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The Critique of Pure Reason - Antithetic of Pure Reason.

Immanuel Kant (1724-1804)


           SECTION II. Antithetic of Pure Reason.



  Thetic is the term applied to every collection of dogmatical

propositions. By antithetic I do not understand dogmatical

assertions of the opposite, but the self-contradiction of seemingly

dogmatical cognitions (thesis cum antithesis, in none of which we

can discover any decided superiority. Antithetic is not, therefore,

occupied with one-sided statements, but is engaged in considering

the contradictory nature of the general cognitions of reason and its

causes. Transcendental antithetic is an investigation into the

antinomy of pure reason, its causes and result. If we employ our

reason not merely in the application of the principles of the

understanding to objects of experience, but venture with it beyond

these boundaries, there arise certain sophistical propositions or

theorems. These assertions have the following peculiarities: They

can find neither confirmation nor confutation in experience; and

each is in itself not only self-consistent, but possesses conditions

of its necessity in the very nature of reason- only that, unluckily,

there exist just as valid and necessary grounds for maintaining the

contrary proposition.

  The questions which naturally arise in the consideration of this

dialectic of pure reason, are therefore: 1st. In what propositions

is pure reason unavoidably subject to an antinomy? 2nd. What are the

causes of this antinomy? 3rd. Whether and in what way can reason

free itself from this self-contradiction?

  A dialectical proposition or theorem of pure reason must,

according to what has been said, be distinguishable from all

sophistical propositions, by the fact that it is not an answer to an

arbitrary question, which may be raised at the mere pleasure of any

person, but to one which human reason must necessarily encounter in

its progress. In the second place, a dialectical proposition, with its

opposite, does not carry the appearance of a merely artificial

illusion, which disappears as soon as it is investigated, but a

natural and unavoidable illusion, which, even when we are no longer

deceived by it, continues to mock us and, although rendered

harmless, can never be completely removed.

  This dialectical doctrine will not relate to the unity of

understanding in empirical conceptions, but to the unity of reason

in pure ideas. The conditions of this doctrine are- inasmuch as it

must, as a synthesis according to rules, be conformable to the

understanding, and at the same time as the absolute unity of the

synthesis, to the reason- that, if it is adequate to the unity of

reason, it is too great for the understanding, if according with the

understanding, it is too small for the reason. Hence arises a mutual

opposition, which cannot be avoided, do what we will.

  These sophistical assertions of dialectic open, as it were, a

battle-field, where that side obtains the victory which has been

permitted to make the attack, and he is compelled to yield who has

been unfortunately obliged to stand on the defensive. And hence,

champions of ability, whether on the right or on the wrong side, are

certain to carry away the crown of victory, if they only take care

to have the right to make the last attack, and are not obliged to

sustain another onset from their opponent. We can easily believe

that this arena has been often trampled by the feet of combatants,

that many victories have been obtained on both sides, but that the

last victory, decisive of the affair between the contending parties,

was won by him who fought for the right, only if his adversary was

forbidden to continue the tourney. As impartial umpires, we must lay

aside entirely the consideration whether the combatants are fighting

for the right or for the wrong side, for the true or for the false,

and allow the combat to be first decided. Perhaps, after they have

wearied more than injured each other, they will discover the

nothingness of their cause of quarrel and part good friends.

  This method of watching, or rather of originating, a conflict of

assertions, not for the purpose of finally deciding in favour of

either side, but to discover whether the object of the struggle is not

a mere illusion, which each strives in vain to reach, but which

would be no gain even when reached- this procedure, I say, may be

termed the sceptical method. It is thoroughly distinct from

scepticism- the principle of a technical and scientific ignorance,

which undermines the foundations of all knowledge, in order, if

possible, to destroy our belief and confidence therein. For the

sceptical method aims at certainty, by endeavouring to discover in a

conflict of this kind, conducted honestly and intelligently on both

sides, the point of misunderstanding; just as wise legislators derive,

from the embarrassment of judges in lawsuits, information in regard to

the defective and ill-defined parts of their statutes. The antinomy

which reveals itself in the application of laws, is for our limited

wisdom the best criterion of legislation. For the attention of reason,

which in abstract speculation does not easily become conscious of

its errors, is thus roused to the momenta in the determination of

its principles.

  But this sceptical method is essentially peculiar to

transcendental philosophy, and can perhaps be dispensed with in

every other field of investigation. In mathematics its use would be

absurd; because in it no false assertions can long remain hidden,

inasmuch as its demonstrations must always proceed under the

guidance of pure intuition, and by means of an always evident

synthesis. In experimental philosophy, doubt and delay may be very

useful; but no misunderstanding is possible, which cannot be easily

removed; and in experience means of solving the difficulty and putting

an end to the dissension must at last be found, whether sooner or

later. Moral philosophy can always exhibit its principles, with

their practical consequences, in concreto- at least in possible

experiences, and thus escape the mistakes and ambiguities of

abstraction. But transcendental propositions, which lay claim to

insight beyond the region of possible experience, cannot, on the one

hand, exhibit their abstract synthesis in any a priori intuition, nor,

on the other, expose a lurking error by the help of experience.

