David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
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Philosophia Mathematica 8 (2):124-149 (2000)
Syntactic Reductionism, as understood here, is the view that the ‘logical forms’ of sentences in which reference to abstract objects appears to be made are misleading so that, on analysis, we can see that no expressions which even purport to refer to abstract objects are present in such sentences. After exploring the motivation for such a view, and arguing that no previous argument against it succeeds, sentences involving generalized quantifiers, such as ‘most’, are examined. It is then argued, on this basis, that Syntactic Reductionism is untenable.
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Øystein Linnebo (2012). Metaontological Minimalism. Philosophy Compass 7 (2):139-151.
G. A. Antonelli (2010). Notions of Invariance for Abstraction Principles. Philosophia Mathematica 18 (3):276-292.
ØYstein Linnebo (2012). III-Reference by Abstraction. Proceedings of the Aristotelian Society 112 (1pt1):45-71.
Stephen Yablo (2008). Carving Content at the Joints. Canadian Journal of Philosophy 38 (S1):145-177.
Katherine Hawley (2007). Neo‐Fregeanism and Quantifier Variance. Aristotelian Society Supplementary Volume 81 (1):233 - 249.
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