The philosophers and mathematics : festschrift for Roshdi Rashed
著者
書誌事項
The philosophers and mathematics : festschrift for Roshdi Rashed
（Logic, epistemology, and the unity of science / editors, Shahid Rahman, John Symons, v. 43）
Springer, c2018
- : hardback
大学図書館所蔵 件 / 全1件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references and indexes
内容説明・目次
内容説明
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.
目次
Chapter 1. Analogy and Invention: Some Remarks on Poincare'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. (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 Sina (Hassan Tahiri).
「Nielsen BookData」 より
