Similarity relations and the preservation of solidity

The partitions of a given set stand in a well known one-to-onecorrespondence with the equivalence relations on that set. We askwhether anything analogous to partitions can be found which correspondin a like manner to the similarity relations (reflexive, symmetricrelations) on a set, and show that (what we call) decompositions – of acertain kind – play this role. A key ingredient in the discussion is akind of closure relation (analogous to the consequence relationsconsidered in formal logic) having nothing especially to do with thesimilarity issue, and we devote a final section to highlighting some ofits properties.
Keywords closure operators  partitions  proximity relations  similarity  truth functions
Categories (categorize this paper)
DOI 10.1023/A:1026132413897
 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: 16,667
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

No references found.

Add more references

Citations of this work BETA
Thomas Mormann (2009). New Work for Carnap's Quasi-Analysis. Journal of Philosophical Logic 38 (3):249-282.
Hannes Leitgeb (2007). A New Analysis of Quasianalysis. Journal of Philosophical Logic 36 (2):181 - 226.
A. J. Cotnoir (2013). Parts as Counterparts. Thought: A Journal of Philosophy 2 (3):228-241.

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

46 ( #74,008 of 1,726,249 )

Recent downloads (6 months)

9 ( #74,830 of 1,726,249 )

How can I increase my downloads?

My notes
Sign in to use this feature

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