Download or read book Kant s Philosophy of Mathematics Volume 1 The Critical Philosophy and its Roots 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: The late 1960s saw the emergence of new philosophical interest in Kant's philosophy of mathematics, and since then this interest has developed into a major and dynamic field of study. In this state-of-the-art survey of contemporary scholarship on Kant's mathematical thinking, Carl Posy and Ofra Rechter gather leading authors who approach it from multiple perspectives, engaging with topics including geometry, arithmetic, logic, and metaphysics. Their essays offer fine-grained analysis of Kant's philosophy of mathematics in the context of his Critical philosophy, and also show sensitivity to its historical background. The volume will be important for readers seeking a comprehensive picture of the current scholarship about the development of Kant's philosophy of mathematics, its place in his overall philosophy, and the Kantian themes that influenced mathematics and its philosophy after Kant.
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 461 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 The Ideal and the Real written by A T Winterbourne and published by Theschoolbook.com. This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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)
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 Kant s Critical Philosophy for English Readers written by Sir John Pentland Mahaffy and published by . This book was released on 1872 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Kant Studies on Mathematics in the Critical Philosophy written by Emily Carson and published by . This book was released on 2017 with total page 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. "--Provided by publisher.
Download or read book Kant s Critical Philosophy for English Readers written by John P. Mahaffy and published by BoD – Books on Demand. This book was released on 2023-03-09 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1872.
Download or read book Kant s Critical Philosophy for English Readers written by Immanuel Kant and published by Palala Press. This book was released on 2016-05-20 with total page 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 The Critical Philosophy of Immanuel Kant written by Edward Caird and published by . This book was released on 1889 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Syllogistic Logic and Mathematical Proof written by PROF PAOLO. MUGNAI MANCOSU (PROF MASSIMO.) and published by Oxford University Press. This book was released on 2023-05-18 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Does syllogistic logic have the resources to capture mathematical proof? This volume provides the first unified account of the history of attempts to answer this question, the reasoning behind the different positions taken, and their far-reaching implications. Aristotle had claimed that scientific knowledge, which includes mathematics, is provided by syllogisms of a special sort: 'scientific' ('demonstrative') syllogisms. In ancient Greece and in the Middle Ages, the claim that Euclid's theorems could be recast syllogistically was accepted without further scrutiny. Nevertheless, as early as Galen, the importance of relational reasoning for mathematics had already been recognized. Further critical voices emerged in the Renaissance and the question of whether mathematical proofs could be recast syllogistically attracted more sustained attention over the following three centuries. Supported by more detailed analyses of Euclidean theorems, this led to attempts to extend logical theory to include relational reasoning, and to arguments purporting to reduce relational reasoning to a syllogistic form. Philosophical proposals to the effect that mathematical reasoning is heterogenous with respect to logical proofs were famously defended by Kant, and the implications of the debate about the adequacy of syllogistic logic for mathematics are at the very core of Kant's account of synthetic a priori judgments. While it is now widely accepted that syllogistic logic is not sufficient to account for the logic of mathematical proof, the history and the analysis of this debate, running from Aristotle to de Morgan and beyond, is a fascinating and crucial insight into the relationship between philosophy and mathematics.
Download or read book Intuition in Kant written by Daniel Smyth and published by . This book was released on 2024-03-06 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book Daniel Smyth offers a comprehensive overview of Immanuel Kant's conception of intuition in all its species - divine, receptive, sensible, and human. Kant considers sense perception a paradigm of intuition, yet claims that we can represent infinities in intuition, despite the finitude of sense perception. Smyth examines this heterodox combination of commitments and argues that the various features Kant ascribes to intuition are meant to remedy specific cognitive shortcomings that arise from the discursivity of our intellect Intuition acting as the intellect's cognitive partner to make knowledge possible. He reconstructs Kant's conception of intuition and its role in his philosophy of mind, epistemology, and philosophy of mathematics, and shows that Kant's conception of sensibility is as innovative and revolutionary as his much-debated theory of the understanding.
Download or read book Quo Vadis Metaphysics written by Mirosław Szatkowski and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-11-18 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: The old philosophical discipline of metaphysics – after having been pronounced dead by many – has enjoyed a significant revival within the last thirty years, due to the application of the methods of analytic philosophy. One of the major contributors to this revival is the outstanding American metaphysician Peter van Inwagen. This volume brings together twenty-two scholars, who, in commemoration of Prof. van Inwagen's 75th birthday, ponder the future prospects of metaphysics in all the richness to which it has now returned. It is only natural that logical and epistemological reflections on the significance of metaphysics – sometimes called “meta-metaphysics” – play a considerable role in most of these papers. The volume is further enriched by an interview with Peter van Inwagen himself.
Download or read book The Critical Philosophy of Immanuel Kant Vol 1 of 2 Classic Reprint written by Edward Caird and published by Forgotten Books. This book was released on 2017-09-18 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Critical Philosophy of Immanuel Kant, Vol. 1 of 2 The object of this book is to give a connected View of the Critical Philosophy, showing the relations of the three Critiques to each other, and to the other works of Kant which may be regarded as illustrations or developments of his main argument. The first part, on the Critique of. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book The Critical Philosophy of Immanuel Kant written by Edward Caird and published by . This book was released on 2024-07-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: An explanation of the foundations of Kant's philosophy of mathematics and its connection to his account of human experience.
Download or read book The Critical Philosophy of Immanuel Kant Volume 1 written by Edward Caird and published by Arkose Press. This book was released on 2015-10-23 with total page 638 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 The Critical Philosophy of Immanuel Kant Volume 1 written by Edward Caird and published by Palala Press. This book was released on 2015-09 with total page 684 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.
