This book is an introduction to the theory of toposes, as first developed by Grothendieck and later developed by Lawvere and Tierney. Beginning with several illustrative examples, the book explains the underlying ideas of topology and sheaf theory as well as the general theory of elementary toposes
A First Course in Logic: An Introduction to Model Theory, Proof Theory, Computability, and Complexity
โ Scribed by Shawn Hedman
- Book ID
- 127417911
- Publisher
- Oxford University Press, USA
- Year
- 2004
- Tongue
- English
- Weight
- 2 MB
- Series
- Oxford Texts in Logic, Volume 1
- Edition
- illustrated edition
- Category
- Library
- ISBN-13
- 9780071615013
No coin nor oath required. For personal study only.
โฆ Synopsis
The ability to reason and think in a logical manner forms the basis of learning for most mathematics, computer science, philosophy and logic students. Based on the author's teaching notes at the University of Maryland and aimed at a broad audience, this text covers the fundamental topics in classical logic in an extremely clear, thorough and accurate style that is accessible to all the above. Covering propositional logic, first-order logic, and second-order logic, as well as proof theory, computability theory, and model theory, the text also contains numerous carefully graded exercises and is ideal for a first or refresher course.
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