CHAPTER XXI

DIVISION AND CLASSIFICATION

Sec. 1. Classification, in its widest sense, is a mental grouping of facts

or phenomena according to their resemblances and differences, so as best

to serve some purpose. A "mental grouping": for although in museums we

often see the things themselves arranged in classes, yet such an

arrangement only contains specimens representing a classification. The

classification itself may extend to innumerable objects most of which

have never been seen at all. Extinct animals, for example, are

classified from what we know of their fossils; and some of the fossils

may be seen arranged in a museum; but the animals themselves have

disappeared for many ages.

Again, things are classed according to their resemblances and

differences: that is to say, those that most closely resemble one

another are classed together on that ground; and those that differ from

one another in important ways, are distributed into other classes. The

more the things differ, the wider apart are their classes both in

thought and in the arrangements of a museum. If their differences are

very great, as with animals, vegetables and minerals, the classing of

them falls to different departments of thought or science, and is often

represented in different museums, zoological, botanical, mineralogical.

We must not, however, suppose that there is only one way of classifying

things. The same objects may be classed in various ways according to

the purpose in view. For gardening, we are usually content to classify

plants into trees, shrubs, flowers, grasses and weeds; the ordinary

crops of English agriculture are distinguished, in settling their

rotation, into white and green; the botanist divides the higher plants

into gymnosperms and angiosperms, and the latter into monocotyledons and

dicotyledons. The principle of resemblance and difference is recognised

in all these cases; but what resemblances or differences are important

depends upon the purpose to be served.

Purposes are either ([alpha]) special or practical, as in gardening or

hunting, or ([beta]) general or scientific, as in Botany or Zoology. The

scientific purpose is merely knowledge; it may indeed subserve all

particular or practical ends, but has no other end than knowledge

directly in view. And whilst, even for knowledge, different

classifications may be suitable for different lines of inquiry, in

Botany and Zoology the Morphological Classification is that which gives

the most general and comprehensive knowledge (see Huxley, _On the

Classification of Animals_, ch. 1). Most of what a logician says about

classification is applicable to the practical kind; but the scientific

(often called 'Natural Classification'), as the most thorough and

comprehensive, is what he keeps most constantly before him.

Scientific classification comes late in human history, and at first

works over earlier classifications which have been made by the growth of

intelligence, of language, and of the practical arts. Even in the

distinctions recognised by animals, may be traced the grounds of

classification: a cat does not confound a dog with one of its own

species, nor water with milk, nor cabbage with fish. But it is in the

development of language that the progress of instinctive classification

may best be seen. The use of general names implies the recognition of

classes of things corresponding to them, which form their denotation,

and whose resembling qualities, so far as recognised, form their

connotation; and such names are of many degrees of generality. The use

of abstract names shows that the objects classed have also been

analysed, and that their resembling qualities have been recognised

amidst diverse groups of qualities.

Of the classes marked by popular language it is worth while to

distinguish two sorts (_cf._ chap. xix. Sec. 4): Kinds, and those having

but few points of agreement.

But the popular classifications, made by language and the primitive

arts, are very imperfect. They omit innumerable things which have not

been found useful or noxious, or have been inconspicuous, or have not

happened to occur in the region inhabited by those who speak a

particular language; and even things recognised and named may have been

very superficially examined, and therefore wrongly classed, as when a

whale or porpoise is called a fish, or a slowworm is confounded with

snakes. A scientific classification, on the other hand, aims at the

utmost comprehensiveness, ransacking the whole world from the depths of

the earth to the remotest star for new objects, and scrutinising

everything with the aid of crucible and dissecting knife, microscope and

spectroscope, to find the qualities and constitution of everything, in

order that it may be classed among those things with which it has most

in common and distinguished from those other things from which it

differs. A scientific classification continually grows more

comprehensive, more discriminative, more definitely and systematically

coherent. Hence the uses of classification may be easily perceived.

Sec. 2. The first use of classification is the better understanding of the

facts of Nature (or of any sphere of practice); for understanding

consists in perceiving and comprehending the likeness and difference of

things, in assimilating and distinguishing them; and, in carrying out

this process systematically, new correlations of properties are

continually disclosed. Thus classification is closely analogous to

explanation. Explanation has been shown (chap. xix. Sec. 5) to consist in

the discovery of the laws or causes of changes in Nature; and laws and

causes imply similarity, or like changes under like conditions: in the

same way classification consists in the discovery of resemblances in the

things that undergo change. We may say (subject to subsequent

qualifications) that Explanation deals with Nature in its dynamic,

Classification in its static aspect. In both cases we have a feeling of

relief. When the cause of any event is pointed out, or an object is

assigned its place in a system of classes, the gaping wonder, or

confusion, or perplexity, occasioned by an unintelligible thing, or by a

multitude of such things, is dissipated. Some people are more than

others susceptible of this pleasure and fastidious about its purity.

