Overview
- Clarifies the nature of the relationship between mathematics and philosophy throughout history
- Examines the ways philosophy and mathematics helped each other expand and transform
- Features historical examples throughout to vividly illustrate important points
Part of the book series: Logic, Epistemology, and the Unity of Science (LEUS, volume 43)
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Table of contents (13 chapters)
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Front Matter
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Back Matter
Keywords
- Abstract Algebra
- Analogy in Poincaré’s Mathematical Practice
- Aristotle’s Philosophy of Nature
- Avicenna’s Analytical Philosophy
- Avicenna’s Theory of Knowledge
- Axiom of Choice
- The Comprehension Principle and Predicativity
- Constructive Type Theory
- Hilbert and Husserl on Critical Thinking
- Dialogical Logic
- The Foundations of Geometry: Gassmann Peano Hilbert
- Frege’s Logicism and Russell’s Paradox
- Hilbert’s Axiomatic Method and Proof Theory
- Husserl’s Phenomenology
- Kant’s Transcendatenlism
- Kolmogorov’s Axiomatization of Probability
- Gian-Carlo Rota’s Algebraization of Probability
- Russell’s Zigzag Theory
- Theory and Practice in Mathematics
- Jules Vuillemin’s Systematic Philosophy
About this book
This book explores the unique relationship between two different approaches to understand the nature of knowledge, reality, and existence. It collects essays that examine the distinctive historical relationship between mathematics and philosophy. Readers learn what key philosophers throughout the ages thought about mathematics. This includes both thinkers who recognized the relevance of mathematics to their own work as well as those who chose to completely ignore its many achievements.
The essays offer insight into the role that mathematics played in the formation of each included philosopher’s doctrine as well as the impact its remarkable expansion had on the philosophical systems each erected. Conversely, the authors also highlight the ways that philosophy contributed to the growth and transformation of mathematics. Throughout, significant historical examples help to illustrate these points in a vivid way.
Mathematics has often been a favored interlocutor of philosophers and a major source of inspiration. This book is the outcome of an international conference held in honor of Roshdi Rashed, a renowned historian of mathematics. It provides researchers, students, and interested readers with remarkable insights into the history of an important relationship throughout the ages.
Editors and Affiliations
About the editor
Bibliographic Information
Book Title: The Philosophers and Mathematics
Book Subtitle: Festschrift for Roshdi Rashed
Editors: Hassan Tahiri
Series Title: Logic, Epistemology, and the Unity of Science
DOI: https://doi.org/10.1007/978-3-319-93733-5
Publisher: Springer Cham
eBook Packages: Religion and Philosophy, Philosophy and Religion (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-93732-8Published: 23 August 2018
Softcover ISBN: 978-3-030-06712-0Published: 22 December 2018
eBook ISBN: 978-3-319-93733-5Published: 14 August 2018
Series ISSN: 2214-9775
Series E-ISSN: 2214-9783
Edition Number: 1
Number of Pages: XLIII, 320
Number of Illustrations: 11 b/w illustrations
Topics: Philosophy of Mathematics, History of Mathematical Sciences, Mathematical Logic and Foundations