CHAPTER VI. OF UNIVERSAL PROPOSITIONS: THEIR TRUTH AND CERTAINTY.

1. Treating of Words necessary to Knowledge.

THOUGH the examining and judging of ideas by themselves, their names

being quite laid aside, be the best and surest way to clear and distinct

knowledge: yet, through the prevailing custom of using sounds for ideas,

I think it is very seldom practised. Every one may observe how common it

is for names to be made use of, instead of the ideas themselves, even

when men think and reason within their own breasts; especially if the

ideas be very complex, and made up of a great collection of simple ones.

This makes the consideration of WORDS and PROPOSITIONS so necessary

a part of the Treatise of Knowledge, that it is very hard to speak

intelligibly of the one, without explaining the other.

2. General Truths hardly to be understood, but in verbal Propositions.

All the knowledge we have, being only of particular or general truths,

it is evident that whatever may be done in the former of these, the

latter, which is that which with reason is most sought after, can never

be well made known, and is very seldom apprehended, but as conceived

and expressed in words. It is not, therefore, out of our way, in the

examination of our knowledge, to inquire into the truth and certainty of

universal propositions.

3. Certainty twofold--of Truth and of Knowledge.

But that we may not be misled in this case by that which is the danger

everywhere, I mean by the doubtfulness of terms, it is fit to observe

that certainty is twofold: CERTAINTY OF TRUTH and CERTAINTY OF

KNOWLEDGE. Certainty of truth is, when words are so put together in

propositions as exactly to express the agreement or disagreement of the

ideas they stand for, as really it is. Certainty of knowledge is to

perceive the agreement or disagreement of ideas, as expressed in any

proposition. This we usually call knowing, or being certain of the truth

of any proposition.

4. No Proposition can be certainly known to be true, where the real

Essence of each Species mentioned is not known.

Now, because we cannot be certain of the truth of any general

proposition, unless we know the precise bounds and extent of the species

its terms stand for, it is necessary we should know the essence of each

species, which is that which constitutes and bounds it.

This, in all simple ideas and modes, is not hard to do. For in these

the real and nominal essence being the same, or, which is all one, the

abstract idea which the general term stands for being the sole essence

and boundary that is or can be supposed of the species, there can be no

doubt how far the species extends, or what things are comprehended under

each term; which, it is evident, are all that have an exact conformity

with the idea it stands for, and no other. But in substances, wherein

a real essence, distinct from the nominal, is supposed to constitute,

determine, and bound the species, the extent of the general word is very

uncertain; because, not knowing this real essence, we cannot know what

is, or what is not of that species; and, consequently, what may or may

not with certainty be affirmed of it. And thus, speaking of a MAN,

or GOLD, or any other species of natural substances, as supposed

constituted by a precise and real essence which nature regularly imparts

to every individual of that kind, whereby it is made to be of that

species, we cannot be certain of the truth of any affirmation or

negation made of it. For man or gold, taken in this sense, and used

for species of things constituted by real essences, different from the

complex idea in the mind of the speaker, stand for we know not what; and

the extent of these species, with such boundaries, are so unknown and

undetermined, that it is impossible with any certainty to affirm, that

all men are rational, or that all gold is yellow. But where the nominal

essence is kept to, as the boundary of each species, and men extend the

application of any general term no further than to the particular things

in which the complex idea it stands for is to be found, there they are

in no danger to mistake the bounds of each species, nor can be in doubt,

on this account, whether any proposition be true or not. I have chosen

to explain this uncertainty of propositions in this scholastic way, and

have made use of the terms of ESSENCES, and SPECIES, on purpose to show

the absurdity and inconvenience there is to think of them as of any

other sort of realities, than barely abstract ideas with names to them.

To suppose that the species of things are anything but the sorting of

them under general names, according as they agree to several abstract

ideas of which we make those names signs, is to confound truth, and

introduce uncertainty into all general propositions that can be made

about them. Though therefore these things might, to people not possessed

with scholastic learning, be treated of in a better and clearer way

yet those wrong notions of essences or species having got root in most

people's minds who have received any tincture from the learning which

has prevailed in this part of the world, are to be discovered and

removed, to make way for that use of words which should convey certainty

with it.