Transcendental reason, therefore, presents us with no other

criterion than that of an attempt to reconcile such assertions, and

for this purpose to permit a free and unrestrained conflict between

them. And this we now proceed to arrange.*



  *The antinomies stand in the order of the four transcendental

ideas above detailed.





          FIRST CONFLICT OF THE TRANSCENDENTAL IDEAS.



                          THESIS.



     The world has a beginning in time, and is also limited in

regard to space.



                          PROOF.



  Granted that the world has no beginning in time; up to every given

moment of time, an eternity must have elapsed, and therewith passed

away an infinite series of successive conditions or states of things

in the world. Now the infinity of a series consists in the fact that

it never can be completed by means of a successive synthesis. It

follows that an infinite series already elapsed is impossible and

that, consequently, a beginning of the world is a necessary

condition of its existence. And this was the first thing to be proved.

  As regards the second, let us take the opposite for granted. In this

case, the world must be an infinite given total of coexistent

things. Now we cannot cogitate the dimensions of a quantity, which

is not given within certain limits of an intuition,* in any other

way than by means of the synthesis of its parts, and the total of such

a quantity only by means of a completed synthesis, or the repeated

addition of unity to itself. Accordingly, to cogitate the world, which

fills all spaces, as a whole, the successive synthesis of the parts of

an infinite world must be looked upon as completed, that is to say, an

infinite time must be regarded as having elapsed in the enumeration of

all co-existing things; which is impossible. For this reason an

infinite aggregate of actual things cannot be considered as a given

whole, consequently, not as a contemporaneously given whole. The world

is consequently, as regards extension in space, not infinite, but

enclosed in limits. And this was the second thing to be proved.



  *We may consider an undetermined quantity as a whole, when it is

enclosed within limits, although we cannot construct or ascertain

its totality by measurement, that is, by the successive synthesis of

its parts. For its limits of themselves determine its completeness

as a whole.



                        ANTITHESIS.



  The world has no beginning, and no limits in space, but is, in

relation both to time and space, infinite.



                          PROOF.



  For let it be granted that it has a beginning. A beginning is an

existence which is preceded by a time in which the thing does not

exist. On the above supposition, it follows that there must have

been a time in which the world did not exist, that is, a void time.

But in a void time the origination of a thing is impossible; because

no part of any such time contains a distinctive condition of being, in

preference to that of non-being (whether the supposed thing

originate of itself, or by means of some other cause). Consequently,

many series of things may have a beginning in the world, but the world

itself cannot have a beginning, and is, therefore, in relation to past

time, infinite.

  As regards the second statement, let us first take the opposite

for granted- that the world is finite and limited in space; it follows

that it must exist in a void space, which is not limited. We should

therefore meet not only with a relation of things in space, but also a

relation of things to space. Now, as the world is an absolute whole,

out of and beyond which no object of intuition, and consequently no

correlate to which can be discovered, this relation of the world to

a void space is merely a relation to no object. But such a relation,

and consequently the limitation of the world by void space, is

nothing. Consequently, the world, as regards space, is not limited,

that is, it is infinite in regard to extension.*



  *Space is merely the form of external intuition (formal

intuition), and not a real object which can be externally perceived.

Space, prior to all things which determine it (fill or limit it),

or, rather, which present an empirical intuition conformable to it,

is, under the title of absolute space, nothing but the mere

possibility of external phenomena, in so far as they either exist in

themselves, or can annex themselves to given intuitions. Empirical

intuition is therefore not a composition of phenomena and space (of

perception and empty intuition). The one is not the correlate of the

other in a synthesis, but they are vitally connected in the same

empirical intuition, as matter and form. If we wish to set one of

these two apart from the other- space from phenomena- there arise

all sorts of empty determinations of external intuition, which are

very far from being possible perceptions. For example, motion or

rest of the world in an infinite empty space, or a determination of

the mutual relation of both, cannot possibly be perceived, and is

therefore merely the predicate of a notional entity.





            OBSERVATIONS ON THE FIRST ANTINOMY.



                     ON THE THESIS.



  In bringing forward these conflicting arguments, I have not been

on the search for sophisms, for the purpose of availing myself of

special pleading, which takes advantage of the carelessness of the

opposite party, appeals to a misunderstood statute, and erects its

unrighteous claims upon an unfair interpretation. Both proofs

originate fairly from the nature of the case, and the advantage

presented by the mistakes of the dogmatists of both parties has been

completely set aside.

  The thesis might also have been unfairly demonstrated, by the

introduction of an erroneous conception of the infinity of a given

quantity. A quantity is infinite, if a greater than itself cannot

possibly exist. The quantity is measured by the number of given units-

which are taken as a standard- contained in it. Now no number can be

the greatest, because one or more units can always be added. It

follows that an infinite given quantity, consequently an infinite

world (both as regards time and extension) is impossible. It is,

therefore, limited in both respects. In this manner I might have

conducted my proof; but the conception given in it does not agree with

the true conception of an infinite whole. In this there is no

representation of its quantity, it is not said how large it is;

consequently its conception is not the conception of a maximum. We

cogitate in it merely its relation to an arbitrarily assumed unit,

in relation to which it is greater than any number. Now, just as the

unit which is taken is greater or smaller, the infinite will be

greater or smaller; but the infinity, which consists merely in the

relation to this given unit, must remain always the same, although the

absolute quantity of the whole is not thereby cognized.

