Philosophy Of Mathematics And Natural Science

Download Philosophy Of Mathematics And Natural Science full books in PDF, epub, and Kindle. Read online Philosophy Of Mathematics And Natural Science ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Philosophy of Mathematics and Natural Science

Author : Hermann Weyl
Publisher : Princeton University Press
ISBN 13 : 1400833337
Total Pages : 332 pages
Book Rating : 4.4/5 (8 download)

DOWNLOAD NOW!

Book Synopsis Philosophy of Mathematics and Natural Science by : Hermann Weyl

Download or read book Philosophy of Mathematics and Natural Science written by Hermann Weyl and published by Princeton University Press. This book was released on 2021-09-14 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: When mathematician Hermann Weyl decided to write a book on philosophy, he faced what he referred to as "conflicts of conscience"--the objective nature of science, he felt, did not mesh easily with the incredulous, uncertain nature of philosophy. Yet the two disciplines were already intertwined. In Philosophy of Mathematics and Natural Science, Weyl examines how advances in philosophy were led by scientific discoveries--the more humankind understood about the physical world, the more curious we became. The book is divided into two parts, one on mathematics and the other on the physical sciences. Drawing on work by Descartes, Galileo, Hume, Kant, Leibniz, and Newton, Weyl provides readers with a guide to understanding science through the lens of philosophy. This is a book that no one but Weyl could have written--and, indeed, no one has written anything quite like it since.

Philosophy of Mathematics and Natural Science

Author : Hermann Weyl
Publisher :
ISBN 13 :
Total Pages : 311 pages
Book Rating : 4.:/5 (61 download)

DOWNLOAD NOW!

Book Synopsis Philosophy of Mathematics and Natural Science by : Hermann Weyl

Download or read book Philosophy of Mathematics and Natural Science written by Hermann Weyl and published by . This book was released on 1949 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics and the Natural Sciences

Author : Francis Bailly
Publisher : World Scientific
ISBN 13 : 1848166931
Total Pages : 337 pages
Book Rating : 4.8/5 (481 download)

DOWNLOAD NOW!

Book Synopsis Mathematics and the Natural Sciences by : Francis Bailly

Download or read book Mathematics and the Natural Sciences written by Francis Bailly and published by World Scientific. This book was released on 2011 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

New Directions in the Philosophy of Mathematics

Author : Thomas Tymoczko
Publisher : Princeton University Press
ISBN 13 : 9780691034980
Total Pages : 458 pages
Book Rating : 4.0/5 (349 download)

DOWNLOAD NOW!

Book Synopsis New Directions in the Philosophy of Mathematics by : Thomas Tymoczko

Download or read book New Directions in the Philosophy of Mathematics written by Thomas Tymoczko and published by Princeton University Press. This book was released on 1998-02 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The traditional debate among philosophers of mathematics is whether there is an external mathematical reality, something out there to be discovered, or whether mathematics is the product of the human mind. This provocative book, now available in a revised and expanded paperback edition, goes beyond foundationalist questions to offer what has been called a "postmodern" assessment of the philosophy of mathematics--one that addresses issues of theoretical importance in terms of mathematical experience. By bringing together essays of leading philosophers, mathematicians, logicians, and computer scientists, Thomas Tymoczko reveals an evolving effort to account for the nature of mathematics in relation to other human activities. These accounts include such topics as the history of mathematics as a field of study, predictions about how computers will influence the future organization of mathematics, and what processes a proof undergoes before it reaches publishable form. This expanded edition now contains essays by Penelope Maddy, Michael D. Resnik, and William P. Thurston that address the nature of mathematical proofs. The editor has provided a new afterword and a supplemental bibliography of recent work.

Philosophy of Science

Author : Alexander Christian
Publisher : Springer
ISBN 13 : 3319725777
Total Pages : 274 pages
Book Rating : 4.3/5 (197 download)

DOWNLOAD NOW!

