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Mathematical Knowledge, Objects and Applications Essays in Memory of Mark Steiner

This book provides a survey of a number of the major issues in the philosophy of mathematics, such as ontological questions regarding the nature of mathematical objects, epistemological questions about the acquisition of mathematical knowledge, and the intriguing riddle of the applicability of mathe...

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Bibliographic Details
Other Authors: Posy, Carl (Editor), Ben-Menahem, Yemima (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2023, 2023
Edition:1st ed. 2023
Series:Jerusalem Studies in Philosophy and History of Science
Subjects:
Metaphysics
Knowledge, Theory Of
Philosophy Of Mathematics
Epistemology
Mathematics—philosophy
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Preface
  • Chapter 1. Introduction
  • Chapter 2. Purity and Explanation: Essentially Linked?
  • Chapter 3. Rules, Conventions, and Regularities
  • Chapter 4. On Mathematical Explanation
  • Chapter 5. Steiner’s Wittgenstein
  • Chapter 6. Logic Discovered and Imposed
  • Chapter 7. Mathematical Analogies and Applicability in Physics
  • Chapter 8. Learning Cardinals and Ordinals
  • Chapter 9. Buck Stopping and Identification of Numbers
  • Chapter 10. Platonism and the Proto-Ontology of Mathematics
  • Chapter 11. Potential infinity, Mathematical Explanation and de re Reference to Mathematical Objects
  • Chapter 12. Mathematics and Physical Discovery
  • Chapter 13. Observer Dependent Naturalism
  • Chapter 14. David Hume’s Treatise View of Geometry
  • Index

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