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Author: Daniel Sutherland
Publisher: Cambridge University Press
ISBN: 1108429963
Category : Mathematics
Languages : en
Pages : 317
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Book Description
An explanation of the foundations of Kant's philosophy of mathematics and its connection to his account of human experience.
Author: Daniel Sutherland
Publisher: Cambridge University Press
ISBN: 1108429963
Category : Mathematics
Languages : en
Pages : 317
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Book Description
An explanation of the foundations of Kant's philosophy of mathematics and its connection to his account of human experience.
Author: Daniel Sutherland
Publisher: Cambridge University Press
ISBN: 1108660045
Category : Philosophy
Languages : en
Pages : 318
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Book Description
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: Lisa Shabel
Publisher: Routledge
ISBN: 113537063X
Category : Mathematics
Languages : en
Pages : 249
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Book Description
First published in 2003. Routledge is an imprint of Taylor & Francis, an informa company.
Author: Øystein Linnebo
Publisher: Princeton University Press
ISBN: 069120229X
Category : Mathematics
Languages : en
Pages : 214
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Book Description
A sophisticated, original introduction to the philosophy of mathematics from one of its leading thinkers Mathematics is a model of precision and objectivity, but it appears distinct from the empirical sciences because it seems to deliver nonexperiential knowledge of a nonphysical reality of numbers, sets, and functions. How can these two aspects of mathematics be reconciled? This concise book provides a systematic, accessible introduction to the field that is trying to answer that question: the philosophy of mathematics. Øystein Linnebo, one of the world's leading scholars on the subject, introduces all of the classical approaches to the field as well as more specialized issues, including mathematical intuition, potential infinity, and the search for new mathematical axioms. Sophisticated but clear and approachable, this is an essential book for all students and teachers of philosophy and of mathematics.
Author: C J Posy
Publisher: Springer
ISBN: 9789401580472
Category :
Languages : en
Pages : 392
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Book Description
Author: Michael Roubach
Publisher: Continuum
ISBN:
Category : Mathematics
Languages : en
Pages : 168
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Book Description
An important new monograph analysing the connections between mathematics and ontology in Heidegger's thought.
Author: Ian Hacking
Publisher: Cambridge University Press
ISBN: 1107729823
Category : Science
Languages : en
Pages : 307
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Book Description
This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both immersed in the past and unusually attuned to the competing philosophical ideas of contemporary mathematicians, it shows that proof and other forms of mathematical exploration continue to be living, evolving practices - responsive to new technologies, yet embedded in permanent (and astonishing) facts about human beings. It distinguishes several distinct types of application of mathematics, and shows how each leads to a different philosophical conundrum. Here is a remarkable body of new philosophical thinking about proofs, applications, and other mathematical activities.
Author: Elizabeth de Freitas
Publisher: Cambridge University Press
ISBN: 1107134633
Category : Education
Languages : en
Pages : 301
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Book Description
Leading thinkers in mathematics, philosophy and education offer new insights into the fundamental question: what is a mathematical concept?
Author:
Publisher: Oxford University Press
ISBN: 0192596780
Category : Philosophy
Languages : en
Pages : 865
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Book Description
Immanuel Kant (1724-1804) is a towering figure of modern Western philosophy, someone whose thought continues to exert an influence across all areas of the discipline. His work is characterized by both breadth and unity: he writes powerfully about mind, epistemology, metaphysics, logic, mathematics, natural science, ethics, politics, aesthetics, education, and more. And across those areas, his work is concerned with defending a view of human beings and their place in nature according to which our own reason enables us to discover and uphold the laws of nature and freedomthat is, to think for ourselves. The Oxford Handbook of Kant provides an up-to-date account of recent scholarship on Kant's philosophy, taking in all areas of his writings. It will be essential reading for students and researchers who want to think for themselves about the topics he wrote with such insight. The individual chapters to this Handbook each provide a scholarly analysis and assessment of some aspect of Kant's thought, and the collection ranges across all the areas to which Kant contributed. It collectively presents a picture of where the study of Kant's philosophy finds itself at this point in the twenty-first century.
Author: David Jalal Hyder
Publisher: Walter de Gruyter
ISBN: 3110183919
Category : Philosophy
Languages : en
Pages : 239
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Book Description
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.