5. This more particularly concerns Substances.

The names of substances, then, whenever made to stand for species which

are supposed to be constituted by real essences which we know not, are

not capable to convey certainty to the understanding. Of the truth

general propositions made up of such terms we cannot be sure. [The

reason whereof is plain: for how can we be sure that this or that

quality is in gold, when we know not what is or is not gold? Since in

this way of speaking, nothing is gold but what partakes of an essence,

which we, not knowing, cannot know where it is or is not, and so cannot

be sure that any parcel of matter in the world is or is not in this

sense gold; being incurably ignorant whether IT has or has not that

which makes anything to be called gold; i. e. that real essence of gold

whereof we have no idea at all. This being as impossible for us to know

as it is for a blind man to tell in what flower the colour of a pansy is

or is not to be found, whilst he has no idea of the colour of a pansy at

all. Or if we could (which is impossible) certainly know where a real

essence, which we know not, is, v.g. in what parcels of matter the real

essence of gold is, yet could we not be sure that this or that quality

could with truth be affirmed of gold; since it is impossible for us to

know that this or that quality or idea has a necessary connexion with

a real essence of which we have no idea at all, whatever species that

supposed real essence may be imagined to constitute.]

6.

On the other side, the names of substances, when made use of as they

should be, for the ideas men have in their minds, though they carry a

clear and determinate signification with them, will not yet serve us to

make many universal propositions of whose truth we can be certain. Not

because in this use of them we are uncertain what things are signified

by them, but because the complex ideas they stand for are such

combinations of simple ones as carry not with them any discoverable

connexion or repugnancy, but with a very few other ideas.

7.

The complex ideas that our names of the species of substances properly

stand for, are collections of such qualities as have been observed to

co-exist in an unknown substratum, which we call substance; but what

other qualities necessarily co-exist with such combinations, we cannot

certainly know, unless we can discover their natural dependence; which,

in their primary qualities, we can go but a very little way in; and in

all their secondary qualities we can discover no connexion at all: for

the reasons mentioned, chap. iii. Viz. 1. Because we know not the

real constitutions of substances, on which each secondary quality

particularly depends. 2. Did we know that, it would serve us only for

experimental (not universal) knowledge; and reach with certainty no

further than that bare instance: because our understandings can

discover no conceivable connexion between any secondary quality and any

modification whatsoever of any of the primary ones. And therefore there

are very few general propositions to be made concerning substances,

which can carry with them undoubted certainty.

8. Instance in Gold.

'All gold is fixed,' is a proposition whose truth we cannot be certain

of, how universally soever it be believed. For if, according to the

useless imagination of the Schools, any one supposes the term gold to

stand for a species of things set out by nature, by a real essence

belonging to it, it is evident he knows not what particular substances

are of that species; and so cannot with certainty affirm anything

universally of gold. But if he makes gold stand for a species determined

by its nominal essence, let the nominal essence, for example, be the

complex idea of a body of a certain yellow colour, malleable, fusible,

and heavier than any other known;--in this proper use of the word gold,

there is no difficulty to know what is or is not gold. But yet no other

quality can with certainty be universally affirmed or denied of gold,

but what hath a DISCOVERABLE connexion or inconsistency with that

nominal essence. Fixedness, for example, having no necessary connexion

that we can discover, with the colour, weight, or any other simple

idea of our complex one, or with the whole combination together; it is

impossible that we should certainly know the truth of this proposition,

that all gold is fixed.

9. No discoverable necessary connexion between nominal essence gold, and

other simple ideas.

As there is no discoverable connexion between fixedness and the colour,

weight, and other simple ideas of that nominal essence of gold; so,

if we make our complex idea of gold, a body yellow, fusable, ductile,

weighty, and fixed, we shall be at the same uncertainty concerning

solubility in AQUA REGIA, and for the same reason. Since we can never,

from consideration of the ideas themselves, with certainty affirm or

deny of a body whose complex idea is made up of yellow, very weighty,

ductile, fusible, and fixed, that it is soluble in AQUA REGIA: and so

on of the rest of its qualities. I would gladly meet with one general

affirmation concerning any will, no doubt, be presently objected, Is not

this an universal proposition, ALL GOLD IS MALLEABLE? To which I answer,

It is a very complex idea the word gold stands for. But then here is

nothing affirmed of gold, but that that sound stands for an idea in

which malleableness is contained: and such a sort of truth and certainty

as this it is, to say a centaur is four-footed. But if malleableness make

not a part of the specific essence the name of gold stands for, it is

plain, ALL GOLD IS MALLEABLE, is not a certain proposition. Because,

let the complex idea of gold be made up of whichsoever of its other

qualities you please, malleableness will not appear to depend on that

complex idea, nor follow from any simple one contained in it: the

connexion that malleableness has (if it has any) with those other

qualities being only by the intervention of the real constitution of its

insensible parts; which, since we know not, it is impossible we should

perceive that connexion, unless we could discover that which ties them

together.