A second use of classification is to aid the memory. It strengthens

memory, because one of the conditions of our recollecting things is,

that they resemble what we last thought of; so that to be accustomed to

study and think of things in classes must greatly facilitate

recollection. But, besides this, a classification enables us easily to

run over all the contrasted and related things that we want to think of.

Explanation and classification both tend to rationalise the memory, and

to organise the mind in correspondence with Nature.

Every one knows how a poor mind is always repeating itself, going by

rote through the same train of words, ideas, actions; and that such a

mind is neither interesting nor practical. It is not practical, because

the circumstances of life are rarely exactly repeated, so that for a

present purpose it is rarely enough to remember only one former case; we

need several, that by comparing (perhaps automatically) their

resemblances and differences with the one before us, we may select a

course of action, or a principle, or a parallel, suited to our

immediate needs. Greater fertility and flexibility of thought seem

naturally to result from the practice of explanation and classification.

But it must be honestly added, that the result depends upon the spirit

in which such study is carried on; for if we are too fond of finality,

too eager to believe that we have already attained a greater precision

and comprehension than are in fact attainable, nothing can be more

petrific than 'science,' and our last state may be worse than the first.

Of this, students of Logic have often furnished examples.

Sec. 3. Classification may be either Deductive or Inductive; that is to

say, in the formation of classes, as in the proof of propositions, we

may, on the whole, proceed from the more to the less, or from the less

to the more general; not that these two processes are entirely

independent.

If we begin with some large class, such as 'Animal,' and subdivide it

deductively into Vertebrate and Invertebrate, yet the principle of

division (namely, central structure) has first been reached by a

comparison of examples and by generalisation; if, on the other hand,

beginning with individuals, we group them inductively into classes, and

these again into wider ones (as dogs, rats, horses, whales and monkeys

into mammalia) we are guided both in special cases by hypotheses as to

the best grounds of resemblance, and throughout by the general principle

of classification--to associate things that are alike and to separate

things that are unlike. This principle holds implicitly a place in

classification similar to that of causation in explanation; both are

principles of intelligence. Here, then, as in proof, induction is

implied in deduction, and deduction in induction. Still, the two modes

of procedure may be usefully distinguished: in deduction, we proceed

from the idea of a whole to its parts, from general to special; in

induction, from special (or particular) to general, from parts to the

idea of a whole.

Sec. 4. The process of Deductive Classification, or Formal Division, may be

represented thus:

A

|

-------------------

| |

A B A b

| |

---------- ----------

| | | |

A B C A B c A b C A b c

Given any class (A) to be divided:

1. Select one important character, attribute, or quality (B), not common

to all the individuals comprehended in the class, as the basis of

division (_fundamentum divisionis_).

2. Proceed by Dichotomy; that is, cut the given class into two, one

having the selected attribute (say, B), the other not having it (b).

This, like all formal processes, assumes the principles of Contradiction

and Excluded Middle, that 'No A is both B and not-B,' and that 'Every A

is either B or not-B' (chap. vi. Sec. 3); and if these principles are not

true, or not applicable, the method fails.

When a class is thus subdivided, it may be called, in relation to its

subclasses, a Genus; and in relation to it, the subclasses may be called

Species: thus--genus A, species AB and Ab, etc.

3. Proceed gradually in the order of the importance of characters; that

is, having divided the given class, subdivide on the same principle the

two classes thence arising; and so again and again, step by step, until

all the characters are exhausted: _Divisio ne fiat per saltum_.

