PhilSci Archive

Michelangelo’s Stone: an Argument against Platonism in Mathematics

ROVELLI, Carlo (2015) Michelangelo’s Stone: an Argument against Platonism in Mathematics. [Preprint]

This is the latest version of this item.

[img] PDF
Platonism.pdf - Updated Version
Available under License Creative Commons Attribution No Derivatives.

Download (490kB)

Abstract

If there is a ‘platonic world’ M of mathematical facts, what does M contain precisely? I observe that if M is too large, it is uninteresting, because the value is in the selection, not in the totality; if it is smaller and interesting, it is not independent of us. Both alternatives challenge mathematical platonism. I suggest that the universality of our mathematics may be a prejudice hiding its contingency, and illustrate contingent aspects of classical geometry, arithmetic and linear algebra.


Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Preprint
Creators:
CreatorsEmailORCID
ROVELLI, Carlorovelli@cpt.univ-mrs.fr
Subjects: Specific Sciences > Mathematics > Ontology
Specific Sciences > Mathematics
Depositing User: Carlo ROVELLI
Date Deposited: 06 Sep 2015 14:49
Last Modified: 07 May 2017 16:37
Item ID: 11659
Subjects: Specific Sciences > Mathematics > Ontology
Specific Sciences > Mathematics
Date: 6 September 2015
URI: http://philsci-archive.pitt.edu/id/eprint/11659

Available Versions of this Item

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item