This Fifth Book, on the subject of Polarities, is a short

one compared with most of the others. This arises in a great

measure from the circumstance that the Idea of Polarity has

only recently been apprehended and applied, with any great

degree of clearness, among physical philosophers; and is

even yet probably entertained in an obscure and ambiguous

manner by most experimental inquirers. I have been desirous

of not attempting to bring forward any doctrines upon the

subject, except such as have been fully illustrated and

exemplified by the acknowledged progress of the physical

sciences. If I had been willing to discuss the various

speculations which have been published respecting the

universal prevalence of Polarities in the universe, and

their results in every province of nature, I might easily

have presented this subject in a more extended form; but

this would not have been consistent with my plan of tracing

the influence of scientific Ideas only so far as they have

really aided in disclosing and developing scientific truths.

And as the influence of this Idea is clearly distinguishable

both from those which precede and those which follow, in the

character of the sciences to which it gives rise, and as it

appears likely to be hereafter of great extent and

consequence, it seemed better to treat of it in a separate

Book, although of a brevity disproportioned to the rest.

END OF VOL. I.

Cambridge: Printed at the University Press.

HISTORY

OF

SCIENTIFIC IDEAS.

VOLUME II.

Cambridge;

PRINTED BY C. J. CLAY, M.A.

AT THE UNIVERSITY PRESS.

HISTORY

OF

SCIENTIFIC IDEAS.

BY WILLIAM WHEWELL, D.D.,

MASTER OF TRINITY COLLEGE, CAMBRIDGE, AND

CORRESPONDING MEMBER OF THE INSTITUTE OF FRANCE.

BEING THE FIRST PART OF THE PHILOSOPHY

OF THE INDUCTIVE SCIENCES.

_THE THIRD EDITION._

IN TWO VOLUMES.

ΛΑΜΠΑΔIΑ ΕΧΟΝΤΕΣ ΔIΑΔΩΣΟΥΣIΝ ΑΛΛΗΛΟIΣ

VOLUME II.

LONDON:

JOHN W. PARKER AND SON, WEST STRAND.

1858.

CONTENTS

OF

THE SECOND VOLUME.

BOOK VI.

THE PHILOSOPHY OF CHEMISTRY.

PAGE

CHAP. I. ATTEMPTS TO CONCEIVE ELEMENTARY COMPOSITION 3

_Art._ 1. Fundamental Ideas of Chemistry.

2. Elements.

3. Do Compounds resemble their Elements?

4. The Three Principles.

5. A Modern Errour.

6. Are Compounds determined by the Figure of Elements?

7. Crystalline Form depends on Figure of Elements.

8. Are Compounds determined by Mechanical Attraction

of Elements?

9. Newton's followers.

10. Imperfection of their Hypotheses.

CHAP. II. ESTABLISHMENT AND DEVELOPMENT OF THE IDEA OF

CHEMICAL AFFINITY 15

_Art._ 1. Early Chemists.

2. Chemical Affinity.

3. Affinity or Attraction?

4. Affinity preferable.

5. Analysis is possible.

{vi}

6. Affinity is Elective.

7. Controversy on this.

8. Affinity is Definite.

9. Are these Principles necessarily true?

10. Composition determines Properties.

11. Comparison on this subject.

12. Composition determines Crystalline Form.

CHAP. III. OF THE IDEA OF SUBSTANCE 29

_Art._ 1. Indestructibility of Substance.

2. The Idea of Substance.

3. Locke's Denial of Substance.

4. Is all Substance heavy?

Note on Sir W. Hamilton's objections 37

CHAP. IV. APPLICATION OF THE IDEA OF SUBSTANCE IN CHEMISTRY 39

_Art._ 1. A Body is Equal to its Elements.

2. Lavoisier.

3. Are there Imponderable Elements?

4. Faraday's views.

5. Composition of Water.

6. Heat in Chemistry.

CHAP. V. THE ATOMIC THEORY 48

_Art._ 1. The Theory on Chemical Grounds.

2. Hypothesis of Atoms.

3. Its Chemical Difficulties.

4. Grounds of the Atomic Doctrine.

5. Ancient Atomists.

6. Francis Bacon.

7. Modern Atomists.

8. Arguments for and against.

9. Boscovich's Theory.

10. Molecular Hypothesis.

11. Poisson's Inference.

12. Wollaston's Argument.

13. Properties are Permanent.

{vii}

BOOK VII.

THE PHILOSOPHY OF MORPHOLOGY, INCLUDING CRYSTALLOGRAPHY.

CHAP. I. EXPLICATION OF THE IDEA OF SYMMETRY 67

_Art._ 1. Symmetry, what.

2. Kinds of Symmetry.

3. Examples in Nature.

4. Vegetables and Animals.

5. Symmetry a Fundamental Idea.

6. Result of Symmetry.

CHAP. II. APPLICATION OF THE IDEA OF SYMMETRY TO CRYSTALS 75

_Art._ 1. 'Fundamental Forms.'

2. Their use.

3. 'Systems of Crystallization.'

4. Cleavage.

5. Other Properties.

CHAP. III. SPECULATIONS FOUNDED UPON THE SYMMETRY OF CRYSTALS 80

_Art._ 1. Integrant Molecules.

2. Difficulties of the Theory.

3. Merit of the Theory.

4. Wollaston's Hypothesis.

5. Maxim for such Hypotheses.

6. Dalton's Hypothesis.

7. Ampère's Hypothesis.

8. Difficulty of such Hypotheses.

9. Isomorphism.

{viii}

BOOK VIII.

PHILOSOPHY OF THE CLASSIFICATORY SCIENCES.

CHAP. I. THE IDEA OF LIKENESS AS GOVERNING THE USE OF

COMMON NAMES 95

_Art._ 1. Object of the Chapter.

2. Unity of the Individual.

3. Condition of Unity.

4. Kinds.

5. Not made by Definitions.

6. Condition of the Use of Terms.

7. Terms may have different Uses.

8. Gradation of Kinds.

9. Characters of Kinds.

10. Difficulty of Definitions.

11. 'The Five Words.'

CHAP. II. THE METHODS OF NATURAL HISTORY, AS REGULATED

BY THE IDEA OF LIKENESS 108

_Sect._ I. _Natural History in General._

_Art._ 1. Idea of Likeness in Natural History.

2. Condition of its Use.

_Sect._ II. _Terminology._

_Art._ 3. Meaning of the word.

_Sect._ III. _The Plan of the System._

_Art._ 4. Its Meaning.

5. Latent Reference to Natural Affinity.

6. Natural Classes.

7. Artificial Classes.

8. Are Genera Natural?

9. Natural History and Mathematics.

10. Natural Groups given by Type, not by Definition.

11. Physiography.

12. Artificial and Natural Systems.

{ix}

_Sect._ IV. _Methods of framing Natural Systems._

_Art._ 13. Method of Blind Trial.

14. Method of General Comparison.

_Sect._ V. _Gradation of Groups._

_Art._ 15. Series of Subdivisions.

16. What is a Species?

17. The _words_ 'Species' and 'Genus.'

18. Varieties. Races.

_Sect._ VI. _Nomenclature._

_Art._ 19. Binary Nomenclature.

_Sect._ VII. _Diagnosis._

_Art._ 20. Characteristick and Systematick.

CHAP. III. APPLICATION OF THE NATURAL HISTORY METHOD

TO MINERALOGY 138

_Art._ 1. Mohs's System.

2. His 'Characteristick.'

3. Mineral _Species_ not yet well fixed.

4. _Orders_ of Minerals.

5. Nomenclature of Minerals.

6. M. Necker's 'Règne Mineral.'

7. Inconvenience of taking a Chemical Basis of

Mineral Systems.

8. Relation of Natural History and Chemistry.

9. What is a Mineralogical Individual?

10. A well-formed Crystal is an Individual.

11. Not the Integrant Molecules,

12. Nor the Cleavage Forms.

13. Compound Crystals are not Individuals.

14. Crystalline Forms are sufficiently complete for

this.

15. Including aggregate Masses.

16. Do Artificial Crystals belong to Mineralogy?

17. The Mineralogical Individual extends as far as

the same Crystalline Axes extend.

18. Artificial Crystals do belong to Mineralogy:

{x}

19. Cannot be excluded.

20. Species to be determined by the Crystalline Power.

21. Secondary Derivative Forms are Varieties:

22. Are not Species, as M. Necker holds.

CHAP. IV. OF THE IDEA OF NATURAL AFFINITY 159

_Art._ 1. The Idea of Affinity

2. Is not to be made out by Arbitrary Rules.

3. Functions of Living things are many,

4. But all lead to the same arrangement.

5. This is Cuvier's principle:

6. And Decandolle's.

7. Is this applicable to Inorganic Bodies?

8. Yes; by the agreement of Physical and

Chemical Arrangement.

BOOK IX.

THE PHILOSOPHY OF BIOLOGY.

CHAP. 1. ANALOGY OF BIOLOGY WITH OTHER SCIENCES. 169

_Art._ 1. Biology involves the Idea of Life.

2. This Idea to be historically traced.

3. The Idea at first expressed by means of other

Ideas.

4. Mystical, Mechanical, Chemical, and Vital

Fluid Hypotheses.

CHAP. II. SUCCESSIVE BIOLOGICAL HYPOTHESES 174

_Sect._ I. _The Mystical School._

_Sect._ II. _The Iatrochemical School._

_Sect._ III. _The Iatromathematical School._

_Sect._ IV. _The Vital Fluid School._

_Sect._ V. _The Psychical School._

{xi}

CHAP. III. ATTEMPTS TO ANALYSE THE IDEA OF LIFE 195

_Art._ 1. Definitions of Life,

2. By Stahl, Humboldt, Kant.

3. Definition of Organization by Kant.

4. Life is a System of Functions.

5. Bichat. _Sum_ of Functions.

6. Use of Definition.

7. Cuvier's view.

8. Classifications of Functions.

9. Vital, Natural, and Animal Functions.

10. Bichat. Organic and Animal Life.

11. Use of this Classification.

CHAP. IV. ATTEMPTS TO FORM IDEAS OF SEPARATE VITAL FORCES,

AND FIRST, OF ASSIMILATION AND SECRETION 203

_Sect._ I. _Course of Biological Research._

_Art._ 1. Observation and New Conceptions.

_Sect._ II. _Attempts to form a distinct Conception

of Assimilation and Secretion._

_Art._ 2. The Ancients.