  The true (transcendental) conception of infinity is: that the

successive synthesis of unity in the measurement of a given quantum

can never be completed.* Hence it follows, without possibility of

mistake, that an eternity of actual successive states up to a given

(the present) moment cannot have elapsed, and that the world must

therefore have a beginning.



  *The quantum in this sense contains a congeries of given units,

which is greater than any number- and this is the mathematical

conception of the infinite.



  In regard to the second part of the thesis, the difficulty as to

an infinite and yet elapsed series disappears; for the manifold of a

world infinite in extension is contemporaneously given. But, in

order to cogitate the total of this manifold, as we cannot have the

aid of limits constituting by themselves this total in intuition, we

are obliged to give some account of our conception, which in this case

cannot proceed from the whole to the determined quantity of the parts,

but must demonstrate the possibility of a whole by means of a

successive synthesis of the parts. But as this synthesis must

constitute a series that cannot be completed, it is impossible for

us to cogitate prior to it, and consequently not by means of it, a

totality. For the conception of totality itself is in the present case

the representation of a completed synthesis of the parts; and this

completion, and consequently its conception, is impossible.



                   ON THE ANTITHESIS.



  The proof in favour of the infinity of the cosmical succession and

the cosmical content is based upon the consideration that, in the

opposite case, a void time and a void space must constitute the limits

of the world. Now I am not unaware, that there are some ways of

escaping this conclusion. It may, for example, be alleged, that a

limit to the world, as regards both space and time, is quite possible,

without at the same time holding the existence of an absolute time

before the beginning of the world, or an absolute space extending

beyond the actual world- which is impossible. I am quite well

satisfied with the latter part of this opinion of the philosophers

of the Leibnitzian school. Space is merely the form of external

intuition, but not a real object which can itself be externally

intuited; it is not a correlate of phenomena, it is the form of

phenomena itself. Space, therefore, cannot be regarded as absolutely

and in itself something determinative of the existence of things,

because it is not itself an object, but only the form of possible

objects. Consequently, things, as phenomena, determine space; that

is to say, they render it possible that, of all the possible

predicates of space (size and relation), certain may belong to

reality. But we cannot affirm the converse, that space, as something

self-subsistent, can determine real things in regard to size or shape,

for it is in itself not a real thing. Space (filled or void)* may

therefore be limited by phenomena, but phenomena cannot be limited

by an empty space without them. This is true of time also. All this

being granted, it is nevertheless indisputable, that we must assume

these two nonentities, void space without and void time before the

world, if we assume the existence of cosmical limits, relatively to

space or time.



  *It is evident that what is meant here is, that empty space, in so

far as it is limited by phenomena- space, that is, within the world-

does not at least contradict transcendental principles, and may

therefore, as regards them, be admitted, although its possibility

cannot on that account be affirmed.



  For, as regards the subterfuge adopted by those who endeavour to

evade the consequence- that, if the world is limited as to space and

time, the infinite void must determine the existence of actual

things in regard to their dimensions- it arises solely from the fact

that instead of a sensuous world, an intelligible world- of which

nothing is known- is cogitated; instead of a real beginning (an

existence, which is preceded by a period in which nothing exists),

an existence which presupposes no other condition than that of time;

and, instead of limits of extension, boundaries of the universe. But

the question relates to the mundus phaenomenon, and its quantity;

and in this case we cannot make abstraction of the conditions of

sensibility, without doing away with the essential reality of this

world itself. The world of sense, if it is limited, must necessarily

lie in the infinite void. If this, and with it space as the a priori

condition of the possibility of phenomena, is left out of view, the

whole world of sense disappears. In our problem is this alone

considered as given. The mundus intelligibilis is nothing but the

general conception of a world, in which abstraction has been made of

all conditions of intuition, and in relation to which no synthetical

proposition- either affirmative or negative- is possible.





         SECOND CONFLICT OF TRANSCENDENTAL IDEAS.



                        THESIS.



  Every composite substance in the world consists of simple parts; and

there exists nothing that is not either itself simple, or composed

of simple parts.



                         PROOF.



  For, grant that composite substances do not consist of simple parts;

in this case, if all combination or composition were annihilated in

thought, no composite part, and (as, by the supposition, there do

not exist simple parts) no simple part would exist. Consequently, no

substance; consequently, nothing would exist. Either, then, it is

impossible to annihilate composition in thought; or, after such

annihilation, there must remain something that subsists without

composition, that is, something that is simple. But in the former case

the composite could not itself consist of substances, because with

substances composition is merely a contingent relation, apart from

which they must still exist as self-subsistent beings. Now, as this

case contradicts the supposition, the second must contain the truth-

that the substantial composite in the world consists of simple parts.

  It follows, as an immediate inference, that the things in the

world are all, without exception, simple beings- that composition is

merely an external condition pertaining to them- and that, although we

never can separate and isolate the elementary substances from the

state of composition, reason must cogitate these as the primary

subjects of all composition, and consequently, as prior thereto- and

as simple substances.



                      ANTITHESIS.