10. As far as any such Co-existence can be known, so far Universal

Propositions maybe certain. But this will go but a little way.

The more, indeed, of these co-existing qualities we unite into one

complex idea, under one name, the more precise and determinate we make

the signification of that word; but never yet make it thereby more

capable of universal certainty, IN RESPECT OF OTHER QUALITIES NOT

CONTAINED IN OUR COMPLEX IDEA: since we perceive not their connexion or

dependence on one another; being ignorant both of that real constitution

in which they are all founded, and also how they flow from it. For the

chief part of our knowledge concerning substances is not, as in other

things, barely of the relation of two ideas that may exist separately;

but is of the necessary connexion and co-existence of several distinct

ideas in the same subject, or of their repugnancy so to co-exist. Could

we begin at the other end, and discover what it was wherein that colour

consisted, what made a body lighter or heavier, what texture of parts

made it malleable, fusible, and fixed, and fit to be dissolved in this

sort of liquor, and not in another;--if, I say, we had such an idea

as this of bodies, and could perceive wherein all sensible qualities

originally consist, and how they are produced; we might frame such

abstract ideas of them as would furnish us with matter of more general

knowledge, and enable us to make universal propositions, that should

carry general truth and certainty with them. But whilst our complex

ideas of the sorts of substances are so remote from that internal real

constitution on which their sensible qualities depend, and are made up

of nothing but an imperfect collection of those apparent qualities our

senses can discover, there can be few general propositions concerning

substances of whose real truth we can be certainly assured; since there

are but few simple ideas of whose connexion and necessary co-existence

we can have certain and undoubted knowledge. I imagine, amongst all the

secondary qualities of substances, and the powers relating to them,

there cannot any two be named, whose necessary co-existence, or

repugnance to co-exist, can certainly be known; unless in those of the

same sense, which necessarily exclude one another, as I have elsewhere

showed. No one, I think, by the colour that is in any body, can

certainly know what smell, taste, sound, or tangible qualities it has,

nor what alterations it is capable to make or receive on or from other

bodies. The same may be said of the sound or taste, &c. Our specific

names of substances standing for any collections of such ideas, it

is not to be wondered that we can with them make very few general

propositions of undoubted real certainty. But yet so far as any complex

idea of any sort of substances contains in it any simple idea, whose

NECESSARY co-existence with any other MAY be discovered, so far

universal propositions may with certainty be made concerning it: v.g.

could any one discover a necessary connexion between malleableness and

the colour or weight of gold, or any other part of the complex idea

signified by that name, he might make a certain universal proposition

concerning gold in this respect; and the real truth of this proposition,

that ALL GOLD IS MALLIABLE, would be as certain as of this, THE THREE

ANGLES OF ALL RIGHT-LINED TRIANGLES ARE ALL EQUAL TO TWO RIGHT ONES.

11. The Qualities which make our complex Ideas of Substances depend

mostly on external, remote, and unperceived Causes.

