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1 Rigid Designation and Semantic Structure

2007

Abstract

Forthcoming in " Philosophers' Imprint " Comments to: [email protected] 1. the issue 'Rigid designation' is Kripke's name for a concept that has been in the air at least since the development of quantified modal logics: (a token of 1) a designator is rigid if and only if it designates the same individual in every possible world in which the individual exists. Two seminal conclusions for which Kripke (1971, 1972) argues are that proper names are rigid designators, and that there are some deep semantic affinities between proper names and various sorts of general terms. However, even though he does, at places, explicitly attribute rigidity to certain general terms, 2 Kripke nowhere gives a definition of rigidity that applies to general terms. This presents a challenge: Precisely which general terms ought to be classified as rigid designators? More fundamentally: What should we take the criterion for rigidity to be, for general terms? There exists a considerable s...

Key takeaways

  • According to Russell (1905), while reference is a conventional or stipulative relation between a designator and what it is used to designate (examples might include 'I','this','nine','Cicero','gold' 14 ), denoting is a distinct sort of connection that holds between certain semantically structured designators (such as 'the person who denounced Catiline' or 'the author of De Fato') and that, if anything, which satisfies the compositionally determined condition expressed.
  • That is, while designators without any independently meaningful proper parts (such as 'nine' or 'this') can only be semantically unstructured, 29 in contrast, tokens of a complex designator could be used in either semantically structured or unstructured ways.
  • To this I add that, with respect to the origin and intent of the distinction between rigid vs. nonrigid designators, semantically unstructured general terms are relevantly similar to referring expressions, and relevantly different from denoting expressions.
  • note 24.) Another motivation for some of these desiderata for a general definition of rigidity is an intuition along the following lines: The thesis that proper names are rigid designators was at the forefront of a revolution in the philosophy of language; and so something similarly monumental is likely to come from rigidity in the case of kind terms.
  • I have argued that a general term is rigid iff it designates the same kind in all possible worlds, and hence that all semantically unstructured general terms are rigid designators.