Mario Gomez-Torrente

I postulate that the extension of a degree adjective is fixed by implicitly accepted non-analytic reference-fixing principles (“preconceptions”) that combine appeals to paradigmatic cases with generic principles designed to expand the extension of the adjective beyond the paradigmatic range. In regular occasions of use, the paradigm and generic preconceptions are jointly satisfied and determine the existence of an extension/anti-extension pair dividing the adjective’s comparison class into two mutually exclusive and jointly exhaustive subclasses. Sorites paradoxical occasions of use are irregular occasions of use in which the paradigm and generic preconceptions are not jointly satisfied. In them, the relevant degree adjective lacks an extension, and utterances of sentences containing it appearing in sorites arguments do not have truth conditions. I also postulate a probable psychology of paradigm intuitions, used in a psychological explanation of the preference for solutions of the sorites paradox on which paradigm preconceptions retain their intuitive truth-values.

I identify one neglected source of support for a Kripkean reading of Wittgenstein’s Philosophical Investigations: the analogy between rules and epistemic grounds and the existence of a Kripkean anti-privacy argument about epistemic grounds in On Certainty. This latter argument supports Kripke’s claims that the basic anti-privacy argument in the Investigations (a) poses a question about the distinguishability of certain first-person attributions with identical assertability conditions, (b) concludes that distinguishability is provided by third-person evaluability, and (c) is a general argument, not one about a specific kind of alleged rules.