The Philosophers and Mathematics
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The Philosophers and Mathematics: Festschrift for Roshdi Rashed(43 Logic, Epistemology, and the Unity of Science)

The Philosophers and Mathematics: Festschrift for Roshdi Rashed(43 Logic, Epistemology, and the Unity of Science)

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About the 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.

Table of Contents:
Chapter 1. Analogy and Invention: Some Remarks on Poincaré’s Analysis Situs Papers (Claudio Bartocci).- Chapter 2. Scientific Philosophy and Philosophical Science (Hourya Benis Sinaceur).- Chapter 3. Avicenna and Number Theory (Pascal Crozet).- Chapter 4. Zigzag and Fregean Arithmetic (Fernando Ferreira).- Chapter 5. The Foundations of Geometry by Peano’s School and Some Epistemological Considerations (Paolo Freguglia).- Chapter 6. Μηδεὶς ἀγεωμέτρητος εἰσίτω (Reinhard Kahle).- Chapter 7. Enthymemathical Proofs and Canonical Proofs in Euclid’s Plane Geometry (Abel Lassalle-Cazanave).- Chapter 8. Some Reasons to Reopen the Question of the Foundation of Probability Theory Following Gian-Carlo Rota (Carlos Lobo).- Chapter 9. Mathematics and the Physical World in Aristotle (Pierre Pellegrin).- Chapter 10. The Axiom of Choice as Interaction. Brief Remarks on the Principle of Dependent 179 Choices in a Dialogical Setting (Shahid Rahman).- Chapter 11. Avicenna: Mathematics and Philosophy (Roshdi Rashed).- Chapter 12. For a Continued Revival of the Philosophy of Mathematics (Jean-Jaques Szczeciniarz).- Chapter 13. The Foundations of Arithmetic in Ibn Sīnā (Hassan Tahiri).


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Product Details
  • ISBN-13: 9783319937328
  • Publisher: Springer International Publishing AG
  • Publisher Imprint: Springer International Publishing AG
  • Height: 235 mm
  • No of Pages: 320
  • Series Title: 43 Logic, Epistemology, and the Unity of Science
  • Width: 155 mm
  • ISBN-10: 3319937324
  • Publisher Date: 23 Aug 2018
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Sub Title: Festschrift for Roshdi Rashed


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