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.

What are the "meta-values" of Judaism? Jewish tradition is rich with analysis of every topic imaginable, from major philosophical issues like belief in God and questions of good and evil, to detailed analyses about the finer points of Jewish practice. However it sometimes goes unnoticed that many Rabbis of the Talmud and Midrash have sought to explore how those sets of practices and beliefs cohere into a whole as a unit. The Great Principle of the Torah comes to analyze several of those claims and how the traditional and modern commentators interpreted those positions. This volume explores how those values interconnect, as well as their points of divergence. It is the ideal book for someone who is looking for a big picture perspective on what Judaism represents, as well as seeking to understand the rich diversity of opinion within the authentic Jewish tradition.

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 development of explicit legal concepts and principles in rabbinic literature reflects rabbinic legal thought at its most creative and sophisticated, as many of these concepts and principles deal with abstract, metaphysical entities. In this study Leib Moscovitz systematically surveys the development and impact of abstraction and conceptualization in the various legal corpora of rabbinic literature, illustrating the critical and unique role that conceptualization plays in talmudic reasoning. He demonstrates how the analysis of rabbinic conceptualization can shed light on numerous important aspects of rabbinic scholarship, such as the character and development of rabbinic legal thought, techniques of rabbinic legal exegesis, rabbinic jurisprudence, and various philological and historical issues in rabbinics, such as the chronology of the anonymous stratum of the Babylonian Talmud. Rabbinic conceptualization, though unique in many respects, shares certain features with cognate disciplines, and this study utilizes these disciplines (mainly jurisprudence, cognitive psychology, and philosophy) to illuminate rabbinic conceptualization wherever relevant. The themes addressed in this study include the use of casuistics, generalization, and implicit conceptualization in the earlier strata of rabbinic literature, classification and legal definition, legal fictions, legal explanation, analogy and association, and the development and use of explicit legal concepts and principles in the later strata of rabbinic literature.

The Jewish intellectual tradition has a long and complex history that has resulted in significant and influential works of scholarship. In this book, the authors suggest that there is a series of common principles that can be extracted from the Jewish intellectual tradition that have broad, even life-changing, implications for individual and societal achievement. These principles include respect for tradition while encouraging independent, often disruptive thinking; a precise system of logical reasoning in pursuit of the truth; universal education continuing through adulthood; and living a purposeful life. The main objective of this book is to understand the historical development of these principles and to demonstrate how applying them judiciously can lead to greater intellectual productivity, a more fulfilling existence, and a more advanced society.

An Israeli rabbi and scholar conveys the spirit of the Talmud as he treats its composition, traditions, structure, and laws