Philosophy Of Mathematics And Natural Science

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Philosophy Of Mathematics And Natural Science

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Author : Hermann Weyl
language : en
Publisher: Princeton University Press
Release Date : 2009-05-17

Philosophy Of Mathematics And Natural Science written by Hermann Weyl 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 2009-05-17 with Mathematics categories.

History of mathematics.

Philosophy Of Mathematics And Natural Science

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Author : Hermann Weyl
language : en
Publisher: Princeton University Press
Release Date : 2009-05-17

Philosophy Of Mathematics And Natural Science written by Hermann Weyl 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 2009-05-17 with Mathematics categories.

History of mathematics.

Mathematics And Science

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Author : Ronald E Mickens
language : en
Publisher: World Scientific
Release Date : 1990-08-23

Mathematics And Science written by Ronald E Mickens and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-08-23 with Mathematics categories.

The purpose of this review volume is to present the opinions of a number of distinguished individuals who have given careful thought as to why mathematics is so “unreasonably effective” when applied to the analysis of the natural sciences.

Philosophy Of Mathematics And Natural Science

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Author : Hermann Weyl
language : en
Publisher:
Release Date : 1963

Philosophy Of Mathematics And Natural Science written by Hermann Weyl and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.

Mind And Nature

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Author : Hermann Weyl
language : en
Publisher: Princeton University Press
Release Date : 2009-03-31

Mind And Nature written by Hermann Weyl 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 2009-03-31 with Mathematics categories.

Hermann Weyl (1885-1955) was one of the twentieth century's most important mathematicians, as well as a seminal figure in the development of quantum physics and general relativity. He was also an eloquent writer with a lifelong interest in the philosophical implications of the startling new scientific developments with which he was so involved. Mind and Nature is a collection of Weyl's most important general writings on philosophy, mathematics, and physics, including pieces that have never before been published in any language or translated into English, or that have long been out of print. Complete with Peter Pesic's introduction, notes, and bibliography, these writings reveal an unjustly neglected dimension of a complex and fascinating thinker. In addition, the book includes more than twenty photographs of Weyl and his family and colleagues, many of which are previously unpublished. Included here are Weyl's exposition of his important synthesis of electromagnetism and gravitation, which Einstein at first hailed as "a first-class stroke of genius"; two little-known letters by Weyl and Einstein from 1922 that give their contrasting views on the philosophical implications of modern physics; and an essay on time that contains Weyl's argument that the past is never completed and the present is not a point. Also included are two book-length series of lectures, The Open World (1932) and Mind and Nature (1934), each a masterly exposition of Weyl's views on a range of topics from modern physics and mathematics. Finally, four retrospective essays from Weyl's last decade give his final thoughts on the interrelations among mathematics, philosophy, and physics, intertwined with reflections on the course of his rich life.

Mathematics And The Natural Sciences

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Author : Francis Bailly
language : en
Publisher: World Scientific
Release Date : 2011

Mathematics And The Natural Sciences written by Francis Bailly and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Science categories.

The book aims at the identification of the organising concepts of some physical and biological phenomena, by means of an analysis of the foundations of mathematics and of physics. This is done in the perspective of unifying phenomena, of bringing different conceptual universes into dialog. The analysis of the role of “order” and of symmetries in the foundations of mathematics is linked to the main invariants and principles, among which the geodesic principle (a consequence of symmetries), which govern and confer unity to the various physical theories. Moreover, we attempt to understand causal structures, a central element of physical intelligibility, in terms of symmetries and their breakings. The importance of the mathematical tool is also highlighted, enabling us to grasp the differences in the models for physics and biology which are proposed by continuous and discrete mathematics, such as computational simulations. A distinction between principles of (conceptual) construction and principles of proofs, both in physics and in mathematics, guides this part of the work.As for biology, being particularly difficult and not as thoroughly examined at a theoretical level, we propose a “unification by concepts”, an attempt which should always precede mathematisation. This constitutes an outline for unification also basing itself upon the highlighting of conceptual differences, of complex points of passage, of technical irreducibilities of one field to another. Indeed, a monist point of view such as ours should not make us blind: we, the living objects, are surely just big bags of molecules or, at least, this is our main metaphysical assumption. The point though is: which theory can help us to better understand these bags of molecules, as they are, indeed, rather “singular”, from the physical point of view. Technically, this singularity is expressed by the notion of “extended criticality”, a notion that logically extends the pointwise critical transitions in physics.

Philosophy Of Mathematics And Natural Science

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Author : Hermann Weyl
language : en
Publisher:
Release Date : 1949

Philosophy Of Mathematics And Natural Science written by Hermann Weyl and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1949 with Mathematics categories.

Reading Natural Philosophy

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Author : David B. Malament
language : en
Publisher: Open Court Publishing
Release Date : 2002

Reading Natural Philosophy written by David B. Malament and has been published by Open Court Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

In this book, 13 leading philosophers of science focus on the work of Professor Howard Stein, best known for his study of the intimate connection between philosophy and natural science. Also included is a comprehensive bibliography of Howard Stein's writings.

An Introduction To The Philosophy Of Mathematics

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Author : Mark Colyvan
language : en
Publisher: Cambridge University Press
Release Date : 2012-06-14

An Introduction To The Philosophy Of Mathematics written by Mark Colyvan 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 2012-06-14 with Mathematics categories.

A fascinating journey through intriguing mathematical and philosophical territory - a lively introduction to this contemporary topic.

Mathematics And Scientific Representation

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Author : Christopher Pincock
language : en
Publisher: Oxford University Press
Release Date : 2012-01-13

Mathematics And Scientific Representation written by Christopher Pincock 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 2012-01-13 with Philosophy categories.

Mathematics plays a central role in much of contemporary science, but philosophers have struggled to understand what this role is or how significant it might be for mathematics and science. In this book Christopher Pincock tackles this perennial question in a new way by asking how mathematics contributes to the success of our best scientific representations. In the first part of the book this question is posed and sharpened using a proposal for how we can determine the content of a scientific representation. Several different sorts of contributions from mathematics are then articulated. Pincock argues that each contribution can be understood as broadly epistemic, so that what mathematics ultimately contributes to science is best connected with our scientific knowledge. In the second part of the book, Pincock critically evaluates alternative approaches to the role of mathematics in science. These include the potential benefits for scientific discovery and scientific explanation. A major focus of this part of the book is the indispensability argument for mathematical platonism. Using the results of part one, Pincock argues that this argument can at best support a weak form of realism about the truth-value of the statements of mathematics. The book concludes with a chapter on pure mathematics and the remaining options for making sense of its interpretation and epistemology. Thoroughly grounded in case studies drawn from scientific practice, this book aims to bring together current debates in both the philosophy of mathematics and the philosophy of science and to demonstrate the philosophical importance of applications of mathematics.