The earlier of the modern thinkers--Descartes among the rati

Produced by Al Haines.

[Illustration: Immanuel Kant]

*THE PHILOSOPHY OF

IMMANUEL KANT*

BY A. D. LINDSAY, M.A.

FELLOW AND TUTOR OF BALLIOL COLLEGE, OXFORD

LONDON: T. C. & E. C. JACK, LTD.

35 PATERNOSTER ROW, E.C., & EDINBURGH

NEW YORK: DODGE PUBLISHING CO.

*FOREWORD*

There is a story that Schopenhauer used to begin his lectures on Kant by

saying: "Let no one _tell_ you what is contained in the _Critique of

Pure Reason_." The writer of this little book hopes that no one will

imagine that he has disregarded this warning. There are no short-cuts

to the understanding of a great philosopher, and the only way to

appreciate the greatness of a philosophic system is to study the

philosopher's own writings. All that the writer of a book like this can

hope to do is to persuade others to undertake that study by interesting

them in the problems with which it deals, and by offering a few

suggestions which may help to an understanding of it. I have said

nothing about the numerous other works which Kant wrote. For the three

_Critiques_ contain his system, and the understanding of that is

all-important.

*CONTENTS*

CHAP.

I. THE IDEA OF CRITICISM

II. KANT'S STATEMENT OF THE PROBLEM. SYNTHETIC A PRIORI JUDGMENTS

III. KANT'S IDEALISM. TIME AND SPACE

IV. THE CATEGORIES AND THE PRINCIPLES OF PURE UNDERSTANDING

V. THE ANTINOMIES AND CRITICISM OF THE PROOFS OF THE EXISTENCE OF GOD

VI. KANT'S MORAL THEORY

VII. THE "CRITIQUE OF JUDGMENT"

BIBLIOGRAPHY

*THE PHILOSOPHY OF KANT*

*CHAPTER I*

*THE IDEA OF CRITICISM*

"It is a difficult matter," says Heine, "to write the life history of

Immanuel Kant, for he had neither life nor history. He lived a

mechanically ordered, abstract, old bachelor kind of existence in a

quiet, retired alley in Koenigsberg, an old town in the north-east

corner of Germany." The times he lived in were stirring enough. He was

born in 1724, and died in 1804. He lived through the Seven Years' War

that first made Germany a nation, he followed with sympathy the United

States War of Independence, he saw the French Revolution and the

beginning of the career of Napoleon. Yet in all his long life he never

moved out of the province in which he was born, and nothing was allowed

to interrupt the steady course of his lecturing, studying, and writing.

"Getting up," continues Heine, "drinking coffee, lecturing, eating,

going for a walk, everything had its fixed time; and the neighbours knew

that it must be exactly half-past four when Immanuel Kant, in his gray

frock-coat, with his Spanish cane in his hand, stepped from his door and

walked towards the little lime-tree avenue, which is called after him

the Philosopher's Walk." "Strange contrast," reflects Heine, "between

the man's outward life and his destructive, world-smashing thoughts."

As the political history of the eighteenth century came to an end when

the French Revolution spilled over the borders of France and drove

Napoleon up and down Europe, breaking up the old political systems and

inaugurating modern Europe, so its opposing currents of thought were

gathered together in the mind of a weak-chested, half-invalid little man

in Koenigsberg, and from their meeting a new era in philosophy began.

There are some philosophers to whom truth seems to come almost unsought,

as an immediate authoritative vision. Kant was not one of these. His

greatest work, the _Critique of Pure Reason_, was conceived when he was

forty-eight, and published in 1781, when he was fifty-seven. It was the

outcome of half a lifetime's patient study and thought. Heine says of

him: "He was the perfect type of the small shopkeeper. Nature had meant

him to weigh coffee and sugar, but fate willed that he should weigh

other things and put a God on his scales, and his weighing was exact."

The sneer is unjust, but there is something in the simile; for Kant's

philosophy was a kind of taking stock, a survey of the great movement of

thought from the time when the Renaissance and the Reformation made

thought free, an attempt to estimate the achievements of the new

sciences, to deal with their conflicting claims and ideals and say what

it all came to. In Kant modern science, which began with Descartes and

Galileo, first became conscious of itself.

This taking stock Kant called _Criticism_. His great books are all

called Critiques--the _Critique of Pure Reason_, the _Critique of

Practical Reason_, the _Critique of Judgment_. He called his philosophy

the Critical Philosophy or Critical Idealism. Essential to an

understanding of Kant is an understanding of what he meant by criticism,

and why he opposes it to dogmatism and scepticism; for the necessity and

possibility of such a criticism was his great philosophical discovery.