  No composite thing in the world consists of simple parts; and

there does not exist in the world any simple substance.



                             PROOF.



  Let it be supposed that a composite thing (as substance) consists of

simple parts. Inasmuch as all external relation, consequently all

composition of substances, is possible only in space; the space,

occupied by that which is composite, must consist of the same number

of parts as is contained in the composite. But space does not

consist of simple parts, but of spaces. Therefore, every part of the

composite must occupy a space. But the absolutely primary parts of

what is composite are simple. It follows that what is simple

occupies a space. Now, as everything real that occupies a space,

contains a manifold the parts of which are external to each other, and

is consequently composite- and a real composite, not of accidents (for

these cannot exist external to each other apart from substance), but

of substances- it follows that the simple must be a substantial

composite, which is self-contradictory.

  The second proposition of the antithesis- that there exists in the

world nothing that is simple- is here equivalent to the following: The

existence of the absolutely simple cannot be demonstrated from any

experience or perception either external or internal; and the

absolutely simple is a mere idea, the objective reality of which

cannot be demonstrated in any possible experience; it is consequently,

in the exposition of phenomena, without application and object. For,

let us take for granted that an object may be found in experience

for this transcendental idea; the empirical intuition of such an

object must then be recognized to contain absolutely no manifold

with its parts external to each other, and connected into unity.

Now, as we cannot reason from the non-consciousness of such a manifold

to the impossibility of its existence in the intuition of an object,

and as the proof of this impossibility is necessary for the

establishment and proof of absolute simplicity; it follows that this

simplicity cannot be inferred from any perception whatever. As,

therefore, an absolutely simple object cannot be given in any

experience, and the world of sense must be considered as the sum total

of all possible experiences: nothing simple exists in the world.

  This second proposition in the antithesis has a more extended aim

than the first. The first merely banishes the simple from the

intuition of the composite; while the second drives it entirely out of

nature. Hence we were unable to demonstrate it from the conception

of a given object of external intuition (of the composite), but we

were obliged to prove it from the relation of a given object to a

possible experience in general.





            OBSERVATIONS ON THE SECOND ANTINOMY.



                          THESIS.



  When I speak of a whole, which necessarily consists of simple parts,

I understand thereby only a substantial whole, as the true

composite; that is to say, I understand that contingent unity of the

manifold which is given as perfectly isolated (at least in thought),

placed in reciprocal connection, and thus constituted a unity. Space

ought not to be called a compositum but a totum, for its parts are

possible in the whole, and not the whole by means of the parts. It

might perhaps be called a compositum ideale, but not a compositum

reale. But this is of no importance. As space is not a composite of

substances (and not even of real accidents), if I abstract all

composition therein- nothing, not even a point, remains; for a point

is possible only as the limit of a space- consequently of a composite.

Space and time, therefore, do not consist of simple parts. That

which belongs only to the condition or state of a substance, even

although it possesses a quantity (motion or change, for example),

likewise does not consist of simple parts. That is to say, a certain

degree of change does not originate from the addition of many simple

changes. Our inference of the simple from the composite is valid

only of self-subsisting things. But the accidents of a state are not

self-subsistent. The proof, then, for the necessity of the simple,

as the component part of all that is substantial and composite, may

prove a failure, and the whole case of this thesis be lost, if we

carry the proposition too far, and wish to make it valid of everything

that is composite without distinction- as indeed has really now and

then happened. Besides, I am here speaking only of the simple, in so

far as it is necessarily given in the composite- the latter being

capable of solution into the former as its component parts. The proper

signification of the word monas (as employed by Leibnitz) ought to

relate to the simple, given immediately as simple substance (for

example, in consciousness), and not as an element of the composite. As

an clement, the term atomus would be more appropriate. And as I wish

to prove the existence of simple substances, only in relation to,

and as the elements of, the composite, I might term the antithesis

of the second Antinomy, transcendental Atomistic. But as this word has

long been employed to designate a particular theory of corporeal

phenomena (moleculae), and thus presupposes a basis of empirical

conceptions, I prefer calling it the dialectical principle of

Monadology.



                        ANTITHESIS.



  Against the assertion of the infinite subdivisibility of matter

whose ground of proof is purely mathematical, objections have been

alleged by the Monadists. These objections lay themselves open, at

first sight, to suspicion, from the fact that they do not recognize

the clearest mathematical proofs as propositions relating to the

constitution of space, in so far as it is really the formal

condition of the possibility of all matter, but regard them merely

as inferences from abstract but arbitrary conceptions, which cannot

have any application to real things. just as if it were possible to

imagine another mode of intuition than that given in the primitive

intuition of space; and just as if its a priori determinations did not

apply to everything, the existence of which is possible, from the fact

alone of its filling space. If we listen to them, we shall find

ourselves required to cogitate, in addition to the mathematical point,

which is simple- not, however, a part, but a mere limit of space-

physical points, which are indeed likewise simple, but possess the

peculiar property, as parts of space, of filling it merely by their

aggregation. I shall not repeat here the common and clear

refutations of this absurdity, which are to be found everywhere in

numbers: every one knows that it is impossible to undermine the

evidence of mathematics by mere discursive conceptions; I shall only

remark that, if in this case philosophy endeavours to gain an

advantage over mathematics by sophistical artifices, it is because

it forgets that the discussion relates solely to Phenomena and their

conditions. It is not sufficient to find the conception of the

simple for the pure conception of the composite, but we must

discover for the intuition of the composite (matter), the intuition of

the simple. Now this, according to the laws of sensibility, and

consequently in the case of objects of sense, is utterly impossible.

