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Gödel's DisjunctionThe scope and limits of mathematical knowledge

Gödel's Disjunction: The scope and limits of mathematical knowledge

Leon Horsten and Philip Welch (eds)

Published in print:
2016
Published Online:
November 2016
ISBN:
9780198759591
eISBN:
9780191820373
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198759591.001.0001
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

The logician Kurt Gödel in 1951 established a disjunctive thesis about the scope and limits of mathematical knowledge: either the mathematical mind is equivalent to a Turing machine (i.e., a ... More

4-Manifolds

4-Manifolds

Selman Akbulut

Published in print:
2016
Published Online:
November 2016
ISBN:
9780198784869
eISBN:
9780191827136
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198784869.001.0001
Subject:
Mathematics, Geometry / Topology

This book present the topology of smooth 4-manifolds in an intuitive self-contained way. The handlebody theory, and the seiberg-witten theory of 4-manifolds are presented. Also stein and symplectic ... More

Proving in the Elementary Mathematics Classroom

Proving in the Elementary Mathematics Classroom

Andreas J. Stylianides

Published in print:
2016
Published Online:
September 2016
ISBN:
9780198723066
eISBN:
9780191789588
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198723066.001.0001
Subject:
Mathematics, Educational Mathematics

Proving in the Elementary Mathematics Classroom addresses a fundamental problem in children’s learning that has received relatively little research attention: Although proving and related concepts ... More

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