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Author : Lisa Shabel
Publisher : Routledge
Page : 249 pages
File Size : 45,9 Mb
Release : 2017-09-25
Category : Mathematics
ISBN : 9781135370633
First published in 2003. Routledge is an imprint of Taylor & Francis, an informa company.
Author : Emily Carson,Lisa Shabel
Publisher : Routledge
Page : 461 pages
File Size : 52,8 Mb
Release : 2017-12-22
Category : Philosophy
ISBN : 9781317407898
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.
Author : Emily Carson
Publisher : Unknown
Page : 270 pages
File Size : 48,8 Mb
Release : 2014
Category : Electronic
ISBN : OCLC:909492199
Author : Carl Posy,Ofra Rechter
Publisher : Cambridge University Press
Page : 333 pages
File Size : 42,8 Mb
Release : 2020-05-21
Category : Philosophy
ISBN : 9781107042902
Essential for students and scholars, this book brings contemporary Kantian scholarship together with the history of philosophy of mathematics.
Author : Lisa Shabel
Publisher : Routledge
Page : 190 pages
File Size : 40,6 Mb
Release : 2017-09-25
Category : Mathematics
ISBN : 9781135370565
First published in 2003. Routledge is an imprint of Taylor & Francis, an informa company.
Author : Emily Carson
Publisher : Unknown
Page : 128 pages
File Size : 46,7 Mb
Release : 2017
Category : Electronic books
ISBN : 1315684012
"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. "--Provided by publisher.
Author : Lisa A. Shabel
Publisher : Unknown
Page : 278 pages
File Size : 44,6 Mb
Release : 2001
Category : Electronic
ISBN : 0591828235
Author : Daniel Sutherland
Publisher : Cambridge University Press
Page : 317 pages
File Size : 44,7 Mb
Release : 2021-10-28
Category : Mathematics
ISBN : 9781108429962
An explanation of the foundations of Kant's philosophy of mathematics and its connection to his account of human experience.
Author : A T Winterbourne
Publisher : Theschoolbook.com
Page : 0 pages
File Size : 48,5 Mb
Release : 2007
Category : Mathematics
ISBN : 184549198X
"The Ideal and the Real should prove valuable to two particular sets of readers: (i) those with an interest in Kant and little or no background in the philosophy of mathematics, or (ii) those with an interest in the philosophy of mathematics and little or no background in Kant...The book contains much that is suggestive which should promote further discussion...(and) offers more than a simple examination of Kant's philosophy of mathematics. Of particular interest is his suggestion that Newton's thought experiments have been changed and idealized by commentators." R.R.Wojtowicz, (Canadian Philosophical Review) This book argues that Kant's theory of space, time and mathematics has contemporary significance principally because of its roots in the ideas of construction and schematism. These concepts are analysed in the light of the central Kantian distinction between the ideal and the empirically real. A reassessment of Newton's arguments for absolute space is followed by an examination of Leibniz's theory of space, time and continuity. The metaphysical frameworks of these theories are presented as essential precursors of Kant's critical programme. The ideas of construction and schematism illuminate all aspects of Kant's philosophy of mathematics, and have important implications for understanding both the task and the achievement of the critical philosophy. Through an analysis of these concepts, the role of intuition, and in particular the argument from incongruent counterparts, is given added significance. "While he intends The Ideal and the Real as a limited commentary on space, time, and mathematical construction, it also brings the reader into contact with a whole series of problems treated by Kant in the First Critique and the Prolegomena....While the discussion of Newton displays a sensitivity to the complexity of Newton's position, Winterbourne's own exposition develops clearly....(and) advances with such sensitivity both to primary and secondary sources that one could hardly find a better summary of the issues surrounding the Leibniz-Clarke controversy....The discussion of incongruent counterparts provides the most interesting part of the monograph....Winterbourne avoids technical jargon and obscure explanation in an admirable way...(and) gives us one of the best treatments of the Schematism available. Kantian scholars would do well to take note of Winterbourne's conclusions." John Treloar, (The Modern Schoolman) "One of the main strengths of Winterbourne's book is his treatment of Kant's philosophy of mathematics....and (it) offers an interesting overview of the ideas of Leibniz and Newton..." Grant West (Isis)
Author : Robert Hanna
Publisher : Clarendon Press
Page : 327 pages
File Size : 47,6 Mb
Release : 2001-01-04
Category : Philosophy
ISBN : 9780191544040
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.
Author : A. Winterbourne
Publisher : Springer Science & Business Media
Page : 146 pages
File Size : 41,7 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789400914155
Many students coming to grips with Kant's philosophy are understandably daunted not only by the complexity and sheer difficulty of the man's writings, but almost equally by the amount of secondary literature available. A great deal of this seems to be - and not only on first reading - just about as difficult as the work it is meant to make more accessible. Any writer deliberately setting out to provide an authentically introductory text thus faces a double problem: how to provide an exegesis which would capture some of the spirit of the original, without gross and misleading over-simplification; and secondly, how to anchor the argument in the best and most imaginative secondary literature, yet avoid the whole project appearing so fragmented as to make the average book of chess openings seem positively austere. Until fairly recently, matters were made even more difficul t, in that commentaries on Kant were very often of a whole work, say, The Critique of Pure Reason, with the result that students would have to struggle through a very great deal of material indeed in order to feel any confidence at all that they had begun to understand the original writings. Recently, things have changed somewhat. There are now excellent commentaries on "Kant's Analytic", "Kant's Analogies" etc. . We have also seen, (at least as reflected in book titles), a resurgence of interest in what is perhaps the most controversial and far-reaching Kantian claim, viz.
Author : Gilles Deleuze
Publisher : A&C Black
Page : 84 pages
File Size : 51,9 Mb
Release : 2008-01-01
Category : Philosophy
ISBN : 9780826432063
Philosophy.
Author : Emily Carson,Lisa Shabel
Publisher : Routledge
Page : 280 pages
File Size : 53,8 Mb
Release : 2017-12-22
Category : Philosophy
ISBN : 9781317407904
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.
Author : Daniel Sutherland
Publisher : Cambridge University Press
Page : 0 pages
File Size : 40,7 Mb
Release : 2023-10-19
Category : Philosophy
ISBN : 1108455107
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.
Author : C.J. Posy
Publisher : Springer Science & Business Media
Page : 470 pages
File Size : 47,8 Mb
Release : 2013-03-09
Category : Philosophy
ISBN : 9789401580465
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.
