Synthetic A Priori And Mathematical Account In Kant S Philosophy

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Kant: Studies on Mathematics in the Critical Philosophy

Author : Emily Carson,Lisa Shabel
Publisher : Routledge
Page : 461 pages
File Size : 45,8 Mb
Release : 2017-12-22
Category : Philosophy
ISBN : 9781317407898

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Kant: Studies on Mathematics in the Critical Philosophy by Emily Carson,Lisa Shabel Pdf

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.

Kant’s Philosophy of Mathematics

Author : C.J. Posy
Publisher : Springer Science & Business Media
Page : 470 pages
File Size : 49,6 Mb
Release : 2013-03-09
Category : Philosophy
ISBN : 9789401580465

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Kant’s Philosophy of Mathematics by C.J. Posy Pdf

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.

Kant and the Foundations of Analytic Philosophy

Author : Robert Hanna
Publisher : Clarendon Press
Page : 327 pages
File Size : 54,7 Mb
Release : 2001-01-04
Category : Philosophy
ISBN : 9780191544040

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Kant and the Foundations of Analytic Philosophy by Robert Hanna Pdf

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.

Kant's Theory of Science

Author : Gordon G. Brittan Jr.
Publisher : Princeton University Press
Page : 229 pages
File Size : 46,6 Mb
Release : 2015-03-08
Category : Science
ISBN : 9781400867486

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Kant's Theory of Science by Gordon G. Brittan Jr. Pdf

While interest in Kant's philosophy has increased in recent years, very little of it has focused on his theory of science. This book gives a general account of that theory, of its motives and implications, and of the way it brought forth a new conception of the nature of philosophical thought. To reconstruct Kant's theory of science, the author identifies unifying themes of his philosophy of mathematics and philosophy of physics, both undergirded by his distinctive logical doctrines, and shows how they come together to form a relatively consistent system of ideas. A new analysis of the structure of central arguments in the Critique of Pure Reason and the Prolegomena draws on recent developments in logic and the philosophy of science. Professor Brittan's unified account of the philosophies of mathematics and physics explores the nature of Kant's commitment to Euclidean geometry and Newtonian mechanics as well as providing an integrated reading of the Critique of Pure Reason and the Metaphysical Foundations of Natural Science. Contemporary ideas help both to illuminate Kant's position and to show how that position, in turn, illuminates contemporary problems in the philosophy of science. Originally published in 1978. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Kant's Philosophy of Mathematics

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

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Kant's Philosophy of Mathematics by Carl Posy,Ofra Rechter Pdf

Essential for students and scholars, this book brings contemporary Kantian scholarship together with the history of philosophy of mathematics.

The Cambridge Companion to Kant and Modern Philosophy

Author : Paul Guyer
Publisher : Cambridge University Press
Page : 760 pages
File Size : 50,6 Mb
Release : 2006-01-30
Category : Philosophy
ISBN : 9781139827034

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The Cambridge Companion to Kant and Modern Philosophy by Paul Guyer Pdf

The philosophy of Immanuel Kant is the watershed of modern thought, which irrevocably changed the landscape of the field and prepared the way for all the significant philosophical movements of the nineteenth and twentieth centuries. This 2006 volume, which complements The Cambridge Companion to Kant, covers every aspect of Kant's philosophy, with a particular focus on his moral and political philosophy. It also provides detailed coverage of Kant's historical context and of the enormous impact and influence that his work has had on the subsequent history of philosophy. The bibliography also offers extensive and organized coverage of both classical and recent books on Kant. This volume thus provides the broadest and deepest introduction currently available on Kant and his place in modern philosophy, making accessible the philosophical enterprise of Kant to those coming to his work for the first time.

Arithmetic and Combinatorics

Author : Gottfried Martin
Publisher : SIU Press
Page : 240 pages
File Size : 41,6 Mb
Release : 1985
Category : Mathematics
ISBN : 0809311844

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Arithmetic and Combinatorics by Gottfried Martin Pdf

This is the only work to provide a historical account of Kant s theory of arithmetic, examining in detail the theories of both his predecessors and his successors.Until his death, Martin was the editor of "Kant-Studien "from 1954, of the general Kant index from 1964, of the Leibniz index from 1968, and coeditor of "Leibnizstudien "from 1969. This background is used to its fullest as he strives to make clear the historical milieu in which Kant s mathematical contributions developed. He uses Leibniz, Wolff, and others whose work was accomplished before Kant was born as well as Lambert, Mendelssohn, and others roughly contemporary with Kant; and when a point requires it, he refers to Gauss, Grassman, Frege, Russell, and Hilbert.In her translation Wubnig has approached the original author with an abiding respect. She makes the translation flow in English while preserving as far as possible the flavor of the original. She has added many bibliographical and biographical details to ease the following up of Martin s allusions and suggestions."

