The Search for Certainty 2024 pdf epub mobi 电子书


The Search for Certainty

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发表于2024-11-26

The Search for Certainty 2024 pdf epub mobi 电子书

The Search for Certainty 2024 pdf epub mobi 电子书

The Search for Certainty 2024 pdf epub mobi 电子书



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出版者:Oxford University Press, USA
作者:Marcus Giaquinto
出品人:
页数:300
译者:
出版时间:2004-7-29
价格:GBP 43.49
装帧:Paperback
isbn号码:9780198752455
丛书系列:

图书标签: 逻辑  数学基础  math   


The Search for Certainty 2024 pdf epub mobi 电子书 图书描述

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.

The Search for Certainty 2024 pdf epub mobi 电子书

The Search for Certainty 2024 pdf epub mobi 电子书
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