We have called Kant's work a survey of the achievements of the thought

of his times, but it was very much more than that, and has a much more

universal significance than could belong to any history of the thought

of one epoch. For these achievements of thought, though great, were

conflicting and partial. They contrasted with failure and barrenness in

other directions, and they seemed to be due to different methods. This

success of thought in one direction and its failure in another, and this

uncertainty about the true method of science, were problems which at

once presented themselves to an impartial observer, and Kant held that

they could be answered only by taking stock of actual attainments, and

by criticism of the powers and range of human thought in general.

The problem that presented itself to him will be understood if we look

for a moment at the history of thought in the seventeenth and eighteenth

centuries. One thing that Kant noted in it was the steady and sure

progress of physics. "With the experiments of Galileo and Torricelli,"

he says in the preface to the second edition of the first _Critique_, "a

new light flashed on all students of nature." The continued success of

physics meant the successful application of mathematics to the concrete

world, and along with it a remarkable development of mathematics itself.

This sudden success inspired men to feel that they had discovered a way

of explaining the universe; they contrasted the fertility of their new

methods with the barrenness of scholastic speculation in morals and

theology; they felt confident that all that was wanted to the attainment

of certain knowledge in all spheres of human interest was the extension

of these methods. If men would only set to work the right way, they

were sure that all difficulties would be overcome; and, by reflection

upon their own success, they hoped to explain what the right way was.

Unfortunately this was not easy, for the advance from pure mathematics

to physics, from a study of the nature of pure mathematical conceptions

to an inquiry into the laws of falling bodies, implied a change whose

nature was not clear to the men who had themselves made the advance. A

conflict arose between those who thought more of the fact that

knowledge, to be certain, must be capable of mathematical expression,

and those who thought more of the basis of experiment and observation on

which the new sciences depended, who remembered that these sciences

began when Galileo, instead of thinking in the abstract how bodies ought

to fall, dropped bodies of different weights from the top of the leaning

tower of Pisa and observed what actually happened. Descartes was the

great representative of the first school. He began by insisting on the

difference between mathematical truth which could be, as he said,

clearly and distinctly conceived, and ordinary opinion about things

which was full of guesswork and imagination. Scientific knowledge was

possible, he thought, only by apprehending the real or primary qualities

of things which were mathematical, in contradistinction to their

secondary qualities--their colour, smell, &c.--which were less real.

Thence he came to think that the real world was mathematical in nature,

like a huge, intricate geometrical figure. The elements of mere fact,

in our present knowledge, its dependence on observation and experiment,

he thought of as temporary defects which the progress of science would

remove. What we ordinarily call perception, indeed, in the sense of

awareness of things in time and space, was described by Descartes'

successors as confused thinking. Our knowledge of the world would, it

was hoped, become a vast mathematical system, all the detail and

complexity of which would be rigorously deducible from a few central

truths.

This general way of thinking was called Rationalism. Kant ordinarily

calls it Dogmatism. It was attacked by other scientists for its view of

the nature of space and time. No one who reflects at all can fail to

distinguish a difference between the way in which we see the truth of a

geometrical proposition--that, _e.g._, the three angles of a triangle

are equal to two right angles--and the way in which we judge that such

and such a figure drawn on a board is a triangle, or make judgments

about the way in which things are actually arranged in space or succeed

in time. Judgments of the latter kind involve words like "here" and

"there," "now" and "then," words which are all a kind of pointing. It

seems impossible from considering the nature of a triangle to deduce why

any existing thing should be called triangular, and all statements about

the position of things in space and time seem to be derived not from a

consideration of the general nature of space and time, but from

observation. Now the science which had made perhaps the most striking

progress in the time we are speaking of, physical astronomy, involved

any number of statements about the position of bodies in space. The

Rationalist school admitted this, but held that that was due to the fact

that science was not sufficiently thought out. In time, they hoped, all

statements about position in space would disappear. To think of things

in spatial order was to think confusedly. Newton, on the other hand,

held that space could not be explained away, that astronomy implied an

absolute space in which things existed, that the spatial relations of

things could not be explained by the nature of the things themselves,

but only by a reference to absolute space in which they all were. This

meant that observation or perception was something of which you could

not hope and should not wish to get rid, and that an ideal of knowledge

in which all applied mathematics should have been transmuted into pure

mathematics was a vain one. Astronomy implied both mere observation and

apprehension of necessary relations. Here was a science which seemed to

employ both methods together. Galileo, in fact could not have made his

discovery without observation but men had observed bodies falling for

ages without discovering the laws of motion. Further, the laws of

motion, once discovered, made men in some degree independent of

observation, made them able to say of actual concrete things not only

what had happened, but what must happen.

