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New Foundations for Geometry: Two Non-Additive Languages for Arithmetical Geometry

By: Shai M. J. Haran (Author)

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Ksh 17,800.00

Format: Paperback or Softback

ISBN-13: 9781470423124

Publisher: American Mathematical Society

Publication Date: Apr 30th, 2017

Category: Mathematical logic

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Presents two simple generalizations of commutative rings. They form (co)-complete categories, that contain commutative (semi-) rings. But they also contains the ""integers"" (and ), and the ""residue fields"" (and ), of the real (and complex) numbers. Here is the collection of unit balls, and is the collection of spheres augmented with a. The initial object is ""the field with one element"".

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