3. Buffon. Interior Mould.

4. Defect of this view.

5. Cuvier. Life a Vortex.

6. Defect of this view.

7. Schelling. Matter and Form.

8. Life a constant Form of circulating Matter, &c.

_Sect._ III. _Attempts to conceive the Forces of

Assimilation and Secretion._

_Art._ 9. Assimilation is a Vital Force.

10. The name 'Assimilation.'

11. Several processes involved in Assimilation.

12. _Absorption_. Endosmose.

13. Absorption involves a Vital Force.

14. _Secretion_. Glands.

15. Motions of Vital Fluids.

{xii}

_Sect._ IV. _Attempts to conceive the Process of Generation._

_Art._ 16. 'Reproduction' figuratively used for Generation.

17. Nutrition different from

18. Generation.

19. Generations successively included.

20. Pre-existence of Germs.

21. Difficulty of this view.

22. Communication of Vital Forces.

23. Close similarity of Nutrition and Generation.

24. The Identity of the two Processes exemplified.

CHAP. V. ATTEMPTS TO FORM IDEAS OF SEPARATE VITAL

FORCES, _continued_.--VOLUNTARY MOTION. 222

_Art._ 1. Voluntary Motion one of the animal Functions.

2. Progressive knowledge of it.

3. Nervous Fluid not electric.

4. Irritability. Glisson.

5. Haller.

6. Contractility.

7. Organic Sensibility and Contractility not separable.

8. Improperly described by Bichat.

9. Brown.

10. Contractility a peculiar Power.

11. Cuvier's view.

12. Elementary contractile Action.

13. Strength of Muscular Fibre.

14. Sensations become Perceptions

15. By means of Ideas;

16. And lead to Muscular Actions.

17. Volition comes between Perception and Action.

18. Transition to Psychology,

19. A center is introduced.

20. The central consciousness may be obscure.

21. Reflex Muscular Action.

22. Instinct.

23. Difficulty of conceiving Instinct.

24. Instinct opposed to Insight.

{xiii}

CHAP. VI. OF THE IDEA OF FINAL CAUSES 239

_Art._ 1. Organization. Parts are Ends and Means.

2. Not merely mutually dependent.

3. Not merely mutually Cause and Effect.

4. Notion of _End_ not derived from Facts.

5. This notion has regulated Physiology.

6. Notion of Design comes from within.

7. Design not understood by Savages.

8. Design opposed to Morphology.

9. Impression of Design when fresh.

10. Acknowledgement of an End by adverse Physiologists.

11. This included in the Notion of Disease.

12. It belongs to organized Creatures only.

13. The term Final _Cause_.

14. Law and Design.

15. Final Causes and Morphology.

16. Expressions of physiological Ends.

17. The Conditions of Existence.

18. The asserted presumption of Teleology.

19. Final Causes in other subjects.

20. Transition to Palætiology.

BOOK X.

THE PHILOSOPHY OF PALÆTIOLOGY.

CHAP. I. OF PALÆTIOLOGICAL SCIENCES IN GENERAL. 257

_Art._ 1. Description of Palætiology.

2. Its Members.

3. Other Members.

4. Connexion of the whole subject.

5. We shall take Material Sciences only;

6. But these are connected with others.

CHAP. II. OF THE THREE MEMBERS OF A PALÆTIOLOGICAL SCIENCE 263

_Art._ 1. Divisions of such Sciences.

2. The Study of Causes.

3. Ætiology.

{xiv}

4. Phenomenology requires Classification. Phenomenal

Geology.

5. Phenomenal Uranology.

6. Phenomenal Geography of Plants and Animals.

7. Phenomenal Glossology.

8. The Study of Phenomena leads to Theory.

9. No sound Theory without Ætiology.

10. Causes in Palætiology.

11. Various kinds of Cause.

12. Hypothetical Order of Palætiological Causes.

13. Mode of Cultivating Ætiology:--In Geology:

14. In the Geography of Plants and Animals:

15. In Languages.

16. Construction of Theories.

17. No sound Palætiological Theory yet extant.

CHAP. III. OF THE DOCTRINE OF CATASTROPHES AND THE

DOCTRINE OF UNIFORMITY 284

_Art._ 1. Doctrine of Catastrophes.

2. Doctrine of Uniformity.

3. Is Uniformity probable _a priori_?

4. Cycle of Uniformity indefinite.

5. Uniformitarian Arguments are Negative only.

6. Uniformity in the Organic World.

7. Origin of the present Organic World.

8. Nebular Origin of the Solar System.

9. Origin of Languages.

10. No Natural Origin discoverable.

CHAP. IV. OF THE RELATION OF TRADITION TO PALÆTIOLOGY 297

_Art._ 1. Importance of Tradition.

2. Connexion of Tradition and Science.

3. Natural and Providential History of the World.

4. The Sacred Narrative.

5. Difficulties in interpreting the Sacred Narrative.

6. Such Difficulties inevitable.

7. Science tells us nothing concerning Creation.

{xv}

8. Scientific views, when familiar, do not disturb

the authority of Scripture.

9. When should Old Interpretations be given up?

10. In what Spirit should the Change be accepted?

11. In what Spirit should the Change be urged?

12. Duty of Mutual forbearance.

13. Case of Galileo.

CHAP. V. OF THE CONCEPTION OF A FIRST CAUSE 316

_Art._ 1. The Origin of things is not naturally discoverable;

2. Yet has always been sought after.

3. There must be a First Cause.

4. This is an Axiom.

5. Involved in the proof of a Deity.

6. The mind is not satisfied without it.

7. The Whole Course of Nature must have a Cause.

8. Necessary Existence of God.

9. Forms of the Proof.

10. Idea of a First Cause is Necessary.

11. Conception of a First Cause.

12. The First Cause in all Sciences is the same.

13. We are thus led to Moral Subjects.

Conclusion of this History.

{{1}}

BOOK VI.

THE

PHILOSOPHY

OF

CHEMISTRY.

A PHILOSOPHER was asked:--How much does smoke weigh? He

answered: Subtract from the weight of the fuel the weight of

the ashes, and thou hast the weight of the smoke. Thus he

assumed as incontrovertible that, even in the fire, the

Substance does not perish, only its Form undergoes a change.

In like manner the proposition, _Nothing can come of

Nothing_ was only another consequence of the Principle of

Permanence, or rather of the Principle of the Enduring

Existence of the same subject with different appearances.

Kant, _Kritik d. r. Vern._

{{3}}

BOOK VI.

THE PHILOSOPHY OF CHEMISTRY.

CHAPTER I.

ATTEMPTS TO CONCEIVE ELEMENTARY COMPOSITION.

1. WE have now to bring into view, if possible, the Ideas

and General Principles which are involved in Chemistry,--the

science of the composition of bodies. For in this as in

other parts of human knowledge, we shall find that there are

certain Ideas, deeply seated in the mind, though shaped and

unfolded by external observation, which are necessary

conditions of the existence of such a science. These Ideas

it is, which impel man to such a knowledge of the

Composition of bodies, which give _meaning_ to _facts_

exhibiting this composition, and _universality_ to _special_

truths discovered by experience. These are the Ideas of

_Element_ and of _Substance_.

Unlike the Idea of Polarity, of which we treated in the last

Book, these Ideas have been current in men's minds from very

early times, and formed the subject of some of the first

speculations of philosophers. It happened however, as might

have been expected, that in the first attempts they were not

clearly distinguished from other notions, and were

apprehended and applied in an obscure and confused manner.

We cannot better exhibit the peculiar character and meaning

of these Ideas than by tracing the form which they have

assumed {4} and the efficacy which they have exerted in

these successive essays. This, therefore, I shall endeavour

to do, beginning with the Idea of Element.

2. That bodies are composed or made up of certain parts,

elements, or principles, is a conception which has existed

in men's minds from the beginning of the first attempts at

speculative knowledge. The doctrine of the Four Elements,

Earth, Air, Fire and Water, of which all things in the

universe were supposed to be constituted, is one of the

earliest forms in which this conception was systematized;

and this doctrine is stated by various authors to have

existed as early as the times of the ancient Egyptians[1\6].

The words usually employed by Greek writers to express these

elements are ἀρχὴ a _principle_ or _beginning_, and

στοιχεῖον, which probably meant a _letter_ (of a word)

before it meant an _element_ of a compound. For the

resolution of a word into its letters is undoubtedly a

remarkable instance of a successful analysis performed at an

early stage of man's history; and might very naturally

supply a metaphor to denote the analysis of substances into

their intimate parts, when men began to contemplate such an

analysis as a subject of speculation. The Latin word

_elementum_ itself, though by its form it appears to be a

derivative abstract term, comes from some root now obsolete;

probably[2\6] from a word signifying _to grow_ or _spring up_.

[Note 1\6: Gilbert's _Phys._ 1. i. c. iii.]

[Note 2\6: Vossius _in voce_. "Conjecto esse ab antiqua voco

_eleo_ pro _oleo_, id est _cresco_: a qua signiflcatione

proles, _suboles_, _adolescens_: ut ab _juratum_,

_juramentum_; ab _adjutum_, _adjumentum_: sic ab _eletum_,

_elementum_: quia inde omnia crescunt ac nascuntur."]

The mode in which elements form the compound bodies and

determine their properties was at first, as might be

expected, vaguely and variously conceived. It will, I trust,

hereafter be made clear to the reader that the relation of

the elements to the compound involves a peculiar and

appropriate Fundamental Idea, not susceptible of being

correctly represented by any comparison or combination of

other ideas, and guiding us to clear and definite results

only when it is illustrated {5} and nourished by an abundant

supply of experimental facts. But at first the peculiar and

special notion which is required in a just conception of the

constitution of bodies was neither discerned nor suspected;

and up to a very late period in the history of chemistry,

men went on attempting to apprehend the constitution of

bodies more clearly by substituting for this obscure and

recondite idea of Elementary Composition, some other idea

more obvious, more luminous, and more familiar, such as the

ideas of Resemblance, Position, and mechanical Force. We

shall briefly speak of some of these attempts, and of the

errours which were thus introduced into speculations on the

relations of elements and compounds.

3. _Compounds assumed to resemble their Elements._--The

first notion was that compounds derive their qualities from

their elements by _resemblance_:--they are hot in virtue of

a hot element, heavy in virtue of a heavy element, and so

on. In this way the doctrine of the _four elements_ was

framed; for every body is either hot or cold, moist or dry;

and by combining these qualities in all possible ways, men

devised four elementary substances, as has been stated in

the History[3\6].

[Note 3\6: _Hist. Ind. Sc._ b. i. c. ii. sec. 2.]