Such difficulties as these arose from reflection on the aims and methods

of the mathematical sciences, but there was much genuinely scientific

inquiry in the seventeenth and eighteenth centuries, which showed no

signs of taking mathematical form; chemistry and biology, for example,

were still almost entirely empirical. Furthermore, thinkers were not

concerned with science alone. These centuries saw a great revival of

interest in speculation on human affairs, history, politics, morals and

theology. England, which was the home of free discussion on questions

of politics and morals, and where, more than in most other countries,

there was free discussion on theology, became also the home of

empiricism. The empirical movement, indeed, drew much of its impetus

from a reaction against Hobbes, the only great English thinker who

unhesitatingly applied the mechanical and deterministic assumptions of

the new sciences to morals and politics, and arrived by this

uncompromising method at results so obviously repellent that no man of

any sense could accept them, and so consistently presented that they

could not be refuted save by a refutation of the assumptions upon which

they were founded. Such a refutation was, in fact, undertaken by Locke,

the first great representative of the empirical school. He was

interested alike in the more obviously empirical sciences of chemistry

and biology, and in politics. He was not a very consistent or

systematic thinker, but he had other gifts perhaps as valuable. He was

a man of great common sense and breadth of view, and was able thereby to

take a conspectus of the general situation in the various spheres of

inquiry, to notice the obvious differences in our knowledge of

mathematics, of chemical and biological fact, and of theology, and to

see that these constituted a problem. We find in him the first

statement of the necessity of philosophical criticism. It is contained

in his account of the origin of the _Essay concerning Human

Understanding_. "Were it fit to trouble thee with the history of this

_Essay_, I should tell thee that five or six friends, meeting at my

chamber, and discoursing on a subject very remote from this" (they were

discussing the "principles of morality and revealed religion"), "found

themselves quickly at a stand, by the difficulties that rose on every

side. After we had awhile puzzled ourselves, without coming any nearer

a resolution of those doubts which perplexed us, it came into my

thoughts that we took a wrong course; and that, before we set ourselves

upon inquiries of that nature, it was necessary to examine our own

abilities, and see what _objects_ our understandings were, or were not,

fitted to deal with."

We have here the same general starting point of inquiry as we shall

afterwards find in Kant. There are certain, obstinate puzzles which we

meet with in discussion which can only be solved by going back and

inquiring into the nature of knowledge and the powers of our minds.

Unfortunately, as Kant points out, Locke went the wrong way about his

task. He describes it as "a plain historical inquiry." He thought that

he had only to look into his mind and see what was in it, as he might

open a door and look into a room. The result is that he thinks of all

knowledge as consisting simply in looking at what is present to the

mind. We can know, therefore, whatever can be present to the mind, and

the limitations of knowledge are discovered by asking what can be so

present to the mind. The conclusions to which he comes as to different

spheres of human inquiry are roughly these: We can have knowledge of

mathematics because there we are concerned only with ideas present to

the mind, and with noting their agreement and disagreement. We can have

no knowledge of such questions as the immortality of the soul, or the

nature of spirits, for they are beyond our observation. As regards

existing things, we can have knowledge of them, in so far as they are

present to our minds, and no further. The meaning of "present to the

mind" was never clearly analysed by Locke; but he meant, for example,

that we can observe that an object which is yellow, and which we call

gold, is also heavy, and can be dissolved by Aqua Regia, but we cannot

say why that is so, and we ought not, on Locke's principles, to have any

ground for supposing that these qualities will go on co-existing.

The element of truth in Locke's position is this. When we are examining

concrete things like pieces of gold or any chemical substance, we find

in them a number of varying qualities whose connection we cannot

understand. We do not know why a metal of a certain specific gravity

should also be yellow; we can only note the fact. Hence in chemistry

our method must be quite different from the method of mathematics. In

mathematics we start from the definition, and we can understand the

connection of the properties of a geometrical figure, and see that they

all follow necessarily from the definition. But in sciences like

chemistry a definition does not take us any further; we can only find

out the properties of a substance by observation and experiment. Locke

explains this difference by saying that in the former case we are only

concerned with agreement among our own ideas, in the second place we are

concerned somehow with things outside us. This explanation will not

stand. It is not true that mathematics is simply analysis of an

arbitrary definition, as Locke seems to suggest. It involves

construction, or, as Kant calls it, synthesis. It is a process of

discovering new truths. Secondly, our statements about concrete objects

are not statements of qualities we see co-existing at the moment. They

are statements about all gold or all men; in other words, they are

universal, and Locke found it impossible to explain the universality of

such propositions--what we mean, _e.g._ when we talk about the nature of

gold or of man, not of this gold or this man that I see before me.

Lastly, this distinction of mathematics and the empirical sciences by a

distinction of spheres does not allow, as we saw, for a science like

astronomy, which builds on mathematics and yet applies to the concrete

world.