In the case of a whole composed of substances, which is cogitated

solely by the pure understanding, it may be necessary to be in

possession of the simple before composition is possible. But this does

not hold good of the Totum substantiale phaenomenon, which, as an

empirical intuition in space, possesses the necessary property of

containing no simple part, for the very reason that no part of space

is simple. Meanwhile, the Monadists have been subtle enough to

escape from this difficulty, by presupposing intuition and the

dynamical relation of substances as the condition of the possibility

of space, instead of regarding space as the condition of the

possibility of the objects of external intuition, that is, of

bodies. Now we have a conception of bodies only as phenomena, and,

as such, they necessarily presuppose space as the condition of all

external phenomena. The evasion is therefore in vain; as, indeed, we

have sufficiently shown in our Aesthetic. If bodies were things in

themselves, the proof of the Monadists would be unexceptionable.

  The second dialectical assertion possesses the peculiarity of having

opposed to it a dogmatical proposition, which, among all such

sophistical statements, is the only one that undertakes to prove in

the case of an object of experience, that which is properly a

transcendental idea- the absolute simplicity of substance. The

proposition is that the object of the internal sense, the thinking

Ego, is an absolute simple substance. Without at present entering upon

this subject- as it has been considered at length in a former chapter-

I shall merely remark that, if something is cogitated merely as an

object, without the addition of any synthetical determination of its

intuition- as happens in the case of the bare representation, I- it is

certain that no manifold and no composition can be perceived in such a

representation. As, moreover, the predicates whereby I cogitate this

object are merely intuitions of the internal sense, there cannot be

discovered in them anything to prove the existence of a manifold whose

parts are external to each other, and, consequently, nothing to

prove the existence of real composition. Consciousness, therefore,

is so constituted that, inasmuch as the thinking subject is at the

same time its own object, it cannot divide itself- although it can

divide its inhering determinations. For every object in relation to

itself is absolute unity. Nevertheless, if the subject is regarded

externally, as an object of intuition, it must, in its character of

phenomenon, possess the property of composition. And it must always be

regarded in this manner, if we wish to know whether there is or is not

contained in it a manifold whose parts are external to each other.





          THIRD CONFLICT OF THE TRANSCENDENTAL IDEAS.



                            THESIS.



  Causality according to the laws of nature, is not the only causality

operating to originate the phenomena of the world. A causality of

freedom is also necessary to account fully for these phenomena.



                             PROOF.



  Let it be supposed, that there is no other kind of causality than

that according to the laws of nature. Consequently, everything that

happens presupposes a previous condition, which it follows with

absolute certainty, in conformity with a rule. But this previous

condition must itself be something that has happened (that has

arisen in time, as it did not exist before), for, if it has always

been in existence, its consequence or effect would not thus

originate for the first time, but would likewise have always

existed. The causality, therefore, of a cause, whereby something

happens, is itself a thing that has happened. Now this again

presupposes, in conformity with the law of nature, a previous

condition and its causality, and this another anterior to the

former, and so on. If, then, everything happens solely in accordance

with the laws of nature, there cannot be any real first beginning of

things, but only a subaltern or comparative beginning. There cannot,

therefore, be a completeness of series on the side of the causes which

originate the one from the other. But the law of nature is that

nothing can happen without a sufficient a priori determined cause. The

proposition therefore- if all causality is possible only in accordance

with the laws of nature- is, when stated in this unlimited and general

manner, self-contradictory. It follows that this cannot be the only

kind of causality.

  From what has been said, it follows that a causality must be

admitted, by means of which something happens, without its cause being

determined according to necessary laws by some other cause

preceding. That is to say, there must exist an absolute spontaneity of

cause, which of itself originates a series of phenomena which proceeds

according to natural laws- consequently transcendental freedom,

without which even in the course of nature the succession of phenomena

on the side of causes is never complete.



                        ANTITHESIS.



  There is no such thing as freedom, but everything in the world

happens solely according to the laws of nature.



                          PROOF.



  Granted, that there does exist freedom in the transcendental

sense, as a peculiar kind of causality, operating to produce events in

the world- a faculty, that is to say, of originating a state, and

consequently a series of consequences from that state. In this case,

not only the series originated by this spontaneity, but the

determination of this spontaneity itself to the production of the

series, that is to say, the causality itself must have an absolute

commencement, such that nothing can precede to determine this action

according to unvarying laws. But every beginning of action presupposes

in the acting cause a state of inaction; and a dynamically primal

beginning of action presupposes a state, which has no connection- as

regards causality- with the preceding state of the cause- which does

not, that is, in any wise result from it. Transcendental freedom is

therefore opposed to the natural law of cause and effect, and such a

conjunction of successive states in effective causes is destructive of

the possibility of unity in experience and for that reason not to be

found in experience- is consequently a mere fiction of thought.

