Sorites without vagueness II: Comparative sorites

Theoria 76 (1):25-53 (2010)
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.
Keywords comparison  regular minimality  regular mediality  connectedness  sorites  vagueness  closeness  matching  supervenience on stimuli  tolerant responses
Categories (categorize this paper)
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 11,819
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA
Michael Dummett (1975). Wang's Paradox. Synthese 30 (3-4):201--32.

View all 12 references

Citations of this work BETA
Similar books and articles
Analytics

Monthly downloads

Added to index

2010-01-12

Total downloads

10 ( #152,266 of 1,099,961 )

Recent downloads (6 months)

5 ( #66,994 of 1,099,961 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Start a new thread
Order:
There  are no threads in this forum
Nothing in this forum yet.