Had we such ideas of substances as to know what real constitutions

produce those sensible qualities we find in them, and how those

qualities flowed from thence, we could, by the specific ideas of

their real essences in our own minds, more certainly find out their

properties, and discover what qualities they had or had not, than we can

now by our senses: and to know the properties of gold, it would be

no more necessary that gold should exist, and that we should make

experiments upon it, than it is necessary for the knowing the properties

of a triangle, that a triangle should exist in any matter, the idea in

our minds would serve for the one as well as the other. But we are so

far from being admitted into the secrets of nature, that we scarce so

much as ever approach the first entrance towards them. For we are wont

to consider the substances we meet with, each of them, as an entire

thing by itself, having all its qualities in itself, and independent of

other things; overlooking, for the most part, the operations of those

invisible fluids they are encompassed with, and upon whose motions and

operations depend the greatest part of those qualities which are taken

notice of in them, and are made by us the inherent marks of distinction

whereby we know and denominate them. Put a piece of gold anywhere by

itself, separate from the reach and influence of all other bodies,

it will immediately lose all its colour and weight, and perhaps

malleableness too; which, for aught I know, would be changed into a

perfect friability. Water, in which to us fluidity is an essential

quality, left to itself, would cease to be fluid. But if inanimate

bodies owe so much of their present state to other bodies without them,

that they would not be what they appear to us were those bodies that

environ them removed; it is yet more so in vegetables, which are

nourished, grow, and produce leaves, flowers, and seeds, in a constant

succession. And if we look a little nearer into the state of animals,

we shall find that their dependence, as to life, motion, and the

most considerable qualities to be observed in them, is so wholly on

extrinsical causes and qualities of other bodies that make no part of

them, that they cannot subsist a moment without them: though yet those

bodies on which they depend are little taken notice of, and make no part

of the complex ideas we frame of those animals. Take the air but for a

minute from the greatest part of living creatures, and they presently

lose sense, life, and motion. This the necessity of breathing has forced

into our knowledge. But how many other extrinsical and possibly very

remote bodies do the springs of these admirable machines depend on,

which are not vulgarly observed, or so much as thought on; and how many

are there which the severest inquiry can never discover? The inhabitants

of this spot of the universe, though removed so many millions of

miles from the sun, yet depend so much on the duly tempered motion of

particles coming from or agitated by it, that were this earth removed

but a small part of the distance out of its present situation, and

placed a little further or nearer that source of heat, it is more than

probable that the greatest part of the animals in it would immediately

perish: since we find them so often destroyed by an excess or defect of

the sun's warmth, which an accidental position in some parts of this our

little globe exposes them to. The qualities observed in a loadstone must

needs have their source far beyond the confines of that body; and the

ravage made often on several sorts of animals by invisible causes, the

certain death (as we are told) of some of them, by barely passing

the line, or, as it is certain of other, by being removed into a

neighbouring country; evidently show that the concurrence and operations

of several bodies, with which they are seldom thought to have anything

to do, is absolutely necessary to make them be what they appear to us,

and to preserve those qualities by which we know and distinguish them.

We are then quite out of the way, when we think that things contain

WITHIN THEMSELVES the qualities that appear to us in them; and we

in vain search for that constitution within the body of a fly or an

elephant, upon which depend those qualities and powers we observe in

them. For which, perhaps, to understand them aright, we ought to look

not only beyond this our earth and atmosphere, but even beyond the sun

or remotest star our eyes have yet discovered. For how much the being

and operation of particular substances in this our globe depends on

causes utterly beyond our view, is impossible for us to determine. We

see and perceive some of the motions and grosser operations of things

here about us; but whence the streams come that keep all these curious

machines in motion and repair, how conveyed and modified, is beyond our

notice and apprehension: and the great parts and wheels, as I may so

say, of this stupendous structure of the universe, may, for aught we

know, have such a connexion and dependence in their influences and

operations one upon another, that perhaps things in this our mansion

would put on quite another face, and cease to be what they are, if some

one of the stars or great bodies incomprehensibly remote from us,

should cease to be or move as it does. This is certain: things, however

absolute and entire they seem in themselves, are but retainers to other

parts of nature, for that which they are most taken notice of by us.

Their observable qualities, actions, and powers are owing to something

without them; and there is not so complete and perfect a part that we

know of nature, which does not owe the being it has, and the excellences

of it, to its neighbours; and we must not confine our thoughts within

the surface of any body, but look a great deal further, to comprehend

perfectly those qualities that are in it.

12. Our nominal essences of Substances furnish few universal

propositions about them that are certain.

If this be so, it is not to be wondered that we have very imperfect

ideas of substances, and that the real essences, on which depend their

properties and operations, are unknown to us. We cannot discover so much

as that size, figure, and texture of their minute and active parts,

which is really in much less the different motions and impulses made in

and upon them by bodies from without, upon which depends, and by which

is formed the greatest and most remarkable part of those qualities we

observe in them, and of which our complex ideas of them are made up.

This consideration alone is enough to put an end to all our hopes of

ever having the ideas of their real essences; which whilst we want, the

nominal essences we make use of instead of them will be able to

furnish us but very sparingly with any general knowledge, or universal

propositions capable of real certainty.

13. Judgment of Probability concerning Substances may reach further: but

that is not Knowledge.

We are not therefore to wonder, if certainty be to be found in very few

general propositions made concerning substances: our knowledge of their

qualities and properties goes very seldom further than our senses reach

and inform us. Possibly inquisitive and observing men may, by strength

of judgment, penetrate further, and, on probabilities taken from wary

observation, and hints well laid together, often guess right at what

experience has not yet discovered to them. But this is but guessing

still; it amounts only to opinion, and has not that certainty which is

requisite to knowledge. For all general knowledge lies only in our own

thoughts, and consists barely in the contemplation of our own abstract

ideas. Wherever we perceive any agreement or disagreement amongst them,

there we have general knowledge; and by putting the names of those ideas

together accordingly in propositions, can with certainty pronounce

general truths. But because the abstract ideas of substances, for

which their specific names stand, whenever they have any distinct

and determinate signification, have a discoverable connexion or

inconsistency with but a very few other ideas, the certainty of

universal propositions concerning substances is very narrow and scanty,

in that part which is our principal inquiry concerning them; and there

are scarce any of the names of substances, let the idea it is applied

to be what it will, of which we can generally, and with certainty,

pronounce, that it has or has not this or that other quality belonging

to it, and constantly co-existing or inconsistent with that idea,

wherever it is to be found.

