The Philosophers and Mathematics Festschrift for Roshdi Rashed /

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 ag...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Tahiri, Hassan (Editor, http://id.loc.gov/vocabulary/relators/edt)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
Edition:1st ed. 2018.
Series:Logic, Epistemology, and the Unity of Science, 43
Subjects:
Online Access:Full Text via HEAL-Link
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).