Sorites without vagueness II: Comparative sorites

Theoria 76 (1):25-53 (2010)
  Copy   BIBTEX

Abstract

We develop a mathematical theory for comparative sorites, considered in terms of a system mapping pairs of stimuli into a binary response characteristic whose values supervene on stimulus pairs and are interpretable as the complementary relations 'are the same' and 'are not the same' (overall or in some respect). Comparative sorites is about hypothetical sequences of stimuli in which every two successive elements are mapped into the relation 'are the same', while the pair comprised of the first and the last elements of the sequence is mapped into 'are not the same'. Although soritical sequences of this kind are logically possible, we argue that their existence is grounded in no empirical evidence and show that it is excluded by a certain psychophysical principle proposed for human comparative judgements in a context unrelated to soritical issues. We generalize this principle to encompass all conceivable situations for which comparative sorites can be formulated.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 74,649

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Vagueness Without Context Change.Rosanna Keefe - 2007 - Mind 116 (462):275-292.
Chrysippus and the Epistemic Theory of Vagueness.Susanne Bobzien - 2002 - Proceedings of the Aristotelian Society 102 (1):217-238.
Strict Finitism and the Happy Sorites.Ofra Magidor - 2012 - Journal of Philosophical Logic 41 (2):471-491.
Leibniz and the Sorites.Samuel Levey - 2002 - The Leibniz Review 12:25-49.
Remarks on the Current Status of the Sorites Paradox.Richard Dewitt - 1992 - Journal of Philosophical Research 17 (1):93.

Analytics

Added to PP
2010-01-12

Downloads
143 (#86,816)

6 months
1 (#419,510)

Historical graph of downloads
How can I increase my downloads?

References found in this work

Reasons and Persons.Derek Parfit - 1984 - Oxford University Press.
The Structure of Appearance.Nelson Goodman - 1951 - Cambridge, MA, USA: Harvard University Press.
Wang's Paradox.Michael Dummett - 1975 - Synthese 30 (3-4):201--32.
On the Coherence of Vague Predicates.Crispin Wright - 1975 - Synthese 30 (3-4):325--65.

View all 12 references / Add more references