Logical Cornestones of Judaic Argumentation Theory

Andrew Schumann Warsaw Academy of Computer Science, Management and Administration

Abstract

In this paper, the four Judaic inference rules: qal wa- ḥ omer, gezerah š awah, heqe š, binyan 'av are considered from the logical point of view and the pragmatic limits of applying these rules are symbolic-logically explicated. According to the Talmudic sages, on the one hand, after applying some inference rules we cannot apply other inference rules. These rules are weak. On the other hand, there are rules after which we can apply any other. These rules are strong. This means that Judaic inference rules have different pragmatic meanings and this fact differs Judaic logic from other ones. The Judaic argumentation theory built up on Judaic logic also contains pragmatic limits for proofs as competitive communication when different Rabbis claim different opinions in respect to the same subject. In order to define these limits we build up a special kind of syllogistics, the so-called Judaic pragmatic-syllogistics, where it is defined whose opinion should be choosen in a dispute.

Journal
Argumentation
Published
2013-08-01
DOI
10.1007/s10503-012-9273-8
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Also cites 6 works outside this index ↓
  1. Abraham, M., D. Gabbay, and U. Schild. 2009. Analysis of the talmudic argumentation a fortiori inference rule…
    Studia Logica  
  2. Abraham, M., D. Gabbay, and U. Schild. 2010. Obligations and prohibitions in talmudic deontic logic. In Deon …
  3. Jacobs, L. 1984. The Talmudic argument: A study in Talmudic reasoning and methodology. Cambridge: Cambridge U…
  4. Schumann, A. (ed.) 2010. Judaic logic. Piscataway, NJ: Gorgias Press.
  5. Schumann, A. 2011a. Qal Wa-Homer and the theory of massive-parallel proofs. History and Philosophy of Logic 3…
    History and Philosophy of Logic  
  6. Schumann, A. (ed.) 2011b. Modern review of Judaic logic. Special issue of History and Philosophy of Logic, 32(1).