  We have, therefore, nothing but nature to which we must look for

connection and order in cosmical events. Freedom- independence of

the laws of nature- is certainly a deliverance from restraint, but

it is also a relinquishing of the guidance of law and rule. For it

cannot be alleged that, instead of the laws of nature, laws of freedom

may be introduced into the causality of the course of nature. For,

if freedom were determined according to laws, it would be no longer

freedom, but merely nature. Nature, therefore, and transcendental

freedom are distinguishable as conformity to law and lawlessness.

The former imposes upon understanding the difficulty of seeking the

origin of events ever higher and higher in the series of causes,

inasmuch as causality is always conditioned thereby; while it

compensates this labour by the guarantee of a unity complete and in

conformity with law. The latter, on the contrary, holds out to the

understanding the promise of a point of rest in the chain of causes,

by conducting it to an unconditioned causality, which professes to

have the power of spontaneous origination, but which, in its own utter

blindness, deprives it of the guidance of rules, by which alone a

completely connected experience is possible.





             OBSERVATIONS ON THE THIRD ANTINOMY.



                       ON THE THESIS.



  The transcendental idea of freedom is far from constituting the

entire content of the psychological conception so termed, which is for

the most part empirical. It merely presents us with the conception

of spontaneity of action, as the proper ground for imputing freedom to

the cause of a certain class of objects. It is, however, the true

stumbling-stone to philosophy, which meets with unconquerable

difficulties in the way of its admitting this kind of unconditioned

causality. That element in the question of the freedom of the will,

which bas for so long a time placed speculative reason in such

perplexity, is properly only transcendental, and concerns the

question, whether there must be held to exist a faculty of spontaneous

origination of a series of successive things or states. How such a

faculty is possible is not a necessary inquiry; for in the case of

natural causality itself, we are obliged to content ourselves with the

a priori knowledge that such a causality must be presupposed, although

we are quite incapable of comprehending how the being of one thing

is possible through the being of another, but must for this

information look entirely to experience. Now we have demonstrated this

necessity of a free first beginning of a series of phenomena, only

in so far as it is required for the comprehension of an origin of

the world, all following states being regarded as a succession

according to laws of nature alone. But, as there has thus been

proved the existence of a faculty which can of itself originate a

series in time- although we are unable to explain how it can exist- we

feel ourselves authorized to admit, even in the midst of the natural

course of events, a beginning, as regards causality, of different

successions of phenomena, and at the same time to attribute to all

substances a faculty of free action. But we ought in this case not

to allow ourselves to fall into a common misunderstanding, and to

suppose that, because a successive series in the world can only have a

comparatively first beginning- another state or condition of things

always preceding- an absolutely first beginning of a series in the

course of nature is impossible. For we are not speaking here of an

absolutely first beginning in relation to time, but as regards

causality alone. When, for example, I, completely of my own free will,

and independently of the necessarily determinative influence of

natural causes, rise from my chair, there commences with this event,

including its material consequences in infinitum, an absolutely new

series; although, in relation to time, this event is merely the

continuation of a preceding series. For this resolution and act of

mine do not form part of the succession of effects in nature, and

are not mere continuations of it; on the contrary, the determining

causes of nature cease to operate in reference to this event, which

certainly succeeds the acts of nature, but does not proceed from them.

For these reasons, the action of a free agent must be termed, in

regard to causality, if not in relation to time, an absolutely

primal beginning of a series of phenomena.

  The justification of this need of reason to rest upon a free act

as the first beginning of the series of natural causes is evident from

the fact, that all philosophers of antiquity (with the exception of

the Epicurean school) felt themselves obliged, when constructing a

theory of the motions of the universe, to accept a prime mover, that

is, a freely acting cause, which spontaneously and prior to all

other causes evolved this series of states. They always felt the

need of going beyond mere nature, for the purpose of making a first

beginning comprehensible.



                    ON THE ANTITHESIS.



  The assertor of the all-sufficiency of nature in regard to causality

(transcendental Physiocracy), in opposition to the doctrine of

freedom, would defend his view of the question somewhat in the

following manner. He would say, in answer to the sophistical arguments

of the opposite party: If you do not accept a mathematical first, in

relation to time, you have no need to seek a dynamical first, in

regard to causality. Who compelled you to imagine an absolutely primal

condition of the world, and therewith an absolute beginning of the

gradually progressing successions of phenomena- and, as some

foundation for this fancy of yours, to set bounds to unlimited nature?

Inasmuch as the substances in the world have always existed- at

least the unity of experience renders such a supposition quite

necessary- there is no difficulty in believing also, that the

changes in the conditions of these substances have always existed;

and, consequently, that a first beginning, mathematical or

dynamical, is by no means required. The possibility of such an

infinite derivation, without any initial member from which all the

others result, is certainly quite incomprehensible. But, if you are

rash enough to deny the enigmatical secrets of nature for this reason,

you will find yourselves obliged to deny also the existence of many

fundamental properties of natural objects (such as fundamental

forces), which you can just as little comprehend; and even the

possibility of so simple a conception as that of change must present

to you insuperable difficulties. For if experience did not teach you

that it was real, you never could conceive a priori the possibility of

this ceaseless sequence of being and non-being.

