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Results tagged with model-theory
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user 3545
Model theory is the branch of mathematical logic which deals with the connection between a formal language and its interpretations, or models.
2
votes
0
answers
223
views
Is this fragment of arithmetic on $p^{-\infty} {\mathbb Z}$ decidable?
Let $p$ be a prime number. Consider the abelian group $p^{-\infty} {\mathbb Z} = \bigcup p^{-n} {\mathbb Z}$ consisting of rational numbers whose denominator is a power of $p$, under addition.
View …
- 13.3k
18
votes
Accepted
Are there as many real-closed fields of a given cardinality as I think there are?
Hi Pete!
There's been a lot of study of this and similar problems. I believe that Shelah's theorem, from his 1971 paper "The number of non-isomorphic models of an unstable first-order theory" (Israe …
- 13.3k
8
votes
1
answer
943
views
Where do nonstandard elliptic curve angles come from?
This is a question which has bounced around my head over the past few years. At the same time, I am answering Riemann hypothesis for zeta function of algebraic curves over fields of infinite characte …
- 13.3k