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280 Jean Piaget<br />

<strong>the</strong> l<strong>in</strong>k with biology rema<strong>in</strong>s all-important). A solution sometimes advocated<br />

is that <strong>of</strong> <strong>in</strong>ter-faculty <strong>in</strong>stitutes, whereby ties are ma<strong>in</strong>ta<strong>in</strong>ed with science, <strong>social</strong><br />

science, medic<strong>in</strong>e <strong>and</strong> arts, but this would be a satisfactory solution only if such<br />

<strong>in</strong>stitutes were able to award degrees <strong>and</strong> doctorates <strong>in</strong> addition to special di-<br />

plomas, <strong>and</strong> if <strong>the</strong>y could enjoy <strong>the</strong> same autonomy as <strong>the</strong> faculties.<br />

NOTES<br />

I. No one could say, for <strong>in</strong>stance, that science itself is ‘never’ concerned with <strong>the</strong><br />

problem <strong>of</strong> freedom. All that can be said is that it is not concerned with it at<br />

present, though <strong>the</strong>re are some <strong>in</strong>dications that <strong>the</strong> position might change. We know, for example, that <strong>in</strong> logic <strong>and</strong> ma<strong>the</strong>matics a <strong>the</strong>ory <strong>of</strong> a given richness (as<br />

<strong>in</strong> elementary arithmetic) is not sufficient to show its own non-contradiction:<br />

employ<strong>in</strong>g only its own resources or lesser resources (logic), it cannot avoid meet<strong>in</strong>g<br />

unresolvable propositions that only richer resources (transf<strong>in</strong>ite arithmetic) can<br />

elucidate, but without be<strong>in</strong>g able to do so on <strong>the</strong>ir own account. This famous<br />

<strong>the</strong>orem, which we owe to Goedel, has recently been applied to mach<strong>in</strong>es simulat<strong>in</strong>g<br />

<strong>the</strong> processes <strong>of</strong> thought, <strong>and</strong> it was shown that a mach<strong>in</strong>e <strong>of</strong> which all <strong>the</strong> elements<br />

were clearly determ<strong>in</strong>ed, could not <strong>in</strong> a given state at time T entirely foresee<br />

its state at time T+ I (do do this, it must be subord<strong>in</strong>ated to a mach<strong>in</strong>e <strong>of</strong> a higher<br />

order, <strong>in</strong> turn not entirely determ<strong>in</strong>ed itself). The analogy <strong>of</strong> such problems with<br />

those <strong>of</strong> cont<strong>in</strong>gency <strong>and</strong> <strong>the</strong> degree <strong>of</strong> determ<strong>in</strong>ism is immediately discernible.<br />

2. G. Miller humourously wrote that he regarded himself as a ‘subjective behaviourst’.<br />

3. E. NAGEL, <strong>in</strong> B. B. WOLFMAN <strong>and</strong> E. NAGEL (eds.), Scientific Psychology, New<br />

York, Basic Books, 1965, pp. 26-27.<br />

4. R. CARNAP, <strong>in</strong> M<strong>in</strong>nesota Studies on <strong>the</strong> Philosophy <strong>of</strong> Sciences, 1956.<br />

5. R. VON MISES, Positivism, Cambridge, Harvard University Press, 1951, p. 236.<br />

6. N. CHOMSKY. <strong>in</strong> Language 35, 1959, pp. 26-58.<br />

7. We have found, for <strong>in</strong>stance, a law <strong>of</strong> maximum for certa<strong>in</strong> illusions, which are<br />

strongest when <strong>the</strong> time <strong>of</strong> exposure is approximately from I to z/Ioths <strong>of</strong> a second.<br />

8. It should be noted <strong>in</strong> particular that some writers (Burt, Cohen, etc.) doubt whe<strong>the</strong>r<br />

a causal explanation can be given for all cognitive processes. But <strong>the</strong> important<br />

boundary is that between seek<strong>in</strong>g for an explanation <strong>and</strong> refusal to expla<strong>in</strong>. Such<br />

refusal may be based ei<strong>the</strong>r on positivist reasons, or on <strong>the</strong> dist<strong>in</strong>ction between<br />

‘expla<strong>in</strong><strong>in</strong>g’ <strong>and</strong> ‘underst<strong>and</strong><strong>in</strong>g). but such a dist<strong>in</strong>ction is to some extent artificial,<br />

s<strong>in</strong>ce <strong>the</strong> two are no doubt <strong>in</strong>separable). In this sense, it can be considered that any<br />

explanation implies causality <strong>in</strong> some form or ano<strong>the</strong>r, with <strong>the</strong> two terms <strong>of</strong> explanation<br />

<strong>and</strong> causality thus <strong>in</strong> pr<strong>in</strong>ciple overlapp<strong>in</strong>g.<br />

9. See <strong>the</strong> ‘Introduction’, section 7, head<strong>in</strong>g 11.<br />

IO. And, <strong>of</strong> course, <strong>the</strong>re rema<strong>in</strong>s <strong>the</strong> problem <strong>of</strong> not exclusively cognitive matters<br />

(as, for example, expla<strong>in</strong><strong>in</strong>g how a poem takes shape). It is contemporary structuralism<br />

that seeks to f<strong>in</strong>d <strong>in</strong> <strong>the</strong> most affective regions (even <strong>in</strong> psychoanalysis) ‘structures’<br />

<strong>in</strong> <strong>the</strong> l<strong>in</strong>guistic sense, etc., which <strong>the</strong>n <strong>the</strong>mselves imply a certa<strong>in</strong> degree <strong>of</strong><br />

possible logicization (<strong>and</strong> we know that ‘logios’ can be differentiated <strong>in</strong> an <strong>in</strong>f<strong>in</strong>ite<br />

number <strong>of</strong> ways).<br />

11. These relations, be it noted, do not just <strong>in</strong>volve exploration <strong>in</strong> <strong>the</strong> sphere <strong>of</strong> neurophysiology,<br />

but today even touch on <strong>human</strong> genetics.<br />

12. K. LORENZ, ‘Uber die Entstehung von Mannigfaltigkeit’, Die Naturwissenschuften<br />

52, 19659 PP. 319-329.<br />

13. For an excellent summ<strong>in</strong>g <strong>of</strong> current knowledge, see <strong>the</strong> chapter by Joseph Nutt<strong>in</strong><br />

on motivation <strong>and</strong> <strong>the</strong> one by Paul Fraisse on <strong>the</strong> emotions <strong>in</strong> FRAISE <strong>and</strong> PIAGET,<br />

Trait6 de psychologie expirimentale, 2nd ed., Paris, PUF, 1963, Vol. V. pp. 1-82.<br />

14. The term ‘law’, which has been elaborated on several times recently, is used by

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