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Search for Certainty

A Philosophical Account of Foundations of Mathematics

Autor: Marcus Giaquinto

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Legare: Carte broșată

Editura: Oxford University Press

Disponibilitate: În depozitul extern

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362.63 lei

Marcus Giaquinto traces the story of the search for firm foundations for mathematics. The nineteenth...

Informații despre carte

Autor

Marcus Giaquinto

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2004

Pagini

300

EAN

9780198752455

ISBN

0198752458

Enbook ID

04528638

Editura

Oxford University Press

Greutate

432

Dimensiuni

156 x 232 x 17

Descriere completă

Marcus Giaquinto traces the story of the search for firm foundations for mathematics. The nineteenth century saw a movement to make higher mathematics rigorous; this seemed to be on the brink of success when it was thrown into confusion by the discovery of the class paradoxes. That initiated a period of intense research into the foundations of mathematics, and with it the birth of mathematical logic and a new, sharper debate in the philosophy of mathematics. The Search for Certainty focuses mainly on two major twentieth-century programmes: Russell's logicism and Hilbert's finitism. Giaquinto examines their philosophical underpinnings and their outcomes, asking how successful they were, and how successful they could be, in placing mathematics on a sound footing. He sets these questions in the context of a clear, non-technical exposition and assessment of the most important discoveries in mathematical logic, above all Godel's underivability theorems. More than six decades after those discoveries Giaquinto asks what our present perspective should be on the question of certainty in mathematics. Taking recent developments into account, he gives reasons for a surprisingly positive response.

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Search for Certainty

A Philosophical Account of Foundations of Mathematics

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