A First Course in Logic
An Introduction to Model Theory, Proof Theory, Computability, and Complexity
Seiten
2004
Oxford University Press (Verlag)
978-0-19-852981-1 (ISBN)
Oxford University Press (Verlag)
978-0-19-852981-1 (ISBN)
Based on the author's teaching notes, this comprehensive text covers the basics of classical logic, including propositional logic, first-order logic, and second-order logic, as well as proof theory, computability theory, and model theory. Extremely clear, thorough and accurate, this text is ideal for a first or refresher course.
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.
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.
Preliminaries ; 1. Propositional Logic ; 2. Structures and First-Order Logic ; 3. Proof Theory ; 4. Properties of First-Order Logic ; 5. First-Order Theories ; 6. Models of Countable Theories ; 7. Computability and Complexity ; 8. The Incompleteness Theorems ; 9. Beyond First-Order Logic ; 10. Finite Model Theory ; Bibliography ; Index
Erscheint lt. Verlag | 8.7.2004 |
---|---|
Reihe/Serie | Oxford Texts in Logic |
Verlagsort | Oxford |
Sprache | englisch |
Maße | 169 x 239 mm |
Gewicht | 767 g |
Themenwelt | Geisteswissenschaften ► Philosophie ► Logik |
Mathematik / Informatik ► Informatik ► Theorie / Studium | |
Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
ISBN-10 | 0-19-852981-3 / 0198529813 |
ISBN-13 | 978-0-19-852981-1 / 9780198529811 |
Zustand | Neuware |
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