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A Critique of Yablo's If-thenism.

Authors :
Armour-Garb, Bradley
Kroon, Frederick
Source :
Philosophia Mathematica. Oct2023, Vol. 31 Issue 3, p360-371. 12p.
Publication Year :
2023

Abstract

Using ideas proposed in Aboutness and developed in 'If-thenism', Stephen Yablo has tried to improve on classical if-thenism in mathematics, a view initially put forward by Bertrand Russell in his Principles of Mathematics. Yablo's stated goal is to provide a reading of a sentence like 'The number of planets is eight' with a sort of content on which it fails to imply 'Numbers exist'. After presenting Yablo's framework, our paper raises a problem with his view that has gone virtually unnoticed in the literature. If we are right, then Yablo's version of if-thenism cannot succeed. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00318019
Volume :
31
Issue :
3
Database :
Academic Search Index
Journal :
Philosophia Mathematica
Publication Type :
Academic Journal
Accession number :
172993887
Full Text :
https://doi.org/10.1093/philmat/nkad009