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Author : Gottlob Frege
Publisher :
ISBN 13 : 9780226261973
Total Pages : 288 pages
Book Rating : 4.2/5 (619 download)
Download or read book Philosophical and Mathematical Correspondence written by Gottlob Frege and published by . This book was released on 1979 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bernard Bolzano
Publisher : Rodopi
ISBN 13 : 9789042017818
Total Pages : 208 pages
Book Rating : 4.0/5 (178 download)
Download or read book On the Mathematical Method and Correspondence with Exner written by Bernard Bolzano and published by Rodopi. This book was released on 2004 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Prague Philosopher Bernard Bolzano (1781-1848) has long been admired for his groundbreaking work in mathematics: his rigorous proofs of fundamental theorems in analysis, his construction of a continuous, nowhere-differentiable function, his investigations of the infinite, and his anticipations of Cantor's set theory. He made equally outstanding contributions in philosophy, most notably in logic and methodology. One of the greatest mathematician-philosophers since Leibniz, Bolzano is now widely recognised as a major figure of nineteenth-century philosophy. Praised by Husserl as "one of the greatest logicians of all times," he has also been recognised by Michael Dummett as one of the first modern analytic philosophers and by Alberto Coffa as the founder of the "semantic tradition." This volume contains English translations of the essay "On the Mathematical Method," a concise introduction to Bolzano's logic and philosophy of mathematics, as well as substantial selections from his correspondence with Franz Exner, Professor of Philosophy at the Charles University in Prague in the 1830s and 40s. It will be of interest to students of Austrian philosophy, the development of analytic philosophy, the philosophy of language, and the history and philosophy of logic and mathematics.
Author : Gottlob Frege
Publisher :
ISBN 13 : 9780226261973
Total Pages : 288 pages
Book Rating : 4.2/5 (619 download)
Download or read book Philosophical and Mathematical Correspondence written by Gottlob Frege and published by . This book was released on 1979 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William Demopoulos
Publisher : Harvard University Press
ISBN 13 : 9780674319424
Total Pages : 492 pages
Book Rating : 4.3/5 (194 download)
Download or read book Frege's Philosophy of Mathematics written by William Demopoulos and published by Harvard University Press. This book was released on 1995 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Widespread interest in Frege's general philosophical writings is, relatively speaking, a fairly recent phenomenon. But it is only very recently that his philosophy of mathematics has begun to attract the attention it now enjoys. This interest has been elicited by the discovery of the remarkable mathematical properties of Frege's contextual definition of number and of the unique character of his proposals for a theory of the real numbers. This collection of essays addresses three main developments in recent work on Frege's philosophy of mathematics: the emerging interest in the intellectual background to his logicism; the rediscovery of Frege's theorem; and the reevaluation of the mathematical content of The Basic Laws of Arithmetic. Each essay attempts a sympathetic, if not uncritical, reconstruction, evaluation, or extension of a facet of Frege's theory of arithmetic. Together they form an accessible and authoritative introduction to aspects of Frege's thought that have, until now, been largely missed by the philosophical community.
Author : Bertrand Russell
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.3/5 (91 download)
Download or read book Introduction to Mathematical Philosophy written by Bertrand Russell and published by . This book was released on 1920 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Simon Duffy
Publisher : A&C Black
ISBN 13 : 1441113894
Total Pages : 225 pages
Book Rating : 4.4/5 (411 download)
Download or read book Deleuze and the History of Mathematics written by Simon Duffy and published by A&C Black. This book was released on 2013-05-09 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gilles Deleuze's engagements with mathematics, replete in his work, rely upon the construction of alternative lineages in the history of mathematics, which challenge some of the self imposed limits that regulate the canonical concepts of the discipline. For Deleuze, these challenges provide an opportunity to reconfigure particular philosophical problems - for example, the problem of individuation - and to develop new concepts in response to them. The highly original research presented in this book explores the mathematical construction of Deleuze's philosophy, as well as addressing the undervalued and often neglected question of the mathematical thinkers who influenced his work. In the wake of Alain Badiou's recent and seemingly devastating attack on the way the relation between mathematics and philosophy is configured in Deleuze's work, Simon B.Duffy offers a robust defence of the structure of Deleuze's philosophy and, in particular, the adequacy of the mathematical problems used in its construction. By reconciling Badiou and Deleuze's seemingly incompatible engagements with mathematics, Duffy succeeds in presenting a solid foundation for Deleuze's philosophy, rebuffing the recent challenges against it.