This assumption of the derivation of the qualities of bodies

from similar qualities in the elements was, as we shall see,

altogether baseless and unphilosophical, yet it prevailed

long and universally. It was the foundation of medicine for

a long period, both in Europe and Asia; disorders being

divided into hot, cold, and the like; and remedies being

arranged according to similar distinctions. Many readers

will recollect, perhaps, the story[4\6] of the indignation

which the Persian physicians felt towards the European, when

he undertook to cure the ill effects of cucumber upon the

patient, by means of mercurial medicine: for cucumber, which

is cold, could not be counteracted, they maintained, by

mercury, which in their classification is cold also. Similar

views of the operation of medicines might {6} easily be

traced in our own country. A moment's reflection may

convince us that when drugs of any kind are subjected to the

chemistry of the human stomach and thus made to operate on

the human frame, it is utterly impossible to form the most

remote conjecture what the result will be, from any such

vague notions of their qualities as the common use of our

senses can give. And in like manner the common operations of

chemistry give rise, in almost every instance, to products

which bear no resemblance to the materials employed. The

results of the furnace, the alembic, the mixture, frequently

have no visible likeness to the ingredients operated upon.

Iron becomes steel by the addition of a little charcoal; but

what visible trace of the charcoal is presented by the metal

thus modified? The most beautiful colours are given to glass

and earthenware by minute portions of the ores of black or

dingy metals, as iron and manganese. The worker in metal,

the painter, the dyer, the vintner, the brewer, all the

artisans in short who deal with practical chemistry, are

able to teach the speculative chemist that it is an utter

mistake to expect that the qualities of the elements shall

be still discoverable, in an unaltered form, in the

compound. This first rude notion of an element, that it

determines the properties of bodies _by resemblance_, must

be utterly rejected and abandoned before we can make any

advance towards a true apprehension of the constitution of

bodies.

[Note 4\6: See _Hadji Baba_.]

4. This step accordingly was made, when the hypothesis of

the four elements was given up, and the doctrine of the

_three Principles_, Salt, Sulphur, and Mercury, was

substituted in its place. For in making this change, as I

have remarked in the History[5\6], the real advance was the

acknowledgment of the changes, produced by the chemist's

operations, as results to be accounted for by the union and

separation of substantial elements, however great the

changes, and however unlike the product might be to the

materials. And this step once made, chemists went on

constantly {7} advancing towards a truer view of the nature

of an element, and consequently, towards a more satisfactory

theory of chemical operations.

[Note 5\6: _Hist. Ind. Sc._ b. iv. c. 1.]

5. Yet we may, I think, note one instance, even in the works

of eminent modern chemists, in which this maxim, that we

have no right to expect any resemblance between the elements

and the compound, is lost sight of. I speak of certain

classifications of mineral substances. Berzelius, in his

System of Mineral Arrangement, places _sulphur_ next to the

_sulphurets_. But surely this is an errour, involving the

ancient assumption of the resemblance of elements and

compounds; as if we were to expect the sulphurets to bear a

resemblance to sulphur. All classifications are intended to

bring together things resembling each other: the sulphurets

of metals have certain general resemblances to each other

which make them a tolerably distinct, well determined, class

of bodies. But sulphur has no resemblances with these, and

no analogies with them, either in physical or even in

chemical properties. It is a simple body; and both its

resemblances and its analogies direct us to place it along

with other simple bodies, (selenium, and phosphorus,) which,

united with metals, produce compounds not very different

from the sulphurets. Sulphur cannot be, nor approach to

being, a sulphuret; we must not confound what it _is_ with

what it _makes_. Sulphur has its proper influence in

determining the properties of the compound into which it

enters; but it does not do this according to resemblance of

qualities, or according to any principle which properly

leads to propinquity in classification.

6. _Compounds assumed to be determined by the Figure of

Elements._--I pass over the fanciful modes of representing

chemical changes which were employed by the Alchemists; for

these strange inventions did little in leading men towards a

juster view of the relations of elements to compounds. I

proceed for an instant to the attempt to substitute another

obvious conception for the still obscure notion of

elementary composition. It was imagined that all the

properties of bodies and their mutual operations might be

{8} accounted for by supposing them constituted of

_particles_ of various _forms_, round or angular, pointed or

hooked, straight or spiral. This is a very ancient

hypothesis, and a favourite one with many casual speculators

in all ages. Thus Lucretius undertakes to explain why wine

passes rapidly through a sieve and oil slowly, by telling us

that the latter substance has its particles either larger

than those of the other, or more hooked and interwoven

together. And he accounts for the difference of sweet and

bitter by supposing the particles in the former case to be

round and smooth, in the latter sharp and jagged[6\6].

Similar assumptions prevailed in modern times on the revival

of the mechanical philosophy, and constitute a large part of

the physical schemes of Descartes and Gassendi. They were

also adopted to a considerable extent by the chemists. Acids

were without hesitation assumed to consist of sharp pointed

particles; which, 'I hope,' Lemery says[7\6], 'no one will

dispute, seeing every one's experience does demonstrate it:

he needs but taste an acid to be satisfied of it, for it

pricks the tongue like anything keen and finely cut.' Such

an assumption is not only altogether gratuitous and useless,

but appears to be founded in some degree upon a confusion in

the metaphorical and literal use of such words as _keen_ and

_sharp_. The assumption once made, it was easy to

accommodate it, in a manner equally arbitrary, to other

facts. 'A demonstrative and convincing proof that an acid

does consist of pointed parts is, that not only all acid

salts do crystallize into edges, but all dissolutions of

different things, caused by acid liquors, do assume this

figure in their crystallization. These crystals consist of

points differing both in length and bigness one from

another, and this diversity must be attributed to the keener

or blunter edges of the different sorts of acids: and so

likewise this difference of the points in subtilty is the

cause that one acid can penetrate and dissolve with one sort

of _mixt_, that another can't rarify at all: Thus _vinegar_

dissolves _lead_, {9} which _aqua fortis_ can't: _aqua

fortis_ dissolves _quicksilver_, which _vinegar_ will not

touch; _aqua regalis_ dissolves _gold_, whenas _aqua fortis_

cannot meddle with it; on the contrary, _aqua fortis_

dissolves _silver_, but can do nothing with gold, and so of

the rest.'

[Note 6\6: _De Rerum Natura_, ii. 390 sqq.]

[Note 7\6: _Chemistry_, p. 25.]

The leading fact of the vehement combination and complete

union of acid and alkali readily suggested a fit form for

the particles of the latter class of substances. 'This

effect,' Lemery adds, 'may make us reasonably conjecture

that an alkali is a terrestrious and solid matter whose

forms are figured after such a manner that the acid points

entering in do strike and divide whatever opposes their

motion.' And in a like spirit are the speculations in Dr.

Mead's _Mechanical Account of Poisons_ (1745). Thus he

explains the poisonous effect of _corrosive sublimate_ of

mercury by saying[8\6] that the particles of the salt are a

kind of lamellæ or blades to which the mercury gives an

additional weight. If resublimed with three-fourths the

quantity of mercury, it loses its corrosiveness, (becoming

_calomel_,) which arises from this, that in sublimation 'the

crystalline blades are divided every time more and more by

the force of the fire:' and 'the broken pieces of the

crystals uniting into little masses of differing figures

from their former make, those cutting points are now so much

smaller that they cannot make wounds deep enough to be

equally mischievous and deadly: and therefore do only

vellicate and twitch the sensible membranes of the stomach.'

[Note 8\6: P. 199.]

7. Among all this very fanciful and gratuitous assumption we

may notice one true principle clearly introduced, namely,

that the suppositions which we make respecting the forms of

the elementary particles of bodies and their mode of

combination must be such as to explain the facts of

crystallization, as well as of mere chemical change. This

principle we shall hereafter have occasion to insist upon

further.

I now proceed to consider a more refined form of assumption

respecting the constitution of bodies, yet {10} still one in

which a vain attempt is made to substitute for the peculiar

idea of chemical composition a more familiar mechanical

conception.

8. _Compounds assumed to be determined by the Mechanical

Attraction of the Elements._--When, in consequence of the

investigations and discoveries of Newton and his

predecessors, the conception of mechanical force had become

clear and familiar, so far as the action of external forces

upon a body was concerned, it was very natural that the

mathematicians who had pursued this train of speculation

should attempt to apply the same conception to that mutual

action of the internal parts of a body by which they are

held together. Newton himself had pointed the way to this

attempt. In the Preface to the _Principia_, after speaking

of what he has done in calculating the effects of forces

upon the planets, satellites, &e., he adds, 'Would it were

permitted us to deduce the other phenomena of nature from

mechanical principles by the same kind of reasoning. For

many things move me to suspect that all these phenomena

depend upon certain forces, by which the particles of

bodies, through causes not yet known, are either urged

towards each other, and cohere according to regular figures,

or are repelled and recede from each other; which forces

being unknown, philosophers have hitherto made their

attempts upon nature in vain.' The same thought is at a

later period followed out further in one of the Queries at

the end of the Opticks[9\6]. 'Have not the small particles

of bodies certain Powers, Virtues, or Forces, by which they

act at a distance, not only upon the rays of light for

reflecting, refracting and inflecting them, but also upon

one another for producing a great part of the phenomena of

nature?' And a little further on he proceeds to apply this

expressly to chemical changes. 'When Salt of Tartar runs

_per deliquium_ [or as we now express it, deliquesces] is

not this done by an _attraction_ between the particles of

the Salt of Tartar and the particles of the water which

float in the air in {11} the form of vapours? And why does

not common salt, or saltpetre, or vitriol, run _per

deliquium_, but for want of such an attraction? or why does

not Salt of Tartar draw more water out of the air than in a

certain proportion to its quantity, but for want of an

attractive force after it is saturated with water?' He goes

on to put a great number of similar cases, all tending to

the same point, that chemical combinations cannot be

conceived in any other way than as an attraction of

particles.

[Note 9\6: Query 31.]

