Kant S Mathematical World
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Kant S Mathematical World
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Author : Daniel Sutherland
language : en
Publisher: Cambridge University Press
Release Date : 2021-10-28
Kant S Mathematical World written by Daniel Sutherland and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-28 with Mathematics categories.
An explanation of the foundations of Kant's philosophy of mathematics and its connection to his account of human experience.
Kant Studies On Mathematics In The Critical Philosophy
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Author : Emily Carson
language : en
Publisher: Routledge
Release Date : 2017-12-22
Kant Studies On Mathematics In The Critical Philosophy written by Emily Carson and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-22 with Philosophy categories.
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 Theory Of Science
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Author : Gordon G. Brittan Jr.
language : en
Publisher: Princeton University Press
Release Date : 2015-03-08
Kant S Theory Of Science written by Gordon G. Brittan Jr. and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-08 with Science categories.
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 Volume 1 The Critical Philosophy And Its Roots
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Author : Carl Posy
language : en
Publisher: Cambridge University Press
Release Date : 2021-09-02
Kant S Philosophy Of Mathematics Volume 1 The Critical Philosophy And Its Roots written by Carl Posy and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-02 with Philosophy categories.
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.
Arithmetic And Combinatorics
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Author : Gottfried Martin
language : en
Publisher: SIU Press
Release Date : 1985
Arithmetic And Combinatorics written by Gottfried Martin and has been published by SIU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
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."
Attempt To Introduce The Concept Of Negative Quantities Into World Wisdom
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Author : Immanuel Kant
language : en
Publisher: Newcomb Livraria Press
Release Date :
Attempt To Introduce The Concept Of Negative Quantities Into World Wisdom written by Immanuel Kant and has been published by Newcomb Livraria Press this book supported file pdf, txt, epub, kindle and other format this book has been release on with Philosophy categories.
A new 2024 translation of "Attempt to Introduce the Concept of Negative Quantities into World Wisdom" from the original German manuscript first published in 1763. The original German title is "Versuch den Begriff der negativen Größen in die Weltweisheit einzuführen". This new edition contains an afterword by the translator, a timeline of Kant's life and works, and a helpful index of Kant's key concepts and intellectual rivals. This translation is designed for readability, rendering Kant's enigmatic German into the simplest equivalent possible, and removing the academic footnotes to make this critically important historical text as accessible as possible to the modern reader. The early sections of the treatise discuss the utility of mathematical methods in philosophical reasoning, emphasizing the potential of mathematical concepts, such as negative quantities, to enhance metaphysical understanding. Kant critically evaluates existing philosophical methods and proposes the integration of mathematical precision into philosophical discourse. Kant delves into the mathematical understanding of negative numbers and explores their philosophical implications, arguing for their relevance beyond mere mathematical operations. The paper presents a detailed exploration of how negative quantities, understood mathematically, can contribute to a more nuanced understanding of metaphysical concepts. The paper also discusses the opposition between logical and real oppositions, drawing parallels and distinctions between mathematical and philosophical reasoning. Kant emphasizes the importance of considering both types of opposition in understanding philosophical problems, and argues that the concept of negative quantities offers a novel way of approaching these problems.
Kant S Philosophy Of Mathematics
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Author : C.J. Posy
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Kant S Philosophy Of Mathematics written by C.J. Posy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Philosophy categories.
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.
The Determinate World
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Author : David Jalal Hyder
language : en
Publisher: Walter de Gruyter
Release Date : 2009
The Determinate World written by David Jalal Hyder and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Philosophy categories.
This book offers a new interpretation of Hermann von Helmholtz's work on the epistemology of geometry. A detailed analysis of the philosophical arguments of Helmholtz's Erhaltung der Kraft shows that he took physical theories to be constrained by a regulative ideal. They must render nature "completely comprehensible", which implies that all physical magnitudes must be relations among empirically given phenomena. This conviction eventually forced Helmholtz to explain how geometry itself could be so construed. Hyder shows how Helmholtz answered this question by drawing on the theory of magnitudes developed in his research on the colour-space. He argues against the dominant interpretation of Helmholtz's work by suggesting that for the latter, it is less the inductive character of geometry that makes it empirical, and rather the regulative requirement that the system of natural science be empirically closed.
Kant Studies On Mathematics In The Critical Philosophy
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Author : Emily Carson
language : en
Publisher:
Release Date : 2017
Kant Studies On Mathematics In The Critical Philosophy written by Emily Carson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Electronic books categories.
"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.
Reason S Nearest Kin
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Author : Michael Potter
language : en
Publisher: Oxford University Press
Release Date : 2000-03-16
Reason S Nearest Kin written by Michael Potter and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-03-16 with Mathematics categories.
Reason's Nearest Kin is a critical examination of the most exciting period there has been in the philosophical study of the properties of the natural numbers, from the 1880s to the 1930s. Reassessing the brilliant innovations of Frege, Russell, Wittgenstein, and others, which transformed philosophy as well as our understanding of mathematics, Michael Potter places arithmetic at the interface between experience, language, thought, and the world.