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Reflections on the Foundations of Mathematics

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Cover of 'Reflections on the Foundations of Mathematics'

Table of Contents

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    Book Overview
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    Chapter 1 Interview With a Set Theorist
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    Chapter 2 How to Choose New Axioms for Set Theory?
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    Chapter 3 Maddy On The Multiverse
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    Chapter 4 Proving Theorems from Reflection
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    Chapter 5 Naïve Type Theory
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    Chapter 6 Univalent Foundations and the Equivalence Principle
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    Chapter 7 Higher Structures in Homotopy Type Theory
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    Chapter 8 Univalent Foundations and the UniMath Library
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    Chapter 9 Models of HoTT and the Constructive View of Theories
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    Chapter 10 Set Theory and Structures
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    Chapter 11 A New Foundational Crisis in Mathematics, Is It Really Happening?
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    Chapter 12 A Comparison of Type Theory with Set Theory
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    Chapter 13 What Do We Want a Foundation to Do?
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    Chapter 14 Formal and Natural Proof: A Phenomenological Approach
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    Chapter 15 Varieties of Pluralism and Objectivity in Mathematics
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    Chapter 16 From the Foundations of Mathematics to Mathematical Pluralism
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    Chapter 17 Does Mathematics Need Foundations?
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    Chapter 18 Foundations for the Working Mathematician, and for Their Computer
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    Chapter 19 How to Frame a Mathematician
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    Chapter 20 Formalising Mathematics in Simple Type Theory
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    Chapter 21 Dynamics in Foundations: What Does It Mean in the Practice of Mathematics?
Attention for Chapter 10: Set Theory and Structures
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Chapter title
Set Theory and Structures
Chapter number 10
Book title
Reflections on the Foundations of Mathematics
Published by
Springer, Cham, January 2019
DOI 10.1007/978-3-030-15655-8_10
Book ISBNs
978-3-03-015654-1, 978-3-03-015655-8
Authors

Neil Barton, Sy-David Friedman, Barton, Neil, Friedman, Sy-David

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 5 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 5 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 2 40%
Student > Postgraduate 1 20%
Unknown 2 40%
Readers by discipline Count As %
Linguistics 1 20%
Nursing and Health Professions 1 20%
Agricultural and Biological Sciences 1 20%
Engineering 1 20%
Unknown 1 20%