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Mathematical knowledge, objects and ...

Steiner, Mark.

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Mathematical knowledge, objects and applications = essays in memory of Mark Steiner /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical knowledge, objects and applications/ edited by Carl Posy, Yemima Ben-Menahem.
Reminder of title:	essays in memory of Mark Steiner /
other author:	Steiner, Mark.
Published:	Cham :Springer International Publishing : : 2023.,
Description:	1 online resource (xxii, 393 p.) :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Mathematics - Philosophy. -
Online resource:	https://doi.org/10.1007/978-3-031-21655-8
ISBN:	9783031216558

Mathematical knowledge, objects and applications = essays in memory of Mark Steiner /
Mathematical knowledge, objects and applicationsessays in memory of Mark Steiner /[electronic resource] :edited by Carl Posy, Yemima Ben-Menahem. - Cham :Springer International Publishing :2023. - 1 online resource (xxii, 393 p.) :ill., digital ;24 cm. - Jerusalem studies in philosophy and history of science,2524-4256. - Jerusalem studies in philosophy and history of science..

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.

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 Steiner's 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.

ISBN: 9783031216558

Standard No.: 10.1007/978-3-031-21655-8doiSubjects--Topical Terms:

523930
Mathematics
--Philosophy.

LC Class. No.: QA8.4

Dewey Class. No.: 510.1

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505 0 $a 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.
520 $a 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 Steiner's 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.
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