  But if the existence of a transcendental faculty of freedom is

granted- a faculty of originating changes in the world- this faculty

must at least exist out of and apart from the world; although it is

certainly a bold assumption, that, over and above the complete content

of all possible intuitions, there still exists an object which

cannot be presented in any possible perception. But, to attribute to

substances in the world itself such a faculty, is quite

inadmissible; for, in this case; the connection of phenomena

reciprocally determining and determined according to general laws,

which is termed nature, and along with it the criteria of empirical

truth, which enable us to distinguish experience from mere visionary

dreaming, would almost entirely disappear. In proximity with such a

lawless faculty of freedom, a system of nature is hardly cogitable;

for the laws of the latter would be continually subject to the

intrusive influences of the former, and the course of phenomena, which

would otherwise proceed regularly and uniformly, would become

thereby confused and disconnected.





        FOURTH CONFLICT OF THE TRANSCENDENTAL IDEAS.



                         THESIS.



  There exists either in, or in connection with the world- either as a

part of it, or as the cause of it-an absolutely necessary being.



                          PROOF.



  The world of sense, as the sum total of all phenomena, contains a

series of changes. For, without such a series, the mental

representation of the series of time itself, as the condition of the

possibility of the sensuous world, could not be presented to us.*

But every change stands under its condition, which precedes it in time

and renders it necessary. Now the existence of a given condition

presupposes a complete series of conditions up to the absolutely

unconditioned, which alone is absolutely necessary. It follows that

something that is absolutely necessary must exist, if change exists as

its consequence. But this necessary thing itself belongs to the

sensuous world. For suppose it to exist out of and apart from it,

the series of cosmical changes would receive from it a beginning,

and yet this necessary cause would not itself belong to the world of

sense. But this is impossible. For, as the beginning of a series in

time is determined only by that which precedes it in time, the supreme

condition of the beginning of a series of changes must exist in the

time in which this series itself did not exist; for a beginning

supposes a time preceding, in which the thing that begins to be was

not in existence. The causality of the necessary cause of changes, and

consequently the cause itself, must for these reasons belong to

time- and to phenomena, time being possible only as the form of

phenomena. Consequently, it cannot be cogitated as separated from

the world of sense- the sum total of all phenomena. There is,

therefore, contained in the world, something that is absolutely

necessary- whether it be the whole cosmical series itself, or only a

part of it.



  *Objectively, time, as the formal condition of the possibility of

change, precedes all changes; but subjectively, and in

consciousness, the representation of time, like every other, is

given solely by occasion of perception.



                         ANTITHESIS.



  An absolutely necessary being does not exist, either in the world,

or out of it- as its cause.



                           PROOF.



  Grant that either the world itself is necessary, or that there is

contained in it a necessary existence. Two cases are possible.

First, there must either be in the series of cosmical changes a

beginning, which is unconditionally necessary, and therefore uncaused-

which is at variance with the dynamical law of the determination of

all phenomena in time; or, secondly, the series itself is without

beginning, and, although contingent and conditioned in all its

parts, is nevertheless absolutely necessary and unconditioned as a

whole- which is self-contradictory. For the existence of an

aggregate cannot be necessary, if no single part of it possesses

necessary existence.

  Grant, on the other band, that an absolutely necessary cause

exists out of and apart from the world. This cause, as the highest

member in the series of the causes of cosmical changes, must originate

or begin* the existence of the latter and their series. In this case

it must also begin to act, and its causality would therefore belong to

time, and consequently to the sum total of phenomena, that is, to

the world. It follows that the cause cannot be out of the world; which

is contradictory to the hypothesis. Therefore, neither in the world,

nor out of it (but in causal connection with it), does there exist any

absolutely necessary being.



  *The word begin is taken in two senses. The first is active- the

cause being regarded as beginning a series of conditions as its effect

(infit). The second is passive- the causality in the cause itself

beginning to operate (fit). I reason here from the first to the

second.





             OBSERVATIONS ON THE FOURTH ANTINOMY.



                      ON THE THESIS.



  To demonstrate the existence of a necessary being, I cannot be

permitted in this place to employ any other than the cosmological

argument, which ascends from the conditioned in phenomena to the

unconditioned in conception- the unconditioned being considered the

necessary condition of the absolute totality of the series. The proof,

from the mere idea of a supreme being, belongs to another principle of

reason and requires separate discussion.

  The pure cosmological proof demonstrates the existence of a

necessary being, but at the same time leaves it quite unsettled,

whether this being is the world itself, or quite distinct from it.

To establish the truth of the latter view, principles are requisite,

which are not cosmological and do not proceed in the series of

phenomena. We should require to introduce into our proof conceptions

of contingent beings- regarded merely as objects of the understanding,

and also a principle which enables us to connect these, by means of

mere conceptions, with a necessary being. But the proper place for all

such arguments is a transcendent philosophy, which has unhappily not

yet been established.

