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第102章

the critique of pure reason-第102章

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correction of our judgements on these subjects of thought。



     SECTION VIII。 Regulative Principle of Pure Reason in relation

                   to the Cosmological Ideas。



  The cosmological principle of totality could not give us any certain

knowledge in regard to the maximum in the series of conditions in

the world of sense; considered as a thing in itself。 The actual

regress in the series is the only means of approaching this maximum。

This principle of pure reason; therefore; may still be considered as

valid… not as an axiom enabling us to cogitate totality in the

object as actual; but as a problem for the understanding; which

requires it to institute and to continue; in conformity with the

idea of totality in the mind; the regress in the series of the

conditions of a given conditioned。 For in the world of sense; that is;

in space and time; every condition which we discover in our

investigation of phenomena is itself conditioned; because sensuous

objects are not things in themselves (in which case an absolutely

unconditioned might be reached in the progress of cognition); but

are merely empirical representations the conditions of which must

always be found in intuition。 The principle of reason is therefore

properly a mere rule… prescribing a regress in the series of

conditions for given phenomena; and prohibiting any pause or rest on

an absolutely unconditioned。 It is; therefore; not a principle of

the possibility of experience or of the empirical cognition of

sensuous objects… consequently not a principle of the understanding;

for every experience is confined within certain proper limits

determined by the given intuition。 Still less is it a constitutive

principle of reason authorizing us to extend our conception of the

sensuous world beyond all possible experience。 It is merely a

principle for the enlargement and extension of experience as far as is

possible for human faculties。 It forbids us to consider any

empirical limits as absolute。 It is; hence; a principle of reason;

which; as a rule; dictates how we ought to proceed in our empirical

regress; but is unable to anticipate or indicate prior to the

empirical regress what is given in the object itself。 I have termed it

for this reason a regulative principle of reason; while the

principle of the absolute totality of the series of conditions; as

existing in itself and given in the object; is a constitutive

cosmological principle。 This distinction will at once demonstrate

the falsehood of the constitutive principle; and prevent us from

attributing (by a transcendental subreptio) objective reality to an

idea; which is valid only as a rule。

  In order to understand the proper meaning of this rule of pure

reason; we must notice first that it cannot tell us what the object

is; but only how the empirical regress is to be proceeded with in

order to attain to the complete conception of the object。 If it gave

us any information in respect to the former statement; it would be a

constitutive principle… a principle impossible from the nature of pure

reason。 It will not therefore enable us to establish any such

conclusions as: 〃The series of conditions for a given conditioned is

in itself finite。〃 or; 〃It is infinite。〃 For; in this case; we

should be cogitating in the mere idea of absolute totality; an

object which is not and cannot be given in experience; inasmuch as

we should be attributing a reality objective and independent of the

empirical synthesis; to a series of phenomena。 This idea of reason

cannot then be regarded as valid… except as a rule for the

regressive synthesis in the series of conditions; according to which

we must proceed from the conditioned; through all intermediate and

subordinate conditions; up to the unconditioned; although this goal is

unattained and unattainable。 For the absolutely unconditioned cannot

be discovered in the sphere of experience。

  We now proceed to determine clearly our notion of a synthesis

which can never be complete。 There are two terms commonly employed for

this purpose。 These terms are regarded as expressions of different and

distinguishable notions; although the ground of the distinction has

never been clearly exposed。 The term employed by the mathematicians is

progressus in infinitum。 The philosophers prefer the expression

progressus in indefinitum。 Without detaining the reader with an

examination of the reasons for such a distinction; or with remarks

on the right or wrong use of the terms; I shall endeavour clearly to

determine these conceptions; so far as is necessary for the purpose in

this Critique。

  We may; with propriety; say of a straight line; that it may be

produced to infinity。 In this case the distinction between a

progressus in infinitum and a progressus in indefinitum is a mere

piece of subtlety。 For; although when we say; 〃Produce a straight

line;〃 it is more correct to say in indefinitum than in infinitum;

because the former means; 〃Produce it as far as you please;〃 the

second; 〃You must not cease to produce it〃; the expression in

infinitum is; when we are speaking of the power to do it; perfectly

correct; for we can always make it longer if we please… on to

infinity。 And this remark holds good in all cases; when we speak of

a progressus; that is; an advancement from the condition to the

conditioned; this possible advancement always proceeds to infinity。 We

may proceed from a given pair in the descending line of generation

from father to son; and cogitate a never…ending line of descendants

from it。 For in such a case reason does not demand absolute totality

in the series; because it does not presuppose it as a condition and as

given (datum); but merely as conditioned; and as capable of being

given (dabile)。

  Very different is the case with the problem: 〃How far the regress;

which ascends from the given conditioned to the conditions; must

extend〃; whether I can say: 〃It is a regress in infinitum;〃 or only

〃in indefinitum〃; and whether; for example; setting out from the human

beings at present alive in the world; I may ascend in the series of

their ancestors; in infinitum… mr whether all that can be said is;

that so far as I have proceeded; I have discovered no empirical ground

for considering the series limited; so that I am justified; and

indeed; compelled to search for ancestors still further back; although

I am not obliged by the idea of reason to presuppose them。

  My answer to this question is: 〃If the series is given in

empirical intuition as a whole; the regress in the series of its

internal conditions proceeds in infinitum; but; if only one member

of the series is given; from which the regress is to proceed to

absolute totality; the regress is possible only in indefinitum。〃 For

example; the division of a portion of matter given within certain

limits… of a body; that is… proceeds in infinitum。 For; as the

condition of this whole is its part; and the condition of the part a

part of the part; and so on; and as in this regress of decomposition

an unconditioned indivisible member of the series of conditions is not

to be found; there are no reasons or grounds in experience for

stopping in the division; but; on the contrary; the more remote

members of the division are actually and empirically given prior to

this division。 That is to say; the division proceeds to infinity。 On

the other hand; the series of ancestors of any given human being is

not given; in its absolute totality; in any experience; and yet the

regress proceeds from every genealogical member of this series to

one still higher; and does not meet with any empirical limit

presenting an absolutely unconditioned member of the series。 But as

the members of such a series are not contained in the empirical

intuition of the whole; prior to the regress; this regress does not

proceed to infinity; but only in indefinitum; that is; we are called

upon to discover other and higher members; which are themselves al

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