Logical Frameworks For Truth and Abstraction : Logical Frameworks for Truth and Abstraction - A. Cantini

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Logical Frameworks For Truth and Abstraction

Logical Frameworks for Truth and Abstraction

By: A. Cantini

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Hardcover | 14 March 1996

At a Glance

Hardcover
460 Pages

Dimensions(cm)
22.23 x 15.88 x 3.18

Hardcover

$381.75

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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.

Industry Reviews

E. Martin ...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

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Preface
Introduction
Combinators and Truth
Introducing operations
Extending operations with reflective truth
Truth and Recursion Theory
Inductive models and definability theory
Type-free abstraction with approximation operator
Type-free abstraction, choice and sets
Selected Topics
Levels of implication and intentional logical equivalence
On the global structure of models for reflective truth
Levels of Truth and Proof Theory
Levels of reflective truth
Levels of truth and predicative well-orderings
Reducing reflective truth with levels to finitely iterated reflective truth
Proof-theoretic investigation of finitely iterated reflective truth
Alternative Views
Non-reductive systems for type-free abstraction and truth
The variety of non-reductive approaches
Epilogue: applications and perspectives
Bibliography
Index
List of Symbols
Table of Contents provided by Publisher. All Rights Reserved.

Logical Frameworks For Truth and Abstraction

Logical Frameworks for Truth and Abstraction

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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