Inexhaustibility
eBook - PDF

Inexhaustibility

A Non-Exhaustive Treatment

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Inexhaustibility

A Non-Exhaustive Treatment

Book details
Table of contents
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About This Book

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the sixteenth publication in the Lecture Notes in Logic series, gives a sustained presentation of a particular view of the topic of Gödelian extensions of theories. It presents the basic material in predicate logic, set theory and recursion theory, leading to a proof of Gödel's incompleteness theorems. The inexhaustibility of mathematics is treated based on the concept of transfinite progressions of theories as conceived by Turing and Feferman. All concepts and results are introduced as needed, making the presentation self-contained and thorough. Philosophers, mathematicians and others will find the book helpful in acquiring a basic grasp of the philosophical and logical results and issues.

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Yes, you can access Inexhaustibility by Torkel Franzén in PDF and/or ePUB format, as well as other popular books in Mathematics & Logic in Mathematics. We have over one million books available in our catalogue for you to explore.

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Table of contents

  1. Cover
  2. Half-title
  3. Series information
  4. Title page
  5. Copyright information
  6. Dedication
  7. Table of contents
  8. Preface
  9. 1 Introduction
  10. 2 Arithmetical preliminaries
  11. 3 Primes and proofs
  12. 4 The language of arithmetic
  13. 5 The language of analysis
  14. 6 Ordinals and inductive definitions
  15. 7 Formal languages and the definition of truth
  16. 8 Logic and theories
  17. 9 Peano Arithmetic and computability
  18. 10 Elementary and classical analysis
  19. 11 The recursion theorem and ordinal notations
  20. 12 The incompleteness theorems
  21. 13 Iterated consistency
  22. 14 Iterated reflection
  23. 15 Iterated iteration and inexhaustibility
  24. References
  25. Index