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"Studies in Talmudic Logic" is the series edited by Michael Abraham, Dov Gabbay and Uri Schild. The Talmud is the most comprehensive and fundamental work of Jewish religious law, employing a large number of logical components centuries a ahead of their time. In many cases the basic principles are not explicitly formulated, which makes it difficult to formalize and make available to the modern student of Logic.
This book series on Talmudic Logic, aims to present logical analysis of Talmudic reasoning using modern logical tools.The series begins with the systematic analysis of Talmudic inference rules. The first book shows that we can present Talmudic reasoning intuitions as a systematic logical system basic to modern non-deductive reasoning , such as Argumentum A Fortiori, Abduction and Analogy. The second book offers a systematic common sense method for intuitively defining sets and claims that this method adequately models the Talmudic use of the rules Klal uPrat. The also criticizes modern Talmudic research methodology.
Forthcoming books will deal with additional topics like Deontic logic , and Temporal logic, Agency and processes in the Talmud and more.
The aims of the series are two fold:
1. To import into the Talmudic study modern logical methods with a view to help understand complicated Talmudic passages, which otherwise cannot be addressed.
2. To export from the Talmud new logical principles which are innovative and useful to modern contemporary logic.