Logical Frameworks for Truth and Abstraction - 1st Edition - ISBN: 9780444823069, 9780080535586

Logical Frameworks for Truth and Abstraction, Volume 135

1st Edition

An Axiomatic Study

Authors: A. Cantini
Hardcover ISBN: 9780444823069
eBook ISBN: 9780080535586
Imprint: North Holland
Published Date: 14th March 1996
Page Count: 460
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Table of Contents

Preface. Contents. Introduction. PART A: COMBINATORS AND TRUTH. I. Introducing operations. II. Extending operations with reflective truth. PART B: TRUTH AND RECURSION THEORY. III. Inductive models and definability theory. IV. Type-free abstraction with approximation operator. V. Type-free abstraction, choice and sets. PART C: SELECTED TOPICS. VI. Levels of implication and intentional logical equivalence. VII. On the global structure of models for reflective truth. PART D: LEVELS OF TRUTH AND PROOF THEORY. VIII. Levels of reflective truth. IX. Levels of truth and predicative well-orderings. X. Reducing reflective truth with levels to finitely iterated reflective truth. XI. Proof-theoretic investigation of finitely iterated reflective truth. PART E: ALTERNATIVE VIEWS. XII. Non-reductive systems for type-free abstraction and truth. XIII. The variety of non-reductive approaches. XIV. Epilogue: applications and perspectives. Bibliography. Index. List of Symbols.


Description

Preface. Contents. Introduction. PART A: COMBINATORS AND TRUTH. I. Introducing operations. II. Extending operations with reflective truth. PART B: TRUTH AND RECURSION THEORY. III. Inductive models and definability theory. IV. Type-free abstraction with approximation operator. V. Type-free abstraction, choice and sets. PART C: SELECTED TOPICS. VI. Levels of implication and intentional logical equivalence. VII. On the global structure of models for reflective truth. PART D: LEVELS OF TRUTH AND PROOF THEORY. VIII. Levels of reflective truth. IX. Levels of truth and predicative well-orderings. X. Reducing reflective truth with levels to finitely iterated reflective truth. XI. Proof-theoretic investigation of finitely iterated reflective truth. PART E: ALTERNATIVE VIEWS. XII. Non-reductive systems for type-free abstraction and truth. XIII. The variety of non-reductive approaches. XIV. Epilogue: applications and perspectives. Bibliography. Index. List of Symbols.


Details

No. of pages:
460
Language:
English
Copyright:
© North Holland 1996
Published:
Imprint:
North Holland
eBook ISBN:
9780080535586
Hardcover ISBN:
9780444823069

Reviews

"This is an appealing book, (relatively) easy to read, and attractive in its unified treatment of a range of issues...I found this to be a well-constructed book. The bibliography is thorough, and the indexes are well constructed and accurate..." --Studia Logica


About the Authors

A. Cantini Author

Affiliations and Expertise

University of Florence, Department of Philosophy, Italy