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Pluralism in mathematics

Published:2005-09-12 Issue:1835 Volume:363 Page:2449-2460
ISSN:1364-503X
Container-title:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Phil. Trans. R. Soc. A.

Author:

Davies E.B¹

Affiliation:

1. Department of Mathematics, King's CollegeStrand, London WC2R 2LS, UK

Abstract

We defend pluralism in mathematics, and in particular Errett Bishop's constructive approach to mathematics, on pragmatic grounds, avoiding the philosophical issues which have dissuaded many mathematicians from taking it seriously. We also explain the computational value of interval arithmetic.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2005.1657

Reference23 articles.

1. Did Bishop Have a Philosophy of Mathematics?†

2. Bishop E. 1967 Foundations of constructive analysis. New York:McGraw-Hill.

3. Multiple solutions for a semilinear boundary value problem: a computational multiplicity proof

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1. Mathematics in India: Pluralism and the Possibility of Dialogue;Multicivilizational Exchanges in the Making of Modern Science;2024

2. Hierarchical Multiverse of Sets;Notre Dame Journal of Formal Logic;2023-11-01

3. Modes of Knowing in Mathematics;Knowledge and Time;2017

4. Where Is Mathematics? [Point of View];Proceedings of the IEEE;2014-01

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