What Is Mathematical Logic?

Mathematical logic has grown 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.

Guillermo Badia, Senior Lecturer, University of Queensland,John N. Crossley, Emeritus Professor, Monash University,John C. Stillwell, Emeritus Professor, University of San Francisco,Christopher J. Ash †, Monash University,Christopher J. Brickhill †,Neil H. Williams

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.