These difficulties were seen more clearly by Hume, at once the greatest

and the most thorough-going of empiricists. He cut the knot in regard

to mathematics by asserting that geometry, just because it has clearly

an application to the existing world, had no more certainty than any

other empirical inquiry, while arithmetic and algebra, he agreed, were

certain, but confined their application to the sphere of our own ideas.

Both positions are almost obviously inconsistent with the facts. In

considering the nature of our judgments about concrete existences he

raised a more profound problem. All such judgments, as he said, imply

the principle of causation, or of what is called, in modern times, the

principle of the uniformity of nature. That principle we take with us

in our investigation of the existing world. Yet, as Hume saw, we do not

observe causes; we only observe succession and change. We seem,

therefore, to put into the world we see a necessity and uniformity which

the observed facts do not warrant. How is this to be explained?

Hume's answer is ingenious. The principle of causation cannot be

rationally justified, and the necessary connection we predicate of

changes in the outside world is not in the things; it is only a feeling

in ourselves, and is the result of custom. After seeing the same

succession several times, we come somehow to feel differently about it,

and that feeling of difference we express by saying that we have before

us an instance not of simple succession, but of cause and effect.

This is not the place to discuss the difficulties of Hume's position; it

is enough to notice how entirely passive it makes the mind, and how

alien such an explanation is from the spirit of inquiry and discovery.

If cause is simply the effect of custom on the mind, then the facts

either produce that effect or they do not. In neither case is there

anything to find out. But the scientist, in investigating causes,

however strongly he may hold that he has to observe the facts, knows

also that he has a problem to solve, that he has to discover the right

way to go about it, must adopt some principle in dealing with the facts.

Pure passivity will help him little.

Hume's account of causation, then, is really a denial of even empirical

science, and yet it helped to make clear an important truth; for,

although we do not get the _principle_ of causation from experience, we

have to go to experience to discover causal laws. We do not discover

causation by analysing a cause and seeing that it is such that, from its

nature, it must produce a certain effect. All knowledge of causation

goes back to observed succession, though all cases of observed and even

repeated succession are not cases of causation. Hume, therefore, was

right in saying that where there could be no observed succession there

could be no knowledge of causation.

Both the rationalistic and the empirical explanations of science had

failed, the one because it could find no room for observation of facts,

the other because it could find no room for principles governing that

observation; and we shall see that Kant started with a consciousness of

this double failure. He saw that Hume's criticism of causation raised

problems for which the rationalist had no answer, and yet that the

position reached by Hume was incompatible with the existence of science.

The same failure of both rationalism and empiricism had become evident

in another sphere--that of morals and religion. The relation of

philosophy to science is always twofold. Philosophy is partly concerned

with analysing and reflecting on the methods of the different sciences,

partly with seeking to adjust the rival and conflicting claims of the

two great departments of man's life--science and religion.

It might seem, at first sight, as though in morals and religion

rationalism were the only possible method to be approved by philosophy,

for, inasmuch as morals are concerned with what ought to be, not with

what is, they cannot depend on observation, but must be deduced from

some principle above experience; nor are objects of religion, God and

the soul, objects of observation. No man can "by searching find out

God."

It was natural, therefore, that both on the Continent and in England

morality and religion began by being rationalistic. Descartes believed

that his mathematical method could be applied with success to

demonstrate the truths of religion, while Locke includes morality along

with mathematics among the a priori and certain sciences. But the

history of eighteenth century controversy showed that, in spite of

rationalist methods, neither morality nor religion could attain that

certainty and general agreement which marked the mathematical sciences.

Spinoza, applying the same method as Descartes, but with more

consistency, arrived at a conception of God which most of his

contemporaries regarded as "horrid atheism," and the general result of

rational theology is well described by one of Kant's correspondents when

he says that the more proofs of the existence of God he learnt, the more

his doubts increased. In England the attempts made to found morality

upon rationalist principles produced systems too barren to withstand the

attack of empiricism fortified by the growing interest in history and

anthropology. The Deist movement, an attempt to free religion from the

incrustations of faith and deduce it from pure reason, showed that a

religion founded on pure reason contained nothing worth believing. In

Hume we have the final discrediting of reason in these spheres. He

shows ingeniously that "the good Berkeley's" argument for the existence

of God could be turned round to disprove the existence of the soul, and

he concluded that religion was a sphere with which reason had no

concern. In the sphere of morals the distinction between what ought to

be and what is, the distinction on which rationalistic morals are based,

had been discredited by a reduction of all conduct to Utilitarianism, a

search for pleasure and a flight from pain mediated by sympathy. The

consequences are described by Kant in his preface to the _Critique of

Pure Reason_: "At present, after everything has been tried, so they say,

and tried in vain, there reign in philosophy weariness and complete

indifferentism, the mother of chaos and night in all sciences," though

he hopefully continues, "but at the same time the source, or at least

the prelude, of their near reform and of a new light, after an

ill-applied study has rendered them dark, confused, and useless."

