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Principles of Mathematics Revisited

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ISBN-10: 0521624983

ISBN-13: 9780521624985

Edition: 1998

Authors: Jaakko Hintikka

List price: $54.99
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Description:

This book, written by one of philosophys pre-eminent logicians, argues that many of the basic assumptions common to logic, philosophy of mathematics and metaphysics are in need of change. It is therefore a book of critical importance to logical theory. Jaakko Hintikka proposes a new basic first-order logic and uses it to explore the foundations of mathematics. This new logic enables logicians to express on the first-order level such concepts as equicardinality, infinity, and truth in the same language. The famous impossibility results by Gdel and Tarski that have dominated the field for the last sixty years turn out to be much less significant than has been thought. All of ordinary…    
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Book details

List price: $54.99
Copyright year: 1998
Publisher: Cambridge University Press
Publication date: 4/28/1998
Binding: Paperback
Pages: 304
Size: 5.75" wide x 8.50" long x 0.75" tall
Weight: 0.946
Language: English

The functions of logic and the problem of truth definition
The game of logic
Frege's fallacy foiled: Independence-friendly logic
The joys of independence: Some uses of IF logic
The complexities of completeness
Who's afraid of Alfred Tarski? Truth-definitions for IF first-order languages
The liar belied: negation in IF logic
Axiomatic set theory: Frankenstein's monster?
IF logic as a framework for mathematical theorizing
Constructivism reconstructed
The epistemology of mathematical objects