Suppose we were to attempt an exhaustive classification of things by

this method, we must begin with 'All Things,' and divide them (say) into

phenomenal and not-phenomenal, and then subdivide phenomena, and so on,

thus:

All Things

|

------------------

| |

Phenomenal Not-phenomenal

|

--------------------

| |

Extended Unextended

| (e.g., Pleasure and Pain)

|

----------------

| |

Resistant Not-resistant

(Matter) (Space)

|

-------------------

| |

Gravitating Not-gravitating

|

-----------

| |

Simple Compound

Having subdivided 'Simple' by all possible characters, we must then go

back and similarly subdivide Not-phenomenal, Unextended, Not-resistant,

Not-gravitating, and Compound. Now, if we knew all possible characters,

and the order of their importance, we might prepare _a priori_ a

classification of all possible things; at least, of all things that come

under the principles of Contradiction and Excluded Middle. Many of our

compartments might contain nothing actual; there may, for example, be

nothing that is not phenomenal to some mind, or nothing that is extended

and not-resistant (no vacuum), and so forth. This would imply a breach

of the rule, that the dividing quality be not common to the whole class;

but, in fact, doubts have been, and are, seriously entertained whether

these compartments are filled or not. If they are not, we have concepts

representing nothing, which have been generated by the mere force of

grammatical negation, or by the habit of thinking according to the

principle of Excluded Middle; and, on the strength of these empty

concepts, we have been misled into dividing by an attribute, which

(being universal) cannot be a _fundamentum divisionis_. But though in

such a classification places might be empty, there would be a place for

everything; for whatever did not come into some positive class (such as

Gravitating) must fall under one of the negative classes (the 'Nots')

that run down the right-hand side of the Table and of its subdivisions.

This is the ideal of classification. Unfortunately we have to learn what

characters or attributes are possible, by experience and comparison; we

are far from knowing them all: and we do not know the order of their

importance; nor are we even clear what 'important' means in this

context, whether 'widely prevalent,' or 'ancient,' or 'causally

influential,' or 'indicative of others.' Hence, in classifying actual

things, we must follow the inductive method of beginning with

particulars, and sorting them according to their likeness and difference

as discovered by investigation. The exceptional cases, in which

deduction is really useful, occur where certain limits to the number and

combination of qualities happen to be known, as they may be in human

institutions, or where there are mathematical conditions. Thus, we might

be able to classify orders of Architecture, or the classical metres and

stanzas of English poetry; though, in fact, these things are too free,

subtle and complex for deductive treatment: for do not the Arts grow

like trees? The only sure cases are mathematical; as we may show that

there are possible only three kinds of plane triangles, four conic

sections, five regular solids.

Sec. 5. The rules for _testing_ a Division are as follows:

1. Each Sub-class, or Species, should comprise less than the Class, or

Genus, to be divided. This provides that the division shall be a real

one, and not based upon an attribute common to the whole class; that,

therefore, the first rule for making a division shall have been adhered

to. But, as in Sec. 4, we are here met by a logical difficulty. Suppose

that the class to be divided is A, and that we attempt to divide upon

the attribute B, into AB and Ab; is this a true division, if we do not

know any A that is not B? As far as our knowledge extends, we have not

divided A at all. On the other hand, our knowledge of concrete things is

never exhaustive; so that, although we know of no A that is not B, it

may yet exist, and we have seen that it is a logical caution not to

assume what we do not know. In a deductive classification, at least, it

seems better to regard every attribute as a possible ground of division.

Hence, in the above division of 'All Things,'--'Not-phenomenal,'

'Extended-Not-resistant,' 'Resistant-Not-gravitating,' appear as

negative classes (that is, classes based on the negation of an

attribute), although their real existence may be doubtful. But, if this

be justifiable, we must either rewrite the first test of a division

thus: 'Each sub-class should _possibly_ comprise less than the class to

be divided'; or else we must confine the test to (a) thoroughly

empirical divisions, as in dividing Colour into Red and Not-red, where

we know that both sub-classes are real; and (b) divisions under

demonstrable conditions--as in dividing the three kinds of triangles by

the quality equilateral, we know that it is only applicable to

acute-angled triangles, and do not attempt to divide the right-angled or

obtuse-angled by it.

2. The Sub-classes taken together should be equal to the Class to be

divided: the sum of the Species constitutes the Genus. This provides

that the division shall be exhaustive; which dichotomy always secures,

according to the principle of Excluded Middle; because whatever is not

in the positive class, must be in the negative: Red and Not-red include

all colours.

