Mathematical logic

This book provides an accessible and at the same time scientifically rigorous introduction to the principles of logical reasoning.

Papers based on a series of workshops where prominent researchers present exciting developments in set theory to a broad audience.

Examines the cognitive impact on formal languages for human reasoning, drawing on philosophy, historical development, psychology and cognitive science.

Examines the cognitive impact on formal languages for human reasoning, drawing on philosophy, historical development, psychology and cognitive science.

This book provides an accessible and at the same time scientifically rigorous introduction to the principles of logical reasoning.

This truly elementary book on categories introduces retracts, graphs, and adjoints to students and scientists.

This book unifies and synthesizes research on graph structure over the last 25 years.

This volume explores the nature of mathematical proof in a range of historical settings, providing the first comprehensive history of proof.

This volume explores the nature of mathematical proof in a range of historical settings, providing the first comprehensive history of proof.

A comprehensive account that gives equal attention to the combinatorial, logical and applied aspects of partially ordered sets.

Containing never-before-published material, this fascinating account sheds new light on one of the greatest figures of the twentieth century.

A thorough introduction to a burgeoning interdisciplinary field, with an emphasis on foundational material.

The basics of category theory beautifully explained with a wealth of exercises.

After functional, measure and stochastic analysis prerequisites, the author covers chaos decomposition, Skorohod integral processes, Malliavin derivative and Girsanov transformations.

Concise introduction to current topics in model theory, including simple and stable theories.

The most seminal collection of papers of descriptive set theory reprinted and put into the modern research context.

This major graduate-level text provides a detailed, self-contained coverage of proof theory.

The basics of category theory beautifully explained with a wealth of exercises.

A comprehensive treatment of two fundamental concepts in computer science, mathematics and other fields.

Seven articles survey the state of the art.

An overview of different theories of motivic integration and their applications.

Presents a new way of applying the methods of proof theory to axiomatic theories and systems of philosophical logic.

A collection of remarkable papers from various areas of mathematical logic, written by outstanding members of the field.

An overview of different theories of motivic integration and their applications.

Methods and results from the theory of Zariski structures, and their applications in geometry.

A model-theoretic approach to bounded arithmetic and propositional proof complexity.

This 2001 book will appeal to mathematicians and philosophers interested in the foundations of mathematics.

Develops new semantical characterisations of many logical systems with quantification that are incomplete under the traditional Kripkean possible worlds interpretation.

This fresh approach to set theory covers the theoretical fundamentals as well as outline connections with other parts of mathematics.

This book is a self-contained, up-to-date introduction to simple theories and the model theory of hyperimaginaries.

Previously unpublished archival material helps us reassess this famous, but seldom studied, classic that prompted modern logic and computers.

Top researchers in the mathematical foundations of physics explore how innovation can foster deeper insight into the physical world''s structure.

A systematic introduction suitable for readers who have little familiarity with logic.

This volume commemorates the life, work and foundational views of Kurt Gödel by exploring the impact of his work and its future implications.

This volume commemorates the life, work and foundational views of Kurt Gödel by exploring the impact of his work and its future implications.

This introductory text clearly presents three important games in logic, from the basics to the cutting edge.

Provides the first comprehensive, unified presentation of the structural, algorithmic and applied aspects of the theory of Boolean functions.

This systematic and historical treatment of Russell's contributions to analytic philosophy, from his embrace of analysis in 1898 to his landmark theory of descriptions in 1905, draws important connections between his philosophically motivated conception of analysis and the technical apparatus he devised to facilitate analyses in mathematics

First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic.

First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic.

Kurt Godel (1906-1978) was an Austrian-American mathematician, who is best known for his incompleteness theorems.

This book aims to introduce readers without a strong mathematical background to the basic ideas of fuzzy set theory and logic.

Provides a unique and methodologically consistent treatment of various areas of fuzzy modeling and includes the results of mathematical fuzzy logic and linguistics This book is the result of almost thirty years of research on fuzzy modeling.

Provides a unique and methodologically consistent treatment of various areas of fuzzy modeling and includes the results of mathematical fuzzy logic and linguistics This book is the result of almost thirty years of research on fuzzy modeling.

An enlightening introduction to the study of logic: its history, philosophical foundations, and formal structures Logic: Inquiry, Argument, and Order is the first book of its kind to frame the study of introductory logic in terms of problems connected to wider issues of knowledge and judgment that arise in the context of racial, cultural, and religious diversity.

An enlightening introduction to the study of logic: its history, philosophical foundations, and formal structures Logic: Inquiry, Argument, and Order is the first book of its kind to frame the study of introductory logic in terms of problems connected to wider issues of knowledge and judgment that arise in the context of racial, cultural, and religious diversity.

Solutions manual to accompany Logic and Discrete Mathematics: A Concise Introduction This book features a unique combination of comprehensive coverage of logic with a solid exposition of the most important fields of discrete mathematics, presenting material that has been tested and refined by the authors in university courses taught over more than a decade.

Solutions manual to accompany Logic and Discrete Mathematics: A Concise Introduction This book features a unique combination of comprehensive coverage of logic with a solid exposition of the most important fields of discrete mathematics, presenting material that has been tested and refined by the authors in university courses taught over more than a decade.

A concise yet rigorous introduction to logic and discrete mathematics.

A concise yet rigorous introduction to logic and discrete mathematics.