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posterior analytics-第26章

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though these later events actually have their source of origin in



previous eventsa fact which shows that also when the effect is



coming…to…be we still reason from the posterior event); and from the



event we cannot reason (we cannot argue that because an event A has



occurred; therefore an event B has occurred subsequently to A but



still in the past…and the same holds good if the occurrence is



future)…cannot reason because; be the time interval definite or



indefinite; it will never be possible to infer that because it is true



to say that A occurred; therefore it is true to say that B; the



subsequent event; occurred; for in the interval between the events;



though A has already occurred; the latter statement will be false。 And



the same argument applies also to future events; i。e。 one cannot infer



from an event which occurred in the past that a future event will



occur。 The reason of this is that the middle must be homogeneous; past



when the extremes are past; future when they are future; coming to



be when they are coming…to…be; actually existent when they are



actually existent; and there cannot be a middle term homogeneous



with extremes respectively past and future。 And it is a further



difficulty in this theory that the time interval can be neither



indefinite nor definite; since during it the inference will be



false。 We have also to inquire what it is that holds events together



so that the coming…to…be now occurring in actual things follows upon a



past event。 It is evident; we may suggest; that a past event and a



present process cannot be 'contiguous'; for not even two past events



can be 'contiguous'。 For past events are limits and atomic; so just as



points are not 'contiguous' neither are past events; since both are



indivisible。 For the same reason a past event and a present process



cannot be 'contiguous'; for the process is divisible; the event



indivisible。 Thus the relation of present process to past event is



analogous to that of line to point; since a process contains an



infinity of past events。 These questions; however; must receive a more



explicit treatment in our general theory of change。



  The following must suffice as an account of the manner in which



the middle would be identical with the cause on the supposition that



coming…to…be is a series of consecutive events: for in the terms of



such a series too the middle and major terms must form an immediate



premiss; e。g。 we argue that; since C has occurred; therefore A



occurred: and C's occurrence was posterior; A's prior; but C is the



source of the inference because it is nearer to the present moment;



and the starting…point of time is the present。 We next argue that;



since D has occurred; therefore C occurred。 Then we conclude that;



since D has occurred; therefore A must have occurred; and the cause is



C; for since D has occurred C must have occurred; and since C has



occurred A must previously have occurred。



  If we get our middle term in this way; will the series terminate



in an immediate premiss; or since; as we said; no two events are



'contiguous'; will a fresh middle term always intervene because



there is an infinity of middles? No: though no two events are



'contiguous'; yet we must start from a premiss consisting of a



middle and the present event as major。 The like is true of future



events too; since if it is true to say that D will exist; it must be a



prior truth to say that A will exist; and the cause of this conclusion



is C; for if D will exist; C will exist prior to D; and if C will



exist; A will exist prior to it。 And here too the same infinite



divisibility might be urged; since future events are not 'contiguous'。



But here too an immediate basic premiss must be assumed。 And in the



world of fact this is so: if a house has been built; then blocks



must have been quarried and shaped。 The reason is that a house



having been built necessitates a foundation having been laid; and if a



foundation has been laid blocks must have been shaped beforehand。



Again; if a house will be built; blocks will similarly be shaped



beforehand; and proof is through the middle in the same way; for the



foundation will exist before the house。



  Now we observe in Nature a certain kind of circular process of



coming…to…be; and this is possible only if the middle and extreme



terms are reciprocal; since conversion is conditioned by reciprocity



in the terms of the proof。 This…the convertibility of conclusions



and premisses…has been proved in our early chapters; and the



circular process is an instance of this。 In actual fact it is



exemplified thus: when the earth had been moistened an exhalation



was bound to rise; and when an exhalation had risen cloud was bound to



form; and from the formation of cloud rain necessarily resulted and by



the fall of rain the earth was necessarily moistened: but this was the



starting…point; so that a circle is completed; for posit any one of



the terms and another follows from it; and from that another; and from



that again the first。



  Some occurrences are universal (for they are; or come…to…be what



they are; always and in ever case); others again are not always what



they are but only as a general rule: for instance; not every man can



grow a beard; but it is the general rule。 In the case of such



connexions the middle term too must be a general rule。 For if A is



predicated universally of B and B of C; A too must be predicated



always and in every instance of C; since to hold in every instance and



always is of the nature of the universal。 But we have assumed a



connexion which is a general rule; consequently the middle term B must



also be a general rule。 So connexions which embody a general rule…i。e。



which exist or come to be as a general rule…will also derive from



immediate basic premisses。



                                13







  We have already explained how essential nature is set out in the



terms of a demonstration; and the sense in which it is or is not



demonstrable or definable; so let us now discuss the method to be



adopted in tracing the elements predicated as constituting the



definable form。



  Now of the attributes which inhere always in each several thing



there are some which are wider in extent than it but not wider than



its genus (by attributes of wider extent mean all such as are



universal attributes of each several subject; but in their application



are not confined to that subject)。 while an attribute may inhere in



every triad; yet also in a subject not a triad…as being inheres in



triad but also in subjects not numbers at all…odd on the other hand is



an attribute inh
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