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Könyv Search for Certainty Marcus Giaquinto

Search for Certainty

A Philosophical Account of Foundations of Mathematics

Szerző: Marcus Giaquinto
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Oxford University Press
Elérhetőség: Beszállítói készleten
Küldés 10-18 napon belül
25 590 Ft
Marcus Giaquinto traces the story of the search for firm foundations for mathematics. The nineteenth...

Információk a könyvről

Szerző
Marcus Giaquinto
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2004
oldal
300
EAN
9780198752455
ISBN
0198752458
Enbook ID
04528638
Kiadó
Oxford University Press
Súly
432
Méretek
156 x 232 x 17

Teljes leírás

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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