Inexpressible properties and grelling's antinomy

Philosophical Studies 148 (3):369 - 385 (2010)
Abstract
The paper discusses whether there are strictly inexpressible properties. Three main points are argued for: (i) Two different senses of ‘predicate t expresses property p ’ should be distinguished. (ii) The property of being a predicate that does not apply to itself is inexpressible in one of the senses of ‘express’, but not in the other. (iii) Since the said property is related to Grelling’s Antinomy, it is further argued that the antinomy does not imply the non-existence of that property.
Keywords Properties  Inexpressibility  Grelling’s paradox  Russell’s paradox
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References found in this work BETA
Richard Cartwright (1966). Substitutivity. Journal of Philosophy 63 (21):684-685.
Irving M. Copi (1950). The Inconsistency or Redundancy of Principia Mathematica. Philosophy and Phenomenological Research 11 (2):190-199.
Kit Fine (1994). Essence and Modality. Philosophical Perspectives 8:1-16.

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