What Is Mathematical Logic?

Author:   Guillermo Badia (Senior Lecturer, Senior Lecturer, University of Queensland) ,  John N. Crossley (Emeritus Professor, Emeritus Professor, Monash University) ,  John C. Stillwell (Emeritus Professor, Emeritus Professor, University of San Francisco) ,  Christopher J. Ash † (Monash University)
Publisher:   Oxford University Press
ISBN:  

9780198930860


Pages:   160
Publication Date:   11 December 2025
Format:   Hardback
Availability:   Not yet available   Availability explained
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What Is Mathematical Logic?


Overview

Mathematical logic has grown from an exotic branch of mathematics into an indispensable tool in computer science as well as other parts of mathematics. This concise book presents the subject of mathematical logic in a lively and approachable fashion although logic can be a formidably abstruse topic, even for mathematicians. This second edition of What is Mathematical Logic?, originally published 50 years ago, deals with important ideas in modern mathematical logic, without the detailed mathematical work required of those with a professional interest in logic. The ideas are set forth simply and clearly in a pleasant style and, despite the book's relative brevity, all the basic material is covered in these pages. Three new chapters have been added, covering automatic theorem proving, logic beyond traditional first order logic, and other logics including intuitionistic, free, and modal logics. Students of computer science and mathematical logic will find it a stimulating introduction and valuable supplement for courses, including current further reading suggestions in this lively area at the intersection of mathematics, philosophy, and computer science.

Full Product Details

Author:   Guillermo Badia (Senior Lecturer, Senior Lecturer, University of Queensland) ,  John N. Crossley (Emeritus Professor, Emeritus Professor, Monash University) ,  John C. Stillwell (Emeritus Professor, Emeritus Professor, University of San Francisco) ,  Christopher J. Ash † (Monash University)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 16.00cm , Height: 1.50cm , Length: 24.00cm
Weight:   0.417kg
ISBN:  

9780198930860


ISBN 10:   0198930860
Pages:   160
Publication Date:   11 December 2025
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Hardback
Publisher's Status:   Forthcoming
Availability:   Not yet available   Availability explained
This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release.

Table of Contents

1: Historical survey 2: The completeness of first-order logic 3: Model theory 4: Turing machines 5: Gödel's incompleteness theorems 6: Computability in practice 7: Set theory 8: Beyond first-order logic 9: Further topics

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Author Information

Guillermo Badia is Senior Lecturer at the University of Queensland, Australia, where he teaches mathematical logic and is on the editorial board of the Springer journal Archive for Mathematical Logic. He has published over 40 papers on formal logic. From 2022 to 2025 his research is supported by a Discovery Early Career Researcher Award of the Australian Research Council. John N. Crossley is Emeritus Professor at Monash University, Australia, where he was Professor of Pure Mathematics and of Logic. He has published extensively on logic, theoretical computer science, history of mathematics, and medieval and Asian history. John C. Stillwell is Emeritus Professor of the University of San Francisco and former Associate Professor at Monash University, Australia. He has been given many awards for his expository writing, including 16 books, on mathematics. He has published extensively on mathematics and logic, particularly from the historical viewpoint.

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