9. Succeeding speculators in his school attempted to follow

out this view. Dr. Frend, of Christ Church, in 1710,

published his _Prælectiones Chymicæ, in quibus omne fere

Operationes Chymicæ ad vera Principia ex ipsius Naturæ

Legibus rediguntur. Oxonii habitæ_. This book is dedicated

to Newton, and in the dedication, the promise of advantage

to chemistry from the influence of the Newtonian discoveries

is spoken of somewhat largely,--much more largely, indeed,

than has yet been justified by the sequel. After declaring

in strong terms that the only prospect of improving science

consists in following the footsteps of Newton, the author

adds, 'That force of attraction, of which you first so

successfully traced the influence in the heavenly bodies,

operates in the most minute corpuscles, as you long ago

hinted in your _Principia_, and have lately plainly shown in

your _Opticks_; and this force we are only just beginning to

perceive and to study. Under these circumstances I have been

desirous of trying what is the result of this view in

chemistry.' The work opens formally enough, with a statement

of general mechanical principles, of which the most peculiar

are these:--'That there exists an attractive force by which

particles when at very small distances from each other, are

drawn together;--that this force is different, according to

the different figure and density of the particles;--that the

force may be greater on one side of a particle than on the

other;--that the force by which particles cohere together

arises from attraction, and is variously modified according

to the quantity of contacts.' But these principles are not

{12} applied in any definite manner to the explanation of

specific phenomena. He attempts, indeed, the question of

special solvents[10\6]. Why does _aqua fortis_ dissolve

silver and not gold, while _aqua regia_ dissolves gold and

not silver? which, he says, is the most difficult question

in chemistry, and which is certainly a fundamental question

in the formation of chemical theory. He solves it by certain

assumptions respecting the forces of attraction of the

particles, and also the diameter of the particles of the

acids and the pores of the metals, all which suppositions

are gratuitous.

[Note 10\6: P. 54.]

10. We may observe further, that by speaking, as I have

stated that he does, of the figure of particles, he mixes

together the assumption of the last section with the one

which we are considering in this. This combination is very

unphilosophical, or, to say the least, very insufficient,

since it makes a new hypothesis necessary. If a body be

composed of cubical particles, held together by their mutual

attraction, by what force are the parts of each cube held

together? In order to understand their structure, we are

obliged again to assume a cohesive force of the second

order, binding together the particles of each particle. And

therefore Newton himself says[11\6], very justly, 'The parts

of all homogeneal hard bodies which fully touch each other,

stick together very strongly: and for explaining how this

is, some have invented hooked atoms, _which is begging the

question_.' For (he means to imply,) how do the parts of the

hook stick together?

[Note 11\6: _Opticks_, p. 364.]

The same remark is applicable to all hypotheses in which

particles of a complex structure are assumed as the

constituents of bodies: for while we suppose bodies and

their known properties to result from the mutual actions of

these particles, we are compelled to suppose the parts of

each particle to be held together by forces still more

difficult to conceive, since they are disclosed only by the

properties of these particles, which as yet are unknown. Yet

Newton himself has not abstained from such hypotheses: thus

he says[12\6], 'A particle of {13} a salt may be compared to

a chaos, being dense, hard, dry, and earthy in the center,

and moist and watery in the circumference.'

[Note 12\6: _Opticks_, p. 362.]

Since Newton's time the use of the term _attraction_, as

expressing the cause of the union of the chemical elements

of bodies, has been familiarly continued; and has, no doubt,

been accompanied in the minds of many persons with an

obscure notion that chemical attraction is, in some way, a

kind of mechanical attraction of the particles of bodies.

Yet the doctrine that _chemical_ 'attraction' and

_mechanical_ attraction are forces of the same kind has

never, so far as I am aware, been worked out into a system

of chemical theory; nor even applied with any distinctness

as an explanation of any particular chemical phenomena. Any

such attempt, indeed, could only tend to bring more clearly

into view the entire inadequacy of such a mode of

explanation. For the leading phenomena of chemistry are all

of such a nature that no mechanical combination can serve to

express them, without an immense accumulation of additional

hypotheses. If we take as our problem the changes of colour,

transparency, texture, taste, odour, produced by small

changes in the ingredients, how can we expect to give a

mechanical account of these, till we can give a mechanical

account of colour, transparency, texture, taste, odour,

themselves? And if our mechanical hypothesis of the

elementary constitution of bodies does not explain _such_

phenomena as those changes, what can it explain, or what can

be the value of it? I do not here insist upon a remark which

will afterwards come before us, that even crystalline form,

a phenomenon of a far more obviously mechanical nature than

those just alluded to, has never yet been in any degree

explained by such assumptions as this, that bodies consist

of elementary particles exerting forces of the same nature

as the central forces which we contemplate in Mechanics.

When therefore Newton asks, 'When some stones, as spar of

lead, dissolved in proper menstruums, become salts, do not

these things show that salts are dry earth and watery acid

united by _attraction_?' we may {14} answer, that this mode

of expression appears to be intended to identify chemical

combination with mechanical attraction;--that there would be

no objection to any such identification, if we could, in

that way, explain, or even classify well, a collection of

chemical facts; but that this has never yet been done by the

help of such expressions. Till some advance of this kind can

be pointed out, we must necessarily consider the power which

produces chemical combination as a peculiar principle, a

special relation of the elements, not rightly expressed in

mechanical terms. And we now proceed to consider this

relation under the name by which it is most familiarly

known.

{{15}}

CHAPTER II.

ESTABLISHMENT AND DEVELOPMENT OF THE IDEA OF CHEMICAL

AFFINITY.

1. THE earlier chemists did not commonly involve themselves

in the confusion into which the mechanical philosophers ran,

of comparing chemical to mechanical forces. Their attention

was engaged, and their ideas were moulded, by their own

pursuits. They saw that the connexion of elements and

compounds with which they had to deal, was a peculiar

relation which must be studied directly; and which must be

understood, if understood at all, in itself, and not by

comparison with a different class of relations. At different

periods of the progress of chemistry, the conception of this

relation, still vague and obscure, was expressed in various

manners; and at last this conception was clothed in

tolerably consistent phraseology, and the principles which

it involved were, by the united force of thought and

experiment, brought into view.

2. The power by which the elements of bodies combine

chemically, being, as we have seen, a peculiar agency,

different from mere mechanical connexion or attraction, it

is desirable to have it designated by a distinct and

peculiar name; and the term _Affinity_ has been employed for

that purpose by most modern chemists. The word 'affinity' in

common language means, sometimes resemblance, and sometimes

relationship and ties of family. It is from the latter sense

that the metaphor is borrowed when we speak of 'chemical

affinity.' By the employment of this term we do not indicate

a resemblance, but a disposition to unite. Using the word in

a common unscientific manner, we might say that chlorine,

bromine, and iodine, have a great {16} _natural affinity_

with each other, for there are considerable resemblances and

analogies among them; but these bodies have very little

_chemical_ Affinity for each other. The use of the word in

the _former_ sense, of resemblance, can be traced in earlier

chemists; but the word does not appear to have acquired its

peculiar chemical meaning till after Boerhaave's time.

Boerhaave, however, is the writer in whom we first find a

due apprehension of the peculiarity and importance of the

Idea which it now expresses. When we make a chemical

solution[13\6], he says, not only are the particles of the

dissolved body separated from each other, but they are

closely united to the particles of the solvent. When _aqua

regia_ dissolves gold, do you not see, he says to his

hearers, that there must be between each particle of the

solvent and of the metal, a mutual virtue by which each

loves, unites with, and holds the other (_amat_, _unit_,

_retinet_)? The opinion previously prevalent had been that

the solvent merely separates the parts of the body

dissolved: and most philosophers had conceived this

separation as performed by mechanical operations of the

particles, resembling, for instance, the operation of wedges

breaking up a block of timber. But Boerhaave forcibly and

earnestly points out the insufficiency of the conception.

This, he says, does not account for what we see. We have not

only a separation, but a new combination. There is a force

by which the particles of the solvent associate to

themselves the parts dissolved, not a force by which they

repel and dissever them. We are here to imagine not

mechanical action, not violent impulse, not antipathy, but

love, at least if love be the desire of uniting. (Non igitur

hic etiam actiones mechanicæ, non propulsiones violentæ, non

inimicitiæ cogitandæ, sed amicitiæ, si amor dicendus copulæ

cupido.) The novelty of this view is evidenced by the mode

in which he apologizes for introducing it. 'Fateor, paradoxa

hæc assertio.' To Boerhaave, therefore, (especially

considering his great influence as a teacher of chemistry,)

we may {17} assign the merit of first diffusing a proper

view of Chemical Affinity as a peculiar force, the origin of

almost all chemical changes and operations.

[Note 13\6: _Elementa Chemiæ_, Lugd. Bat. 1732, p. 677.]

3. To Boerhaave is usually assigned also the credit of

introducing the _word_ 'Affinity' among chemists; but I do

not find that the word is often used by him in this sense;

perhaps not at all[14\6]. But however this may be, the term

is, on many accounts, well worthy to be preserved, as I

shall endeavour to show. Other terms were used in the same

sense during the early part of the eighteenth century. Thus

when Geoffroy, in 1718, laid before the Academy of Paris his

Tables of Affinities, which perhaps did more than any other

event to fix the Idea of Affinity, he termed them 'Tables of

the Relations of Bodies;' '_Tables des Rapports_:' speaking

however, also, of their 'disposition to unite,' and using

other phrases of the same import.

[Note 14\6: See Dumas, _Leçons de Phil. Chim._ p. 364. Rees'

_Cyclopædia_, Art. Chemistry. In the passage of Boerhaave to

which I refer above, _affinitas_ is rather opposed to, than

identified with, chemical combination. When, he says, the

parts of the body to be dissolved are dissevered by the

solvent, why do they remain united to the particles of the

solvent, and why do not rather both the particles of the

solvent and of the dissolved body collect into homogeneous

bodies by their _affinity_? 'denuo se affinitate suæ naturæ

colligant in corpora homogenea?' And the answer is, because

they possess another force which counteracts this affinity

of homogeneous particles, and makes compounds of different

elements. Affinity, in chemistry, now means the tendency of

_different_ kinds of matter to unite: but it appears, as I

have said, to have acquired this sense since Boerhaave's time.]

The term _attraction_, having been recommended by Newton as

a fit word to designate the force which produces chemical

combination, continued in great favour in England, where the

Newtonian philosophy was looked upon as applicable to every

branch of science. In France, on the contrary, where

Descartes still reigned triumphant, 'attraction,' the

watch-word of the enemy, was a sound never uttered but with

dislike and suspicion. In 1718 (in the notice of Geoffroy's

Table,) the Secretary of the Academy, after pointing out

some of the peculiar circumstances of chemical {18}

combinations, says, 'Sympathies and attractions would suit

well here, if there were such things,' 'Les sympathies, les

attractions conviendroient bien ici, si elles étaient

quelque chose.' And at a later period, in 1731, having to

write the _éloge_ of Geoffroy after his death, he says, 'He

gave, in 1718, a singular system, and a Table of

_Affinities_, or Relations of the different substances in

chemistry. These affinities gave an easiness to some

persons, who feared that they were _attractions in

disguise_, and all the more dangerous in consequence of the

seductive forms which clever people have contrived to give

them. It was found in the sequel that this scruple might be

got over.'

