Finitary sketches

Journal of Symbolic Logic 62 (3):699-707 (1997)
Finitary sketches, i.e., sketches with finite-limit and finite-colimit specifications, are proved to be as strong as geometric sketches, i.e., sketches with finite-limit and arbitrary colimit specifications. Categories sketchable by such sketches are fully characterized in the infinitary first-order logic: they are axiomatizable by σ-coherent theories, i.e., basic theories using finite conjunctions, countable disjunctions, and finite quantifications. The latter result is absolute; the equivalence of geometric and finitary sketches requires (in fact, is equivalent to) the non-existence of measurable cardinals
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2307/2275568
 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: 22,558
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
A. R. D. Mathias (2001). The Strength of Mac Lane Set Theory. Annals of Pure and Applied Logic 110 (1-3):107-234.

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

14 ( #277,322 of 1,938,440 )

Recent downloads (6 months)

3 ( #208,303 of 1,938,440 )

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.