1st Edition
Philosophy of Mathematics Classic and Contemporary Studies
By Ahmet Cevik
Copyright 2022
352 Pages
22 B/W Illustrations
by
Chapman & Hall
352 Pages
22 B/W Illustrations
by
Chapman & Hall
352 Pages
22 B/W Illustrations
by
Chapman & Hall
Also available as eBook on:
The philosophy of mathematics is an exciting subject. Philosophy of Mathematics: Classic and Contemporary Studies explores the foundations of mathematical thought. The aim of this book is to encourage young mathematicians to think about the philosophical issues behind fundamental concepts and about different views on mathematical objects and mathematical knowledge.
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1. Introduction
2. Mathematical Preliminaries
3. Platonism
4. Intuitionism
5. Logicism
6. Formalism
7. Gödel’s Incompleteness Theorem and Computability
8. The Church-Turing Thesis
9. Infinity
10. Supertasks
11. Models, Completeness, and Skolem’s Paradox
12. Axiom of Choice
13. Naturalism
14. Structuralism
15. Yablo’s Paradox
16. Mathematical Pluralism
17. Does Mathematics Need More Axioms?
18. Mathematical Nominalism
2. Mathematical Preliminaries
3. Platonism
4. Intuitionism
5. Logicism
6. Formalism
7. Gödel’s Incompleteness Theorem and Computability
8. The Church-Turing Thesis
9. Infinity
10. Supertasks
11. Models, Completeness, and Skolem’s Paradox
12. Axiom of Choice
13. Naturalism
14. Structuralism
15. Yablo’s Paradox
16. Mathematical Pluralism
17. Does Mathematics Need More Axioms?
18. Mathematical Nominalism
Biography
Ahmet Çevik is Associate Professor of logic and foundations of mathematics, working in both mathematical and philosophical domains. He holds a Ph.D. from the University of Leeds, UK. Ahmet was postdoctoral visitor in the Department of Mathematics at the University of California, Berkeley. He has lectured at Middle East Technical University and is affiliated with the Gendarmerie and Coast Guard Academy, in Ankara, Turkey. His research interests are mathematical logic, recursion theory, theoretical computer science, and philosophy of mathematics.
"The philosophically minded mathematician will find every penny and every second engaged with this book well spent." - Firdous Ahmad Mala, The Mathematical Intelligencer
