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Author : Haskell Brooks Curry
Publisher : Elsevier
ISBN 13 : 0444533680
Total Pages : 85 pages
Book Rating : 4.85/5 ( download)
Download or read book Outlines of a Formalist Philosophy of Mathematics written by Haskell Brooks Curry and published by Elsevier. This book was released on 1951 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Haskell Brooks Curry
Publisher :
ISBN 13 :
Total Pages : 83 pages
Book Rating : 4.36/5 ( download)
Download or read book Outlines of a Formalist Philosophy of Mathematics. Haskell B. Curry, ... written by Haskell Brooks Curry and published by . This book was released on 1951 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Haskell B (Haskell Brooks) 1 Curry
Publisher : Hassell Street Press
ISBN 13 : 9781014245038
Total Pages : 92 pages
Book Rating : 4.36/5 ( download)
Download or read book Outlines of a Formalist Philosophy of Mathematics written by Haskell B (Haskell Brooks) 1 Curry and published by Hassell Street Press. This book was released on 2021-09-09 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : James Robert Brown
Publisher : Routledge
ISBN 13 : 1134806434
Total Pages : 181 pages
Book Rating : 4.30/5 ( download)
Download or read book Philosophy of Mathematics written by James Robert Brown and published by Routledge. This book was released on 2005-08-09 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosophy of Mathematics is an excellent introductory text. This student friendly book discusses the great philosophers and the importance of mathematics to their thought. It includes the following topics: * the mathematical image * platonism * picture-proofs * applied mathematics * Hilbert and Godel * knots and nations * definitions * picture-proofs and Wittgenstein * computation, proof and conjecture. The book is ideal for courses on philosophy of mathematics and logic.
Author : Thomas Bedürftig
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110468336
Total Pages : 474 pages
Book Rating : 4.35/5 ( download)
Download or read book Philosophy of Mathematics written by Thomas Bedürftig and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-10-26 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book is an introduction to the philosophy of mathematics. It asks philosophical questions concerning fundamental concepts, constructions and methods - this is done from the standpoint of mathematical research and teaching. It looks for answers both in mathematics and in the philosophy of mathematics from their beginnings till today. The reference point of the considerations is the introducing of the reals in the 19th century that marked an epochal turn in the foundations of mathematics. In the book problems connected with the concept of a number, with the infinity, the continuum and the infinitely small, with the applicability of mathematics as well as with sets, logic, provability and truth and with the axiomatic approach to mathematics are considered. In Chapter 6 the meaning of infinitesimals to mathematics and to the elements of analysis is presented. The authors of the present book are mathematicians. Their aim is to introduce mathematicians and teachers of mathematics as well as students into the philosophy of mathematics. The book is suitable also for professional philosophers as well as for students of philosophy, just because it approaches philosophy from the side of mathematics. The knowledge of mathematics needed to understand the text is elementary. Reports on historical conceptions. Thinking about today‘s mathematical doing and thinking. Recent developments. Based on the third, revised German edition. For mathematicians - students, teachers, researchers and lecturers - and readersinterested in mathematics and philosophy. Contents On the way to the reals On the history of the philosophy of mathematics On fundamental questions of the philosophy of mathematics Sets and set theories Axiomatic approach and logic Thinking and calculating infinitesimally – First nonstandard steps Retrospection
Author : Maria Aparecida Viggiani Bicudo
Publisher : Springer Nature
ISBN 13 : 3031352092
Total Pages : 492 pages
Book Rating : 4.96/5 ( download)
Download or read book Ongoing Advancements in Philosophy of Mathematics Education written by Maria Aparecida Viggiani Bicudo and published by Springer Nature. This book was released on 2023-11-01 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ongoing Advancements in Philosophy of Mathematics Education approaches the philosophy of mathematics education in a forward movement, analyzing, reflecting, and proposing significant contemporary themes in the field of mathematics education. The theme that gives life to the book is philosophy of mathematics education understood as arising from the intertwining between philosophy of mathematics and philosophy of education which, through constant analytical and reflective work regarding teaching and learning practices in mathematics, is materialized in its own discipline, philosophy of mathematics education. This is the field of investigation of the chapters in the book. The chapters are written by an international cohort of authors, from a variety of countries, regions, and continents. Some of these authors work with philosophical and psychological foundations traditionally accepted by Western civilization. Others expose theoretical foundations based on a new vision and comprising innovative approaches to historical and present-day issues in educational philosophy. The final third of the book is devoted to these unique and innovative research stances towards important and change resistant societal topics such as racism, technology gaps, or the promotion of creativity in the field of mathematics education.
Author : Russell Marcus
Publisher : Bloomsbury Publishing
ISBN 13 : 1472532910
Total Pages : 896 pages
Book Rating : 4.16/5 ( 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 896 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 : V.H. Klenk
Publisher : Springer Science & Business Media
ISBN 13 : 9401013918
Total Pages : 160 pages
Book Rating : 4.18/5 ( download)
Download or read book Wittgenstein’s Philosophy of Mathematics written by V.H. Klenk and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wittgenstein's remarks on mathematics have not received the recogni tion they deserve; they have for the most part been either ignored, or dismissed as unworthy of the author of the Tractatus and the I nvestiga tions. This is unfortunate, I believe, and not at all fair, for these remarks are not only enjoyable reading, as even the harshest critics have con ceded, but also a rich and genuine source of insight into the nature of mathematics. It is perhaps the fact that they are more suggestive than systematic which has put so many people off; there is nothing here of formal derivation and very little attempt even at sustained and organized argumentation. The remarks are fragmentary and often obscure, if one does not recognize the point at which they are directed. Nevertheless, there is much here that is good, and even a fairly system atic and coherent account of mathematics. What I have tried to do in the following pages is to reconstruct the system behind the often rather disconnected commentary, and to show that when the theory emerges, most of the harsh criticism which has been directed against these re marks is seen to be without foundation. This is meant to be a sym pathetic account of Wittgenstein's views on mathematics, and I hope that it will at least contribute to a further reading and reassessment of his contributions to the philosophy of mathematics.
Author : Alexander L. George
Publisher : Wiley-Blackwell
ISBN 13 : 9780631195436
Total Pages : 240 pages
Book Rating : 4.32/5 ( download)
Download or read book Philosophies of Mathematics written by Alexander L. George and published by Wiley-Blackwell. This book was released on 2001-12-03 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an accessible, critical introduction to the three main approaches that dominated work in the philosophy of mathematics during the twentieth century: logicism, intuitionism and formalism.
Author : David Bostock
Publisher : John Wiley & Sons
ISBN 13 : 1405189924
Total Pages : 345 pages
Book Rating : 4.27/5 ( download)
Download or read book Philosophy of Mathematics written by David Bostock and published by John Wiley & Sons. This book was released on 2009-03-09 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosophy of Mathematics: An Introduction provides a critical analysis of the major philosophical issues and viewpoints in the concepts and methods of mathematics - from antiquity to the modern era. Offers beginning readers a critical appraisal of philosophical viewpoints throughout history Gives a separate chapter to predicativism, which is often (but wrongly) treated as if it were a part of logicism Provides readers with a non-partisan discussion until the final chapter, which gives the author's personal opinion on where the truth lies Designed to be accessible to both undergraduates and graduate students, and at the same time to be of interest to professionals