3. The Sub-classes must be opposed or mutually exclusive: Species must

not overlap. This again is secured by dichotomy, according to the

principle of Contradiction, provided the division be made upon one

attribute at a time. But, if we attempt to divide simultaneously upon

two attributes, as 'Musicians' upon 'nationality' and 'method,' we get

what is called a Cross-division, thus 'German Musicians.' 'Not-German,'

'Classical,' 'Not-Classical;' for these classes may overlap, the same

men sometimes appearing in two groups--Bach in 'German' and 'Classical,'

Pergolesi in 'Not-German' and 'Classical.' If, however, we divide

Musicians upon these attributes successively, cross division will be

avoided, thus:

Musicians

|

------------------------

| |

Classical Not-classical

| |

------------ ------------

| | | |

German Not-German German Not-German

Here no Musician will be found in two classes, _unless_ he has written

works in two styles, _or unless_ there are works whose style is

undecided. This "unless--or unless" may suggest caution in using

dichotomy as a short cut to the classification of realities.

4. No Sub-class must include anything that is not comprised in the class

to be divided: the Genus comprises all the Species. We must not divide

Dogs into fox-terriers and dog-fish.

Sec. 6. The process of Inductive Classification may be represented thus:

Given any multitude of individuals to be classified:

(1) Place together in groups (or in thought) those things that have in

common the most, the most widely diffused and the most important

qualities.

(2) Connect those groups which have, as groups, the greater resemblance,

and separate those that have the greater difference.

(3) Demarcate, as forming higher or more general classes, those groups

of groups that have important characters in common; and, if possible, on

the same principle, form these higher classes into classes higher still:

that is to say, graduate the classification upwards.

Whilst in Division the terms 'Genus' and 'Species' are entirely relative

to one another and have no fixed positions in a gradation of classes, it

has been usual, in Inductive Classification, to confine the term

'Species' to classes regarded as lowest in the scale, to give the term

'Genera' to classes on the step above, and at each higher step to find

some new term such as 'Tribe,' 'Order,' 'Sub-kingdom,' 'Kingdom'; as may

be seen by turning to any book on Botany or Zoology. If, having fixed

our Species, we find them subdivisible, it is usual to call the

Sub-species 'Varieties.'

Suppose an attempt to classify by this method the objects in a

sitting-room. We see at a glance carpets, mats, curtains, grates,

fire-irons, coal-scuttles, chairs, sofas, tables, books, pictures,

musical instruments, etc. These may be called 'Species.' Carpets and

mats go together; so do chairs and sofas; so do grates, fire-irons, and

coal-scuttles and so on. These greater groups, or higher classes, are

'Genera.' Putting together carpets, mats and curtains as

'warmth-fabrics'; chairs, sofas and tables as 'supports'; books,

pictures and musical instruments as 'means of culture'; these groups we

may call Orders. Sum up the whole as, from the housewife's point of

view, 'furniture.' If we then subdivide some of the species, as books

into poetry, novels, travels, etc., these Sub-species may be

considered 'Varieties.'

A Classification thus made, may be tested by the same rules as those

given for testing a Division; but if it does not stand the test, we must

not infer that the classification is a bad one. If the best possible, it

is good, though formally imperfect: whatever faults are found must then

be charged upon the 'matter,' which is traditionally perverse and

intractable. If, for example, there is a hammock in the room, it must be

classed not with the curtains as a warmth-fabric, but with the sofas as

a support; and books and pictures may be classed as, in a peculiar

sense, means of culture, though all the objects in the room may have

been modified and assorted with a view to gratifying and developing good

taste.

Sec. 7. The difficulty of classifying natural objects is very great. It is

not enough to consider their external appearance: exhaustive knowledge

of their internal structure is necessary, and of the functions of every

part of their structure. This is a matter of immense research, and has

occupied many of the greatest minds for very many years. The following

is a tabular outline of the classification of the

Animal Kingdom

|

-------------------

| |

SUB-KINGDOM, Vertebrates Invertebrates (10 Sub-kingdom 5)

or |

Phylum: |-------------------------------

| | |

| Sauropsida Ichthyopsida

| | |

| --------- -----------

| | | | |

CLASS: Mammalia Birds Reptiles Amphibia Fishes

|

-------------------------

| |

SUB-CLASS: Placental Implacental

| |

| -------------------

| | |

DIVISION: Monodelphia Didelphia Ornithodelphia

|

---------------------------------------

| | | | |

ORDER: Quadrumana Rodentia Carnivora Ungulata Caetacea, etc.

|

----------------------------------

| | |

SECTION: Pinnigrada Plantigrada Digitigrada

| | |

(Seals, etc.) (Bears, etc.) |

|

--------------------------------------

| | | | |

GENUS: Mustelidae Viverridae Hyaaenidae Canidae Felidae

| | |

(Weasels, etc.) (Civets, etc.) |

|

---------------------------------------

| | | | | |

SPECIES: Lion Tiger Leopard Puma Lynx Cat, etc.

|

---------------------

| | |

VARIETY: African Syrian Cave-lion (extinct)

As there is not space enough to tabulate such a classification in full,

I have developed at each step the most interesting groups: Vertebrates,

Mammalia, Monodelphia Carnivora, Digitigrada, Felidae, Lion. Most of the

other groups in each grade are also subdivisible, though some of them

contain far fewer sub-classes than others.

