kata\ to/pon])

the three last are consequent upon the first, but the first is not

consequent upon all the three last; for we cannot maintain that,

because a thing has Matter capable of local movement, it must

therefore have generable and destructible Matter (p. 1042, b. 6).

Having discussed the Essence of perceivable things so far forth as

_potential_, we now proceed to the same Essence so far forth as

_actual_ ([Greek: ê( duna/mei ou)si/a--ê( ô(s e)ne/rgeia ou)si/a tô=n

ai)sthêtô=n]--p. 1042, b. 10). What is this last? Demokritus

recognizes a primordial body one and the same as to Matter, but

having three differences--in figure, in position, in arrangement. But

it is plain that this enumeration is not sufficient and that there

are many other differences, to each of which corresponds a special

acceptation of [Greek: e)/sti] ([Greek: to\ e)/sti tosautachô=s

le/getai]--b. 26). Some differences depend upon the mode of putting

together constituent materials ([Greek: sunthe/sei tê=s u(/lês]--b.

16), as mixture, tying, gluing, pegging, &c.; some upon position, as

threshold, coping, &c.; some upon time; some upon place; some upon

affections of perceivable things, such as hardness, softness,

dryness, moisture, density, rarity, &c.; some upon combinations of

the foregoing; some again simply upon excess or defect in quantity.

To one or other of these, [Greek: e)/stin] has reference in each

particular case. We say--This _is_ a threshold, because it lies in a

particular manner: _Is_ (or _To be_--[Greek: to\ ei)=nai]) signifies

in this case that particular manner of lying. To be ice, is to have

become solidified in this particular manner (b. 28). We must

therefore look for the summa genera of the differences; in some cases

[Greek: to\ ei)=nai] will be defined by all these differences: thus

more or less dense, more or less rare, belong to the genus excess and

defect; differences of figure, smoothness, roughness, &c., belong to

the genus straight and curve; in other cases, to be, or not to be,

will depend upon mixture, as the genus (p. 1043, a. 1).

If then the Essence is the cause why each thing is what it is, we

must seek in these differences the cause why each thing is what it is

(p. 1043, a. 3). None of these differences indeed is itself

Essence,--not even when it is embodied or combined with Matter; but

it is in each the analogue of Essence, and must be employed in

defining, just as in real and true Essence we define by predicating

of Matter the Actuality or Formality ([Greek: ô(s e)n tai=s ou)si/ais

to\ tê=s u(/lês katêgorou/menon au)tê\ ê( e)ne/rgeia]--a. 6). Thus,

if we define a threshold, we say--a piece of wood or stone lying in

this particular way; if we define ice, we say--water frozen or

solidified in this particular way, &c. The Form or Actuality of one

Matter is different from that of another; so also is the rational

explanation or Definition; in some cases it is composition, in others

mixture, &c., and so forth. If any one defines a house by saying that

it is stone or brick, he indicates only the potential house, for these

are the Matter (a. 15); if he defines it--a vessel protecting bodies

or property, he then assigns the Actuality ([Greek: e)ne/rgeian]); if

he includes both of the above in his definition, he then gives the

third Essence completed out of the two together ([Greek: tê\n tri/tên

kai\ tê\n e)k tou/tôn ou)si/an]--a. 18). To define from the

differences, is to define from the side of the Actuality or Form; to

define from the included elements ([Greek: e)k tô=n e)nuparcho/ntôn])

is to define from the side of the Matter (a. 20).

We see herefrom what perceivable Essence is, and how it is: partly,

of the nature of Matter; partly, of Form and Actuality or Energy:

again, the third or Concrete, out of both combined (p. 1043, a. 28).

Sometimes, it is not clear whether the name signifies this third

Concrete, or the Form and Energy. Thus, when you say a house, do you

mean a protective receptacle built of bricks? or do you mean simply a

protective receptacle--the Form simply, without specifying the

Matter? When you say a line, do you mean a dyad in length--Form in

Matter? or simply a dyad--Form alone? When you talk of an animal, do

you mean soul in body? or simply soul, which is the Essence and

Actuality of a certain body? The word animal may be applied to both,

not indeed univocally, as implying generic resemblance, but

(quasi-univocally, or semi-univocally) by analogical relationship to

a common term ([Greek: ou)ch ô(s e(ni\ lo/gô| lego/menon, a)ll' ô(s

pro\s e(\n]--a. 36). This distinction however, though important in

some respects, is unimportant so far as regards the investigation

about perceivable Essence; for the [Greek: t.ê.e.] belongs to the

Form and the Actuality (a. 38). Soul, and the being soul, are

identical; but man, and the being man, are not identical; unless the

soul be called man. Thus this identity exists in some cases, but not

in others (b. 4). A syllable is not composed merely of letters and

synthesis, nor is a house simply of bricks and synthesis; for the

synthesis or the mixture does not proceed out of the elements which

are put together or mixed (b. 8). The like is true in other cases;

