Items related to Principles of Mathematics Revisited
Synopsis
This book, written by one of philosophy's 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 Gödel 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 mathematics can in principle be done on this first-order level, thus dispensing with the existence of sets and other higher-order entities.
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Product Description
The Principles of Mathematics Revisited Hintikka proposes a new logic and uses it to explore the foundations of mathematics. Full description
Review
'Hintikka's new logic is highly original and will prove appealing to logicians, philosophers of mathematics, and mathematicians concerned with the foundations of the discipline.' Studia Logica
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- PublisherCambridge University Press
- Publication date2008
- ISBN 10 0521624983
- ISBN 13 9780521624985
- BindingPaperback
- LanguageEnglish
- Number of pages304
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ISBN 10: 0521624983
ISBN 13: 9780521624985
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The Principles of Mathematics Revisited
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Principles of Mathematics Revisited
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Principles of Mathematics Revisited
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The Principles of Mathematics Revisited
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Principles of Mathematics Revisited
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