Jaina Logic

Author(s): T G Kalghatgi
Publisher: Raja Krisen Jain Charitable Trust New Delhi

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Jaina Logic gave prominence to the study of Grammar, and Austin never endorsed Wittgenstein's speculations about the ultimate fate of philosophy.16 Wittgenstein's last statement, if metalogically interpreted, would lead us to the formulation of the Avaktavya concept in the Syadvada. The real activity of thought tends to fall outside the calculus of relations. In the Pragmatic logic we have logic of the type which is fundamentally psychological. It claims to cover the whole field of philosophy. A judgement is practical and not to be divorced with improper abstractions from the purpose and will that informs it. A concept is instrumental to an end beyond itself without any validity other than its values for action. The earlier symbolic logicians made little or no effort to deal with most propositions of every-day life, like - Brutus killed Ceaser; and Brutus and Ceaser were friends. The relations are complex and we have to accept the multi-faceted relational complex". Post demonstrated in 1920 that the Principia mathematica axiom system for the logic of statement connections has the property of consistency that it is complete in the sense that every true law of that logic may be got as a theorem in the system. Post's paper in 1920 gave an outline of his invention of an n-valued logic of statement connections, that is a logic in which not only the true values v (validity) and f (Falsehood) but any number of n values may be given to its statements. At the same time, the invention of a 3-valued logic was made by Lukasiewica, for example if the three values are v (true), f (false) and u (uncertain), then the definitions of the values of Ns ( ='not-s') and sCt ( = if s then t') are as in the table s -
153. Classics of Analytical Philosophy Edr. Robert R Ammerman
(McGraw Hill 1965 T M H Edn.) pp. 54. 154. Encyclopedia Britanica. Vol 14 Logic.