The earlier of the modern thinkers--Descartes among the rationalists,

and Bacon among the empiricists--are full of hope. They have confidence

in the human spirit. But increased reflection seemed only to bring

distrust with it. The history of rationalism in theology showed that,

in such matters, reason could prove absolutely opposing positions. Most

men were ready to accept Hume's dictum that any one who follows his

reason must be a fool and take refuge in an indifferentism which accepts

whatever happens to be there.

The remedy for this state of affairs, Kant finds, is the critical

method; for disbelief in reason is the reaction from overconfidence in

it. Men had thought that reason could prove everything. Because these

hopes had been frustrated, they now thought that it could prove nothing.

Philosophy, he was convinced, would oscillate between overweening

confidence and unwarranted distrust in itself until it had criticised

human reason and discovered what it could do and what it could not.

This is the task he set before himself. As the failure of eighteenth

century philosophy, which had led to distrust of all philosophy, had

been twofold--failure to give an intelligible explanation of the

processes of scientific thought, and failure to find any standard by

which to mediate between the conflicting claims of science and

religion--the task of the critical philosophy is twofold. It attempts

to explain and to justify the methods and assumptions of the sciences,

and to find some solution of the conflict between theories of the world

which seem to be based upon these methods and the assumptions and claims

of morality and religion.

*CHAPTER II*

*KANT'S STATEMENT OF THE PROBLEM. SYNTHETIC

A PRIORI JUDGMENTS*

In the preface to the second edition of the _Critique of Pure Reason_

Kant finds the necessity of criticism in the contrast between certain

rational sciences and metaphysics. Mathematics and physics, he

observes, are obviously certain sciences. They are not empirical, they

make steady progress, the results they have reached are secure and

unanimously accepted, and have a certainty which no mere empirical

investigation could attain. Metaphysics, on the other hand, though as

ancient an inquiry, seems incapable of any settled results. Its history

is a record, not of steady progress, but of bewildering marches and

countermarches. The confident conclusions of one philosopher are as

confidently denied by another, and the endless indecisive conflict

produces in the minds of most men the conviction that in philosophy one

doctrine is as good as another, and therefore none are worth very much.

In the sphere where reason might be expected to be most at home, reason

is impotent; yet the achievements of reason in those other spheres of

the a priori sciences should preserve us from any general scepticism of

the powers of reason. The task of criticism will be to examine the part

played by reason in science, and to ask how far its failure in

metaphysics is due to mistakes in method, and how far to the different

nature of the objects of the a priori sciences and of metaphysics. Kant

points out that it was some time before either mathematics or physics

followed the secure path of a science. The contrast between the

haphazard and empirical observations of the Babylonians or Egyptians and

the science of the Greeks was due to the discovery of a new method. The

discovery by Galileo and Torricelli of modern physics came about by a

similar revolution in method. The _Critique_, therefore, is to be a

treatise on method. It will examine the method of reason in the

sciences, and ask what conclusions can be drawn as to the proper method

of metaphysics.

In the _Prolegomena_, a work in which he summarises the results of the

first _Critique_, Kant describes the _Critique_ as an answer to three

questions: How is mathematics possible? How is pure science of nature

or physics possible? and, How is metaphysics possible? Something of the

nature of his answer to the third, and for him the most important,

question, may be gathered from the fact that he explains that the third

question should not be put in the form, How is metaphysics as a science

possible? That question can only be answered by saying that it is not

possible. But it is still allowable and necessary to ask, How is

metaphysics possible as a natural disposition of the mind? For the main

result of his inquiries into the place of reason in the sciences is to

show that reason is successful in the sciences only because of the

presence of certain conditions which are wanting in metaphysics. At

first sight we might think it natural that the objects of metaphysics

which Kant enumerates as God, Freedom, and Immortality should be

understood by reason, and find it more difficult to explain how reason

should apply to the world of ordinary experience. The knowledge of

everyday things is thought of as empirical, a matter of observation;

while we are inclined to think that, if there is rational knowledge, it

is knowledge of something else, of the mere agreement or disagreement of

ideas (as Hume thought), or of the essences of things, known

independently and apart from perception, as Plato thought. Kant argues

that the combination of a priori reasoning and empirical observation,

which earlier thinkers had found so puzzling in the exact sciences,

exhibits the only possible use of reason, that reason, divorced from and

with no reference to the world of experience, is barren, and that

consequently metaphysics, if that be taken to mean a rational knowledge

of objects which are outside of our experience, does not exist. We are

left with metaphysics as a natural disposition; for Kant holds that the

questions which metaphysics seeks to answer arise from the nature of

reason and its relation to experience, though their answer is to be

sought not in knowledge but in action.