14. What is requisite for our Knowledge of Substances.

Before we can have any tolerable knowledge of this kind, we must First

know what changes the primary qualities of one body do regularly produce

in the primary qualities of another, and how. Secondly, We must know

what primary qualities of any body produce certain sensations or ideas

in us. This is in truth no less than to know ALL the effects of matter,

under its divers modifications of bulk, figure, cohesion of parts,

motion and rest. Which, I think every body will allow, is utterly

impossible to be known by us without revelation. Nor if it were revealed

to us what sort of figure, bulk, and motion of corpuscles would produce

in us the sensation of a yellow colour, and what sort of figure, bulk,

and texture of parts in the superficies of any body were fit to give

such corpuscles their due motion to produce that colour; would that be

enough to make universal propositions with certainty, concerning the

several sorts of them; unless we had faculties acute enough to perceive

the precise bulk, figure, texture, and motion of bodies, in those minute

parts, by which they operate on our senses, so that we might by those

frame our abstract ideas of them. I have mentioned here only

corporeal substances, whose operations seem to lie more level to our

understandings. For as to the operations of spirits, both their thinking

and moving of bodies, we at first sight find ourselves at a loss; though

perhaps, when we have applied our thoughts a little nearer to the

consideration of bodies and their operations, and examined how far our

notions, even in these, reach with any clearness beyond sensible matter

of fact, we shall be bound to confess that, even in these too, our

discoveries amount to very little beyond perfect ignorance and

incapacity.

15. Whilst our complex Ideas of Substances contain not ideas of their

real Constitutions, we can make but few general Propositions concerning

them.

This is evident, the abstract complex ideas of substances, for which

their general names stand, not comprehending their real constitutions,

can afford us very little universal certainty. Because our ideas of them

are not made up of that on which those qualities we observe in them, and

would inform ourselves about, do depend, or with which they have any

certain connexion: v.g. let the ideas to which we give the name MAN be,

as it commonly is, a body of the ordinary shape, with sense, voluntary

motion, and reason joined to it. This being the abstract idea, and

consequently the essence of OUR species, man, we can make but very few

general certain propositions concerning man, standing for such an idea.

Because, not knowing the real constitution on which sensation, power of

motion, and reasoning, with that peculiar shape, depend, and whereby

they are united together in the same subject, there are very few other

qualities with which we can perceive them to have a necessary connexion:

and therefore we cannot with certainty affirm: That all men sleep by

intervals; That no man can be nourished by wood or stones; That all men

will be poisoned by hemlock: because these ideas have no connexion nor

repugnancy with this our nominal essence of man, with this abstract idea

that name stands for. We must, in these and the like, appeal to trial in

particular subjects, which can reach but a little way. We must content

ourselves with probability in the rest: but can have no general

certainty, whilst our specific idea of man contains not that real

constitution which is the root wherein all his inseparable qualities are

united, and from whence they flow. Whilst our idea the word MAN stands

for is only an imperfect collection of some sensible qualities and

powers in him, there is no discernible connexion or repugnance between

our specific idea, and the operation of either the parts of hemlock or

stones upon his constitution. There are animals that safely eat hemlock,

and others that are nourished by wood and stones: but as long as we want

ideas of those real constitutions of different sorts of animals whereon

these and the like qualities and powers depend, we must not hope to

reach certainty in universal propositions concerning them. Those few

ideas only which have a discernible connexion with our nominal essence,

or any part of it, can afford us such propositions. But these are so

few, and of so little moment, that we may justly look on our certain

general knowledge of substances as almost none at all.

16. Wherein lies the general Certainty of Propositions.

To conclude: general propositions, of what kind soever, are then only

capable of certainty, when the terms used in them stand for such ideas,

whose agreement or disagreement, as there expressed, is capable to be

discovered by us. And we are then certain of their truth or falsehood,

when we perceive the ideas the terms stand for to agree or not agree,

according as they are affirmed or denied one of another. Whence we may

take notice, that general certainty is never to be found but in

our ideas. Whenever we go to seek it elsewhere, in experiment or

observations without us, our knowledge goes not beyond particulars. It

is the contemplation of our own abstract ideas that alone is able to

afford us general knowledge.

An Essay Concerning Humane Understanding, Volume 2 MDCXC, Based on the 2nd Edition, Books 3 and 4 · 第 6 / 21 章