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第139章

the critique of pure reason-第139章

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for the synthesis of that which may be contained in the

corresponding a posteriori perception; it is utterly inadequate to

present an a priori intuition of the real object; which must

necessarily be empirical。

  Synthetical propositions; which relate to things in general; an a

priori intuition of which is impossible; are transcendental。 For

this reason transcendental propositions cannot be framed by means of

the construction of conceptions; they are a priori; and based entirely

on conceptions themselves。 They contain merely the rule; by which we

are to seek in the world of perception or experience the synthetical

unity of that which cannot be intuited a priori。 But they are

incompetent to present any of the conceptions which appear in them

in an a priori intuition; these can be given only a posteriori; in

experience; which; however; is itself possible only through these

synthetical principles。

  If we are to form a synthetical judgement regarding a conception; we

must go beyond it; to the intuition in which it is given。 If we keep

to what is contained in the conception; the judgement is merely

analytical… it is merely an explanation of what we have cogitated in

the conception。 But I can pass from the conception to the pure or

empirical intuition which corresponds to it。 I can proceed to

examine my conception in concreto; and to cognize; either a priori

or a posterio; what I find in the object of the conception。 The

former… a priori cognition… is rational…mathematical cognition by

means of the construction of the conception; the latter… a

posteriori cognition… is purely empirical cognition; which does not

possess the attributes of necessity and universality。 Thus I may

analyse the conception I have of gold; but I gain no new information

from this analysis; I merely enumerate the different properties

which I had connected with the notion indicated by the word。 My

knowledge has gained in logical clearness and arrangement; but no

addition has been made to it。 But if I take the matter which is

indicated by this name; and submit it to the examination of my senses;

I am enabled to form several synthetical… although still empirical…

propositions。 The mathematical conception of a triangle I should

construct; that is; present a priori in intuition; and in this way

attain to rational…synthetical cognition。 But when the

transcendental conception of reality; or substance; or power is

presented to my mind; I find that it does not relate to or indicate

either an empirical or pure intuition; but that it indicates merely

the synthesis of empirical intuitions; which cannot of course be given

a priori。 The synthesis in such a conception cannot proceed a

priori… without the aid of experience… to the intuition which

corresponds to the conception; and; for this reason; none of these

conceptions can produce a determinative synthetical proposition;

they can never present more than a principle of the synthesis* of

possible empirical intuitions。 A transcendental proposition is;

therefore; a synthetical cognition of reason by means of pure

conceptions and the discursive method; and it renders possible all

synthetical unity in empirical cognition; though it cannot present

us with any intuition a priori。



  *In the case of the conception of cause; I do really go beyond the

empirical conception of an event… but not to the intuition which

presents this conception in concreto; but only to the time…conditions;

which may be found in experience to correspond to the conception。 My

procedure is; therefore; strictly according to conceptions; I cannot

in a case of this kind employ the construction of conceptions; because

the conception is merely a rule for the synthesis of perceptions;

which are not pure intuitions; and which; therefore; cannot be given a

priori。



  There is thus a twofold exercise of reason。 Both modes have the

properties of universality and an a priori origin in common; but

are; in their procedure; of widely different character。 The reason

of this is that in the world of phenomena; in which alone objects

are presented to our minds; there are two main elements… the form of

intuition (space and time); which can be cognized and determined

completely a priori; and the matter or content… that which is

presented in space and time; and which; consequently; contains a

something… an existence corresponding to our powers of sensation。 As

regards the latter; which can never be given in a determinate mode

except by experience; there are no a priori notions which relate to

it; except the undetermined conceptions of the synthesis of possible

sensations; in so far as these belong (in a possible experience) to

the unity of consciousness。 As regards the former; we can determine

our conceptions a priori in intuition; inasmuch as we are ourselves

the creators of the objects of the conceptions in space and time…

these objects being regarded simply as quanta。 In the one case; reason

proceeds according to conceptions and can do nothing more than subject

phenomena to these… which can only be determined empirically; that is;

a posteriori… in conformity; however; with those conceptions as the

rules of all empirical synthesis。 In the other case; reason proceeds

by the construction of conceptions; and; as these conceptions relate

to an a priori intuition; they may be given and determined in pure

intuition a priori; and without the aid of empirical data。 The

examination and consideration of everything that exists in space or

time… whether it is a quantum or not; in how far the particular

something (which fills space or time) is a primary substratum; or a

mere determination of some other existence; whether it relates to

anything else… either as cause or effect; whether its existence is

isolated or in reciprocal connection with and dependence upon

others; the possibility of this existence; its reality and necessity

or opposites… all these form part of the cognition of reason on the

ground of conceptions; and this cognition is termed philosophical。 But

to determine a priori an intuition in space (its figure); to divide

time into periods; or merely to cognize the quantity of an intuition

in space and time; and to determine it by number… all this is an

operation of reason by means of the construction of conceptions; and

is called mathematical。

  The success which attends the efforts of reason in the sphere of

mathematics naturally fosters the expectation that the same good

fortune will be its lot; if it applies the mathematical method in

other regions of mental endeavour besides that of quantities。 Its

success is thus great; because it can support all its conceptions by a

priori intuitions and; in this way; make itself a master; as it

were; over nature; while pure philosophy; with its a priori discursive

conceptions; bungles about in the world of nature; and cannot accredit

or show any a priori evidence of the reality of these conceptions。

Masters in the science of mathematics are confident of the success

of this method; indeed; it is a common persuasion that it is capable

of being applied to any subject of human thought。 They have hardly

ever reflected or philosophized on their favourite science… a task

of great difficulty; and the specific difference between the two modes

of employing the faculty of reason has never entered their thoughts。

Rules current in the field of common experience; and which common

sense stamps everywhere with its approval; are regarded by them as

axiomatic。 From what source the conceptions of space and time; with

which (as the only primitive quanta) they have to deal; enter their

minds; is a question which they do not trouble themselves to answer;

and they think it just as unnecessary to examine into the origin of

the pure conceptions of the understanding and the extent of their

validity。 All they have to do with them is to employ them。 In all this

they are perfectly right; if they do not overstep

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