Moshe Machover's Books

This is an introduction to set theory and logic that starts completely from scratch. The text is accompanied by many methodological remarks and explanations. A rigorous axiomatic presentation of Zermelo-Fraenkel set theory is given, demonstrating how the basic concepts of mathematics have apparently been reduced to set theory. This is followed by a presentation of propositional and first-order logic. Concepts and results of recursion theory are explained in intuitive terms, and the author proves and explains the limitative results of Skolem, Tarski, Church and Gödel (the celebrated incompleteness theorems). For students of mathematics or philosophy this book provides an excellent introduction to logic and set theory.

A defining work of Econophysics, republished for the first time since 1983, Laws of Chaos is an attempt to construct a non-deterministic theoretical framework for the foundations of political economy. It relies on probabilistic and statistical methods of the kind used in the modern foundations of several other sciences, introducing scientific modelling into economics for the first time.

A comprehensive one-year graduate (or advanced undergraduate) course in mathematical logic and foundations of mathematics. No previous knowledge of logic is required; the book is suitable for self-study. Many exercises (with hints) are included.

Explores Divine regulation of the world. With Rabbi Yosef Begun's marginal notes. Vowelized, facing Hebrew and English texts.

Book's by Moshe Machover

Set Theory, Logic and Their Limitations

Set Theory, Logic and Their Limitations

Laws of Chaos

Laws of Chaos

Laws of Chaos

Laws of Chaos

A Course in Mathematical Logic

A Course in Mathematical Logic

דרך ה׳

דרך ה׳

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