This is the earliest published instance, so far as I am

aware, in which the word 'Affinity' is distinctly used for

the cause of chemical composition; and taking into account

the circumstances, the word appears to have been adopted in

France in order to avoid the word _attraction_, which had

the taint of Newtonianism. Accordingly we find the word

_affinité_ employed in the works of French chemists from

this time. Thus, in the _Transactions of the French Academy_

for 1746, in a paper of Macquer's upon Arsenic, he

says[15\6], 'On peut facilement rendre raison de ces

phenomènes par le moyen des affinités que les différens

substances qui entrent dans ces combinaisons, ont les uns

avec les autres:' and he proceeds to explain the facts by

reference to Geoffroy's Table. And in Macquer's _Elements of

Chemistry_, which appeared a few years later, the 'Affinity

of Composition' is treated of as a leading part of the

subject, much in the same way as has been practised in such

books up to the present time. From this period, the word

appears to have become familiar to all European chemists in

the sense of which we are now speaking. Thus, in the year

1758, the Academy of Sciences at Rouen offered a prize for

the best dissertation on Affinity. The prize was shared

between M. Limbourg of Theux, near Liege, and M. Le Sage

{19} of Geneva[16\6]. About the same time other persons

(Manherr[17\6], Nicolai[18\6], and others) wrote on the same

subject, employing the same name.

[Note 15\6: _A. P._ 1746, p. 201.]

[Note 16\6: Thomson's _Chemistry_, iii. 10. Limbourg's

Dissertation was published at Liege, in 1761; and Le Sage's

at Geneva.]

[Note 17\6: _Dissertatio de Affinitate Corporum_. Vindob. 1762.]

[Note 18\6: _Progr._ I. II. _de Affinitate Corporum Chimica_.

Jen. 1775, 1776.]

Nevertheless, in 1775, the Swedish chemist Bergman, pursuing

still further this subject of Chemical Affinities, and the

expression of them by means of Tables, returned again to the

old Newtonian term; and designated the disposition of a body

to combine with one rather than another of two others as

_Elective Attraction_. And as his work on _Elective

Attractions_ had great circulation and great influence, this

phrase has obtained a footing by the side of _Affinity_, and

both one and the other are now in common use among chemists.

4. I have said above that the term _Affinity_ is worthy of

being retained as a technical term. If we use the word

_attraction_ in this case, we identify or compare chemical

with mechanical attraction; from which identification and

comparison, as I have already remarked, no one has yet been

able to extract the means of expressing any single

scientific truth. If such an identification or comparison be

not intended, the use of the same word in two different

senses can only lead to confusion; and the proper course,

recommended by all the best analogies of scientific history,

is to adopt a peculiar term for that peculiar relation on

which chemical composition depends. The word _Affinity_,

even if it were not rigorously proper according to its

common meaning, still, being simple, familiar, and well

established in this very usage, is much to be preferred

before any other.

But further, there are some analogies drawn from the common

meaning of this word, which appear to recommend it as

suitable for the office which it has to discharge. For

common mechanical attractions and {20} repulsions, the

forces by which one body considered as a _whole_ acts upon

another external to it, are, as we have said, to be

distinguished from those more intimate ties by which the

_parts_ of each body are held together. Now this difference

is implied, if we compare the former relations, the

attractions and repulsions, to alliances and wars between

States, and the latter, the internal union of particles, to

those bonds of affinity which connect the citizens of the

same state with one another, and especially to the ties of

Family. We have seen that Boerhaave compares the union of

two elements of a compound to their marriage; 'we must

allow,' says an eminent chemist of our own time[19\6], 'that

there is some truth in this poetical comparison.' It

contains this truth,--that the two become one to most

intents and purposes, and that the Unit thus formed (the

Family) is not a mere juxtaposition of the component parts.

And thus the Idea of Affinity as the peculiar principle of

chemical composition, is established among chemists, and

designated by a familiar and appropriate name.

[Note 19\6: Dumas, _Leçons de Phil. Chim._ p. 363.]

5. _Analysis is possible._--We must, however, endeavour to

obtain a further insight into this Idea, thus fixed and

named. We must endeavour to extricate, if not from the Idea

itself, from the processes by which it has obtained

acceptation and currency among chemists, some principles

which may define its application, some additional

specialities in the relations which it implies. This we

shall proceed to do.

The Idea of Affinity, as already explained, implies a

disposition to combine. But this combination is to be

understood as admitting also of a possibility of separation.

Synthesis implies Analysis as conceivable: or to recur to

the image which we have already used, Divorce is possible

when the Marriage has taken place.

That there is this possibility, is a conviction implied in

all the researches of chemists, ever since the true notion

of composition began to predominate in their investigations.

One of the first persons who clearly {21} expressed this

conviction was Mayow, an English physician, who published

his _Medico-Physical Tracts_ in 1674. The first of them _De

Sale-Nitro et Spiritu Nitro-Aerio_, contains a clear

enunciation of this principle. After showing how, in the

combinations of opposite elements, as acid and alkali, their

properties entirely disappear, and a new substance is formed

not at all resembling either of the ingredients, he

adds[20\6], 'Although these salts thus mixed appear to be

destroyed it is still possible for them to be separated from

each other, with their powers still entire.' He proceeds to

exemplify this, and illustrates it by the same image which I

have already alluded to: 'Salia acida a salibus

volatilibus discedunt, ut cum sale fixo tartari, tanquam

_sponso_ magis idoneo, _conjugium_ strictius ineunt.' This

idea of a synthesis which left a complete analysis still

possible, was opposed to a notion previously current, that

when two heterogeneous bodies united together and formed a

third body, the two constituents were entirely destroyed,

and the result formed out of their ruins[21\6]. And this

conception of Synthesis and Analysis, as processes which are

possible successively and alternately, and each of which

supposes the possibility of the other, has been the

fundamental and regulative principle of the operations and

speculations of analytical chemistry from the time of Mayow

to the present day.

[Note 20\6: Cap. xiv. p. 233.]

[Note 21\6: Thomson's _Chemistry_, iii. 8.]

6. _Affinity is Elective._--When the idea of chemical

affinity, or disposition to unite, was brought into view by

the experiments and reasonings of chemists, they found it

necessary to consider this disposition as _elective_;--each

element _chose_ one rather than another of the elements

which were presented to it, and quitted its union with one

to unite with another which it preferred. This has already

appeared in the passage just quoted from Mayow. He adds in

the same strain, 'I have no doubt that fixed salts choose

one acid rather than another, in order that they may

coalesce with it {22} in a more intimate union.'--'Nullus

dubito salia fixa acidum unum præ aliis _eligere_, ut cum

eodem arctiore unione coalescant.' The same thought is

expressed and exemplified by other chemists: they notice

innumerable cases in which, when an ingredient is combined

with a liquid, if a new substance be immersed which has a

greater affinity for the liquid, the liquid combines with

the new substance by election, and the former **ingredient

is _precipitated_. Thus Stahl says[22\6], 'In spirit of

nitre dissolve silver; put in copper and the silver is

thrown down; put in iron and the copper goes down; put in

zinc, the iron precipitates; put in volatile alkali, the

zinc is separated; put in fixed alkali, the volatile quits

its hold.'--As may be seen in this example, we have in such

cases, not only a preference, but a long gradation of

preferences. The spirit of nitre will combine with silver,

but it prefers copper; prefers iron more; zinc still more;

volatile alkali yet more; fixed alkali the most.

[Note 22\6: _Zymotechnia_, 1697, p. 117.]

The same thing was proved to obtain with regard to each

element; and when this was ascertained, it became the object

of chemists to express these degrees of preference, by lists

in which substances were arranged according to their

disposition to unite with another substance. In this manner

was formed Geoffroy's Table of Affinities (1718), which we

have already mentioned. This Table was further improved by

other writers, as Gellert (1751) and Limbourg (1761).

Finally Bergman improved these Tables still further, taking

into account not only the order of affinities of each

element for others, but the _sum_ of the tendencies to unite

of each two elements, which sum, he held, determined the

resulting combination when several elements were in contact

with each other.

7. As we have stated in the History[23\6], when the doctrine

of elective affinities had assumed this very definite and

systematic form, it was assailed by Berthollet, who

maintained, in his _Essai de Statique_ {23} _Chimique_,

(1803,) that chemical affinities are _not_ elective:--that,

when various elements are brought together, their

combinations do not depend upon the kind of elements alone,

but upon the quantity of each which is present, that which

is most abundant always entering most largely into the

resulting compounds. It may seem strange that it should be

possible, at so late a period of the science, to throw doubt

upon a doctrine which had presided over and directed its

progress so long. Proust answered Berthollet, and again

maintained that chemical affinity is elective. I have, in

the History, given the judgment of Berzelius upon this

controversy. 'Berthollet,' he says, 'defended himself with

an acuteness which makes the reader hesitate in his

judgment; but the great mass of facts finally decided the

point in favour of Proust.' I may here add the opinion

pronounced upon this subject by Dr. Turner[24\6]: 'Bergman

erred in supposing the result of the chemical action to be

in every case owing to elective affinity [for this power is

modified in its effects by various circumstances]: but

Berthollet ran into the opposite extreme in declaring that

the effects formerly ascribed to that power are never

produced by it. That chemical attraction is exerted between

different bodies with different degrees of energy, is, I

apprehend, indisputable.' And he then proceeds to give many

instances of differences in affinity which cannot be

accounted for by the operation of any modifying causes.

Still more recently, M. Dumas has taken a review of this

controversy; and, speaking with enthusiasm of the work of

Berthollet, as one which had been of inestimable service to

himself in his early study of chemistry, he appears at first

disposed to award to him the victory in this dispute. But

his final verdict leaves undamaged the general principle now

under our consideration, that chemical affinity is elective.

'For my own part,' he says[25\6], 'I willingly admit the

notions of Berthollet when we have to do with acids or {24}

with bases, of which the energy is nearly equal: but when

bodies endued with very energetic affinities are in presence

of other bodies of which the affinities are very feeble, I

propose to adopt the following rule: In a solution,

everything remaining dissolved, the strong affinities

satisfy themselves, leaving the weak affinities to arrange

matters with one another. The strong acids take the strong

bases, and the weak acids can only unite with the weak

bases. The known facts are perfectly in accordance with this

practical rule.' It is obvious that this recognition of a

distinction between strong and weak affinities, which

operates to such an extent as to determine entirely the

result, is a complete acknowledgement of the Elective nature

of Affinity, as far as any person acquainted with chemical

operations could contend for it. For it must be allowed by

all, that solubility, and other collateral circumstances,

influence the course of chemical combinations, since they

determine whether or not there shall take place that contact

of elements without which affinity cannot possibly operate.

