Moshe Machover - Böcker

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.

Written between 1966 and 2010, these essays by lifelong activist Moshe Machover cover diverse aspects of Israeli society and the Israeli-Palestinian conflict. Comprising analysis and polemics, Israelis and Palestinians addresses both Zionist ideology and its results. Two inter-related themes run throughout: the Israeli-Palestinian conflict in a regional context and the connection between Palestinian liberation and the struggle for socialism throughout the region.

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.

This book is the first of its kind: a monograph devoted to a systematic critical examination and exposition of the theory of a priori voting power. This important branch of social-choice theory overlaps with game theory and is concerned with the ability of members in bodies that make yes or no decisions by vote to affect the outcome. The book includes, among other topics, a reasoned distinction between two fundamental types of voting power, the authors' discoveries on the paradoxes of voting power, and a novel analysis of decision rules that admit abstention.Formal mathematical statements are accompanied by reader-friendly informal explanations. The theory is applied and illustrated in extensive case studies. A series of US court cases concerning the application of the principle of 'one person, one vote' are critically examined in the light of the theory. The history of 'qualified majority voting' in the European Community's Council of Ministers is outlined and the distribution of voting power under this rule is analysed for each period of the community's growth. The measurement of voting power where abstention is a distinct option is illustrated with the examples of the US Congress and the UN Security Council.This important book breaks new ground and will be of interest to students and researchers in social choice, game theory, and in related disciplines such as political economy, business administration and constitutional law.

This book presents a probabilistic approach to studying the fundamental role of labor in capitalist economies and develops a non-deterministic theoretical framework for the foundations of political economy.

This book presents a probabilistic approach to studying the fundamental role of labor in capitalist economies and develops a non-deterministic theoretical framework for the foundations of political economy.

Both theoretical and empirical aspects of single- and multi-winner voting procedures are presented in this collection of papers. Starting from a discussion of the underlying principles of democratic representation, the volume includes a description of a great variety of voting procedures. It lists and illustrates their susceptibility to the main voting paradoxes, assesses (under various models of voters' preferences) the probability of paradoxical outcomes, and discusses the relevance of the theoretical results to the choice of voting system.