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Outlines of a Formalist Philosophy of Mathematics

Author : Haskell B (Haskell Brooks) 1 Curry

Publisher : Hassell Street Press

Page : 92 pages

File Size : 20,53 MB

Release : 2021-09-09

Category :

ISBN : 9781014245038

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Book Description

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.





An Historical Introduction to the Philosophy of Mathematics: A Reader

Author : Russell Marcus

Publisher : Bloomsbury Publishing

Page : 849 pages

File Size : 49,76 MB

Release : 2016-02-11

Category : Philosophy

ISBN : 1472529480

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Book Description

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.



Philosophy of Mathematics

Author : Paul Benacerraf

Publisher : Cambridge University Press

Page : 604 pages

File Size : 16,99 MB

Release : 1983

Category : Mathematics

ISBN : 9780521296489

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Book Description

Seminal articles in the philosophy of mathematics by Russell, Quine, Gödel and other major thinkers.



The Philosophy of Philip Kitcher

Author : Mark Couch

Publisher : Oxford University Press

Page : 329 pages

File Size : 40,59 MB

Release : 2016

Category : Philosophy

ISBN : 0199381356

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Book Description

The Philosophy of Philip Kitcher offers an examination of the work of Philip Kitcher. It contains chapters written by leading scholars on Kitcher's work, as well as Kitcher's replies to these authors.



Platonism and Anti-Platonism in Mathematics

Author : Mark Balaguer

Publisher :

Page : 234 pages

File Size : 43,61 MB

Release : 2001

Category : Mathematics

ISBN : 9780195143980

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Book Description

In this book, Balaguer demonstrates that there are no good arguments for or against mathematical platonism. He does this by establishing that both platonism and anti-platonism are defensible. (Philosophy)





Connecting Humans to Equations

Author : Ole Ravn

Publisher : Springer

Page : 197 pages

File Size : 11,45 MB

Release : 2019-02-06

Category : Education

ISBN : 3030013375

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Book Description

Connecting Humans to Equations: A Reinterpretation of the Philosophy of Mathematics presents some of the most important positions in the philosophy of mathematics, while adding new dimensions to this philosophy. Mathematics is an integral part of human and social life, meaning that a philosophy of mathematics must include several dimensions. This book describes these dimensions by the following four questions that structure the content of the book: Where is mathematics? How certain is mathematics? How social is mathematics? How good is mathematics? These four questions refer to the ontological, epistemological, social, and ethical dimension of a philosophy of mathematics. While the ontological and epistemological dimensions have been explored in all classic studies in the philosophy of mathematics, the exploration of the book is unique in its social and ethical dimensions. It argues that the foundation of mathematics is deeply connected to human and social actions and that mathematics includes not just descriptive but also performative features. This human-centered and accessible interpretation of mathematics is relevant for students in mathematics, mathematics education, and any technical discipline and for anybody working with mathematics.



Mathematical Pluralism

Author : Graham Priest

Publisher : Cambridge University Press

Page : 93 pages

File Size : 31,9 MB

Release : 2024-04-30

Category : Philosophy

ISBN : 1009089080

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Book Description

Mathematical pluralism is the view that there is an irreducible plurality of pure mathematical structures, each with their own internal logics; and that qua pure mathematical structures they are all equally legitimate. Mathematical pluralism is a relatively new position on the philosophical landscape. This Element provides an introduction to the position.