The Principles of Mathematics Revisited
By (author) Jaakko Hintikka
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Principles of Mathematics Revisited by Jaakko Hintikka
Book DescriptionThis 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 Godel 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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Book DetailsISBN: 9780521624985
(228mm x 152mm x 17mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 28-Apr-1998
Country of Publication: United Kingdom
Books By Author Jaakko Hintikka
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Jaakko Hintikka discusses the important problem of how knowledge is first acquired.
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