[Note 23\6: _Hist. Ind. Sc._ b. xiv. c. iii.]

[Note 24\6: _Chemistry_, p. 199. 6th edition.]

[Note 25\6: _Leçons de Philosophie Chimique_, p. 386.]

8. _Affinity is Definite as to quantity._--In proportion as

chemists obtained a clearer view of the products of the

laboratory as results of the composition of elements, they

saw more and more clearly that these results were definite;

that one element not only preferred to combine with another

of a certain kind, but also would combine with it to a

certain extent and no further, thus giving to the result not

an accidental and variable, but a fixed and constant

character. Thus salts being considered as the result of the

combination of two opposite principles, acid and alkali, and

being termed _neutral_ when these principles exactly

balanced each other, Rouelle (who was Royal Professor at

Paris in 1742) admits of neutral salts with excess of acid,

neutral salts with excess of base, and perfect neutral

salts. Beaume maintained[26\6] against him that there were

no salts except those perfectly neutral, the other classes

being the results of mixture and imperfect {25} combination.

But this question was not adequately treated till chemists

made every experiment with the balance in their hands. When

this was done, they soon discovered that, in each neutral

salt, the proportional weights of the ingredients which

composed it were always the same. This was ascertained by

Wenzel, whose _Doctrine of the Affinities of Bodies_

appeared in 1777. He not only ascertained that the

proportions of elements in neutral chemical compounds are

definite, but also that they are reciprocal; that is, (to

express his results in a manner now employed by chemists),

that if A, a certain weight of a certain acid, neutralize

_m_, a certain weight of a certain base, and B, a certain

weight of a certain other acid, neutralize _n_, a certain

weight of a certain other base; the compound of A and _n_

will also be neutral; as also that of B and _m_. The same

views were again presented by Richter in 1792, in his

_Principles of the Measure of Chemical Elements_. And along

with these facts, that of the combination of elements in

multiple proportions being also taken into account, the

foundations of the Atomic Theory were laid; and that Theory

was propounded in 1803 by Mr. Dalton. That theory, however,

rests upon the Idea of Substance, as well as upon that Idea

of Chemical Affinity which we are here considering; and the

discussion of its evidence and truth must be for the present

deferred.

[Note 26\6: Dumas, _Phil. Chim._ p. 198.]

9. The two principles just explained,--that Affinity is

Definite as to the Kind, and as to the Quantity of the

elements which it unites,--have here been stated as results

of experimental investigation. That they could never have

been clearly understood, and therefore never firmly

established, without laborious and exact experiments, is

certain; but yet we may venture to say that being once fully

known, they may seem to thoughtful men to possess an

evidence beyond that of mere experiment. For how, in fact,

can we conceive combinations, otherwise than as definite in

kind and quantity? If we were to suppose each element

ready to combine with any other indifferently, and

indifferently in any quantity, we should have a world in

{26} which all would be confusion and indefiniteness. There

would be no fixed kinds of bodies. Salts, and stones, and

ores, would approach to and graduate into each other by

insensible degrees. Instead of this, we know that the world

consists of bodies distinguishable from each other by

definite differences, capable of being classified and named,

and of having general propositions asserted concerning them.

And as we cannot conceive a world in which this should not

be the case, it would appear that we cannot conceive a state

of things in which the laws of the combination of elements

should not be of that definite and measured kind which we

have above asserted.

This will, perhaps, appear more clearly by stating our

fundamental convictions respecting chemical composition in

another form, which I shall, therefore, proceed to do.

10. _Chemical Composition determines Physical

Properties._--However obscure and incomplete may be our

conception of the internal powers by which the ultimate

particles of bodies are held together, it involves, at

least, this conviction:--that these powers are what

determine bodies to be bodies, and therefore contain the

reason of all the properties which, as bodies, they possess.

The forces by which the particles of a body are held

together, also cause it to be hard or soft, heavy or light,

opake or transparent, black or red; for if these forces are

not the cause of these peculiarities, what can be the cause?

By the very supposition which we make respecting these

forces, they include all the relations by which the parts

are combined into a whole, and therefore they, and they

only, must determine all the attributes of the whole. The

foundation of all our speculations respecting the intimate

constitution of bodies must be this principle, that their

composition determines their properties.

Accordingly we find our chemists reasoning from this

principle with great confidence, even in doubtful cases.

Thus Davy, in his researches concerning the diamond, says:

'That some chemical difference must exist between the

hardest and most beautiful of the {27} gems and charcoal,

between a non-conductor and a conductor of electricity, it

is scarcely possible to doubt: and it seems reasonable to

expect that a very refined or perfect chemistry will confirm

_the analogies of nature_; and show that bodies cannot be

the same in their composition or chemical nature, and yet

totally different in their chemical properties.' It is

obvious that the principle here assumed is so far from being

a mere result of experience, that it is here appealed to to

prove that all previous results of experience on this

subject must be incomplete and inaccurate; and that there

must be some chemical difference between charcoal and

diamond, though none had hitherto been detected.

11. In what manner, according to what rule, the chemical

composition shall determine the kind of the substance, we

cannot reasonably expect to determine by mere conjecture or

assumption, without a studious examination of natural bodies

and artificial compounds. Yet even in the most recent times,

and among men of science, we find that an assumption of the

most arbitrary character has in one case been mixed up with

this indisputable principle, that the elementary composition

determines the kind of the substance. In the classification

of minerals, one school of mineralogists have rightly taken

it as their fundamental principle that the chemical

composition shall decide the position of the mineral in the

system. But they have appended to this principle,

arbitrarily and unjustifiably, the maxim that the element

which is _largest in quantity_ shall fix the class of the

substance. To make such an assumption is to renounce, at

once, all hope of framing a system which shall be governed

by the resemblances of the things classified; for how can we

possibly know beforehand that fifty-five per cent, of iron

shall give a substance its predominant properties, and that

forty-five per cent, shall not? Accordingly, the systems of

mineralogical arrangement which have been attempted in this

way, (those of Haüy, Phillips, and others,) have been found

inconsistent with themselves, ambiguous, and incapable of

leading to any general truths. {28}

12. _Chemical Composition and Crystalline Form

correspond._--Thus the physical properties of bodies depend

upon their chemical composition, but in a manner which a

general examination of bodies with reference to their

properties and their composition can alone determine. We

may, however, venture to assert further, that the more

definite the properties are, the more distinct may we expect

to find this dependence. Now the most definite of the

properties of bodies are those constant properties which

involve relations of space; that is, their figure. We speak

not, however, of that external figure, derived from external

circumstances, which, so far from being constant and

definite, is altogether casual and arbitrary; but of that

figure which arises from their internal texture, and which

shows itself not only in the regular forms which they

spontaneously assume, but in the disposition of the parts to

separate in definite directions, and no others. In short,

the most definite of the properties of perfect chemical

compounds is their _crystalline structure_; and therefore it

is evident that the crystalline structure of each body, and

the forms which it affects, must be in a most intimate

dependence upon its chemical composition.

Here again we are led to the brink of another theory;--that

of crystalline structure, which has excited great interest

among philosophers ever since the time of Haüy. But this

theory involves, besides that idea of chemical composition

with which we are here concerned, other conceptions, which

enter into the relations of figure. These conceptions,

governed principally by the Idea of Symmetry, must be

unfolded and examined before we can venture to discuss any

theory of crystallization: and we shall proceed to do this

as soon as we have first duly considered the Idea of

Substance and its consequences.

{{29}}

CHAPTER III.

OF THE IDEA OF SUBSTANCE.

1. _Axiom of the Indestructibility of Substance._--WE now

come to an Idea of which the history is very different from

those of which we have lately been speaking. Instead of

being gradually and recently brought into a clear light, as

has been the case with the Ideas of Polarity and Affinity,

the Idea of Substance has been entertained in a distinct

form from the first periods of European speculation. That

this is so, is proved by our finding a principle depending

upon this Idea current as an axiom among the early

philosophers of Greece:--namely, that _nothing can be

produced out of nothing_. Such an axiom, more fully stated,

amounts to this: that the substance of which a body consists

is incapable of being diminished (and consequently incapable

of being augmented) in quantity, whatever apparent changes

it may undergo. Its forms, its distribution, its qualities,

may vary, but the substance itself is identically the same

under all these variations.

The axiom just spoken of was the great principle of the

physical philosophy of the Epicurean school, as it must be

of every merely material philosophy. The reader of Lucretius

will recollect the emphasis with which it is repeatedly

asserted in his poem:

E nilo nil gigni, in nilum nil posse reverti;

Nought comes of nought, nor ought returns to nought.

Those who engaged in these early attempts at physical

speculation were naturally much pleased with the clearness

which was given to their notions of change, composition, and

decomposition, by keeping steadily hold of the Idea of

Substance, as marked by this {30} fundamental axiom. Nor has

its authority ever ceased to be acknowledged. A philosopher

was asked[27\6], What is the weight of smoke? He answered,

'Subtract the weight of the ashes from the weight of the

wood which is burnt, and you have the weight of the smoke.'

This reply would be assented to by all; and it assumes as

incontestable that even under the action of fire, the

material, the substance, does not perish, but only changes

its form.

[Note 27\6: Kant, _Kritik der R. V._ p. 167.]

This principle of the indestructibility of substance might

easily be traced in many reasonings and researches, ancient

and modern. For instance, when the chemist works with the

_retort_, he places the body on which he operates in one

part of an inclosed cavity, which, by its bendings and

communications, separates at the same time that it confines,

the products which result from the action of fire: and he

assumes that this process is an analysis of the body into

its ingredients, not a creation of anything which did not

exist before, or a destruction of anything which previously

existed. And he assumes further, that the total quantity of

the substance thus analysed is the sum of the quantities of

its ingredients. This principle is the very basis of

chemical speculation, as we shall hereafter explain more fully.

2. _The Idea of Substance._--The axiom above spoken of

depends upon the Idea of Substance, which is involved in all

our views of external objects. We unavoidably assume that

the qualities and properties which we observe are properties

of _things_;--that the adjective implies a

substantive;--that there is, besides the external characters

of things, something _of which_ they are the characters. An

apple which is red, and round, and hard, is not merely

redness, and roundness, and hardness: these circumstances

may all alter while the apple remains the same apple. Behind

or under the appearances which we see, we conceive something

of which we think; or, to use the metaphor which obtained

currency among the ancient philosophers, the {31} attributes

and qualities which we observe are supported by and inherent

in something: and this something is hence called a

_substratum_ or _substance_,--that which stands _beneath_

the apparent qualities and supports them.

