Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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 Gdel (the celebrated incompleteness theorems). For students of mathematics or philosophy this book provides an excellent introduction to logic and set theory.

Logic, Symbolic and mathematical. --- Set theory. --- Logic, Symbolic and mathematical --- Set theory --- 510.22 --- 510.6 --- 510.22 Set theory. Set theoretic approach. Theory of order types, of ordinal and cardinal numbers --- Set theory. Set theoretic approach. Theory of order types, of ordinal and cardinal numbers --- Aggregates --- Classes (Mathematics) --- Ensembles (Mathematics) --- Mathematical sets --- Sets (Mathematics) --- Theory of sets --- Mathematics --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Syllogism --- 510.6 Mathematical logic

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Political philosophy. Social philosophy --- Political systems --- Polemology --- Israel --- Palestine

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Mathematical logic --- Mathematical analysis

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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. Studies in Choice and Welfare is a book series dedicated to the ethical and positive aspects of welfare economics and choice theory. Topics comprise individual choice and preference theory, social choice and voting theory (normative, positive and strategic sides) as well as all aspects of welfare theory (Pareto optimality; welfare criteria; fairness, justice  and equity; externalities; public goods; optimal taxation; incentives in public decision making; cost-benefit analysis, etc.).

Constitutional law. --- Economics, Mathematical. --- Mathematics. --- Political science -- Philosophy. --- Politics, Practical. --- Government - General --- Business & Economics --- Law, Politics & Government --- Economic Theory --- Political Institutions & Public Administration - General --- Elections. --- Electoral politics --- Mass political behavior --- Political behavior --- Politics --- Practical politics --- Franchise --- Polls --- Political science. --- Political philosophy. --- Game theory. --- Welfare economics. --- Economics. --- Social Choice/Welfare Economics/Public Choice. --- Political Science. --- Game Theory, Economics, Social and Behav. Sciences. --- Political Philosophy. --- Constitutional Law. --- Economic policy --- Economics --- Social policy --- Constitutional law --- Constitutional limitations --- Constitutionalism --- Constitutions --- Limitations, Constitutional --- Public law --- Administrative law --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Political philosophy --- Administration --- Civil government --- Commonwealth, The --- Government --- Political theory --- Political thought --- Science, Political --- Social sciences --- State, The --- Interpretation and construction --- Political science --- Political participation --- Politics, Practical --- Plebiscite --- Political campaigns --- Representative government and representation --- Social Choice/Welfare Economics/Public Choice/Political Economy. --- Philosophy. --- Math --- Science --- Social choice. --- Social Choice and Welfare. --- Game Theory. --- Choice, Social --- Collective choice --- Public choice --- Choice (Psychology) --- Social psychology --- Welfare economics