Logic In The Talmud

This book puts forward new logical systems suitable for modelling Talmudic and Biblical reasoning and argumentation. The Talmud is very logical. It is said that when God gave Moses the Ten Commandments, He also gave him additional laws and rules of logic to enable human beings to derive more laws. Together with colleagues the authors have already written 8 books on the logic of the Talmud and the project will involve 15-20 volumes. The authors have discovered principles which can be exported to current research in scientific communities, as well as human common sense reasoning and laws as tackled by religious thinking. Topics in this book include: 1 Non-deductive Inference in the Talmud: The book includes a new topological matrix method for analogical reasoning, completely new to existing AI methods which rely on metric distances. 2 The Textual Inference Rules Klal uPrat. How the Bible Defines Sets: Traditional set theoretic methods for defining sets are either by enumeration of its elements or by a predicate formula. The biblical way is a common sense combination of the two, approximating the set from above and from below by predicates, supplemented by a small number of typical members of the set. 3 Talmudic Deontic Logic: The Talmud has its own Deontic Logic, free of the traditional paradoxes. 4 Temporal Logic in the Talmud: The Talmud allows for special conditionals with antecedents depending on the future and consequents valid in the present. This new type of logic allows for backwards causality and connects with aspects of Quantum Logic. 5 Resolution of Conflicts and Normative Loops in the Talmud: The book deals with Talmudic loop checking methods that can be widely applied to handling loops in AI and logic. 6 Delegation and Representation in Talmudic Logic: Talmudic systems of delegation are innovative and apply to modern day to day computer delegation and access control. This book is of great interest to researchers in AI and Law, in Argumentation theory, and in Pure and Applied logical systems, as well as students of Talmudic reasoning and debate.

Logic in the Talmud is a ‘thematic compilation’ by Avi Sion. It collects in one volume essays that he has written on this subject in Judaic Logic (1995) and A Fortiori Logic (2013), in which traces of logic in the Talmud (the Mishna and Gemara) are identified and analyzed. While this book does not constitute an exhaustive study of logic in the Talmud, it is a ground-breaking and extensive study.

In this sequel to The Ways of Reason, the Ramchal explains key logical concepts as they are applied to Talmudic analysis. Includes a new workbook supplement by the author. Vowelized Hebrew with facing English and 15 pages of explanatory charts.

Drawing extensively on examples from the Gemara, this work bridges Talmudic analysis and the principles of logic. With Hebrew and facing English, detailed chapter outlines, indices and charts.

The Talmudic exegesis is constructed on special hermeneutic rules which have the logical meaning in fact. On the basis of this circumstance it is possible to speak about a special logical culture of the Talmud and to call the logic used there Judaic log

Judaic logic: A Formal Analysis of Biblical, Talmudic and Rabbinic Logic is an original inquiry into the forms of thought determining Jewish law and belief, from the impartial perspective of a logician. Judaic Logic attempts to honestly estimate the extent to which the logic employed within Judaism fits into the general norms, and whether it has any contributions to make to them.

The Talmud introduces a specific logical hermeneutics, completely different from the Ancient Greek logic. This hermeneutics first appeared within the Babylonian legal tradition established by the Sumerians and Akkadians to interpret the first legal codes in the world and to deduce trial decisions from the codes by logical inference rules. The purpose of this book is (i) to examine the Talmudic hermeneutics from the point of view of its meaning for contemporary philosophy and logic as well as (ii) to evaluate the genesis of Talmudic hermeneutics which began with the Sumerian/Akkadian legal tradition. The logical hermeneutics of the Talmud is a part of the Oral Torah that was well expressed by the Tannaim, the first Judaic commentators of the Bible, for inferring Judaic laws from the Holy Book. The authors who have contributed to this volume were asked, first of all, to consider the Talmudic hermeneutics from the standpoint of modern philosophy: symbolic logic, rhetoric, analytic philosophy, pragmatics and so on. On the one hand, the authors are interested in possibilities to import some modern philosophical and logical methods into the Talmudic study, and on the other, are interested in possibilities to export new logical principles from the Talmud which are innovative to contemporary philosophy and logic.