Philosophical Studies:1-13 (forthcoming)

Authors
Tristan Grøtvedt Haze
University of Sydney
Abstract
The notion of rigidity looms large in philosophy of language, but is beset by difficulties. This paper proposes a simple theory of rigidity, according to which an expression has a world-relative semantic property rigidly when it has that property at, or with respect to, all worlds. Just as names, and certain descriptions like 'The square root of 4', rigidly designate their referents, so too are necessary truths rigidly true, and so too does 'cat' rigidly have only animals in its extension. After spelling out the theory, I argue that it enables us to avoid the headaches that attend the misbegotten desire to have a simple rigid/non-rigid distinction that applies to expressions, giving us a simple solution to the problem of generalizing the notion of rigidity beyond singular terms.
Keywords rigidity  rigid designators  predicated  general terms  natural kinds
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DOI 10.1007/s11098-021-01643-y
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References found in this work BETA

Naming and Necessity.Saul Kripke - 1980 - In Darragh Byrne & Max Kölbel (eds.), Philosophy. Routledge. pp. 431-433.
Naming and Necessity.Saul Kripke - 1981 - Philosophy 56 (217):431-433.
Actualism and Thisness.Robert Merrihew Adams - 1981 - Synthese 49 (1):3-41.

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