Mathematical knowledge, objects and applications : essays in memory of Mark Steiner / Carl Posy, Yemima Ben-Menahem, editors.
Steiner, Mark, honouree.; Posy, Carl J., editor.; Ben-Menahem, Yemima, 1946- editor.
2023
QA8.4
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Title Mathematical knowledge, objects and applications : essays in memory of Mark Steiner / Carl Posy, Yemima Ben-Menahem, editors.
ISBN 9783031216558 (electronic bk.)
3031216555 (electronic bk.)
9783031216541
3031216547
DOI https://doi.org/10.1007/978-3-031-21655-8
Published Cham : Springer, 2023.
Language English
Description 1 online resource (360 pages) : illustrations (black and white, and color).
Other Standard Identifiers 10.1007/978-3-031-21655-8 doi
Call Number QA8.4
Dewey Decimal Classification 510.1
Summary 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 mathematics to the physical world. Some of these issues go back to the nascent years of mathematics itself, others are just beginning to draw the attention of scholars. In addressing these question, some of the papers in this volume wrestle with them directly, while others use the writings of philosophers such as Hume and Wittgenstein to approach their problems by way of interpretation and critique. These issues and these approaches lay at the heart of Mark Steiners work throughout his career. They are addressed in the present volume by prominent philosophers of science and of mathematics as well as promising younger scholars. The volume seeks to share the concerns of philosophers of mathematics and of science with a wider audience and will be of interest to historians, mathematicians and philosophers alike.
Access Note Access limited to authorized users.
Source of Description Description based on print version record.
Added Author Steiner, Mark, honouree.
Posy, Carl J., editor.
Ben-Menahem, Yemima, 1946- editor.
Series Jerusalem studies in philosophy and history of science.
Available in Other Form Mathematical knowledge, objects and applications.
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Preface
Chapter 1. Introduction
Chapter 2. Purity and Explanation: Essentially Linked?
Chapter 3. Rules, Conventions, and Regularities
Chapter 4. On Mathematical Explanation
Chapter 5. Steiners 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 Humes Treatise View of Geometry
Index.

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