Download or read book Mathematics and Philosophy written by Daniel Parrochia and published by John Wiley & Sons. This book was released on 2018-07-24 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, which studies the links between mathematics and philosophy, highlights a reversal. Initially, the (Greek) philosophers were also mathematicians (geometers). Their vision of the world stemmed from their research in this field (rational and irrational numbers, problem of duplicating the cube, trisection of the angle...). Subsequently, mathematicians freed themselves from philosophy (with Analysis, differential Calculus, Algebra, Topology, etc.), but their researches continued to inspire philosophers (Descartes, Leibniz, Hegel, Husserl, etc.). However, from a certain level of complexity, the mathematicians themselves became philosophers (a movement that begins with Wronsky and Clifford, and continues until Grothendieck).
Download or read book Philosophie des math matiques written by Jean-Michel Salanskis and published by Vrin. This book was released on 2008 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Réflexions sur les rapports et les limites entre philosophie et mathématique.
Download or read book La philosophie math matique de Bertrand Russell written by Denis Vernant and published by Vrin. This book was released on 1993 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Par le terme de philosophie mathematique , Bertrand Russell designe une philosophie qui s'efforce d'expliquer les principes logiques sur lesquels reposent les mathematiques. Portant sur l'ensemble de l'oeuvre logico-mathematique de Russell, depuis les Principles of Mathematics jusqu'aux Principia Mathematica en passant par On Denoting , cette etude reconstitue la genese de la logique russellienne a partir d'une reflexion grammaticale et scrute l'analyse philosophique des concepts et propositions mathematiques qui gouverne leur reduction logiciste. L'auteur, adoptant une approche historique, souligne, a travers evolutions et ruptures, la coherence d'une authentique pensee.
Download or read book The Philosophers and Mathematics written by Hassan Tahiri and published by Springer. This book was released on 2018-08-14 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Philosophy of Mathematics in the Twentieth Century written by Charles Parsons and published by Harvard University Press. This book was released on 2014-03-17 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this illuminating collection, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the course of the past century. Parsons begins with a discussion of the Kantian legacy in the work of L. E. J. Brouwer, David Hilbert, and Paul Bernays, shedding light on how Bernays revised his philosophy after his collaboration with Hilbert. He considers Hermann Weyl’s idea of a “vicious circle” in the foundations of mathematics, a radical claim that elicited many challenges. Turning to Kurt Gödel, whose incompleteness theorem transformed debate on the foundations of mathematics and brought mathematical logic to maturity, Parsons discusses his essay on Bertrand Russell’s mathematical logic—Gödel’s first mature philosophical statement and an avowal of his Platonistic view. Philosophy of Mathematics in the Twentieth Century insightfully treats the contributions of figures the author knew personally: W. V. Quine, Hilary Putnam, Hao Wang, and William Tait. Quine’s early work on ontology is explored, as is his nominalistic view of predication and his use of the genetic method of explanation in the late work The Roots of Reference. Parsons attempts to tease out Putnam’s views on existence and ontology, especially in relation to logic and mathematics. Wang’s contributions to subjects ranging from the concept of set, minds, and machines to the interpretation of Gödel are examined, as are Tait’s axiomatic conception of mathematics, his minimalist realism, and his thoughts on historical figures.
Download or read book Math matiques et philosophie written by Daniel Parrochia and published by ISTE Group. This book was released on 2017-09-01 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Les mathématiques n’ont jamais cessé de fournir au philosophe des occasions, des outils ainsi que des instruments pour penser, et ce, quels que soient les progrès et les révolutions qu’elles aient connues. Mathématiques et philosophie retrace les rapports riches et complexes qu’entretiennent ces deux disciplines de l’Antiquité (Platon) à nos jours (Grothendieck), en passant par le Moyen Age (de Cues), les XVIIe (Descartes, Pascal, Leibniz), XIXe (Hegel, Comte, Wronski, Clifford) et XXe siècles (Husserl, Whitehead, Lautman, Thom). Il examine l’impact des mathématiques sur les représentations philosophiques en Occident au cours du temps, afin d’en dégager des enseignements pour l’époque présente. Cet ouvrage répond à des problématiques essentielles : comprendre ce que le philosophe peut aujourd’hui encore tirer des mathématiques et identifier la mesure dans laquelle cette science peut aider les philosophes à bâtir une nouvelle vision du monde.
Download or read book Les tapes de la philosophie math matique written by Léon Brunschvicg and published by . This book was released on 1912 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Principes math matiques de la philosophie naturelle written by Isaac Newton and published by . This book was released on 1759 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Philosophy of Mathematics Translated from the Cours de Philosophie Positive of Auguste Comte by W M Gillespie written by Auguste Comte and published by . This book was released on 1851 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Architecture of Modern Mathematics written by J. Ferreiros and published by OUP Oxford. This book was released on 2006-04-27 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging account of how a number of topics in the philosophy of mathematics must be reconsidered in the light of the latest historical research, and how a number of historical accounts can be deepened by embracing philosophical questions.
Download or read book Philosophie math matique written by Jean Cavailles and published by . This book was released on 1984 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ses tapes de la philosophie Math matique written by Léon Brunschvicg and published by . This book was released on 1912 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematics Ideas and the Physical Real written by Albert Lautman and published by A&C Black. This book was released on 2011-06-02 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Albert Lautman (1908-1944) was a French philosopher of mathematics whose work played a crucial role in the history of contemporary French philosophy. His ideas have had an enormous influence on key contemporary thinkers including Gilles Deleuze and Alain Badiou, for whom he is a major touchstone in the development of their own engagements with mathematics. Mathematics, Ideas and the Physical Real presents the first English translation of Lautman's published works between 1933 and his death in 1944. Rather than being preoccupied with the relation of mathematics to logic or with the problems of foundation, which have dominated philosophical reflection on mathematics, Lautman undertakes to develop an understanding of the broader structure of mathematics and its evolution. The two powerful ideas that are constants throughout his work, and which have dominated subsequent developments in mathematics, are the concept of mathematical structure and the idea of the essential unity underlying the apparent multiplicity of mathematical disciplines. This collection of his major writings offers readers a much-needed insight into his influence on the development of mathematics and philosophy.
Download or read book Lectures on the Philosophy of Mathematics written by James Byrnie Shaw and published by . This book was released on 1918 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book New Directions in the Philosophy of Mathematics written by Thomas Tymoczko and published by Princeton University Press. This book was released on 1998-02 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: The traditional debate among philosophers of mathematics is whether there is an external mathematical reality, something out there to be discovered, or whether mathematics is the product of the human mind. This provocative book, now available in a revised and expanded paperback edition, goes beyond foundationalist questions to offer what has been called a "postmodern" assessment of the philosophy of mathematics--one that addresses issues of theoretical importance in terms of mathematical experience. By bringing together essays of leading philosophers, mathematicians, logicians, and computer scientists, Thomas Tymoczko reveals an evolving effort to account for the nature of mathematics in relation to other human activities. These accounts include such topics as the history of mathematics as a field of study, predictions about how computers will influence the future organization of mathematics, and what processes a proof undergoes before it reaches publishable form. This expanded edition now contains essays by Penelope Maddy, Michael D. Resnik, and William P. Thurston that address the nature of mathematical proofs. The editor has provided a new afterword and a supplemental bibliography of recent work.
Download or read book La math matique philosophie enseignement written by C. A. Laisant and published by . This book was released on 1898 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book La math matique written by Charles-Ange Laisant and published by . This book was released on 1898 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
