Philosophy of Mathematics
eBook - ePub

Philosophy of Mathematics

Classic and Contemporary Studies

  1. 338 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Philosophy of Mathematics

Classic and Contemporary Studies

About this book

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.

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

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Yes, you can access Philosophy of Mathematics by Ahmet Cevik in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Series Page
  4. Title Page
  5. Copyright Page
  6. Contents
  7. Preface
  8. 1 Introduction
  9. 2 Mathematical Preliminaries
  10. 3 Platonism
  11. 4 Intuitionism
  12. 5 Logicism
  13. 6 Formalism
  14. * 7 Gödel's Incompleteness Theorem and Computability
  15. 8 The Church-Turing Thesis
  16. 9 Infinity
  17. * 10 Supertasks
  18. * 11 Models, Completeness, and Skolem's Paradox
  19. 12 Axiom of Choice
  20. 13 Naturalism
  21. 14 Structuralism
  22. 15 Yablo's Paradox
  23. 16 Mathematical Pluralism
  24. * 17 Does Mathematics Need More Axioms?
  25. 18 Mathematical Nominalism
  26. Bibliography
  27. Index