_e.g._, if the threshold is a threshold by position, the position

does not proceed out of the threshold, but rather the threshold out

of the position. Nor again is man simply animal and biped. If these

two are the Matter, there must be something apart from and beyond

them, something not itself an element nor proceeding out of an

element--the Essence; which is indicated by abstracting from the

Matter (b. 13). This, as being the Cause of Existence and of Essence

([Greek: ai)/tion tou= ei)=nai kai\ tê=s ou)si/as]--b. 14) is what is

meant when Essence is spoken of.

This Essence or Form must be eternal; or at least, if destructible,

it has never been destroyed; if generable, it has never been

generated. For we have shown already that no one either constructs or

generates Form: the Hoc Aliquid is constructed; the product of Form

and Matter is generated (p. 1043, b. 18). As yet it has not been made

clear whether the Essences of destructible things are separable or

not: in some cases at least, they certainly are not--in those cases,

namely, where there can exist nothing beyond the particular things,

as a house or an implement (b. 21). Perhaps, indeed, these are not

truly Essences--neither these particular things nor any other things

which have come together not by natural process; for we might

indicate Nature alone as the Essence in destructible things ([Greek:

tê\n ga\r phu/sin mo/nên a)/n tis thei/ê tê\n e)n toi=s phthartoi=s

ou)si/an])--b. 23. Aristotle seems to say in what precedes, that

there is no [Greek: ge/nesis] or [Greek: phthora/] of [Greek:

ou)si/a]; see Z. p. 1033, b. 17. But how is this to be reconciled

with K. p. 1060, b. 18: [Greek: ou)si/as me\n ga\r pa/sês

ge/nesi/s e)stin, stigmê=s d' ou)k e)/stin]? See Schwegler's Comm.

explaining [Greek: gigno/menon] and [Greek: phtheiro/menon], Pt. II.

pp. 82, 83).

Hence we see that the difficulty started by Antisthenes and others

equally unschooled ([Greek: a)pai/deutoi]) is not without pertinence.

They say that, as a definition is a sentence of many words,

predicating something of something, so you cannot define _Quid est_:

you can only define and inform persons _Quale Quid est_: you can only

tell people what the definiend is like, not what it is in itself: you

can tell them that silver is like tin, but you cannot tell what

silver is. Upon this theory, definition may be given of Compound

Essence, whether perceivable or cogitable; but not of the _primordia_

of which the compound consists. The definition must predicate a

something, which is of the nature of Form, of another something,

which is of the nature of Matter (p. 1043, b. 31).

If Essences are (as the Platonists say) in a certain sense Numbers,

they are so in _this_ sense; not (as these philosophers affirm) in

the character of assemblages of Monads. For the definition is a sort

of number, divisible into indivisible units; and the number is so

likewise. If you add any thing to, or deduct any thing from, a number

(let the thing added or deducted be never so small), it will be no

longer the same number; in like manner, neither the definition nor

the [Greek: t.ê.e.], will be the same, if any thing be added or

subtracted (p. 1044, a. 1). Each number must have something which

makes its component units coalesce into one number, though the

Platonic philosophers cannot tell what that something is; either the

units are a mere (uncemented) heap, or else you must say what is that

something which makes them _one_ out of many (a. 5). The definition

also is one; yet these philosophers cannot explain what makes it one.

The units of the number and that of the definition, is to be

explained in the same way, and that of the Essence also; not as a

monad or a point, but in each case like an Entelechy and a peculiar

nature ([Greek: ou)ch, ô(s le/gousi/ tines, oi(=on mona/s tis ou)=sa

ê)\ stigmê/, a)ll' e)ntele/cheia kai\ phu/sis tis e(ka/stê]--a. 9). A

given number admits of no degrees, more or less: neither does a given

Essence, unless it be taken embodied in Matter (a. 10).