Author : Gottlob Frege
Publisher : Wiley-Blackwell
ISBN 13 : 9780631127284
Total Pages : 422 pages
Book Rating : 4.1/5 (272 download)
Download or read book Collected Papers on Mathematics, Logic, and Philosophy written by Gottlob Frege and published by Wiley-Blackwell. This book was released on 1991-01-08 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas A. Boylan
Publisher : Routledge
ISBN 13 : 1351124544
Total Pages : 307 pages
Book Rating : 4.3/5 (511 download)
Download or read book Philosophy of Mathematics and Economics written by Thomas A. Boylan and published by Routledge. This book was released on 2018-04-09 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the failure of economics to predict the recent economic crisis, the image of economics as a rigorous mathematical science has been subjected to increasing interrogation. One explanation for this failure is that the subject took a wrong turn in its historical trajectory, becoming too mathematical. Using the philosophy of mathematics, this unique book re-examines this trajectory. Philosophy of Mathematics and Economics re-analyses the divergent rationales for mathematical economics by some of its principal architects. Yet, it is not limited to simply enhancing our understanding of how economics became an applied mathematical science. The authors also critically evaluate developments in the philosophy of mathematics to expose the inadequacy of aspects of mainstream mathematical economics, as well as exploiting the same philosophy to suggest alternative ways of rigorously formulating economic theory for our digital age. This book represents an innovative attempt to more fully understand the complexity of the interaction between developments in the philosophy of mathematics and the process of formalisation in economics. Assuming no expert knowledge in the philosophy of mathematics, this work is relevant to historians of economic thought and professional philosophers of economics. In addition, it will be of great interest to those who wish to deepen their appreciation of the economic contours of contemporary society. It is also hoped that mathematical economists will find this work informative and engaging.
Author : John P. Burgess
Publisher : Princeton University Press
ISBN 13 : 9780691122311
Total Pages : 276 pages
Book Rating : 4.1/5 (223 download)
Download or read book Fixing Frege written by John P. Burgess and published by Princeton University Press. This book was released on 2005-07-25 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gottlob Frege's attempt to found mathematics on a grand logical system came to grief when Bertrand Russell discovered a contradiction in it. This book surveys consistent restrictions in both the old and new versions of Frege's system, determining just how much of mathematics can be reconstructed in each.
Author : Charles Hutton
Publisher :
ISBN 13 :
Total Pages : 686 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Philosophical and Mathematical Dictionary written by Charles Hutton and published by . This book was released on 1815 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael P. Lynch
Publisher : OUP Oxford
ISBN 13 : 0191615765
Total Pages : 216 pages
Book Rating : 4.1/5 (916 download)
Download or read book Truth as One and Many written by Michael P. Lynch and published by OUP Oxford. This book was released on 2011-03-31 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is truth? Michael Lynch defends a bold new answer to this question. Traditional theories of truth hold that truth has only a single uniform nature. All truths are true in the same way. More recent deflationary theories claim that truth has no nature at all; the concept of truth is of no real philosophical importance. In this concise and clearly written book, Lynch argues that we should reject both these extremes and hold that truth is a functional property. To understand truth we must understand what it does, its function in our cognitive economy. Once we understand that, we'll see that this function can be performed in more than one way. And that in turn opens the door to an appealing pluralism: beliefs about the concrete physical world needn't be true in the same way as our thoughts about matters — like morality — where the human stain is deepest.
