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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Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Edice:Logic, Epistemology, and the Unity of Science, 43
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ISBN:9783319937335
ISSN:2214-9775 ;
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245 1 4 |a The Philosophers and Mathematics  |h [electronic resource] :  |b Festschrift for Roshdi Rashed /  |c edited by Hassan Tahiri. 
250 |a 1st ed. 2018. 
260 1 |a Cham :  |b Springer International Publishing,  |c 2018. 
300 |a XLIII, 320 p. 11 illus.  |b online resource. 
490 1 |a Logic, Epistemology, and the Unity of Science,  |x 2214-9775 ;  |v 43 
500 |a Religion and Philosophy  
505 0 |a 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). 
516 |a text file PDF 
520 |a 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. 
650 0 |a Mathematics-Philosophy. 
650 0 |a Mathematics. 
650 0 |a History. 
650 0 |a Mathematical logic. 
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