Logical Cornestones of Judaic Argumentation Theory

Argumentation 27 (3):305-326 (2013)
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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

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References found in this work

Non-Well-Founded Sets.Peter Aczel - 1988 - Palo Alto, CA, USA: Csli Lecture Notes.
Obligations and prohibitions in Talmudic deontic logic.M. Abraham, D. M. Gabbay & U. Schild - 2011 - Artificial Intelligence and Law 19 (2-3):117-148.
Preface.Andrew Schumann - 2011 - History and Philosophy of Logic 32 (1):1-8.
Non-well-foundedness in Judaic Logic.Andrew Schumann - 2008 - Studies in Logic, Grammar and Rhetoric 13 (26).

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