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the critique of pure reason-第118章

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condition to condition; in order to discover; in conformity with the

rule of reason; a full and correct answer to the questions proposed by

reason itself。

  This principle of reason is hence valid only as a rule for the

extension of a possible experience… its invalidity as a principle

constitutive of phenomena in themselves having been sufficiently

demonstrated。 And thus; too; the antinomial conflict of reason with

itself is completely put an end to; inasmuch as we have not only

presented a critical solution of the fallacy lurking in the opposite

statements of reason; but have shown the true meaning of the ideas

which gave rise to these statements。 The dialectical principle of

reason has; therefore; been changed into a doctrinal principle。 But in

fact; if this principle; in the subjective signification which we have

shown to be its only true sense; may be guaranteed as a principle of

the unceasing extension of the employment of our understanding; its

influence and value are just as great as if it were an axiom for the a

priori determination of objects。 For such an axiom could not exert a

stronger influence on the extension and rectification of our

knowledge; otherwise than by procuring for the principles of the

understanding the most widely expanded employment in the field of

experience。



  I。 Solution of the Cosmological Idea of the Totality of the

          Composition of Phenomena in the Universe。



  Here; as well as in the case of the other cosmological problems; the

ground of the regulative principle of reason is the proposition that

in our empirical regress no experience of an absolute limit; and

consequently no experience of a condition; which is itself

absolutely unconditioned; is discoverable。 And the truth of this

proposition itself rests upon the consideration that such an

experience must represent to us phenomena as limited by nothing or the

mere void; on which our continued regress by means of perception

must abut… which is impossible。

  Now this proposition; which declares that every condition attained

in the empirical regress must itself be considered empirically

conditioned; contains the rule in terminis; which requires me; to

whatever extent I may have proceeded in the ascending series; always

to look for some higher member in the series… whether this member is

to become known to me through experience; or not。

  Nothing further is necessary; then; for the solution of the first

cosmological problem; than to decide; whether; in the regress to the

unconditioned quantity of the universe (as regards space and time);

this never limited ascent ought to be called a regressus in

infinitum or indefinitum。

  The general representation which we form in our minds of the

series of all past states or conditions of the world; or of all the

things which at present exist in it; is itself nothing more than a

possible empirical regress; which is cogitated… although in an

undetermined manner… in the mind; and which gives rise to the

conception of a series of conditions for a given object。* Now I have a

conception of the universe; but not an intuition… that is; not an

intuition of it as a whole。 Thus I cannot infer the magnitude of the

regress from the quantity or magnitude of the world; and determine the

former by means of the latter; on the contrary; I must first of all

form a conception of the quantity or magnitude of the world from the

magnitude of the empirical regress。 But of this regress I know nothing

more than that I ought to proceed from every given member of the

series of conditions to one still higher。 But the quantity of the

universe is not thereby determined; and we cannot affirm that this

regress proceeds in infinitum。 Such an affirmation would anticipate

the members of the series which have not yet been reached; and

represent the number of them as beyond the grasp of any empirical

synthesis; it would consequently determine the cosmical quantity prior

to the regress (although only in a negative manner)… which is

impossible。 For the world is not given in its totality in any

intuition: consequently; its quantity cannot be given prior to the

regress。 It follows that we are unable to make any declaration

respecting the cosmical quantity in itself… not even that the

regress in it is a regress in infinitum; we must only endeavour to

attain to a conception of the quantity of the universe; in

conformity with the rule which determines the empirical regress in it。

But this rule merely requires us never to admit an absolute limit to

our series… how far soever we may have proceeded in it; but always; on

the contrary; to subordinate every phenomenon to some other as its

condition; and consequently to proceed to this higher phenomenon。 Such

a regress is; therefore; the regressus in indefinitum; which; as not

determining a quantity in the object; is clearly distinguishable

from the regressus in infinitum。



  *The cosmical series can neither be greater nor smaller than the

possible empirical regress; upon which its conception is based。 And as

this regress cannot be a determinate infinite regress; still less a

determinate finite (absolutely limited); it is evident that we

cannot regard the world as either finite or infinite; because the

regress; which gives us the representation of the world; is neither

finite nor infinite。



  It follows from what we have said that we are not justified in

declaring the world to be infinite in space; or as regards past

time。 For this conception of an infinite given quantity is

empirical; but we cannot apply the conception of an infinite

quantity to the world as an object of the senses。 I cannot say; 〃The

regress from a given perception to everything limited either in

space or time; proceeds in infinitum;〃 for this presupposes an

infinite cosmical quantity; neither can I say; 〃It is finite;〃 for

an absolute limit is likewise impossible in experience。 It follows

that I am not entitled to make any assertion at all respecting the

whole object of experience… the world of sense; I must limit my

declarations to the rule according to which experience or empirical

knowledge is to be attained。

  To the question; therefore; respecting the cosmical quantity; the

first and negative answer is: 〃The world has no beginning in time; and

no absolute limit in space。〃

  For; in the contrary case; it would be limited by a void time on the

one hand; and by a void space on the other。 Now; since the world; as a

phenomenon; cannot be thus limited in itself for a phenomenon is not a

thing in itself; it must be possible for us to have a perception of

this limitation by a void time and a void space。 But such a

perception… such an experience is impossible; because it has no

content。 Consequently; an absolute cosmical limit is empirically;

and therefore absolutely; impossible。*



  *The reader will remark that the proof presented above is very

different from the dogmatical demonstration given in th
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