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Main trends of research in the social and human ... - unesdoc - Unesco

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General problems <strong>of</strong> <strong>in</strong>terdiscipl<strong>in</strong>ary <strong>research</strong> <strong>and</strong> common mechanisms 489<br />

epistemology <strong>of</strong> logic can a fortiori be placed <strong>in</strong> relation with cybernetics by a<br />

double movement similar to that just referred to, which we may cite with T.<br />

Greniewski, an expert <strong>in</strong> connexions between logic <strong>and</strong> cybernetics.<br />

As to exchanges between logic <strong>and</strong> l<strong>in</strong>guistics, we shall come to <strong>the</strong>m when<br />

discuss<strong>in</strong>g <strong>the</strong> latter.<br />

8. Systems <strong>of</strong> non-deducible norms: sociology <strong>of</strong> law, etc.; customs <strong>and</strong> habit<br />

patterns<br />

Independently <strong>of</strong> <strong>the</strong> specific questions <strong>of</strong> legal logic which have been discussed,<br />

<strong>the</strong>re exists a major problem <strong>the</strong> importance <strong>of</strong> which has found expression <strong>in</strong><br />

several contemporary <strong>trends</strong> <strong>in</strong> a variety <strong>of</strong> discipl<strong>in</strong>es, namely that <strong>of</strong> <strong>the</strong> general<br />

structure <strong>of</strong> systems <strong>of</strong> norms. From this viewpo<strong>in</strong>t <strong>of</strong> overall structures, which<br />

is becom<strong>in</strong>g <strong>in</strong>creas<strong>in</strong>gly dom<strong>in</strong>ant, it is by no means sufficient to know that a<br />

particular legal reason<strong>in</strong>g can be put <strong>in</strong> logical form; this does not alter <strong>the</strong><br />

fact that a legal system <strong>in</strong> its total form <strong>in</strong> <strong>the</strong> sense employed by H. Kelsen<br />

(from <strong>the</strong> ‘fundamental norm’ <strong>and</strong> <strong>the</strong> constitution to <strong>in</strong>dividualised norms<br />

such as all court judgements, diplomas, etc.) is at <strong>the</strong> same time very close to a<br />

logical system <strong>and</strong> very different from it.<br />

The analogy is that <strong>in</strong> both cases <strong>the</strong>re exists a construct <strong>of</strong> normative values<br />

achieved by means <strong>of</strong> actions or operations, <strong>and</strong> that <strong>the</strong>se results are valid<br />

depend<strong>in</strong>g on a series <strong>of</strong> transitive implications. If such <strong>and</strong> such axioms are<br />

accepted, <strong>the</strong>n such <strong>and</strong> such <strong>the</strong>orems TI follow which lead to such <strong>and</strong> such<br />

o<strong>the</strong>r <strong>the</strong>orems T2, etc., accord<strong>in</strong>g to a series <strong>of</strong> implications placed <strong>in</strong> hierar-<br />

chical order. Thus if a constitution is accepted, <strong>the</strong>n parliament has <strong>the</strong> right<br />

to enact laws L which are valid by virtue <strong>of</strong> <strong>the</strong> constitutional norm; <strong>the</strong>n <strong>the</strong><br />

government has a right to take a decision D which is valid by virtue <strong>of</strong> <strong>the</strong> law<br />

L; <strong>the</strong>n such <strong>and</strong> such an <strong>of</strong>fice has <strong>the</strong> right to settle an <strong>in</strong>dividual case C <strong>in</strong> a<br />

valid manner by virtue <strong>of</strong> <strong>the</strong> governmental decree D, etc. This succession <strong>of</strong><br />

normative constructions (each norm be<strong>in</strong>g at <strong>the</strong> same time <strong>the</strong> application <strong>of</strong><br />

<strong>the</strong> previous one <strong>and</strong> <strong>the</strong> creation <strong>of</strong> <strong>the</strong> next one) is readily comparable to a<br />

series <strong>of</strong> implications, <strong>and</strong> Kelsen explicitly def<strong>in</strong>es this implicative relationship<br />

under <strong>the</strong> term <strong>of</strong> ‘imputation’ (central or peripheral depend<strong>in</strong>g on whe<strong>the</strong>r it<br />

qualifies <strong>the</strong> subjects <strong>of</strong> law or <strong>the</strong> implications alone).<br />

The great difference however is that if one knows <strong>the</strong> content <strong>of</strong> axioms, one<br />

can deduce <strong>the</strong> succeed<strong>in</strong>g <strong>the</strong>orems : <strong>the</strong>y were not, <strong>of</strong> course, tautologically<br />

pre-formed with<strong>in</strong> <strong>the</strong> axioms, s<strong>in</strong>ce <strong>the</strong>se axioms are <strong>in</strong>dependent one from<br />

ano<strong>the</strong>r, but <strong>the</strong> new comb<strong>in</strong>ations obta<strong>in</strong>ed are ‘necessary’ (<strong>the</strong>y could not<br />

have been o<strong>the</strong>r than <strong>the</strong>y are by virtue <strong>of</strong> <strong>the</strong> given operations). In <strong>the</strong> legal<br />

system, on <strong>the</strong> o<strong>the</strong>r h<strong>and</strong>, one merely knows that parliament cannot violate<br />

<strong>the</strong> constitution, but with<strong>in</strong> this framework it votes what it likes; <strong>in</strong> o<strong>the</strong>r words<br />

<strong>the</strong> constructive operations take place <strong>in</strong> a valid fashion as a function <strong>of</strong> transi-<br />

tive <strong>and</strong> necessary imputations, but <strong>the</strong>ir results rema<strong>in</strong> cont<strong>in</strong>gent because<br />

<strong>the</strong>y are not determ<strong>in</strong>ed by <strong>the</strong> form <strong>of</strong> <strong>the</strong>se operations, only <strong>the</strong>ir validities<br />

be<strong>in</strong>g so determ<strong>in</strong>ed to <strong>the</strong> extent that <strong>the</strong>y are not <strong>in</strong> contradiction with norms<br />

<strong>of</strong> a superior category.

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