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Reverse Mathematics: Proofs from the Inside Out PDF

BY ~ John Stillwell

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Title: Reverse Mathematics: Proofs from the Inside Out

Author : John Stillwell

Pages : 200 pages

Publisher : Princeton University Press

Language :

ISBN-10 : 0691177171

ISBN-13 : 9780691177175

Reverse Mathematics: Proofs from the Inside Out BY John Stillwell

Read Online and Download Reverse Mathematics: Proofs from the Inside Out. This book presents reverse mathematics to a general mathematical audience for the first time. Reverse mathematics is a new field that answers some old questions. In the two thousand years that mathematicians have been deriving theorems from axioms, it has often been asked: which axioms are needed to prove a given theorem? Only in the last two hundred years have some of these questions been answered, and only in the last forty years has a systematic approach been developed. In Reverse Mathematics, John Stillwell gives a representative view of this field, emphasizing basic analysis--finding the "right axioms" to prove fundamental theorems--and giving a novel approach to logic.Stillwell introduces reverse mathematics historically, describing the two developments that made reverse mathematics possible, both involving the idea of arithmetization. The first was the nineteenth-century project of arithmetizing analysis, which aimed to define all concepts of analysis in terms of natural .

Reverse Mathematics: Proofs from the Inside Out by John Stillwell

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