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Principles of Talmudic Logic (Paperback, New)
Loot Price: R645
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Principles of Talmudic Logic (Paperback, New)
Expected to ship within 10 - 15 working days
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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.
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