  But, if we begin our proof cosmologically, by laying at the

foundation of it the series of phenomena, and the regress in it

according to empirical laws of causality, we are not at liberty to

break off from this mode of demonstration and to pass over to

something which is not itself a member of the series. The condition

must be taken in exactly the same signification as the relation of the

conditioned to its condition in the series has been taken, for the

series must conduct us in an unbroken regress to this supreme

condition. But if this relation is sensuous, and belongs to the

possible empirical employment of understanding, the supreme

condition or cause must close the regressive series according to the

laws of sensibility and consequently, must belong to the series of

time. It follows that this necessary existence must be regarded as the

highest member of the cosmical series.

  Certain philosophers have, nevertheless, allowed themselves the

liberty of making such a saltus (metabasis eis allo gonos). From the

changes in the world they have concluded their empirical

contingency, that is, their dependence on empirically-determined

causes, and they thus admitted an ascending series of empirical

conditions: and in this they are quite right. But as they could not

find in this series any primal beginning or any highest member, they

passed suddenly from the empirical conception of contingency to the

pure category, which presents us with a series- not sensuous, but

intellectual- whose completeness does certainly rest upon the

existence of an absolutely necessary cause. Nay, more, this

intellectual series is not tied to any sensuous conditions; and is

therefore free from the condition of time, which requires it

spontaneously to begin its causality in time. But such a procedure

is perfectly inadmissible, as will be made plain from what follows.

  In the pure sense of the categories, that is contingent the

contradictory opposite of which is possible. Now we cannot reason from

empirical contingency to intellectual. The opposite of that which is

changed- the opposite of its state- is actual at another time, and

is therefore possible. Consequently, it is not the contradictory

opposite of the former state. To be that, it is necessary that, in the

same time in which the preceding state existed, its opposite could

have existed in its place; but such a cognition is not given us in the

mere phenomenon of change. A body that was in motion = A, comes into a

state of rest = non-A. Now it cannot be concluded from the fact that a

state opposite to the state A follows it, that the contradictory

opposite of A is possible; and that A is therefore contingent. To

prove this, we should require to know that the state of rest could

have existed in the very same time in which the motion took place. Now

we know nothing more than that the state of rest was actual in the

time that followed the state of motion; consequently, that it was also

possible. But motion at one time, and rest at another time, are not

contradictorily opposed to each other. It follows from what has been

said that the succession of opposite determinations, that is,

change, does not demonstrate the fact of contingency as represented in

the conceptions of the pure understanding; and that it cannot,

therefore, conduct us to the fact of the existence of a necessary

being. Change proves merely empirical contingency, that is to say,

that the new state could not have existed without a cause, which

belongs to the preceding time. This cause- even although it is

regarded as absolutely necessary- must be presented to us in time, and

must belong to the series of phenomena.



                       ON THE ANTITHESIS.



  The difficulties which meet us, in our attempt to rise through the

series of phenomena to the existence of an absolutely necessary

supreme cause, must not originate from our inability to establish

the truth of our mere conceptions of the necessary existence of a

thing. That is to say, our objections not be ontological, but must

be directed against the causal connection with a series of phenomena

of a condition which is itself unconditioned. In one word, they must

be cosmological and relate to empirical laws. We must show that the

regress in the series of causes (in the world of sense) cannot

conclude with an empirically unconditioned condition, and that the

cosmological argument from the contingency of the cosmical state- a

contingency alleged to arise from change- does not justify us in

accepting a first cause, that is, a prime originator of the cosmical

series.

  The reader will observe in this antinomy a very remarkable contrast.

The very same grounds of proof which established in the thesis the

existence of a supreme being, demonstrated in the antithesis- and with

equal strictness- the non-existence of such a being. We found,

first, that a necessary being exists, because the whole time past

contains the series of all conditions, and with it, therefore, the

unconditioned (the necessary); secondly, that there does not exist any

necessary being, for the same reason, that the whole time past

contains the series of all conditions- which are themselves,

therefore, in the aggregate, conditioned. The cause of this seeming

incongruity is as follows. We attend, in the first argument, solely to

the absolute totality of the series of conditions, the one of which

determines the other in time, and thus arrive at a necessary

unconditioned. In the second, we consider, on the contrary, the

contingency of everything that is determined in the series of time-

for every event is preceded by a time, in which the condition itself

must be determined as conditioned- and thus everything that is

unconditioned or absolutely necessary disappears. In both, the mode of

proof is quite in accordance with the common procedure of human

reason, which often falls into discord with itself, from considering

an object from two different points of view. Herr von Mairan

regarded the controversy between two celebrated astronomers, which

arose from a similar difficulty as to the choice of a proper

standpoint, as a phenomenon of sufficient importance to warrant a

separate treatise on the subject. The one concluded: the moon revolves

on its own axis, because it constantly presents the same side to the

earth; the other declared that the moon does not revolve on its own

axis, for the same reason. Both conclusions were perfectly correct,

according to the point of view from which the motions of the moon were

considered.

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This World Wide Web document is a personal research project motivated by the following claim: "Truth is the object of Knowledge of whatever kind; and when we inquire what is meant by Truth, I suppose it is right to answer that Truth means facts and their relations, which stand towards each other pretty much as subjects and predicates in logic. All that exists, as contemplated by the human mind, forms one large system or complex fact, and this of course resolves itself into an indefinite number of particular facts, which, as being portions of a whole, have countless relations of every kind, one towards another." (The Idea of a University, John Henry Newman, 1801-1890)


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