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May 6, 2013 at 19:13 comment added John Baez I believe Torsten meant it doesn't have a model in the category of sets. I believe any consistent theory in geometric logic has a model in some topos. For example, we can take the theory, build its 'syntactic site', and find a model in the topos of sheaves on its syntactic site. For details see section 4.1 of the exposition by Benjamin Frot mentioned below.
May 6, 2013 at 12:44 comment added kakaz "consistent geometric theory (with countable disjunctions) that doesn't have a model" - what is the meaning of that? Is it theory on the empty Domain of Discourse?
Jun 21, 2011 at 13:45 vote accept Akhil Mathew
Jun 21, 2011 at 10:34 history edited Torsten Ekedahl CC BY-SA 3.0
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Jun 21, 2011 at 5:46 history answered Torsten Ekedahl CC BY-SA 3.0