Download or read book La Philosophie des math matiques de Kant written by Louis Couturat and published by Homme et Littérature. This book was released on 2018-04-02 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kant caractérise la méthode mathématique en l’opposant à la méthode de la philosophie. La mathématique seule a des axiomes, c’est-à-dire des principes synthétiques a priori, « parce qu’elle seule peut, en construisant un concept, lier a priori et immédiatement ses prédicats dans l’intuition de son objet ». La philosophie ne peut pas avoir d’axiomes, car elle ne peut pas sortir du concept pour le lier à un autre concept. La mathématique seule a des définitions, car seule elle crée ses concepts par une synthèse arbitraire ; par suite, ses définitions sont indiscutables et ne peuvent être erronées... La mathématique seule a des démonstrations proprement dites, car « on ne peut appeler démonstration qu’une preuve apodictique, en tant qu’elle est intuitive ». La philosophie ne peut pas effectuer des démonstrations sur ses concepts, car il lui manque « la certitude intuitive ». La conclusion de cet examen est la séparation complète, l’opposition absolue de la mathématique, non seulement par rapport à la métaphysique, mais par rapport à la philosophie tout entière, et notamment à la logique. Car la logique repose sur des principes analytiques, qui paraissent se réduire au principe de contradiction ; et elle ne permet d’établir que des jugements analytiques... Ce livre examine successivement les différentes thèses que nous venons d’énumérer.
Download or read book La philosophie des math matiques chez Kant written by Jaakko Hintikka and published by Presses Universitaires de France - PUF. This book was released on 1996 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Les Principes Des Math matiques written by Louis Couturat and published by Wentworth Press. This book was released on 2018-07-26 with total page 328 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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. 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. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. 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 Les Principes Des Mathematiques Avec Un Appendice Sur La Philosophie Des Mathematiques de Kant written by Louis 1868- Couturat and published by Wentworth Press. This book was released on 2016-08-28 with total page 328 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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. 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. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. 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 Les Principes Des Mathematiques written by Louis Couturat and published by Nabu Press. This book was released on 2014-01 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.
Download or read book Kant s Philosophy of Mathematics written by Carl Posy and published by Cambridge University Press. This book was released on 2020-05-21 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essential for students and scholars, this book brings contemporary Kantian scholarship together with the history of philosophy of mathematics.
Download or read book Les principes des mathematiques avec un appendice sur la Philosophie des mathematiques de Kant written by Louis Couturat and published by . This book was released on 1905 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Kant face aux math matiques modernes written by Emmanuel Barot and published by Librairie Philosophique Vrin. This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematique(s), Physique(s) et logique(s) vivent depuis le XIXe siecle une revolution permanente qui fait eclater les paradigmes auxquels Newton, Aristote et Euclide etaient associes. Litteralement apparente a ces derniers, le dispositif kantien, Critique de la raison pure au centre, fut de facon concomitante profondement remis en cause et son caractere obsolete n'a cesse depuis d'etre martele. L'objectif de ce volume est de montrer au contraire que la philosophie transcendantale, loin d'etre une simple pensee du passe, non seulement n'a pas forcement ete par soi invalidee par les histoires recentes de la logique et des mathematiques, mais qu'elle a egalement nourri, autant dans l'aire anglo-saxonne que dans l'aire continentale, et au travers de multiples refontes, de fecondes perspectives. Quatre contributions croisant ces differentes sensibilites, temoignent en premiere partie de cette vitalite actuelle du style kantien (J. Hintikka et R. Villko, P. Martin-Lof, J. Petitot, J.-M. Salanskis). En seconde partie sont presentees, traduites pour la premiere fois, deux contributions de l'Ecole de Marbourg historiquement constitutives du debat: celle de Cassirer, Kant und die Moderne Mathematik (1907) et celle du chapitre V de l'ouvrage de Natorp, Les fondements logiques des sciences exactes (1910) consacre aux concepts de dimension et de nombre.
Download or read book Kant Studies on Mathematics in the Critical Philosophy written by Emily Carson and published by Routledge. This book was released on 2017-12-22 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is a long tradition, in the history and philosophy of science, of studying Kant’s philosophy of mathematics, but recently philosophers have begun to examine the way in which Kant’s reflections on mathematics play a role in his philosophy more generally, and in its development. For example, in the Critique of Pure Reason, Kant outlines the method of philosophy in general by contrasting it with the method of mathematics; in the Critique of Practical Reason, Kant compares the Formula of Universal Law, central to his theory of moral judgement, to a mathematical postulate; in the Critique of Judgement, where he considers aesthetic judgment, Kant distinguishes the mathematical sublime from the dynamical sublime. This last point rests on the distinction that shapes the Transcendental Analytic of Concepts at the heart of Kant’s Critical philosophy, that between the mathematical and the dynamical categories. These examples make it clear that Kant's transcendental philosophy is strongly influenced by the importance and special status of mathematics. The contributions to this book explore this theme of the centrality of mathematics to Kant’s philosophy as a whole. This book was originally published as a special issue of the Canadian Journal of Philosophy.
