Syntactic reductionism

Philosophia Mathematica 8 (2):124-149 (2000)

Authors
Richard Kimberly Heck
Brown University
Abstract
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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DOI 10.1093/philmat/8.2.124
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References found in this work BETA

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Citations of this work BETA

Abstractionism and Mathematical Singular Reference.Bahram Assadian - forthcoming - Philosophia Mathematica:nkz003.
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Metaontological Minimalism.Øystein Linnebo - 2012 - Philosophy Compass 7 (2):139-151.
III-Reference by Abstraction.ØYstein Linnebo - 2012 - Proceedings of the Aristotelian Society 112 (1pt1):45-71.
N Eo-F Regeanism and Q Uantifier V Ariance.Katherine Hawley - 2007 - Aristotelian Society Supplementary Volume 81 (1):233-249.

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