This comprehensive monograph presents a detailed overview of creative works by the author and other 20th-century logicians that includes applications of proof theory to logic as well as other areas of mathematics. 1975 edition.
This comprehensive monograph presents a detailed overview of creative works by the author and other 20th-century logicians that includes applications of proof theory to logic as well as other areas of mathematics. 1975 edition.
Preface Preface to the Second Edition Contents Introduction Part I. First Order Systems 1. First Order Predicate Calculus 2. Peano Arithmetic Part II. Second Order and Finite Order Systems 3. Second Order Systems and Simple Type Theory 4. Infinitary Logic Part III. Consistency Problems 5. Consistency Proofs 6. Some Applications of Consistency Proofs Postscript Appendix Index
Preface Preface to the Second Edition Contents Introduction Part I. First Order Systems 1. First Order Predicate Calculus 2. Peano Arithmetic Part II. Second Order and Finite Order Systems 3. Second Order Systems and Simple Type Theory 4. Infinitary Logic Part III. Consistency Problems 5. Consistency Proofs 6. Some Applications of Consistency Proofs Postscript Appendix Index
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