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Search for Certainty: A Philosophical Account of Foundations of Mathematics

Marcus Giaquinto
4.9/5 (18432 ratings)
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Description: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 examines this foundational endeavour from the discovery of the paradoxes to the present. Focusing on Russell's logicist programme and Hilbert's finitist programme, Giaquinto investigates how successful they were and how successful they could be. These questions are set 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Search for Certainty: A Philosophical Account of Foundations of Mathematics. To get started finding Search for Certainty: A Philosophical Account of Foundations of Mathematics, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
286
Format
PDF, EPUB & Kindle Edition
Publisher
Oxford University Press, USA
Release
2007
ISBN
1280914289

Search for Certainty: A Philosophical Account of Foundations of Mathematics

Marcus Giaquinto
4.4/5 (1290744 ratings)
Read Now Download now ⏭ listen AudioBook
Description: 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 examines this foundational endeavour from the discovery of the paradoxes to the present. Focusing on Russell's logicist programme and Hilbert's finitist programme, Giaquinto investigates how successful they were and how successful they could be. These questions are set 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Search for Certainty: A Philosophical Account of Foundations of Mathematics. To get started finding Search for Certainty: A Philosophical Account of Foundations of Mathematics, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
286
Format
PDF, EPUB & Kindle Edition
Publisher
Oxford University Press, USA
Release
2007
ISBN
1280914289

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