Symposium on Curtis Franks's Paper

Is Judaic logic used in the Talmud for inferring Jadaic laws analytic? Is it a priori?

Judaism differs considerably from other theistic religions. One of the main features is that Jewish religious laws are not dogmatic but based on specific legal reasoning. This reasoning was already used by the first Judaic commentators of the Bible (Tannaim) for inferring Judaic laws from the Pentateuch. Hence, Judaic logic that was aimed to be a methodology for deducing religious laws has been developed in Judaism. Rambam claimed that this logic was invented by nobody, but it is a part of the Torah. Indeed, this logic differs from other formal systems (Stoic propositional logic, Aristotelean syllogistic, etc.). On the one hand, Judaic logic is analytic as well as other systems. On the other hand, it contains so many ad hoc rules that we may ask whether it is a prpiori in fact? The paper by Curtis Franks http://www.nd.edu/~cfranks/frankssacredinference.pdf considers cases when we may not draw an inference from something which itself has been inferred. Under these circumstances, we could assume that Judaic logic is analytic a posteriori. The status of analytic a posteriori was grounded first by Saul Kripke and Stephen Palmquis. Also, we could attempt to answer, whether the Lord is analytic a posteriori? As we know, in Kant's opinion, the Lord is a construction a priori. This means that God exists just in our thoughts and nowhere else. According to modern logicians, there is analytic a posteriori. Perhaps the Lord is analytic a posteriori, too? This means that we could investigate His Will logically, i.e. analytically, and at the same time He is in reality, i.e. a posteriori.

Logic and the Talmud

Here are links to two articles relating to logic in the Talmud:


"The Realm of the Sacred, wherein We may not Draw an Inference from Something which Itself has been Inferred: a reading of Talmud Bavli Zevachim folio 50" by Curtis Franks
Department of Philosophy, University of Notre Dame, Indiana, USA
http://www.nd.edu/~cfranks/frankssacredinference.pdf

"The Evolution of Talmudic Reasoning." History and Philosophy of Logic 32 (1):9-28 by Norman Solomon, Oriental Institute, Oxford University. 
http://www.tandfonline.com/doi/abs/10.1080/01445340.2010.506081

Induction: A peculiar little discussion in tractate Gittin 28a

In what follows, I copy the soncino translation of tractate Gittin 28a. I intersplice the text with my italicised comments. I have nothing of real interest to say about this excerpt. That's why I'm appealing for your help! If we don't want to reduce the Talmud's second response, on behalf of Raba below, to absurdity, how should we interpret it?

The exceprt talks about a person who is delivering a Get (a bill of divorce) from a husband to a wife. The divorce doesn't take effect until the Get reaches the hand of the wife (or her appointed agent). Only a living man can divorce his wife, so the rabbis discuss what justifies the messenger's assumption that the husband is still alive at the point of delivery to the wife.