Logical Frameworks for Truth and Abstraction
eBook - ePub

Logical Frameworks for Truth and Abstraction

An Axiomatic Study

  1. 460 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Logical Frameworks for Truth and Abstraction

An Axiomatic Study

About this book

This English translation of the author's original work has been thoroughly revised, expanded and updated.The book covers logical systems known as type-free or self-referential. These traditionally arise from any discussion on logical and semantical paradoxes. This particular volume, however, is not concerned with paradoxes but with the investigation of type-free sytems to show that: (i) there are rich theories of self-application, involving both operations and truth which can serve as foundations for property theory and formal semantics; (ii) these theories provide a new outlook on classical topics, such as inductive definitions and predicative mathematics; (iii) they are particularly promising with regard to applications.Research arising from paradoxes has moved progressively closer to the mainstream of mathematical logic and has become much more prominent in the last twenty years. A number of significant developments, techniques and results have been discovered.Academics, students and researchers will find that the book contains a thorough overview of all relevant research in this field.

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Yes, you can access Logical Frameworks for Truth and Abstraction by A. Cantini in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Studies in Logic and the Foundations of Mathematics
  5. Copyright page
  6. Preface
  7. Introduction
  8. Part A: Combinators and Truth
  9. Part B: Truth and Recursion Theory
  10. Part C: Selected Topics
  11. Part D: Levels of Truth and Proof Theory
  12. Part E: Alternative Views
  13. Bibliography
  14. Index
  15. List of Symbols