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Model theory is the branch of mathematical logic which deals with the connection between a formal language and its interpretations, or models.

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Is this theory the complete theory of the real ordered field?

EDIT 2: This wrong proof at least shows that the upper bound property holds in $K(\pi)$, when $\phi$ is $\Sigma_1$. Indeed, if $\phi$ is $\Sigma_1$ then we have the inclusion of solution sets $$ \phi( …
Spencer Dembner's user avatar