That we have such an _Idea_, using the term 'Idea' in the

sense in which I have employed it throughout these

disquisitions, is evident from what has been already said.

The Axiom of the Indestructibility of Substance proves the

existence of the Idea of Substance, just as the Axioms of

Geometry and Arithmetic prove the existence of the Ideas of

Space and Number. In the case of Substance, as of space or

number, the ideas cannot be said to be borrowed from

experience, for the axioms have an authority of a far more

comprehensive and demonstrative character than any which

experience can bestow. The axiom that nothing can be

produced from nothing and nothing destroyed, is so far from

being a result of experience, that it is apparently

contradicted by the most obvious observation. It has, at

first, the air of a paradox; and by those who refer to it,

it is familiarly employed to show how fallacious common

observation is. The assertion is usually made in this

form;--that nothing is created and nothing annihilated,

_notwithstanding_ that the common course of our experience

appears to show the contrary. The principle is not an

empirical, but a necessary and universal truth;--is

collected, not from the evidence of our senses, but from the

operation of our ideas. And thus the universal and

undisputed authority of the axiom proves the existence of

the Idea of Substance.

3. _Locke's Denial of the Idea of Substance._--I shall not

attempt to review the various opinions which have been

promulgated respecting this Idea: but it may be worth our

while to notice briefly the part which it played in the

great controversy concerning the origin of our ideas which

Locke's _Essay_ occasioned. Locke's object was to disprove

the existence of all ideas not derived from Sensation or

Reflection: and since the idea of substance as distinct from

external qualities, is {32} manifestly not derived directly

from sensation, nor by any very obvious or distinct process

from reflection, Locke was disposed to exclude the idea as

much as possible. Accordingly, in his argumentation against

Innate Ideas[28\6], he says plainly, 'the idea of substance,

which we neither have nor can have by sensation or

reflection.' And the inference which he draws is, 'that we

have no such clear idea at all.' What then, it may be asked,

do we mean by the word _substance_? This also he answers,

though somewhat strangely, 'We signify nothing by the word

_substance_, but only an uncertain supposition of we know

not what, _i. e._ of something whereof we have no particular

distinct positive idea, which we take to be the substratum,

or support, of those ideas we know.' That while he indulged

in this tautological assertion of our ignorance and

uncertainty, he should still have been compelled to

acknowledge that the word substance had some meaning, and

should have been driven to explain it by the identical

metaphors of 'substratum' and 'support,' is a curious proof

how impossible it is entirely to reject this idea.

[Note 28\6: _Essay_, b. i. c. iv. s. 18.]

But as we have already seen, the supposition of the

existence of substance is so far from being uncertain, that

it carries with it irresistible conviction, and substance is

necessarily conceived as something which cannot be produced

or destroyed. It may be easily supposed, therefore, that

when the controversy between Locke and his assailants came

to this point, he would be in some difficulty. And, indeed,

though with his accustomed skill in controversy, he managed

to retain a triumphant tone, he was driven from his main

points. Thus he repels the charge that he took the being of

substance to be doubtful[29\6]. He says, 'Having everywhere

affirmed and built upon it that man is a substance, I cannot

be supposed to question or doubt of the being of substance,

till I can question or doubt of my own being.' He attempts

to make a stand by saying that _being_ of things does not

depend upon our {33} _ideas_; but if he had been asked how,

without having an _idea_ of substance, he _knew_ substance

to _be_, it is difficult to conceive what answer he could

have made. Again, he had said that our idea of substance

arises from our 'accustoming ourselves to suppose' a

substratum of qualities. Upon this his adversary, Bishop

Stillingfleet, very properly asks, Is this custom grounded

upon true reason or no? To which Locke replies, that it is

grounded upon this: That we cannot conceive how simple ideas

of sensible qualities should subsist alone; and therefore we

suppose them to exist in, and to be supported by some common

subject, which support we denote by the name substance. Thus

he allows, not only that we necessarily assume the reality

of substance, but that we cannot conceive qualities without

substance; which are concessions so ample as almost to

include all that any advocate for the Idea of Substance need

desire.

[Note 29\6: _Essay_, b. ii. c. ii. and _First Letter to the

Bishop of Worcester_.]

Perhaps Locke, and the adherents of Locke, in denying that

we have an idea of substance in general, were latently

influenced by finding that they could not, by any effort of

mind, call up any _image_ which could be considered as an

image of substance in general. That in this sense we have no

idea of substance, is plain enough; but in the same sense we

have no idea of space in general, or of time, or number, or

cause, or resemblance. Yet we certainly have such a power of

representing to our minds space, time, number, cause,

resemblance, as to arrive at numerous truths by means of

such representations. These general representations I have

all along called Ideas, nor can I discover any more

appropriate word; and in this sense, we have also, as has

now been shown, an Idea of Substance.

4. _Is all Material Substance heavy?_--The principle that

the quantity of the substance of any body remains unchanged

by our operations upon it, is, as we have said, of universal

validity. But then the question occurs, how are we to

ascertain the quantity of substance, and thus, to apply the

principle in particular cases. In the case above mentioned,

where {34} smoke was to be weighed, it was manifestly

assumed that the quantity of the substance might be known by

its weight; and that the total quantity being unchanged, the

total weight also would remain the same. Now on what grounds

do we make this assumption? Is all material substance heavy?

and if we can assert this to be so, on what grounds does the

truth of the assertion rest? These are not idle questions of

barren curiosity; for in the history of that science

(Chemistry) to which the Idea of Substance is principally

applicable, nothing less than the fate of a comprehensive

and long established theory (the Phlogiston theory) depended

upon the decision of this question. When it was urged that

the reduction of a metal from a calcined to a metallic form

could not consist in the _addition_ of phlogiston, because

the metal was lighter than the calx had been; it was replied

by some, that this was not conclusive, for that phlogiston

was a principle of levity, diminishing the weight of the

body to which it was added. This reply was, however,

rejected by all the sounder philosophers, and the force of

the argument finally acknowledged. But why was this

suggestion of a substance having no weight, or having

absolute levity, repudiated by the most reflective

reasoners? It is assumed, it appears, that all matter must

be heavy; what is the ground of this assumption?

The ground of such an assumption appears to be the

following. Our idea of substance includes in it this:--that

substance is a quantity capable of addition; and thus

capable of making up, by composition, a sum equal to all its

parts. But substance, and the quantity of substance, can be

known to us only by its attributes and qualities. And the

qualities which are capable constantly and indefinitely of

increase and diminution by increase and diminution of the

parts, must be conceived inseparable from the substance. For

the qualities, if removable from the substance at all, must

be removable by some operation performed upon the substance;

and by the idea of substance, all such operations are only

equivalent to separation, junction, and union of parts.

Hence those characters {35} which thus universally increase

and diminish by addition and subtraction of the things

themselves, belong to the substance of the things. They are

measures of its quantity, and are not merely its separable

qualities.

The weight of bodies is such a character. However we

compound or divide bodies, we compound and divide their

weight in the same manner. We may dismember a body into the

minutest parts; but the sum of the weights of the parts is

always equal to the whole weight of the body. The weight of

a body can be in no way increased or diminished, except by

adding something to it or taking something from it. If we

bake a brick, we do not conceive that the change of colour

or of hardness, implies that anything has been created or

destroyed. It may easily be that the parts have only assumed

a new arrangement; but if the brick have lost weight, we

suppose that something (moisture for instance) has been

removed elsewhere.

Thus weight is apprehended as essential to matter. In

considering the dismemberment or analysis of bodies, we

assume that there must be some criterion of the quantity of

substance; and this criterion can possess no other

properties than their weight possesses. If we assume an

element which has no weight, or the weight of which is

negative, as some of the defenders of phlogiston attempted

to do, we put an end to all speculation on such subjects.

For if weight is not the criterion of the quantity of one

element, phlogiston for instance, why is weight the

criterion of the quantity of any other element? We may, by

the same right, assume any other real or imaginary element

to have levity instead of gravity; or to have a peculiar

intensity of gravity which makes its weight no index of its

quantity. In short, if we do this, we deprive of all

possibility of application our notions of element, analysis,

and composition; and violate the postulates on which the

questions are propounded which we thus attempt to decide.

We must, then, take a constant and quantitative property of

matter, such as weight is, to be an index {36} of the

quantity of matter or of substance to which it belongs. I do

not here speak of the question which has sometimes been

proposed, whether the _weight_ or the _inertia_ of bodies be

the more proper measure of the quantity of matter. For the

measure of inertia is regulated by the same assumption as

that of substance:--that the quantity of the whole must be

equal to the quantity of all the parts: and inertia is

measured by weight, for the same reason that substance is so.

Having thus established the certainty, and ascertained the

interpretation of the fundamental principle which the Idea

of Substance involves, we are prepared to consider its

application in the science upon which it has a peculiar

bearing.

{{37}}

NOTE TO CHAPTER III.

[3rd Ed.]--[THE doctrine here propounded, that All Matter is

Heavy, has been opposed by Sir William Hamilton of

Edinburgh. (_Works of Reid_, note, p. 853.) This writer is a

man of unquestionable acuteness and of very extensive

reading; but his acuteness shows itself in barren

ontological distinctions, which appear to me to be of the

same character as the speculations of the eminent Schoolmen

of the most sterile periods of the dark ages. That he should

have no conception of progressive or inductive science is

not wonderful, when we recollect that he holds, as an

important part of his philosophy, that the study of

mathematics perverts and obscures the mind. But it may be of

some interest to consider his objections to the doctrine

here maintained.

He says, 1st, that our reasoning assumes that we must

necessarily have it in our power to ascertain the Quantity

of Matter; whereas this may be a problem out of the reach of

human determination.

To this I reply, that my reasoning _does_ assume that there

is a science, or sciences, which make assertions concerning

the Quantity of Matter: Mechanics and Chemistry are such

sciences. My assertion is, that to make such sciences

possible, Quantity of Matter must be proportional to Weight.

If my opponent deny that Mechanics and Chemistry can exist

as sciences, he may invalidate my proof; but not otherwise.

2. He says that there are two conceivable ways of estimating

the Quantity of Matter: by the Space occupied, and by the

Weight or Inertia; and that I assume the second measure

gratuitously.

