A Critique of Yablo’s If-thenism

Philosophia Mathematica 31 (3):360-371 (2023)
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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.

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Author Profiles

Bradley Armour-Garb
State University of New York, Albany
Frederick Kroon
University of Auckland

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References found in this work

Naming and Necessity.Saul Kripke - 1980 - Philosophy 56 (217):431-433.
Naming and Necessity.Saul Kripke - 1980 - Critica 17 (49):69-71.
Outline of a theory of truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
The Principles of Mathematics.Bertrand Russell - 1903 - Revue de Métaphysique et de Morale 11 (4):11-12.
Introduction to *Aboutness*.Stephen Yablo - 2014 - In Aboutness. Oxford: Princeton University Press. pp. 1-6.

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