This last point must be elucidated later. In the meantime we must see

how this inquiry into the nature of reason crystalises itself into a

seemingly abstract and trivial question: How are synthetic a priori

judgments possible? It is baffling at first to find an inquiry of the

scope we have indicated suddenly take such a narrow form, but a little

consideration will show the importance of the question. Knowledge may

be regarded as either analysis or synthesis, as a puzzling out or

unravelling of what we somehow know already, or as a putting together of

what had previously been known or observed separately. The rationalist

school, whom we described in the last chapter, were inclined to regard

all knowledge as analytical. They thought of progress in knowledge as

an advance from obscure to clear apprehension, and as a thinking out or

making clear of something which had always been known somehow.

Mathematics, the typical form of knowledge for the rationalists, had

been thought of as the analysis of what was implied or given in the

definitions. The conception of analytic a priori knowledge was thus

familiar and simple. On the other hand, the empiricists had thought of

knowledge as primarily synthesis--or, as they called it, association--a

connecting together of ideas in their nature separate. Knowledge of a

thing was thought of as the observing together of several ideas.

Judgments about objects were regarded as judgments about the

co-existence of separate ideas, ideas which were not thought of as being

bound by any logical necessity. We do not understand why a substance

with the specific gravity of gold should be yellow; we only observe the

co-existence of certain qualities. The judgment, then, gold is yellow,

is synthetic; it is an assertion of the co-existence of separate

qualities. It is also empirical; it does not express a reasoned insight

into the necessary connection of gold and yellow. It seems rather a

record of observation. Synthetic knowledge, then, was thought of as in

its nature empirical and a posteriori. Hume, who thought of all

knowledge of the world in experience as synthetic, denied to such

knowledge any necessity or certainty.

Hume, however, had noticed that the principle of causation, the judgment

that every event has a cause, is both a priori and synthetic. It is

not, he held, derived from experience; rather it is a principle which

guides our investigation of experience. It is not got from analysis of

the notion of causation, nor is it simply concerned with the agreement

or disagreement of our ideas. It asserts the necessary connection of

two perfectly separate existing things. Hume himself, as we saw, tried

to explain away these uncomfortable facts. He was too wedded to his

belief that all knowledge was derived from passively received

impressions to face them rightly. Kant, coming to the problem with

different prepossessions, with the belief that most knowledge was

analytic, was impressed with Hume's proof that the principle of

causation could not be derived from analysis. The very basis of all

science of nature, then, contradicted the belief that knowledge was

analytical. Kant was also, with Hume, convinced that the principle of

causation was not derived from experience, for he saw that experience

assumed it. At the same time, he was not prepared, like Hume, to

explain it away. Further, he saw that the problem raised by the

principle of causation was a wide one. For other judgments, he held, are

both synthetic and a priori, among them mathematical judgments. As we

shall see afterwards, Kant proved the impossibility of arriving at

knowledge of God or the soul by mere analysis of concepts. The

judgments of metaphysics, about God or the soul, are also synthetic.

But the validity of the judgments of metaphysics is under dispute. If we

examine the synthetic a priori judgments of mathematics and of science

whose validity is certain, we may then discover whether such judgments

in metaphysics can or can not have similar certainty. We may thus see

that the problem of the possibility of synthetic a priori judgments is a

restatement in logical terms of the problem of the relation between the

a priori sciences and metaphysics.

Something more must be said of the importance of synthetic a priori

judgments in Kant's account of knowledge. Their existence, we have

seen, exposes the shortcomings of both rationalism, which allowed only

for analytic a priori judgments, and empiricism, which allowed only of

synthetic a posteriori judgments. Both these theories tended to regard

knowledge as an analysis or description of what was present to the mind,

and differed really only in their view of what was present. For, though

the empiricist thought of empirical knowledge as synthesis, the

synthesis was not ascribed to the mind, but to associating ideas; the

mind only observed, and knowledge was merely the apprehension of objects

by the senses. We see what is before our eyes, and notice the

differences and similarities in what is before us. The rationalist

conceived of thought as simply apprehending the nature of the real,

freed from the illusions of sense perception. The mathematician has

before his thought the nature of a triangle, and sees intellectually

what that nature implies. We may try to mediate between the two by

saying that while all knowing is observing, some is observing of objects

of thought and some of objects of sense, the one being called

understanding, the other perception. In most scientific judgments,

however, we are not simply observing objects either of thought or of

sense. Scientific judgments are more than descriptions of what is

present to the mind or to the senses; they are essentially

anticipations. They go beyond what is immediately given. This is shown

by the fact that it is the characteristic of a scientific proposition

that it can be verified. If we understand it rightly, we see that it

implies that, under such-and-such conditions, such-and-such things will

be experienced. Hence the importance of experiment to science. A

scientific proposition is, of course, grounded on observation of

perceived fact and understanding of universal connection, but it is an

assertion of something beyond that.

