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Equivalence, recursive negation and invariance of the mathematical uncertainty predicate

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Author Info
Franco Birardi () (Dipartimento di Matematica per le Decisioni, Universita' degli Studi di Firenze)
Abstract

It is impossible to prove the equivalence of double negation for the Systeme I of Godel. It is possible to deduce the equivalence of double negation with a three valued logic which is coherent with respect to symmetric implication and has the third value as invariant by negation. It is possible to annihilate the third value and switch back to the two valued boundary logic. Brouwer and Godel provide the foundation for the theory of uncertainty.

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File URL: http://www.dmd.unifi.it/RePEc/flo/WorkingPapers/2009/DiMaDWP2009-07.pdf
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Publisher Info
Paper provided by Dipartimento di Matematica per le Decisioni, Universita' degli Studi di Firenze in its series DiMaD Working Papers with number 2009-07.

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Length: 20
Date of creation: Oct 2009
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Handle: RePEc:flo:wpaper:2009-07

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Keywords: formalism; intuitionism; uncertainty;

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This page was last updated on 2009-12-14.


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