To which I reply, that the most elementary steps in

Mechanics and in Chemistry contradict the notion that {38}

the Quantity of Matter is proportionate to the Space. They

proceed necessarily on a distinction between Space and

Matter:--between mere Extension and material Substance.

3. He allows that we cannot make the Extension of a body the

measure of the Quantity of Matter, because, he says, we do

not know if 'the compressing force' is such as to produce

'the closest compression.' That is, he assumes a compressing

force, assumes a closest compression, assumes a peculiar

(and very improbable) atomic hypothesis; and all this to

supply a reason why we are not to believe the first simple

principle of Mechanics and Chemistry.

4. He speaks of 'a series of apparent fluids (as Light or

its vehicle, the Calorific, the Electro-galvanic, and

Magnetic agents) which we can neither denude of their

character of substance, nor clothe with the attribute of

weight.'

To which my reply is, that precisely because I cannot

'clothe' these agents with the attribute of Weight, I _do_

'denude them of the character of Substance.' They are not

substances, but agencies. These Imponderable Agents are not

properly called 'Imponderable Fluids.' This I conceive that

I have proved; and the proof is not shaken by denying the

conclusion without showing any defect in the reasoning.

5. Finally, my critic speaks about 'a logical canon,' and

about 'a criterion of truth, subjectively necessary and

objectively certain;' which matters I shall not waste the

reader's time by discussing.]

{{39}}

CHAPTER IV.

APPLICATION OF THE IDEA OF SUBSTANCE IN CHEMISTRY.

1. _A Body is Equal to the Sum of its Elements._--FROM the

earliest periods of chemistry the balance has been

familiarly used to determine the proportions of the

ingredients and of the compound; and soon after the middle

of the last century, this practice was so studiously

followed, that Wenzel and Richter were thereby led to the

doctrine of Definite Proportions. But yet the full value and

significance of the balance, as an indispensable instrument

in chemical researches, was not understood till the gaseous,

as well as solid and fluid ingredients were taken into the

account. When this was done, it was found that the

principle, that the whole is equal to the sum of its parts,

of which, as we have seen, the necessary truth, in such

cases, flows from the idea of substance, could be applied in

the most rigorous manner. And conversely, it was found that

by the use of the balance, the chemist could decide, in

doubtful cases, which was a whole, and which were parts.

For chemistry considers all the changes which belong to her

province as compositions and decompositions of elements; but

still the question may occur, whether an observed change be

the one or the other. How can we distinguish whether the

process which we contemplate be composition or

decomposition?--whether the new body be formed by addition

of a new, or subtraction of an old element? Again; in the

case of decomposition, we may inquire, What are the ultimate

limits of our analysis? If we decompound bodies into others

more and more simple, how far can we carry this succession

{40} of processes? How far can we proceed in the road of

analysis? And in our actual course, what evidence have we

that our progress, as far as it has gone, has carried us

from the more complex to the more simple?

To this we reply, that the criterion which enables us to

distinguish, decidedly and finally, whether our process have

been a mere analysis of the proposed body into its

ingredients, or a synthesis of some of them with some new

element, is the principle stated above, that the weight of

the whole is equal to the weight of all the parts. And no

process of chemical analysis or synthesis can be considered

complete till it has been verified by this fact;--by finding

that the weight of the compound is the weight of its

supposed ingredients; or, that if there be an element which

we think we have detached from the whole, its loss is

betrayed by a corresponding diminution of weight.

I have already noticed what an important part this principle

has played in the great chemical controversy which ended in

the establishment of the oxygen theory. The calcination of a

metal was decided to be the union of oxygen with the metal,

and not the separation of phlogiston from it, because it was

found that in the process of calcination, the weight of the

metal increased, and increased exactly as much as the weight

of ambient air diminished. When oxygen and hydrogen were

exploded together, and a small quantity of water was

produced, it was held that this was really a synthesis of

water, because, when very great care was taken with the

process, the weight of the water which resulted was equal to

the weight of the gases which disappeared.

2. _Lavoisier._--It was when gases came to be considered as

entering largely into the composition of liquid and solid

bodies, that extreme accuracy in weighing was seen to be so

necessary to the true understanding of chemical processes.

It was in this manner discovered by Lavoisier and his

contemporaries that oxygen constitutes a large ingredient of

calcined metals, of acids, and of water. A countryman of

Lavoisier[30\6] {41} has not only given most just praise to

that great philosopher for having constantly tested all his

processes by a careful and skilful use of the balance, but

has also claimed for him the merit of having introduced the

maxim, that in chemical operations nothing is created and

nothing lost. But I think it is impossible to deny that this

maxim is assumed in all the attempts at analysis made by his

contemporaries, as well as by him. This maxim is indeed

included in any clear notion of analysis: it could not be

the result of the researches of any one chemist, but was the

governing principle of the reasonings of all. Lavoisier,

however, employed this principle with peculiar assiduity and

skill. In applying it, he does not confine himself to mere

additions and subtractions of the quantities of ingredients;

but often obtains his results by more complex processes. In

one of his investigations he says, 'I may consider the

ingredients which are brought together, and the result which

is obtained as an algebraical equation; and if I

successively suppose each of the quantities of this equation

to be unknown, I can obtain its value from the rest: and

thus I can rectify the experiment by the calculation, and

the calculation by the experiment. I have often taken

advantage of this method, in order to correct the first

results of my experiments, and to direct me in repeating

them with proper precautions.'

[Note 30\6: M. Dumas, _Leçons de la Philosophie Chimique_.

1837. p. 157.]

The maxim, that the whole is equal to the sum of all its

parts, is thus capable of most important and varied

employment in chemistry. But it may be applied in another

form to the exclusion of a class of speculations which are

often put forwards.

3. _Maxim respecting Imponderable Elements._--Several of the

phenomena which belong to bodies, as heat, light,

electricity, magnetism, have been explained hypothetically

by assuming the existence of certain fluids; but these

fluids have never been shown to have weight. Hence such

hypothetical fluids have been termed _imponderable

elements_. It is however plain, that so long as these fluids

appear to be without weight, they are not _elements_ of

bodies in the same {42} sense as those elements of which we

have hitherto been speaking. Indeed we may with good reason

doubt whether those phenomena depend upon transferable

fluids at all. We have seen strong reason to believe that

light is not matter, but only motion; and the same thing

appears to be probable with regard to heat. Nor is it at all

inconceivable that a similar hypothesis respecting

electricity and magnetism should hereafter be found tenable.

Now if heat, light, and those other agents, be not matter,

they are not _elements_ in such a sense as to be included in

the principle referred to above, That the body is equal to

the sum of its elements. Consequently the maxim just stated,

that in chemical operations nothing is created, nothing

annihilated, does not apply to Light and Heat. They are not

_things_. And whether heat can be produced where there was

no heat before, and light struck out from darkness, the

ideas of which we are at present treating do not enable us

to say. In reasoning respecting chemical synthesis and

analysis therefore, we shall only make confusion by

attempting to include in our conception the Light and Heat

which are produced and destroyed. Such phenomena may be very

proper subjects of study, as indeed they undoubtedly are;

but they cannot be studied to advantage by considering them

as sharing the nature of composition and decomposition.

Again: in all attempts to explain the processes of nature,

the proper course is, first to measure the facts with

precision, and then to endeavour to understand their cause.

Now the facts of chemical composition and decomposition, the

weights of the ingredients and of the compounds, are facts

measurable with the utmost precision and certainty. But it

is far otherwise with the light and heat which accompany

chemical processes. When combustion, deflagration,

explosion, takes place, how can we measure the light or the

heat? Even in cases of more tranquil action, though we can

apply the thermometer, what does the thermometer tell us

respecting the _quantity_ of the heat? Since then we have no

measure which is of any value as {43} regards such

circumstances in chemical changes, if we attempt to account

for these phenomena _on chemical principles_, we introduce,

into investigations in themselves perfectly precise and

mathematically rigorous, another class of reasonings, vague

and insecure, of which the only possible effect is to

vitiate the whole reasoning, and to make our conclusions

inevitably erroneous.

We are led then to this maxim: that _imponderable fluids

are_ not _to be admitted as chemical elements of bodies_[31\6].

[Note 31\6: See the answer to Sir William Hamilton's

objections, at the end of the last chapter.

Since we are thus warned by a sound view of the nature of

science, from considering chemical affinity as having any

hold upon imponderable elements, we are manifestly still

more decisively prohibited from supposing mechanical impulse

or pressure to have any effect upon such elements. To make

this supposition, is to connect the most subtle and

incorporeal objects which we know in nature by the most

gross material ties. This remark seems to be applicable to

M. Poisson's hypothesis that the electric fluid is retained

at the surface of bodies by the pressure of the

atmosphere.]

4. It appears, I think, that our best and most philosophical

chemists have proceeded upon this principle in their

investigations. In reasoning concerning the constitution of

bodies and the interpretation of chemical changes, the

attempts to include in these interpretations the heat or

cold produced, by the addition or subtraction of a certain

hypothetical 'caloric,' have become more and more rare among

men of science. Such statements, and the explanations often

put forwards of the light and heat which appear under

various circumstances in the form of fire, must be

considered as unessential parts of any sound theory.

Accordingly we find Mr. Faraday gradually relinquishing such

views. In January, 1834, he speaks generally of an

hypothesis of this kind[32\6]: 'I cannot refrain from

recalling here the beautiful idea put forth, I believe by

Berzelius, in his development of his views of the

electro-chemical theory of affinity, that the heat and light

evolved during cases of powerful combination {44} are the

consequence of the electric discharge which is at that

moment taking place.' But in April of the same year[33\6],

he observes, that in the combination of oxygen and hydrogen

to produce water, electric powers to a most enormous amount

are for the time active, but that the flame which is

produced gives but feeble traces of such powers. 'Such

phenomena,' therefore, he adds, 'may not, cannot, be taken

as evidences of the nature of the action; but are merely

incidental results, incomparably small in relation to the

forces concerned, and supplying no information of the way in

which the particles are active on each other, or in which

their forces are finally arranged.'

[Note 32\6: _Researches_, 870.]

[Note 33\6: _Researches_, 960.]

In pursuance of this maxim, we must consider as an

unessential part of the oxygen theory that portion of it,

much insisted upon by its author at the time, in which when

sulphur, for instance, combined with oxygen to produce

sulphuric acid, the combustion was accounted for by means of

the _caloric_ which was supposed to be _liberated_ from its

combination with oxygen.

History of scientific ideas · 第 18 / 23 章