Qal wa-[image omitted]omer and Theory of Massive-Parallel Proofs

Author: Schumann Andrew  

Publisher: Taylor & Francis Ltd

ISSN: 1464-5149

Source: History and Philosophy of Logic, Vol.32, Iss.1, 2011-02, pp. : 71-83

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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-[image omitted]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.