Download or read book Introduction la philosophie math matique written by Bertrand Russell and published by . This book was released on 1991 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pour le grand public cultivé, Bertrand Russell (1872-1970) a laissé son nom à deux choses : un paradoxe et un tribunal. Le tribunal Russell, ou Tribunal international pour les crimes de guerre, fondé en 1966, avait vocation à " exposer à la conscience de l'humanité " les violations du droit des gens commises pendant la guerre du Viêt-nam. Le paradoxe de Russell, découvert au printemps de 1901, touchait aux fondements logiques les plus profonds de la pensée : il devait ouvrir la " crise des fondements " en philosophie des mathématiques. Qu'il s'agisse de logique ou de guerre, une même passion anime Russell, celle de la Vérité. En 1919, Russell écrit cette Introduction à la philosophie mathématique, tentative pour reconstruire les mathématiques en tirant la leçon du (des) paradoxes(s). On trouvera dans cet ouvrage, écrit en prison, une présentation non technique de cette philosophie des mathématiques qu'on appelle le Logicisme. On y découvrira également, en particulier dans les derniers chapitres, les grands traits d'une philosophie de la logique.
Download or read book Introduction la philosophie des math matiques written by Marco Panza and published by . This book was released on 2013 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage n'a aucun équivalent dans la littérature philosophique française et étrangère, hormis le classique de Léon Brunschvicg, Les étapes de la philosophie mathématique, paru chez Alcan en 1912. Il se concentre sur le devenir d'un argument majeur en philosophie des mathématique, voire son argument ontologique fondamental : le platonisme ou réalisme mathématique, soit la thèse selon laquelle les assertions des mathématiques, notamment les théorèmes des mathématiques, font référence à un domaine d'objet abstrait, une réalité séparée aussi bien du monde physique que des vécus psychiques, c'est-à-dire des deux dimensions, externes et internes, de notre expérience. Cette thèse, dont on va suivre toutes les vicissitudes depuis sa formulation initiale, n'est pas considérée du point de vue métaphysique traditionnel, mais bien d'un point de vue épistémologique : dans son opérativité propre, sa valeur explicative relativement au domaine même des mathématiques. La première partie suit l'histoire du platonisme mathématique, des origines à Gödel (1930). La seconde partie se consacre de façon neuve à un chapitre de l'histoire contemporaine de la philosophie des mathématiques : chapitre aujourd'hui fort connu dans le monde anglophone, mais qui n'avait jamais trouvé sa place dans l'historiographie philosophique en langue française. La dernière partie aborde l'une des controverses majeures qui traverse actuellement le champ de la philosophie contemporaine des mathématiques. Il s'agit de la dernière défense et illustration du platonisme en philosophie des mathématiques, née dans une certaine mesure d'une résolution du dilemme de Benacerraf, et représentée par Willard van Orman Quine.
Download or read book Lectures on the Philosophy of Mathematics written by Friedrich Waismann and published by BRILL. This book was released on 2022-11-07 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Philosophy of Mathematics written by James Robert Brown and published by Routledge. This book was released on 2005-08-09 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosophy of Mathematics is an excellent introductory text. This student friendly book discusses the great philosophers and the importance of mathematics to their thought. It includes the following topics: * the mathematical image * platonism * picture-proofs * applied mathematics * Hilbert and Godel * knots and nations * definitions * picture-proofs and Wittgenstein * computation, proof and conjecture. The book is ideal for courses on philosophy of mathematics and logic.
Download or read book Introduction to Mathematical Philosophy written by Bertrand Russell and published by . This book was released on 1920 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Historical Introduction to Mathematical Literature written by George Abram Miller and published by . This book was released on 1916 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Thought written by E.W. Beth and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: In contributing a foreword to this book I am complying with a wish my husband expressed a few days before his death. He had completed the manuscript of this work, which may be considered a companion volume to his book Formal Methods. The task of seeing it through the press was undertaken by Mr. J. J. A. Mooij, acting director of the Institute for Research in Foundations and the Philosophy of Science (Instituut voor Grondslagenonderzoek en Filoso:fie der Exacte Wetenschappen) of the University of Amsterdam, with the help of Mrs. E. M. Barth, lecturer at the Institute. I wish to thank Mr. Mooij and Mrs. Barth most cordially for the care with which they have acquitted themselves of this delicate task and for the speed with which they have brought it to completion. I also wish to express my gratitude to Miss L. E. Minning, M. A. , for the helpful advice she has so kindly given to Mr. Mooij and Mrs. Barth during the proof reading. C. P. C. BETH-PASTOOR VII PREFACE A few years ago Mr. Horace S.