Book Synopsis Philosophy of Science by : Alexander Christian

Download or read book Philosophy of Science written by Alexander Christian and published by Springer. This book was released on 2018-03-26 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This broad and insightful book presents current scholarship in important subfields of philosophy of science and addresses an interdisciplinary and multidisciplinary readership. It groups carefully selected contributions into the four fields of I) philosophy of physics, II) philosophy of life sciences, III) philosophy of social sciences and values in science, and IV) philosophy of mathematics and formal modeling. Readers will discover research papers by Paul Hoyningen-Huene, Keizo Matsubara, Kian Salimkhani, Andrea Reichenberger, Anne Sophie Meincke, Javier Suárez, Roger Deulofeu, Ludger Jansen, Peter Hucklenbroich, Martin Carrier, Elizaveta Kostrova, Lara Huber, Jens Harbecke, Antonio Piccolomini d’Aragona and Axel Gelfert. This collection fosters dialogue between philosophers of science working in different subfields, and brings readers the finest and latest work across the breadth of the field, illustrating that contemporary philosophy of science has successfully broadened its scope of reflection. It will interest and inspire a wide audience of philosophers as well as scholars of the natural sciences, social sciences and the humanities. The volume shares selected contributions from the prestigious second triennial conference of the German Society for Philosophy of Science/ Gesellschaft für Wissenschaftsphilosophie (GWP.2016, March 8, 2016 – March 11, 2016).

Order and Organism

Author : Murray Code
Publisher : SUNY Press
ISBN 13 : 9780873959513
Total Pages : 280 pages
Book Rating : 4.9/5 (595 download)

DOWNLOAD NOW!

Book Synopsis Order and Organism by : Murray Code

Download or read book Order and Organism written by Murray Code and published by SUNY Press. This book was released on 1985-01-01 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is now needed is a way of thinking about the physical that is realistic in outlook but which departs radically from the mechanistic post-Galilean tradition. Since it seems clear that we can no longer take for granted the certainty and absolute objectivity of scientific knowledge, any alternative view must be able to do full justice to subjective modes of knowing. Order and Organism shows how Alfred North Whitehead's thought can reconcile some of the most insistent demands of common sense with the esoteric results of modern physics and mathematics. Whitehead shows a way to resolve the perennial puzzle of why mathematics works. Under his view, it is possible to account for the necessity and uniqueness of mathematical theories without denying the fact that such theories often arise from the mathematician's essentially aesthetic interest in various kinds of pattern.

Platonism, Naturalism, and Mathematical Knowledge

Author : James Robert Brown
Publisher : Routledge
ISBN 13 : 1136580387
Total Pages : 195 pages
Book Rating : 4.1/5 (365 download)

DOWNLOAD NOW!

Book Synopsis Platonism, Naturalism, and Mathematical Knowledge by : James Robert Brown

Download or read book Platonism, Naturalism, and Mathematical Knowledge written by James Robert Brown and published by Routledge. This book was released on 2013-06-17 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study addresses a central theme in current philosophy: Platonism vs Naturalism and provides accounts of both approaches to mathematics, crucially discussing Quine, Maddy, Kitcher, Lakoff, Colyvan, and many others. Beginning with accounts of both approaches, Brown defends Platonism by arguing that only a Platonistic approach can account for concept acquisition in a number of special cases in the sciences. He also argues for a particular view of applied mathematics, a view that supports Platonism against Naturalist alternatives. Not only does this engaging book present the Platonist-Naturalist debate over mathematics in a comprehensive fashion, but it also sheds considerable light on non-mathematical aspects of a dispute that is central to contemporary philosophy.

Physics, Philosophy, and the Scientific Community

Author : K. Gavroglu
Publisher : Springer Science & Business Media
ISBN 13 : 9401726582
Total Pages : 405 pages
Book Rating : 4.4/5 (17 download)

DOWNLOAD NOW!