Author : Alfred North Whitehead
Publisher :
ISBN 13 :
Total Pages : 688 pages
Book Rating : 4.3/5 (91 download)
Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Russell Marcus
Publisher : Bloomsbury Publishing
ISBN 13 : 1472529480
Total Pages : 849 pages
Book Rating : 4.4/5 (725 download)
Download or read book An Historical Introduction to the Philosophy of Mathematics: A Reader written by Russell Marcus and published by Bloomsbury Publishing. This book was released on 2016-02-11 with total page 849 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive collection of historical readings in the philosophy of mathematics and a selection of influential contemporary work, this much-needed introduction reveals the rich history of the subject. An Historical Introduction to the Philosophy of Mathematics: A Reader brings together an impressive collection of primary sources from ancient and modern philosophy. Arranged chronologically and featuring introductory overviews explaining technical terms, this accessible reader is easy-to-follow and unrivaled in its historical scope. With selections from key thinkers such as Plato, Aristotle, Descartes, Hume and Kant, it connects the major ideas of the ancients with contemporary thinkers. A selection of recent texts from philosophers including Quine, Putnam, Field and Maddy offering insights into the current state of the discipline clearly illustrates the development of the subject. Presenting historical background essential to understanding contemporary trends and a survey of recent work, An Historical Introduction to the Philosophy of Mathematics: A Reader is required reading for undergraduates and graduate students studying the philosophy of mathematics and an invaluable source book for working researchers.
Author : Øystein Linnebo
Publisher : Princeton University Press
ISBN 13 : 069120229X
Total Pages : 214 pages
Book Rating : 4.6/5 (912 download)
Download or read book Philosophy of Mathematics written by Øystein Linnebo and published by Princeton University Press. This book was released on 2020-03-24 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : G.W. Leibniz
Publisher : Springer Science & Business Media
ISBN 13 : 9401014264
Total Pages : 743 pages
Book Rating : 4.4/5 (1 download)
Download or read book Philosophical Papers and Letters written by G.W. Leibniz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: The selections contained in these volumes from the papers and letters of Leibniz are intended to serve the student in two ways: first, by providing a more adequate and balanced conception of the full range and penetration of Leibniz's creative intellectual powers; second, by inviting a fresher approach to his intellectual growth and a clearer perception of the internal strains in his thinking, through a chronological arrangement. Much confusion has arisen in the past through a neglect of the develop ment of Leibniz's ideas, and Couturat's impressive plea, in his edition of the Opuscu/es et fragments (p. xii), for such an arrangement is valid even for incomplete editions. The beginning student will do well, however, to read the maturer writings of Parts II, III, and IV first, leaving Part I, from a period too largely neglected by Leibniz criticism, for a later study of the still obscure sources and motives of his thought. The Introduction aims primarily to provide cultural orientation and an exposition of the structure and the underlying assumptions of the philosophical system rather than a critical evaluation. I hope that together with the notes and the Index, it will provide those aids to the understanding which the originality of Leibniz's scientific, ethical, and metaphysical efforts deserve.
Author : Claire Ortiz Hill
Publisher : Open Court Publishing
ISBN 13 : 9780812694178
Total Pages : 354 pages
Book Rating : 4.6/5 (941 download)
Download or read book Husserl Or Frege? written by Claire Ortiz Hill and published by Open Court Publishing. This book was released on 2000 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most areas of philosopher Edmund Husserl’s thought have been explored, but his views on logic, mathematics, and semantics have been largely ignored. These essays offer an alternative to discussions of the philosophy of contemporary mathematics. The book covers areas of disagreement between Husserl and Gottlob Frege, the father of analytical philosophy, and explores new perspectives seen in their work.
Author : Stefania Centrone
Publisher : Springer
ISBN 13 : 9402411321
Total Pages : 541 pages
Book Rating : 4.4/5 (24 download)
Download or read book Essays on Husserl's Logic and Philosophy of Mathematics written by Stefania Centrone and published by Springer. This book was released on 2017-09-07 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essays on Husserl’s Logic and Philosophy of Mathematics sets out to fill up a lacuna in the present research on Husserl by presenting a precise account of Husserl’s work in the field of logic, of the philosophy of logic and of the philosophy of mathematics. The aim is to provide an in-depth reconstruction and analysis of the discussion between Husserl and his most important interlocutors, and to clarify pivotal ideas of Husserl’s by considering their reception and elaboration by some of his disciples and followers, such as Oskar Becker and Jacob Klein, as well as their influence on some of the most significant logicians and mathematicians of the past century, such as Luitzen E. J. Brouwer, Rudolf Carnap, Kurt Gödel and Hermann Weyl. Most of the papers consider Husserl and another scholar – e.g. Leibniz, Kant, Bolzano, Brentano, Cantor, Frege – and trace out and contextualize lines of influence, points of contact, and points of disagreement. Each essay is written by an expert of the field, and the volume includes contributions both from the analytical tradition and from the phenomenological one.