Download or read book Introduction to Mathematical Philosophy written by Bertrand Russell and published by Read Books Ltd. This book was released on 2013-01-21 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1919, this work on the philosophy of mathematics is both expensive and hard to find in its first edition. It contains Bertrand Russell's ideas on number definition, cardinal numbers, propositional functions and much more. This is a fascinating work and thoroughly recommended for anyone interested in the philosophy of mathematics. Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
Download or read book Introducing Philosophy of Mathematics written by Michele Friend and published by Routledge. This book was released on 2014-12-05 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these and other ontological and epistemological problems raised by the content and practice of mathematics. Aimed at a readership with limited proficiency in mathematics but with some experience of formal logic it seeks to strike a balance between conceptual accessibility and correct representation of the issues. Friend examines the standard theories of mathematics - Platonism, realism, logicism, formalism, constructivism and structuralism - as well as some less standard theories such as psychologism, fictionalism and Meinongian philosophy of mathematics. In each case Friend explains what characterises the position and where the divisions between them lie, including some of the arguments in favour and against each. This book also explores particular questions that occupy present-day philosophers and mathematicians such as the problem of infinity, mathematical intuition and the relationship, if any, between the philosophy of mathematics and the practice of mathematics. Taking in the canonical ideas of Aristotle, Kant, Frege and Whitehead and Russell as well as the challenging and innovative work of recent philosophers like Benacerraf, Hellman, Maddy and Shapiro, Friend provides a balanced and accessible introduction suitable for upper-level undergraduate courses and the non-specialist.
Download or read book An Introduction to the Philosophy of Mathematics written by Mark Colyvan and published by Cambridge University Press. This book was released on 2012-06-14 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the philosophy of mathematics focuses on contemporary debates in an important and central area of philosophy. The reader is taken on a fascinating and entertaining journey through some intriguing mathematical and philosophical territory, including such topics as the realism/anti-realism debate in mathematics, mathematical explanation, the limits of mathematics, the significance of mathematical notation, inconsistent mathematics and the applications of mathematics. Each chapter has a number of discussion questions and recommended further reading from both the contemporary literature and older sources. Very little mathematical background is assumed and all of the mathematics encountered is clearly introduced and explained using a wide variety of examples. The book is suitable for an undergraduate course in philosophy of mathematics and, more widely, for anyone interested in philosophy and mathematics.
Download or read book Deleuze and the History of Mathematics written by Simon Duffy and published by A&C Black. This book was released on 2013-07-04 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gilles Deleuze's engagements with mathematics, replete in his work, rely upon the construction of alternative lineages in the history of mathematics, which challenge some of the self imposed limits that regulate the canonical concepts of the discipline. For Deleuze, these challenges are an opportunity to reconfigure particular philosophical problems - for example, the problem of individuation - and to develop new concepts in response to them. The highly original research presented in this book explores the mathematical construction of Deleuze's philosophy, as well as addressing the undervalued and often neglected question of the mathematical thinkers who influenced his work. In the wake of Alain Badiou's recent and seemingly devastating attack on the way the relation between mathematics and philosophy is configured in Deleuze's work, Simon Duffy offers a robust defence of the structure of Deleuze's philosophy and, in particular, the adequacy of the mathematical problems used in its construction. By reconciling Badiou and Deleuze's seeming incompatible engagements with mathematics, Duffy succeeds in presenting a solid foundation for Deleuze's philosophy, rebuffing the recent challenges against it.
Download or read book Introduction la philosophie des math matiques et technie de l algorithmie par M Ho n de Wronski written by Józef Maria Hoene-Wroński and published by . This book was released on 1811 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Mathematical Philosophy written by Bertrand Russell and published by Createspace Independent Publishing Platform. This book was released on 2017-06-20 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Mathematical Philosophy is a work by Bertrand Russell, written in part to discuss less technically the central concepts of his and Whitehead's Principia Mathematica, including the theory of descriptions. Historically speaking, mathematics and logic have been entirely distinct studies. Mathematics connected with science and logic with Greek. But now, both have developed in contemporary times: philosophy has become more and more mathematical, and mathematics has become more logical. The obvious consequence is that it has now become completely impossible to draw a line to separate the two; in fact, now, both are one. They contrast as boy and man: logic is the youth version of mathematics and mathematics is the adulthood of logic. Logicians dislike this because, having spent their time in the study of classical texts, are incompetent to follow a piece of symbolic reasoning, and also by mathematicians who have learned a technique without bothering to inquire into its proof, meaning, or justification. Both types are fortunately growing rarer. So much that modern mathematical work is obviously on the borderline of logic, and modern philosophy is formal and symbolic, that the very close relationship between logic and mathematics are evident to every instructed student. The proof of it is a matter of detail. Beginning with premises that would be universally admitted to belong to logic, and arriving by deduction at results which as unmistakably belong to mathematics, we now find that there is no purpose for a sharp line to divide them, with logic and mathematics side by side. If there are still people who do not recognize the identity of logic and mathematics, we may challenge them to indicate the reason, in the successive definitions and conclusions of Principia Mathematica concludes that logic ends and math begins. It will then be evident that any answer need be entirely arbitrary.
