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Timeline for Semantic definition of sentence

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Jun 30, 2011 at 17:14 comment added François G. Dorais When working with a finite relational signature, the fixed length $n$ EF games define equivalence classes of types which form the basic open sets. This idea extends to general signatures, but there is a fair amount of fiddling to do...
Jun 30, 2011 at 16:51 comment added Andreas Blass Could you add a word about how to define the topology on the space of types? The reason I ask is that, as far as I know, in some other contexts (certain abstract elementary classes), one can have notions of types for which it's non-trivial to produce an associated notion of formula. I suspect this is related to the lack of compactness in AEC's and therefore won't be a problem in first-order logic, but at the moment I don't see the details.
Jun 30, 2011 at 16:19 history edited Emil Jeřábek CC BY-SA 3.0
fix typo
Jun 30, 2011 at 16:03 history edited François G. Dorais CC BY-SA 3.0
typo
Jun 30, 2011 at 15:55 vote accept David Harris
Jun 30, 2011 at 15:41 history answered François G. Dorais CC BY-SA 3.0