Book Synopsis Physics, Philosophy, and the Scientific Community by : K. Gavroglu

Download or read book Physics, Philosophy, and the Scientific Community written by K. Gavroglu and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: In three volumes, a distinguished group of scholars from a variety of disciplines in the natural and social sciences, the humanities and the arts contribute essays in honor of Robert S. Cohen, on the occasion of his 70th birthday. The range of the essays, as well as their originality, and their critical and historical depth, pay tribute to the extraordinary scope of Professor Cohen's intellectual interests, as a scientist-philosopher and a humanist, and also to his engagement in the world of social and political practice. The essays presented in Physics, Philosophy, and the Scientific Community (Volume I of Essays in Honor of Robert S. Cohen) focus on philosophical and historical issues in contemporary physics: on the origins and conceptual foundations of quantum mechanics, on the reception and understanding of Bohr's and Einstein's work, on the emergence of quantum electrodynamics, and on some of the sharp philosophical and scientific issues that arise in current scientific practice (e.g. in superconductivity research). In addition, several essays deal with critical issues within the philosophy of science, both historical and contemporary: e.g. with Cartesian notions of mechanism in the philosophy of biology; with the language and logic of science - e.g. with new insights concerning the issue of a `physicalistic' language in the arguments of Neurath, Carnap and Wittgenstein; with the notion of `elementary logic'; and with rational and non-rational elements in the history of science. Two original contributions to the history of mathematics and some studies in the comparative sociology of science round off this outstanding collection.

Mind and Nature

Author : Hermann Weyl
Publisher : Princeton University Press
ISBN 13 : 1400833329
Total Pages : 272 pages
Book Rating : 4.4/5 (8 download)

DOWNLOAD NOW!

Book Synopsis Mind and Nature by : Hermann Weyl

Download or read book Mind and Nature written by Hermann Weyl and published by Princeton University Press. This book was released on 2009-03-31 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Philosophy of Natural Science

Author : Carl Gustav Hempel
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.:/5 (319 download)

DOWNLOAD NOW!

Book Synopsis Philosophy of Natural Science by : Carl Gustav Hempel

Download or read book Philosophy of Natural Science written by Carl Gustav Hempel and published by Prentice Hall. This book was released on 1966 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the logic and methodology of scientific inquiry rather than its substantive results.

Mathematics and Its Applications to Science and Natural Philosophy in the Middle Ages

Author : Edward Grant
Publisher : Cambridge University Press
ISBN 13 : 052132260X
Total Pages : 354 pages
Book Rating : 4.5/5 (213 download)

DOWNLOAD NOW!

Book Synopsis Mathematics and Its Applications to Science and Natural Philosophy in the Middle Ages by : Edward Grant

Download or read book Mathematics and Its Applications to Science and Natural Philosophy in the Middle Ages written by Edward Grant and published by Cambridge University Press. This book was released on 1987-08 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eleven distinguished historians of science explore natural philosophy and mathematics in the Middle Ages.

The Pythagorean World

Author : Jane McDonnell
Publisher : Springer
ISBN 13 : 331940976X
Total Pages : 394 pages
Book Rating : 4.3/5 (194 download)

DOWNLOAD NOW!

Book Synopsis The Pythagorean World by : Jane McDonnell

Download or read book The Pythagorean World written by Jane McDonnell and published by Springer. This book was released on 2016-11-17 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores precisely how mathematics allows us to model and predict the behaviour of physical systems, to an amazing degree of accuracy. One of the oldest explanations for this is that, in some profound way, the structure of the world is mathematical. The ancient Pythagoreans stated that “everything is number”. However, while exploring the Pythagorean method, this book chooses to add a second principle of the universe: the mind. This work defends the proposition that mind and mathematical structure are the grounds of reality.

Philosophy, Mathematics and Modern Physics

Author : Enno Rudolph
Publisher : Springer Science & Business Media
ISBN 13 : 3642788084
Total Pages : 249 pages
Book Rating : 4.6/5 (427 download)

DOWNLOAD NOW!

Book Synopsis Philosophy, Mathematics and Modern Physics by : Enno Rudolph

Download or read book Philosophy, Mathematics and Modern Physics written by Enno Rudolph and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent times a new dialogue has begun between the natural sciences and the humanities. This is particularly true of physics and philosophy, whose sphere of mutual interest expanded significantly with the advent of quantum mechanics. Among other topics, the discussion covers the evolution of theories, the role of mathematics in the physical sciences, the perception and cognition of nature and definitions of space and time. In contrast to the custom of the last two centuries, mathematics - the language of physics - is once again finding a respected place in the discourse of philosophers. The interdisciplinary communication between philosophers, mathematicians and physicists will be given new impetus by the thoughtful and wide-ranging contributions to this book.

On the Relation between Mathematics, Natural Sciences, And Scientific Inquiry

Author : V. Christianto
Publisher : Infinite Study
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4./5 ( download)

DOWNLOAD NOW!