If, then, all scientific judgments are synthetic, and if both

rationalism and empiricism failed to account for the manner in which

such judgments go beyond what is immediately given to the mind, ought we

not to say that the real problem for Kant is to show not merely how

synthetic a priori judgments are possible, but how any synthetic

judgments are possible? This seems at first sight plausible, but the

suggestion must be rejected; for, when Kant asks how a judgment is

possible, he is not asking how we come to make it, but how we know that

it is valid. Now, if we consider any empirical judgment about the facts

of nature, we must recognise that Locke and Hume were right in denying

certainty to such judgments. In all general statements about concrete

facts we to a certain extent go beyond our evidence. Empirical

scientific statements are not theoretically certain. They may, of

course, be certain enough for all practical purposes. They are

reasonable expectations of what will happen, but reasonable expectation

is a very different thing from the certainty of mathematical insight.

Now Kant maintained that, while such empirical judgments are not

certain, they all imply the certainty of a number of general principles

on which they depend. These general principles are the synthetic a

priori judgments with which he is especially concerned. When we apply

the principles of trigonometry to an engineering problem, we know that

our measurements are only approximate, and that the result also will

only be approximate; but the possibility of arriving at such approximate

results depends on the absolute truth of the trigonometrical principles,

and on the assumption that they express not simply the agreement or

disagreement of ideas, but hold of the real. When we apply the rules of

arithmetic to counting objects, there may be a certain arbitrariness in

deciding on our unit. There is no such arbitrariness in the rule. All

scientific judgments of causation are only approximately certain, but

they all imply the certainty of the principle of causation, and are

based on the assumption that such a principle is of universal

application. This and the other principles assumed in our empirical

judgments are, then, the synthetic judgments with which Kant is

concerned. Now, it is of the nature of our empirical knowledge that it

is fragmentary and not uniform, that we are concerned with an indefinite

number of things whose connections we do not wholly understand, and

which we cannot therefore anticipate. Yet we assume that all these

objects will obey the rules of arithmetic and geometry, and will all be

subject in their changes to the principle of causation. On such

assumptions all the sciences of applied mathematics depend. How are

they justifiable? That is Kant's question.

Kant, when he considers mathematics, is concerned with the assumptions

of applied mathematics, of those sciences which, though mathematical,

make statements about existing objects, and in which the old distinction

between understanding and perception which was based on the difference

in the objects of these two faculties breaks down. The sciences which

Kant is investigating imply that principles which are clearly not

derived from mere observation are yet the basis on which we order and

arrange what we observe. Now, if we held that the objects of

mathematics were independent entities quite separate from the things we

perceive, it would be impossible to explain how we might assume that the

things we perceive would be subject to the rules of mathematics. If, on

the other hand, we held that in mathematics we were simply concerned

with the various objects of the senses, it would be impossible to

explain how mathematics can have a generality and necessity which no

statements can have which rest on observation of the various things we

see. The existence of applied mathematics implies firstly that

understanding and perception are distinct, and that neither of them can

be reduced to the other, for that would mean that we should have to give

up either the element of observation and experiment or the element of

necessity and a priority, and secondly, that understanding and

perception are combined, and must be combined for any advance in

science.

Now, Kant finds his answer to the problem he has raised by concentrating

his attention on the fact that, while understanding and perception are

distinct, they are both present in all knowledge. His argument is that

we are necessarily in a difficulty if we think of understanding and

perception as having each its separate objects, and then try to explain

their combination. If we begin with their combination, we may see that

the reference of principles of thought to objects of sense is not an

accident, but that these principles of thought or of understanding, as

Kant calls them, are only concerned with objects of sense, and have no

other meaning. If we object, But how can principles of thought be

universal if they are concerned with the many and varying objects of

sense? Kant's answer is that they are not concerned directly with these

objects, but with the conditions under which these objects can be

understood. They are therefore not statements about objects, but

statements of the conditions of possible experience. If we find out that

all perceiving and thinking imply certain conditions, then we can affirm

the validity of principles based upon these conditions, so long as we do

not try to apply the principles beyond our perceiving.