To see the true character of this classification, we must consider that

it is based chiefly upon knowledge of existing animals. Some extinct

animals, known by their fossils, find places in it; for others new

places have been made. But it represents, on the whole, a cross-section,

or cross-sections of Nature as developing in time; and, in order to give

a just view of the relations of animals, it must be seen in the light of

other considerations. The older systems of classification, and the rules

for making them, seem to have assumed that an actual system of classes,

or of what Mill calls 'Kinds,' exists in nature, and that the relations

of Kinds in this system are determined by quantity of resemblance in

co-inherent qualities, as the ground of their affinity.

Sec. 8. Darwin's doctrine of the origin of species affects the conception

of natural classification in several ways, (1) If all living things are

blood-relations, modified in the course of ages according to their

various conditions of life, 'affinity' must mean 'nearness of common

descent'; and it seems irrational to propose a classification upon any

other basis. We have to consider the Animal (or the Vegetable) Kingdom

as a family tree, exhibiting a long line of ancestors, and (descended

from them) all sorts of cousins, first, second, third, etc., perhaps

once, twice, or oftener 'removed.' Animals in the relation of first

cousins must be classed as nearer than second cousins, and so on.

But, if we accept this principle, and are able to trace relationship, it

may not lead to the same results as would be reached by simply relying

upon the present 'quantity of resemblance,' unless we understand this

in a very particular way. For the most obvious features of an animal may

have been recently acquired; which often happens with those characters

that adapt an animal to its habits of life, as the wings of a bat, or

the fish-like shape of a dolphin; or as in cases of 'mimicry.' Some

butterflies, snakes, etc., have grown to resemble closely, in a

superficial way, other butterflies and snakes, from which a stricter

investigation widely separates them; and this superficial resemblance is

probably a recent acquisition, for the sake of protection; the imitated

butterflies being nauseous, and the imitated snakes poisonous. On the

other hand, ancient and important traits of structure may, in some

species, have dwindled into inconspicuous survivals or be still found

only in the embryo; so that only great knowledge and sagacity can

identify them; yet upon ancient traits, though hidden, classification

depends. The seal seems nearer allied to the porpoise than to the tiger,

the shrew nearer to the mouse than to the hedgehog; and the Tasmanian

wolf looks more like a true wolf, the Tasmanian devil more like a

badger, than like a kangaroo: yet the seal is nearer akin to the tiger,

the shrew to the hedgehog, and the Tasmanian flesh-eaters are marsupial,

like the kangaroo. To overcome this difficulty we must understand the

resemblance upon which classification is based to include resemblance of

Causation, that is, the fact itself of descent from common ancestors.

For organic beings, all other rules of classification are subordinate to

one: trace the genealogy of every form.

By this rule we get a definite meaning for the phrase 'important or

fundamental attribute' as determining organic classes; namely, most

ancient, or 'best serving to indicate community of origin.' Grades of

classification will be determined by such fundamental characters, and

may correspond approximately to the more general types (now extinct)

from which existing animals have descended.

(2) By the hypothesis of development the fixity of species is

discredited. The lowest grade of a classification is made up not of

well-defined types unchanging from age to age, but of temporary species,

often connected by uncertain and indistinct varieties: some of which

may, in turn, if the conditions of their existence alter, undergo such

changes as to produce new species. Hence the notion that Kinds exist in

organic nature must be greatly modified. During a given period of a few

thousand years, Kinds may be recognised, because, under such conditions

as now prevail in the world, that period of time is insufficient to

bring about great changes. But, if it be true that lions, tigers, and

leopards have had a common ancestor, from whose type they have gradually

diverged, it is plain that their present distinctness results only from

the death of intermediate specimens and the destruction of intermediate

varieties. Were it possible to restore, by the evidence of fossils, all

the ranks of the great processions that have descended from the common

ancestor, there would nowhere occur a greater difference than between

offspring and parents; and the appearance of Kinds existing in nature,

which is so striking in a museum or zoological garden, would entirely

vanish.