Download or read book Kant Et Les Mathematiques written by Frank Pierobon and published by . This book was released on 2003 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Kant s Philosophy of Mathematics written by C.J. Posy and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kant's views about mathematics were controversial in his own time, and they have inspired or infuriated thinkers ever since. Though specific Kantian doctrines fell into disrepute earlier in this century, the past twenty-five years have seen a surge of interest in and respect for Kant's philosophy of mathematics among both Kant scholars and philosophers of mathematics. The present volume includes the classic papers from the 1960s and 1970s which spared this renaissance of interest, together with updated postscripts by their authors. It also includes the most important recent work on Kant's philosophy of mathematics. The essays bring to bear a wealth of detailed Kantian scholarship, together with powerful new interpretative tools drawn from modern mathematics, logic and philosophy. The cumulative effect of this collection upon the reader will be a deeper understanding of the centrality of mathematics in all aspects of Kant's thought and a renewed respect for the power of Kant's thinking about mathematics. The essays contained in this volume will set the agenda for further work on Kant's philosophy of mathematics for some time to come.
Download or read book Kant s Mathematical World written by Daniel Sutherland and published by Cambridge University Press. This book was released on 2021-10-28 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kant's Mathematical World aims to transform our understanding of Kant's philosophy of mathematics and his account of the mathematical character of the world. Daniel Sutherland reconstructs Kant's project of explaining both mathematical cognition and our cognition of the world in terms of our most basic cognitive capacities. He situates Kant in a long mathematical tradition with roots in Euclid's Elements, and thereby recovers the very different way of thinking about mathematics which existed prior to its 'arithmetization' in the nineteenth century. He shows that Kant thought of mathematics as a science of magnitudes and their measurement, and all objects of experience as extensive magnitudes whose real properties have intensive magnitudes, thus tying mathematics directly to the world. His book will appeal to anyone interested in Kant's critical philosophy -- either his account of the world of experience, or his philosophy of mathematics, or how the two inform each other.
Download or read book Essai pour introduire en philosophie le concept de grandeur n gative written by Immanuel Kant and published by Vrin. This book was released on 1991 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Le concept de grandeur negative, depuis longtemps en usage dans les mathematiques, s'y est revele d'une extreme importance. Toutefois la representation que s'en sont fait la plupart, et l'explication qu'ils en donnaient, est etrange et contradictoire, bien qu'aucune inexactitude n'en ait rejailli sur l'application, car les regles particulieres ont pris la place de la definition et en ont assure l'usage.[...] Entreprenant de gagner a la philosophie un concept encore inemploye, quoique absolument necessaire, je me souhaite pour juges des esprits aussi penetrants que celui qui inspira cet essai.
Download or read book Kant and the Foundations of Analytic Philosophy written by Robert Hanna and published by Clarendon Press. This book was released on 2001-01-04 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert Hanna presents a fresh view of the Kantian and analytic traditions that have dominated continental European and Anglo-American philosophy over the last two centuries, and of the relation between them. The rise of analytic philosophy decisively marked the end of the hundred-year dominance of Kant's philosophy in Europe. But Hanna shows that the analytic tradition also emerged from Kant's philosophy in the sense that its members were able to define and legitimate their ideas only by means of an intensive, extended engagement with, and a partial or complete rejection of, the Critical Philosophy. Hanna's book therefore comprises both an interpretative study of Kant's massive and seminal Critique of Pure Reason, and a critical essay on the historical foundations of analytic philosophy from Frege to Quine. Hanna considers Kant's key doctrines in the Critique in the light of their reception and transmission by the leading figures of the analytic tradition—Frege, Moore, Russell, Wittgenstein, Carnap, and Quine. But this is not just a study in the history of philosophy, for out of this emerges Hanna's original approach to two much-contested theories that remain at the heart of contemporary philosophy. Hanna puts forward a new 'cognitive-semantic' interpretation of transcendental idealism, and a vigorous defence of Kant's theory of analytic and synthetic necessary truth. These will make Kant and the Foundations of Analytic Philosophy compelling reading not just for specialists in the history of philosophy, but for all who are interested in these fundamental philosophical issues.
Download or read book Kant written by Paul Guyer and published by Routledge. This book was released on 2006-09-27 with total page 755 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this outstanding introduction, Paul Guyer uses Kant’s central conception of autonomy as the key to all the major aspects and issues of Kant’s thought. Beginning with a helpful overview of Kant’s life and times, Guyer introduces Kant’s metaphysics and epistemology, carefully explaining his arguments about the nature of space, time and experience in his most influential but difficult work, The Critique of Pure Reason. He offers an explanation and critique of Kant’s famous theory of transcendental idealism and shows how much of Kant’s philosophy is independent of this controversial doctrine. He then examines Kant’s moral philosophy, his celebrated ‘Categorical imperative’ and his theories of duty, freedom of will and political rights. Finally, he covers Kant’s aesthetics, in particular his arguments about the nature of beauty and the sublime, and their relation to human freedom and happiness. He also considers Kant’s view that the development of human autonomy is the only goal that we can conceive for both natural and human history.
Download or read book Philosophie de Kant ou Principes fondamentaux de la philosophie transcendentale written by Charles de Villers and published by . This book was released on 1830 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Philosophy of Mathematics in Antiquity and in Modern Times written by Ulrich Felgner and published by Springer Nature. This book was released on 2023-07-12 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: »Philosophy of Mathematics« is understood, in this book, as an effort to clarify such questions that mathematics itself raises but cannot answer with its own methods. These include, for example, questions about the ontological status of mathematical objects (e.g., what is the nature of mathematical objects?) and the epistemological status of mathematical theorems (e.g., from what sources do we draw when we prove mathematical theorems?). The answers given by Plato, Aristotle, Euclid, Descartes, Locke, Leibniz, Kant, Cantor, Frege, Dedekind, Hilbert and others will be studied in detail. This will lead us to deep insights, not only into the history of mathematics, but also into the conception of mathematics as it is commonly held in the present time. The book is a translation from the German, however revised and considerably expanded. Various chapters have been completely rewritten.
