Leseprobe
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The Philosophers and Mathematics
Hassan Tahiri (Hrsg.)
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Springer International Publishing 
Geisteswissenschaften, Kunst, Musik / Sonstiges
Beschreibung
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.
Kundenbewertungen
Gian-Carlo Rota’s Algebraization of Probability, Aristotle’s Philosophy of Nature, Analogy in Poincaré’s Mathematical Practice, Axiom of Choice, Avicenna’s Theory of Knowledge, Avicenna’s Analytical Philosophy, The Foundations of Geometry: Gassmann Peano Hilbert, The Comprehension Principle and Predicativity, Jules Vuillemin’s Systematic Philosophy, Kolmogorov’s Axiomatization of Probability, Husserl’s Phenomenology, Dialogical Logic, Abstract Algebra, Hilbert’s Axiomatic Method and Proof Theory, Theory and Practice in Mathematics, Hilbert and Husserl on Critical Thinking, Kant’s Transcendatenlism, Constructive Type Theory, Frege’s Logicism and Russell’s Paradox, Russell’s Zigzag Theory