This book presents modern logic as the formalization of reasoning that needs and deserves a semantic foundation. Chapters on propositional logic; parsing propositions; and meaning, truth and reference give the reader a basis for establishing criteria that can be used to judge formalizations of ordinary language arguments. Over 120 worked examples illustrate the scope and limitations of modern logic, as analyzed in chapters on identity, quantifiers, descriptive names, and functions. The chapter on second-order logic shows how different conceptions of predicates and propositions do not lead to a common basis for quantification over predicates, as they do for quantification over things. Notable for its clarity of presentation and supplemented by many exercises, this volume will be invaluable for philosophers, linguists, mathematicians, and computer scientists who wish to better understand the tools they use in formal reasoning.

Predicate Logic (The Semantic Foundations of Logic)

Politics & Social Sciences

Epstein, Richard L.

Philosophy

Oxford University Press

This new edition of the author's well-received Propositional Logics presents the history, philosophy, and mathematics of its subject. Individual chapters are devoted to classical logic, modal logics, many-valued logics, intuitionism, paraconsistent logics, and analytic implication. Each chapter begins with a motivation in the originator's own terms, followed by the standard formal semantics and syntax, and completeness theorems. The chapters on the various logics are largely self-contained so that the book can be used as a reference. An appendix summarizes the formal semantics and axiomatizations. This is the first book to unify many different logics within a common spectrum of semantic analysis: as the aspect of propositions under consideration varies, the logic varies. Translations between logics are analyzed--also for the first time-- along with necessary conditions for preserving meaning. In addition to logicians and philosophers, the book will interest computer scientists and linguists due to its clear explication of the relationship between mathematical semantics, formal languages, and natural languages, along with the flexible, simple methods of modeling reasoning provided by the general framework. This second edition includes worked examples and hundreds of new exercises, from routine to open problems, making it ideal for use in courses or for individual study.

Propositional Logics (The Semantic Foundations of Logic)

This book is a summary and guide to the art of reasoning in economics and in everyday life, from one of the foremost authors and researchers in the field of critical thinking. Critical thinking is evaluating whether we should be convinced that some claim is true or some argument is good, as well as formulating good arguments. This book is meant to help students learn the basic skills of critical thinking and apply them to the basic study of economics.

The Guide to Critical Thinking in Economics

Business & Money

Kernberger, Carolyn

Economics

South-Western Pub.

This book should be of interest to intermediate mathematics undergraduates; postgraduates in theoretical computer science/philosophy of mathematics.

Computability: Computable Functions Logic and the Foundations of Math (Wadsworth&Brooks/Cole Mathematics Series)

Science & Math

Carnielli, Walter Alexandr

Mathematics

Chapman and Hall/CRC

This highly readable and intuitive introduction to computability theory contains a great many background discussions which introduce the reader to the researched history and philosophical aspects of recursion theory and logic. This book is perfectly suited for class work and individual study, successfully achieving the goal of painlessly introducing technical matter in a readable and stimulating way.

Computability: Computable Functions, Logic, and the Foundations of Mathematics, with Computability: A Timeline

Carnielli, Walter A.

Wadsworth Publishing

Critical Thinking

Wadsworth Publishing Company

This little book is a summary and guide to the art of reasoning well in daily life. Epstein's larger text, CRITICAL THINKING, upon which this is based, set a new standard of pedagogical excellence and provided a well-integrated approach to the subject. Friendly and easy to learn from, this short book provides the same benefits in a trimmed-down fashion, without the cartoon illustrations. It also includes revised examples which are more inter-disciplinary.

The Pocket Guide to Critical Thinking

History

A presentation of the fundamental ideas that generate the formal systems of predicate logic. This text clearly relates predicate logic to reasoning in ordinary language, with hundreds of examples of formalization, with a clear theory of how to formalize ordinary arguments. The writing is exceptionally clear and easy to read.

Predicate Logic: The Semantic Foundations of Logic

Wadsworth Pub. Co.

This book is a survey and overview of the major systems of propositional logics, answering the question, "If logic is the right way to reason, why are there so many logics?" Each system is presented both formally and with philosophical motivation in Epstein's renowned clear style.

Propositional Logics: The Semantic Foundations of Logic

This handy book is a summary and guide to the art of reasoning well in academic pursuits and in everyday life. The Second Edition of Epstein's comprehensive text, CRITICAL THINKING, set a new standard of pedagogical excellence and provided a well-integrated approach to the subject. This brief "pocket guide" provides the same benefits in a trimmed-down fashion, covering the essentials. This latest edition includes revised examples that are more inter-disciplinary in scope.

See the best price to sell, buy, or rent books by Epstein, Richard L.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Epstein, Richard L.

See the best price to sell, buy, or rent books by Epstein, Richard L.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Predicate Logic (The Semantic Foundations of Logic)

Propositional Logics (The Semantic Foundations of Logic)

The Guide to Critical Thinking in Economics

Computability: Computable Functions Logic and the Foundations of Math (Wadsworth&Brooks/Cole Mathematics Series)

Computability: Computable Functions, Logic, and the Foundations of Mathematics, with Computability: A Timeline

Critical Thinking

The Pocket Guide to Critical Thinking

Predicate Logic: The Semantic Foundations of Logic

Propositional Logics: The Semantic Foundations of Logic

The Pocket Guide to Critical Thinking