Kant and Contemporary Epistemology

Author : P. Parrini
Publisher : Springer Science & Business Media
Page : 378 pages
File Size : 53,7 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789401108348

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Kant and Contemporary Epistemology by P. Parrini Pdf

From the mid-1960s, after the important works by J. Hintikka, S. Körner, W. Sellars and P.F. Strawson, there has been a marked revival of Kantian epistemological thought. Against this background, featuring fruitful exchange between historical research and theoretical prospects, the main point of the book is the discussion of Kantian theory of scientific knowledge from the perspective of present-day analytical philosophy and philosophy of empirical and mathematical sciences. The main topics are the problem of a priori knowledge in logic, mathematics and physics, the distinction between analytic and synthetic judgments, the constitution of physical objectivity and the questions of realism and truth, the Kantian conception of time, causal laws and induction, the relations between Kantian epistemological thought, relativity theory, quantum theory and some recent developments of philosophy of science. The book is addressed to research workers, specialists and scholars in the fields of epistemology, philosophy of science and history of philosophy.

Kant's Mathematical World

Author : Daniel Sutherland
Publisher : Cambridge University Press
Page : 317 pages
File Size : 41,5 Mb
Release : 2021-10-28
Category : Mathematics
ISBN : 9781108429962

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Kant's Mathematical World by Daniel Sutherland Pdf

An explanation of the foundations of Kant's philosophy of mathematics and its connection to his account of human experience.

The Cambridge Companion to Kant and Modern Philosophy

Author : Paul Guyer
Publisher : Cambridge University Press
Page : 760 pages
File Size : 51,8 Mb
Release : 2006-02-13
Category : History
ISBN : 052182303X

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The Cambridge Companion to Kant and Modern Philosophy by Paul Guyer Pdf

This 2006 volume provides the broadest and deepest introduction to Kant currently available.

The Coherence of Kant's Transcendental Idealism

Author : Yaron M. Senderowicz
Publisher : Springer Science & Business Media
Page : 302 pages
File Size : 54,5 Mb
Release : 2006-03-30
Category : Philosophy
ISBN : 9781402025815

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The Coherence of Kant's Transcendental Idealism by Yaron M. Senderowicz Pdf

1. Introduction Kant considered the doctrine of transcendental idealism an indisp- sable part of the theory of knowledge presented in the Critique of Pure Reason. My aim in this book is to present a new defense of the coh- ence and plausibility of Kant’s transcendental idealism and its indisp- sability for his theory of knowledge. I will show that the main argument of the Transcendental Aesthetic and the Transcendental Analytic is - fensible independently of some of Kant’s claims which are said to threaten its coherence. I have undertaken an inquiry into the coherence of Kant’s transc- dental idealism for the following reasons. A defense of the coherence of transcendental idealism is required by the existing state of Kantian scholarship. The claim that Kant’s transcendental idealism is incoh- ent has appeared in various forms over the last two centuries. The most powerful and elaborate criticism of Kant’s transcendental idealism is found in Part Four of Strawson’s The Bounds of Sense. Several comm- tators have tried to reestablish its coherence. Although Allison and other commentators have contributed ideas that are valuable for an 1 account of the coherence of Kant’s transcendental idealism, their - guments fall short as a response to the standard objection. Indeed, the claim that Kant’s transcendental idealism is incoherent continues to be the view held by most thinkers. I have limited my goal in this book to establishing the coherence of Kant’s transcendental idealism due to two related reasons.

Kant: Studies on Mathematics in the Critical Philosophy

Author : Emily Carson,Lisa Shabel
Publisher : Routledge
Page : 280 pages
File Size : 40,7 Mb
Release : 2017-12-22
Category : Philosophy
ISBN : 9781317407904

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Kant: Studies on Mathematics in the Critical Philosophy by Emily Carson,Lisa Shabel Pdf

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.

Analysis and Synthesis in Mathematics

Author : Michael Otte,Marco Panza
Publisher : Springer Science & Business Media
Page : 476 pages
File Size : 55,5 Mb
Release : 1997
Category : History
ISBN : 0792345703

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Analysis and Synthesis in Mathematics by Michael Otte,Marco Panza Pdf

The book discusses the main interpretations of the classical distinction between analysis and synthesis with respect to mathematics. In the first part, this is discussed from a historical point of view, by considering different examples from the history of mathematics. In the second part, the question is considered from a philosophical point of view, and some new interpretations are proposed. Finally, in the third part, one of the editors discusses some common aspects of the different interpretations.