A Defence of Mathematical Pluralism

Philosophia Mathematica 13 (3):252-276 (2005)
  Copy   BIBTEX

Abstract

We approach the philosophy of mathematics via a discussion of the differences between classical mathematics and constructive mathematics, arguing that each is a valid activity within its own context.

Categories

Keywords

Reprint years

DOI

10.1093/philmat/nki017

Other Versions

No versions found

Links

PhilArchive

    This entry is not archived by us. If you are the author and have permission from the publisher, we recommend that you archive it. Many publishers automatically grant permission to authors to archive pre-prints. By uploading a copy of your work, you will enable us to better index it, making it easier to find.

    Upload a copy of this work     Papers currently archived: 104,856

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Reverse Mathematics in Bishop’s Constructive Mathematics.Hajime Ishihara - 2006 - Philosophia Scientiae:43-59.
An intuitionistic interpretation of Bishop’s philosophy.Bruno Bentzen - 2024 - Philosophia Mathematica 32 (3):307-331.
Reverse Mathematics in Bishop’s Constructive Mathematics.Hajime Ishihara - 2006 - Philosophia Scientiae:43-59.
Intentional mathematics.Stewart Shapiro (ed.) - 1985 - New YorK, N.Y., U.S.A.: Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co..
Discussion. Applied constructive mathematics: on Hellman's 'mathematical constructivism in spacetime'.H. Billinge - 2000 - British Journal for the Philosophy of Science 51 (2):299-318.
Mechanistic Explanation and Explanatory Proofs in Mathematics.Joachim Frans & Erik Weber - 2014 - Philosophia Mathematica 22 (2):231-248.
On Constructive Groups.V. A. Lifshits - 1969 - In A. O. Slisenko, Studies in constructive mathematics and mathematical logic. New York,: Consultants Bureau. pp. 32--35.
Did Bishop have a philosophy of mathematics?Helen Billinge - 2003 - Philosophia Mathematica 11 (2):176-194.
Questioning Constructive Reverse Mathematics.I. Loeb - 2012 - Constructivist Foundations 7 (2):131-140.
Changes of language in the development of mathematics.Ladislav Kvasz - 2000 - Philosophia Mathematica 8 (1):47-83.

Analytics

Added to PP
2009-01-28

Downloads
228 (#119,325)

6 months
29 (#123,237)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Citations of this work

Mathematical Pluralism.Edward N. Zalta - 2024 - Noûs 58 (2):306-332.
Mathematical pluralism.G. Priest - 2013 - Logic Journal of the IGPL 21 (1):4-13.
Mathematical Pluralism and Platonism.Mark Balaguer - 2017 - Journal of the Indian Council of Philosophical Research 34 (2):379-398.

View all 6 citations / Add more citations

References found in this work

No references found.

Add more references