Mathematical Logic
Language: English
Published by Oxford University Press, GB, 2007
- Softcover
- New

Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK
AbeBooks seller since June 11, 2025
Condition: New
£ 124.61
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Add to basketItem description from seller
Assuming no previous study in logic, this informal yet rigorous text covers the material of a standard undergraduate first course in mathematical logic, using natural deduction and leading up to the completeness theorem for first-order logic. At each stage of the text, the reader is given an intuition based on standard mathematical practice, which is subsequently developed with clean formal mathematics. Alongside the practical examples, readers learn what can and can't be calculated; for example the correctness of a derivation proving a given sequent can be tested mechanically, but there is no general mechanical test for the existence of a derivation proving the given sequent. The undecidability results are proved rigorously in an optional final chapter, assuming Matiyasevich's theorem characterising the computably enumerable relations. Rigorous proofs of the adequacy and completeness proofs of the relevant logics are provided, with careful attention to the languages involved. Optional sections discuss the classification of mathematical structures by first-order theories; the required theory of cardinality is developed from scratch. Throughout the book there are notes on historical aspects of the material, and connections with linguistics and computer science, and the discussion of syntax and semantics is influenced by modern linguistic approaches. Two basic themes in recent cognitive science studies of actual human reasoning are also introduced. Including extensive exercises and selected solutions, this text is ideal for students in Logic, Mathematics, Philosophy, and Computer Science.…
Seller Inventory # LU-9780199215621
- Title
- Mathematical Logic
- Author
- Ian Chiswell, Wilfrid Hodges
- Publisher
- Oxford University Press, GB
- Publication year
- 2007
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 0199215626
- ISBN 13
- 9780199215621
- Item weight
- 505 grams
"Synopsis" may belong to another edition of this title.
About the Author
Wilfrid Hodges achieved his DPhil at Oxford in 1970 for a thesis in model theory (mathematical logic). He has taught mathematics at London University for nearly forty years, first at Bedford College and then at Queen Mary, and also taught for visiting years in Los Angeles and Boulder (USA). Besides this book, he has four other textbooks of logic in print, at levels ranging from popular to research. He has served as president of the British Logic Colloquium and the European Association for Logic, Language and Information, and as vice-president of the London Mathematical Society.
"About the title" may belong to another edition of this title.
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