Philosophy of Mathematics: Classic and Contemporary Studies: Textbooks in Mathematics
Autor Ahmet Ceviken Limba Engleză Paperback – 10 noi 2021
With this new approach, the author rekindles an interest in philosophical subjects surrounding the foundations of mathematics. He offers the mathematical motivations behind the topics under debate. He introduces various philosophical positions ranging from the classic views to more contemporary ones, including subjects which are more engaged with mathematical logic.
Most books on philosophy of mathematics have little to no focus on the effects of philosophical views on mathematical practice, and no concern on giving crucial mathematical results and their philosophical relevance, consequences, reasons, etc. This book fills this gap.
The book can be used as a textbook for a one-semester or even one-year course on philosophy of mathematics.
"Other textbooks on the philosophy of mathematics are aimed at philosophers. This book is aimed at mathematicians. Since the author is a mathematician, it is a valuable addition to the literature."
- Mark Balaguer, California State University, Los Angeles
"There are not many such texts available for mathematics students. I applaud efforts to foster the dialogue between mathematics and philosophy."
- Michele Friend, George Washington University and CNRS, Lille, France
Toate formatele și edițiile | Preț | Express |
---|---|---|
Paperback (1) | 337.63 lei 6-8 săpt. | |
CRC Press – 10 noi 2021 | 337.63 lei 6-8 săpt. | |
Hardback (1) | 485.91 lei 6-8 săpt. | |
CRC Press – 10 noi 2021 | 485.91 lei 6-8 săpt. |
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Specificații
ISBN-13: 9781032022680
ISBN-10: 103202268X
Pagini: 352
Ilustrații: 44
Dimensiuni: 156 x 234 x 19 mm
Greutate: 0.51 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Textbooks in Mathematics
ISBN-10: 103202268X
Pagini: 352
Ilustrații: 44
Dimensiuni: 156 x 234 x 19 mm
Greutate: 0.51 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Textbooks in Mathematics
Public țintă
Postgraduate, Professional, and Undergraduate AdvancedNotă biografică
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.
Cuprins
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
Recenzii
"The philosophically minded mathematician will find every penny and every second engaged with this book well spent." - Firdous Ahmad Mala, The Mathematical Intelligencer
Descriere
This book explores the foundations of mathematical thought. The aim of this book is to encourage young mathematicians into thinking about the philosophical issues behind fundamental concepts and about different views on mathematical objects and mathematical knowledge.