Two Criticisms against Mathematical Realism

Diametros 52:96-106 (2017)
Download Edit this record How to cite View on PhilPapers
Abstract
Mathematical realism asserts that mathematical objects exist in the abstract world, and that a mathematical sentence is true or false, depending on whether the abstract world is as the mathematical sentence says it is. I raise two objections against mathematical realism. First, the abstract world is queer in that it allows for contradictory states of affairs. Second, mathematical realism does not have a theoretical resource to explain why a sentence about a tricle is true or false. A tricle is an object that changes its shape from a triangle to a circle, and then back to a triangle with every second.
PhilPapers/Archive ID
PARTCA-14
Revision history
First archival date: 2017-07-04
Latest version: 1 (2017-07-07)
View upload history
References found in this work BETA

No references found.

Add more references

Citations of this work BETA
Can Mathematical Objects Be Causally Efficacious?Seungbae Park - 2018 - Inquiry: An Interdisciplinary Journal of Philosophy:00-00.

Add more citations

Added to PP index
2017-06-30

Total views
172 ( #15,787 of 38,881 )

Recent downloads (6 months)
59 ( #6,919 of 38,881 )

How can I increase my downloads?

Monthly downloads since first upload
This graph includes both downloads from PhilArchive and clicks to external links.