Nominalism, Trivialist Platonism and Benacerraf's dilemma

Analysis 74 (2):224-231 (2014)
  Copy   BIBTEX

Abstract

In his stimulating new book The Construction of Logical Space , Agustín Rayo offers a new account of mathematics, which he calls ‘Trivialist Platonism’. In this article, we take issue with Rayo’s case for Trivialist Platonism and his claim that the view overcomes Benacerraf’s dilemma. Our conclusion is that Rayo has not shown that Trivialist Platonism has any advantage over nominalism

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,386

External links

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

Through your library

Similar books and articles

Mathematical truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.
A platonist epistemology.Mark Balaguer - 1995 - Synthese 103 (3):303 - 325.
From full blooded platonism to really full blooded platonism.Jc Beall - 1999 - Philosophia Mathematica 7 (3):322-325.
Platonism and anti-Platonism in mathematics.Mark Balaguer - 1998 - New York: Oxford University Press.
Just what is full-blooded platonism?Greg Restall - 2003 - Philosophia Mathematica 11 (1):82--91.
On nominalism.Geoffrey Hellman - 2001 - Philosophy and Phenomenological Research 62 (3):691-705.
Wittgenstein's Anti-Platonism.Sílvio Pinto - 1998 - Grazer Philosophische Studien 56 (1):109-132.
Ontological commitment.Agustín Rayo - 2007 - Philosophy Compass 2 (3):428–444.
Non-uniqueness as a non-problem.Mark Balaguer - 1998 - Philosophia Mathematica 6 (1):63-84.

Analytics

Added to PP
2014-04-01

Downloads
143 (#127,120)

6 months
7 (#411,886)

Historical graph of downloads
How can I increase my downloads?

Author Profiles

David Liggins
University of Manchester
Chris Daly
University of Manchester

Citations of this work

No citations found.

Add more citations

References found in this work

Science Without Numbers: A Defence of Nominalism.Hartry H. Field - 1980 - Princeton, NJ, USA: Princeton University Press.
Realism, Mathematics & Modality.Hartry H. Field - 1989 - New York, NY, USA: Blackwell.
Mathematical truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.
The Construction of Logical Space.Agustín Rayo - 2013 - Oxford, England: Oxford University Press.
Realism, Mathematics, and Modality.Hartry Field - 1988 - Philosophical Topics 16 (1):57-107.

View all 13 references / Add more references