On Constructive Interpretation of Predictive Mathematics (1990)
eBook - PDF

On Constructive Interpretation of Predictive Mathematics (1990)

  1. 342 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

On Constructive Interpretation of Predictive Mathematics (1990)

About this book

First published in 1990, this book consists of a detailed exposition of results of the theory of "interpretation" developed by G. Kreisel — the relative impenetrability of which gives the elucidation contained here great value for anyone seeking to understand his work. It contains more complex versions of the information obtained by Kreisel for number theory and clustering around the no-counter-example interpretation, for number-theorectic forumulae provide in ramified analysis. It also proves the omega-consistency of ramified analysis. The author also presents proofs of Schütte's cut-elimination theorems which are based on his consistency proofs and essentially contain them — these went further than any published work up to that point, helping to squeeze the maximum amount of information from these proofs.

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Yes, you can access On Constructive Interpretation of Predictive Mathematics (1990) by Charles Parsons in PDF and/or ePUB format, as well as other popular books in Philosophy & Analytic Philosophy. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Routledge
Year
2017
eBook ISBN
9781315397054
Edition
1
Topic
Philosophy
Subtopic
Analytic Philosophy

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Original Title
  5. Original Copyright
  6. PREFACE, 1989
  7. TABLE OF CONTENTS
  8. Preface
  9. Chapter I. INTRODUCTION
  10. Chapter II. OVER-SIMPLE INTERPRETATIONS
  11. Chapter III. HERBRAND INTERPRETATION
  12. Chapter IV. THE NO-COUNTER-EXAMPLE INTERPRETATION OF NUMBER THEORY
  13. Chapter V. RAMIFIED ANALYSIS
  14. Chapter VI. Ω-CONSISTENCY
  15. Appendix I. Arithmetization of Schütte's Cut-elimination theorems
  16. Appendix II. Ordinal Functions
  17. Bibliography
  18. Index of Definitions