Respecting the Material Essence ([Greek: peri\ de\ tê=s u(likê=s

ou)si/as]--p. 1044, a. 15), we must not forget that, if there be one

and the same First Matter common as a principle to all Generata or

Fientia, there is nevertheless a certain Matter special or peculiar

(proximate) to each ([Greek: o(/môs e)/sti tis oi)kei/a

e(ka/stou]--a. 18; [Greek: oi)kei/a kai\ prosechê/s]--Alexander).

Thus the Materia Prima of phlegm is, sweet or fat things; that of bile

is, bitter things and such like. Perhaps these two come both from the

same Matter; and there are several different Matters of the same

product, in cases where one Matter proceeds from another. Thus phlegm

proceeds from fat and sweet, if fat proceeds from sweet; and even

from bile, if bile be analysed into its First Matter from whence

phlegm may proceed by a different road (a. 23). One thing may proceed

from another in two different ways: either D may proceed from C,

because C is its immediate Matter, already preformed up to a certain

point, and thus on the way to a perfectly formed state; or D may

proceed from C, after the destruction of C and the resolution of C

into its Materia Prima ([Greek: dichô=s ga\r to/d' e)k tou=de, ê)\

o(/ti pro\ o(dou= e)/stai ê)\ o(/ti a)naluthe/ntos ei)s tê\n

a)rchê/n]--a. 24). From one and the same Matter different products

may proceed, if the moving cause be different: from the same wood

there may proceed a box or a bed. What product shall emerge does not,

however, depend only upon the Moving Cause, but often upon the Matter

also; thus a saw cannot be made out of wool or wood. If the same

product can proceed out of different Matter, this is evidently

because the Art or Moving Cause is the same: if this last be

different, and the Matter different also, the product will of course

be different (p. 1044, a. 32).

When a man asks us, What is the Cause? we ought to reply, since the

word has many senses, by specifying all the causes which can have a

bearing on the case (p. 1044, a. 34). Thus, What is the Cause of man,

as Matter? Perhaps the katamenia. What, as Movent? Perhaps the seed.

What, as Form? The [Greek: t.ê.e.] What, as [Greek: ou(= e(/neka]?

The End. These two last are perhaps both the same (a. 36). Moreover

we ought to make answer by specifying the proximate causes (not the

remote and ultimate). Thus, What is the Matter of man? We must answer

by specifying the proximate matter; not fire and earth, the ultimate

and elemental (b. 2).

This is the only right way of proceeding in regard to Essences

natural and generable; since the Causes are many, and are what we

seek to know. But the case is different in regard to Essences

natural, yet eternal. Some of these last perhaps have no Matter at

all; or at least a different Matter, having no attribute except local

movability (b. 8. Alexander says in explanation: [Greek: le/gei de\

tê\n xu/mpasan tô=n o)ktô\ sphairô=n e(na/da--u(/lên ou) gennêtê\n

kai\ phthartê\n a)lla\ mo/non kata\ to/pon kinêtê/n]--p. 527, 20-25,

Bon.).

Again, in regard to circumstances which occur by Nature, but not in

the way of Essence, there is no Matter at all: the subject itself is

the Essence. Thus in regard to an eclipse: What is its Cause? What is

its Matter? There is no Matter, except the moon which is affected in

a certain way. What is the Cause, as Movent--here light-destroying?

The earth. Perhaps there is no [Greek: ou(= e(/neka] in the case. But

the Cause in the way of Form is the rational explanation or

definition; and this must include a specification of the Movent

Cause, otherwise it will be obscure. Thus, the eclipse is, privation

of light; and, when you add--by the earth intervening, you then

specify the Movent, and make your definition satisfactory (b. 15).

In defining sleep we ought to say what part of the system is first

affected thereby; but this is not clear. Shall we indicate only the

animal (as substratum)? But this is not enough. We shall be asked,

What part of the animal? Which part first? The heart, or what other

part? Next, by what Cause? Lastly, how is the heart affected, apart

from the rest of the system? To say--Sleep is a certain sort of

immobility, will not be a sufficient definition. We must specify from

what primary affection such immobility arises (p. 1044, b. 20).

Aristotle(#45851) · 第 30 / 33 章