Book Synopsis On the Relation between Mathematics, Natural Sciences, And Scientific Inquiry by : V. Christianto

Download or read book On the Relation between Mathematics, Natural Sciences, And Scientific Inquiry written by V. Christianto and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article, we will shortly review a few old thoughts and recent thoughts on the relation between Mathematics and the Natural Sciences. Of course, the classic references to this open problem will include Wigner’s paper (1964); a more recent review article is Darvas (2008). But it appears that this issue is partly on the domain of natural philosophy and also philosophy of inquiry. Therefore we will begin with a review on some known thoughts of Kant, Bacon, Popper, etc.

Bridging the Gap: Philosophy, Mathematics, and Physics

Author : G. Corsi
Publisher : Springer Science & Business Media
ISBN 13 : 9401124965
Total Pages : 330 pages
Book Rating : 4.4/5 (11 download)

DOWNLOAD NOW!

Book Synopsis Bridging the Gap: Philosophy, Mathematics, and Physics by : G. Corsi

Download or read book Bridging the Gap: Philosophy, Mathematics, and Physics written by G. Corsi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundational questions in logic, mathematics, computer science and physics are constant sources of epistemological debate in contemporary philosophy. To what extent is the transfinite part of mathematics completely trustworthy? Why is there a general `malaise' concerning the logical approach to the foundations of mathematics? What is the role of symmetry in physics? Is it possible to build a coherent worldview compatible with a macroobjectivistic position and based on the quantum picture of the world? What account can be given of opinion change in the light of new evidence? These are some of the questions discussed in this volume, which collects 14 lectures on the foundation of science given at the School of Philosophy of Science, Trieste, October 1989. The volume will be of particular interest to any student or scholar engaged in interdisciplinary research into the foundations of science in the context of contemporary debates.

Philosophy of Science for Scientists

Author : Lars-Göran Johansson
Publisher : Springer
ISBN 13 : 3319265512
Total Pages : 257 pages
Book Rating : 4.3/5 (192 download)

DOWNLOAD NOW!

Book Synopsis Philosophy of Science for Scientists by : Lars-Göran Johansson

Download or read book Philosophy of Science for Scientists written by Lars-Göran Johansson and published by Springer. This book was released on 2015-12-17 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers an introduction to the philosophy of science. It helps undergraduate students from the natural, the human and social sciences to gain an understanding of what science is, how it has developed, what its core traits are, how to distinguish between science and pseudo-science and to discover what a scientific attitude is. It argues against the common assumption that there is fundamental difference between natural and human science, with natural science being concerned with testing hypotheses and discovering natural laws, and the aim of human and some social sciences being to understand the meanings of individual and social group actions. Instead examines the similarities between the sciences and shows how the testing of hypotheses and doing interpretation/hermeneutics are similar activities. The book makes clear that lessons from natural scientists are relevant to students and scholars within the social and human sciences, and vice versa. It teaches its readers how to effectively demarcate between science and pseudo-science and sets criteria for true scientific thinking. Divided into three parts, the book first examines the question What is Science? It describes the evolution of science, defines knowledge, and explains the use of and need for hypotheses and hypothesis testing. The second half of part I deals with scientific data and observation, qualitative data and methods, and ends with a discussion of theories on the development of science. Part II offers philosophical reflections on four of the most important con cepts in science: causes, explanations, laws and models. Part III presents discussions on philosophy of mind, the relation between mind and body, value-free and value-related science, and reflections on actual trends in science.

Interactions

Author : Vincent F. Hendricks
Publisher : Springer Science & Business Media
ISBN 13 : 1402051956
Total Pages : 345 pages
Book Rating : 4.4/5 (2 download)

DOWNLOAD NOW!

Book Synopsis Interactions by : Vincent F. Hendricks

Download or read book Interactions written by Vincent F. Hendricks and published by Springer Science & Business Media. This book was released on 2007-01-17 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theme of this anthology is the unique interaction between mathematics, physics and philosophy during the beginning of the 20th century. In this book, ten renowned philosopher-historians probe insightfully into key conceptual questions of pre-quantum mathematical physics. The result is a diverse yet thematically focused compilation of first class papers on mathematics, physics and philosophy, and a source-book on the interaction between them.