Qal wa- omer and Theory of Massive-Parallel Proofs

History and Philosophy of Logic 32 (1):71-83 (2011)
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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DOI 10.1080/01445340.2010.506104
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Andrew Schumann (2008). Non-Archimedean Fuzzy and Probability Logic. Journal of Applied Non-Classical Logics 18 (1):29-48.

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