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Subsystems of Second Order Arithmetic
Language: en
Pages: 461
Authors: Stephen George Simpson
Categories: Mathematics
Type: BOOK - Published: 2009-05-29 - Publisher: Cambridge University Press

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This volume examines appropriate axioms for mathematics to prove particular theorems in core areas.
Subsystems of Second Order Arithmetic
Language: en
Pages: 445
Authors: Stephen G. Simpson
Categories: Mathematics
Type: BOOK - Published: 2009-05-29 - Publisher: Cambridge University Press

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Almost all of the problems studied in this book are motivated by an overriding foundational question: What are the appropriate axioms for mathematics? Through a
Slicing The Truth: On The Computable And Reverse Mathematics Of Combinatorial Principles
Language: en
Pages: 231
Authors: Denis R Hirschfeldt
Categories: Mathematics
Type: BOOK - Published: 2014-07-18 - Publisher: World Scientific

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This book is a brief and focused introduction to the reverse mathematics and computability theory of combinatorial principles, an area of research which has see
Reverse Mathematics
Language: en
Pages: 198
Authors: John Stillwell
Categories: Mathematics
Type: BOOK - Published: 2019-09-24 - Publisher: Princeton University Press

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This volume presents reverse mathematics to a general mathematical audience for the first time. Stillwell gives a representative view of this field, emphasizing
Harvey Friedman's Research on the Foundations of Mathematics
Language: en
Pages: 407
Authors: L.A. Harrington
Categories: Mathematics
Type: BOOK - Published: 1985-11-01 - Publisher: Elsevier

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This volume discusses various aspects of Harvey Friedman's research in the foundations of mathematics over the past fifteen years. It should appeal to a wide au