Qal wa- omer and Theory of Massive-Parallel Proofs

History and Philosophy of Logic 32 (1):71-83 (2011)
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Abstract

In this article, the author attempts to explicate the notion of the best known Talmudic inference rule called qal wa- omer. He claims that this rule assumes a massive-parallel deduction, and for formalizing it, he builds up a case of massive-parallel proof theory, the proof-theoretic cellular automata, where he draws conclusions without using axioms

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The Liar: An Essay on Truth and Circularity.Jon Barwise & John Etchemendy - 1987 - Oxford, England and New York, NY, USA: Oxford University Press USA. Edited by John Etchemendy.
Sur le platonisme dans les mathématiques.Paul Bernays - 1935 - L’Enseignement Mathematique 34:52--69.
Non-Well-Founded Sets.Peter Aczel - 1988 - Palo Alto, CA, USA: Csli Lecture Notes.
The Liar.J. Barwise & J. Etchemendy - 1990 - Studia Logica 49 (3):426-427.

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