We may put the point in another way by asking by what right the mind can

prescribe to or anticipate experience. Kant's answer is just in so far

as we can determine the conditions under which alone objects can be

known. If that can be done, we can say, These principles will hold of

objects in so far as they are known. In the preface to the second

edition of the _Critique of Pure Reason_ Kant reverts to the discoveries

of Galileo and Torricelli, and points out that their success was due to

their asking of nature the right question, and the right question was

that which reason could understand. "When Galileo let balls of a

particular weight, which he had determined himself, roll down an

inclined plane, or Torricelli made the air carry a weight, which he had

previously determined to be equal to that of a definite volume of water,

a new light flashed on all students of nature. They comprehended that

reason has insight into that only which she herself produces on her own

plan, and that she must move forward with the principles of her

judgments, according to fixed law, and compel nature to answer her

questions, but not let herself be led by nature, as it were in

leading-strings. Otherwise accidental observations, made on no

previously fixed plan, will never converge towards a necessary law,

which is the only thing that reason seeks or requires. Reason, holding

in one hand its principles, according to which alone concordant

phenomena can be admitted as laws of nature, and in the other the

experiment which it has devised according to those principles, must

approach nature in order to be taught by it, but not in the character of

a pupil who agrees to everything the master likes, but as an appointed

judge, who compels the witnesses to answer the questions which he

himself proposes."

Kant, here, is concerned with reason in its application to experience,

and he makes it clear that there is much in all such inquiries which

cannot be anticipated a priori. "Reason must approach nature in order

to be taught by it." The answer to the questions and experiments cannot

be known beforehand. The empirical element in science cannot be

explained away. Reason dictates not the answer but the question, and so

far the form of the answer. Reason, then, it is suggested, is concerned

with the principles or conditions, according to which we can understand

things. It is not a method of observing or analysing objects; rather it

states the methods and principles according to which objects must be

observed if they are to be understood. The principles are not

statements about the nature of objects, but principles of the

possibility of experience. This new attitude to reason Kant describes

as the Copernican change in philosophy. It constitutes Kant's idealism.

Its nature and importance we must examine in the next chapter.

*CHAPTER III*

*KANT'S IDEALISM. TIME AND SPACE*

The great discovery which Kant considered he had made as to the nature

of reason was that reason was not a method of observing objects as they

really exist, but was concerned directly only with our ways of

understanding objects. This discovery is the essence of Kant's

idealism, and its main purport is expressed in the distinction Kant so

often makes between things in themselves and phenomena. This

distinction is used as the key to the solution of all his difficulties.

But the doctrine it implies is very easy to misunderstand, partly

because idealism is generally used in a very different sense from that

in which Kant uses it, partly because Kant's statement of the

distinction between things in themselves and phenomena depended on a

view of knowledge which he was very much concerned to refute, but with

which we are not now familiar. If we are to understand Kant's

philosophy, we must know what he means by idealism, and wherein his

idealism differs from that of his predecessors.

The word idealism is, naturally, contrasted with realism. It suggests

an assertion that something is not real, but only an idea. If we know

it to be combined with a distinction between things in themselves, and

phenomena, or appearances, it seems to suggest that the objects of

knowledge are somehow illusions, or only appearances in the mind, as

contrasted with real things. Something like this had been held by Kant's

predecessors. For the fundamental principle of the idealism on which

most of Kant's predecessors had been agreed, and which is sometimes

called Cartesian, and sometimes subjective idealism, is that the mind

somehow knows itself and its own actions and states, with more

directness and certainty than it knows external objects. The doctrine

is commonly based upon a confused view of sense perception.

Sense perception is obviously possible only through processes in the

sensory organs, and objects were thought of as producing impressions

through the sensory organs in the brain, and the mind as then becoming

aware of them in the brain. Hence, when Locke says that the mind only

knows its own ideas, he tends to mean (though the facts are sometimes

too much for him and he is nobly inconsistent) that the mind only knows

objects inside the brain. The main objection to this doctrine, apart

from the fact that it is based on a confusion, is that it makes it quite

inexplicable how the notion of an outside world ever arises. For if we

know, and must eternally know, only ideas inside our head, why should we

ever imagine that there an outside world exists. Yet if nothing

_outside_ us were observed--if we knew of no process which went on

between outside objects and the brain, the doctrine would have no basis

on which to rest. There cannot be any meaning in saying something is

"only an idea," if we do not know what is real in the sense of its

having an existence independent of our minds.

Locke supposed that, although we knew only ideas, we could somehow refer

from our ideas to an outside world. For he thought that truth was

concerned with the agreement of our ideas with reality. This form of

the doctrine, the commonest, is sometimes called Representationism. For

it thinks of the mind as concerned with representations, or pictures, or

images which it may compare with the real objects. Its futility is

obvious enough. We can only compare a picture with the thing it

represents, if we can know both. If we can only know ideas, we can

never know that they are only ideas, and can never compare them with

anything else.

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