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Roads to Infinity
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Roads to Infinity : The Mathematics of Truth and Proof

Book Details

Format Paperback / Softback
ISBN-10 1032927143
ISBN-13 9781032927145
Publisher Taylor & Francis Ltd
Imprint Taylor & Francis Ltd
Country of Manufacture GB
Country of Publication GB
Publication Date Oct 14th, 2024
Print length 216 Pages
Weight 320 grams
Ksh 8,800.00
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This book unifies ideas from set theory and mathematical logic and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. Ideas are shown to evolve from natural mathematical questions about the nature of infinity and the nature of proof, set against a background of broader questions and developm

Winner of a CHOICE Outstanding Academic Title Award for 2011!

This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. The treatment is historical and partly informal, but with due attention to the subtleties of the subject.

Ideas are shown to evolve from natural mathematical questions about the nature of infinity and the nature of proof, set against a background of broader questions and developments in mathematics. A particular aim of the book is to acknowledge some important but neglected figures in the history of infinity, such as Post and Gentzen, alongside the recognized giants Cantor and Gödel.


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