Download or read book Introduction to Mathematical Philosophy written by Bertrand Russell and published by Theclassics.Us. This book was released on 2013-09 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1920 edition. Excerpt: ... CHAPTER XII SELECTIONS AND THE MULTIPLICATIVE AXIOM In this chapter we have to consider an axiom which can be enunciated, but not proved, in terms of logic, and which is convenient, though not indispensable, in certain portions of mathematics. It is convenient, in the sense that many interesting propositions, which it seems natural to suppose true, cannot be proved without its help; but it is not indispensable, because even without those propositions the subjects in which they occur still exist, though in a somewhat mutilated form. Before enunciating the multiplicative axiom, we must first explain the theory of selections, and the definition of multiplication when the number of factors may be infinite. In defining the arithmetical operations, the only correct procedure is to construct an actual class (or relation, in the case of relation-numbers) having the required number of terms. This sometimes demands a certain amount of ingenuity, but it is essential in order to prove the existence of the number defined. Take, as the simplest example, the case of addition. Suppose we are given a cardinal number fi, and a class a which has fi terms. How shall we define j DEGREES+ju.? For this purpose we must have two classes having /x terms, and they must not overlap. We can construct such classes from a in various ways, of which the following is perhaps the simplest: Form first all the ordered couples whose first term is a class consisting of a single member of a, and whose second term is the null-class; then, secondly, form all the ordered couples whose first term is the null-class and whose second term is a class consisting of a single member of a. These two classes of couples have no member in common, and the logical sum of the two classes will
Download or read book Introduction to Mathematical Philosophy written by Bertrand Russell and published by London : G. Allen and Unwin. This book was released on 1975 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Not to be confused with the philosophy of mathematics, mathematical philosophy is the structured set of rules that govern all existence. Or, in a word: logic. While this branch of philosophy threatens to be an intimidating and abstract subject, it is one that is surprisingly simple and necessarily sensible, particularly at the pen of writer Bertrand Russell, who infuses this work, first published in 1919, with a palpable and genuine desire to assist the reader in understanding the principles he illustrates. Anyone interested in logic and its development and application here will find a comprehensive and accessible account of mathematical philosophy, from the idea of what numbers actually are, through the principles of order, limits, and deduction, and on to infinity. British philosopher and mathematician BERTRAND ARTHUR WILLIAM RUSSELL (1872-1970) won the Nobel Prize for Literature in 1950. Among his many works are Why I Am Not a Christian (1927), Power: A New Social Analysis (1938), and My Philosophical Development (1959).
Download or read book Introduction to Mathematical Philosophy written by Bertrand Russell, Earl and published by Franklin Classics. This book was released on 2018-10-14 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book An Historical Introduction to the Philosophy of Mathematics A Reader written by Russell Marcus and published by Bloomsbury Publishing. This book was released on 2016-02-11 with total page 849 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the first comprehensive collection of historical readings in the philosophy of mathematics, this much-needed introduction reveals the rich history of the subject. Focusing on the philosophy of mathematics before the 20th-century, An Historical Introduction to the Philosophy of Mathematics: A Readerbrings together an impressive collection of primary sources from ancient, medieval and modern philosophy. Arranged chronologically and featuring introductory overviews explaining technical terms, this accessible reader is easy-to-follow and unrivaled in its historical scope. With selections from Plato, Aristotle, Descartes, Hume and Kant, it connects the major ideas of the ancients with modern thinkers. While a selection of recent texts offering insights the current state of the discipline, clearly illustrate the development of the subject. Presenting historical background essential to understanding contemporary trends, An Historical Introduction to the Philosophy of Mathematics: A Reader is required reading for undergraduates studying the philosophy of mathematics.
