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Results tagged with model-theory
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user 178292
Model theory is the branch of mathematical logic which deals with the connection between a formal language and its interpretations, or models.
6
votes
Non-definability of graph 3-colorability in first-order logic
It’s worth noting that Joel’s great answer says that $n$-colorability is not definable by a single sentence of first-order logic. However, it is definable by a first-order theory.. That is, for each …
- 137
3
votes
Compatibility of Łośian phenomena in second-order logic
I'm not sure I have a definitive answer, but three nice observations that are too long for comments:
If you relax from ultrafilters to extenders (seen as directed systems of ultrafilters), then there …
- 508
3
votes
Accepted
Vopěnka's Principle for non-first-order logics
This is a really late answer, but the answer to your question is "No." As a dual to the Theorem 6 that Thomas Benjamin mentions above (which I believe is a result of Stavi), Janos Makowsky proved tha …
- 39.7k
4
votes
Candidate "AEC-yielding" fragments of bad logics
It's been so long since I've seen a good AEC question on here! In fact, so long I forgot the account info that gives me enough reputation to post this as a comment.
I think this will get you rather c …
- 508