A classification, then, as formerly observed, represents a cross-section

of nature as developing in time: could we begin at the beginning and

follow this development down the course of time, we should find no

classes, but an ever-moving, changing, spreading, branching continuum.

It may be represented thus: Suppose an animal (or plant) A, extending

over a certain geographical area, subject to different influences and

conditions of climate, food, hill and plain, wood and prairie, enemies

and rivals, and undergoing modifications here and there in adaptation to

the varying conditions of life: then varieties appear. These varieties,

diverging more and more, become distinct species (AB, AC, AD, AX). Some

of these species, the more widely diffused, again produce varieties;

which, in turn become species (ABE, ABF, ADG, ADH). From these, again,

ABE, ABFI, ABFJ, AC, ADHK, ADHL, ADHM, the extant species, descend.

A

/|\\_

/ | \ \__

/ | \ \_____

________/ | \__ \

/ | \ \

AB AC AD AX

/\ | /\

/ \ | / \

/ \ | / \

ABE ABF | ADG ADH

/ / \ | /|\

/ / \ | / | \

/ / \ | / | \

ABE ABFI ABFJ AC ADHK ADHL ADHM

If in this age a classifier appears, he finds seven living species,

which can be grouped into four genera (ABE, ABF, AC, ADH), and these

again into three Families (AB, AC, AD), all forming one Order. But the

animals which were their ancestors are all extinct. If the fossils of

any of them--say AB, ADG and AX--can be found, he has three more

species, one more genus (ADG), and one more family (AX). For AC, which

has persisted unchanged, and AX, which has become extinct, are both of

them Families, each represented by only one species. It seems necessary

to treat such ancient types as species on a level with extant forms; but

the naturalist draws our attention to their archaic characteristics, and

tries to explain their places in the order of evolution and their

relationships.

But now suppose that he could find a fossil specimen of every generation

(hundreds of thousands of generations), from ABFI, etc., up to A;

then, as each generation would only differ from the preceding as

offspring from parents, he would be unable at any point to distinguish a

species; at most, he would observe a slightly marked variety. ABFI and

ABFJ would grow more and more alike, until they became indistinguishable

in ABF; ABF and ABE would merge into AB; AB, AC, AD and AX would merge

into A. Hence, the appearance of species is due to our taking

cross-sections of time, or comparing forms that belong to periods remote

from one another (like AX, ADG, and ADHK, or AD, ADH and ADHK), and this

appearance of species depends upon the destruction of ancestral

intermediate forms.

(3) The hypothesis of development modifies the logical character of

classification: it no longer consists in a direct induction of

co-inherent characters, but is largely a deduction of these from the

characters of earlier forms, together with the conditions of variation;

in other words, the definition of a species must, with the progress of

science, cease to be a mere empirical law of co-inherence and become a

derivative law of Causation. But this was already implied in the

position that causation is the fundamental principle of the explanation

of concrete things; and accordingly, the derivative character of species

or kinds extends beyond organic nature.

Sec. 9. The classification of inorganic bodies also depends on causation.

There is the physical classification into Solids, Liquids, and Gases.

But these states of matter are dependent on temperature; at different

temperatures, the same body may exist in all three states. They cannot

therefore be defined as solid, liquid, or gaseous absolutely, but only

within certain degrees of temperature, and therefore as dependent upon

causation. Similarly, the geological classification of rocks, according

to relative antiquity (primary, secondary, tertiary, with their

subdivisions), and mode of formation (igneous and aqueous), rests upon

causation; and so does the chemical classification of compound bodies

according to the elements that enter into them in definite proportions.

Hence, only the classification of the elements themselves (amongst

concrete things), at present, depends largely upon empirical

Coinherence. If the elements remain irresolvable into anything simpler,

the definitions of the co-inherent characters that distinguish them must

be reckoned amongst the ultimate Uniformities of Nature. But if a

definite theory of their origin both generally and severally, whether

out of ether-vortices, or groups of electric corpuscles, or whatnot,

shall ever gain acceptance, similarity of genesis or causation will

naturally be the leading consideration in classifying the chemical

elements. To find common principles of causation, therefore, constitutes

the verification of every Natural Classification. The ultimate

explanation of nature is always causation; the Law of Causation is the

backbone of the system of Experience.

Logic: Deductive and Inductive · 第 21 / 24 章