The ultraproduct is a mathematical construction that appears mainly in abstract algebra and mathematical logic, in particular in model theory and set theory...

numbers. The ultraproduct models are uncountable. One way to see this is to construct an injection of the infinite product of N into the ultraproduct. However...

hypothesis holds. Ultraproducts are used as a general technique for constructing models that realise certain types. An ultraproduct is obtained from the...

Kripke's T-schema Transfer principle Truth predicate Truth value Type Ultraproduct Validity Computability theory Church encoding Church–Turing thesis Computably...

constructions. For example, an ultraproduct modulo a principal ultrafilter is always isomorphic to one of the factors, while an ultraproduct modulo a free ultrafilter...

\varphi } holds in the ultraproduct ∏ i ⊆ Σ M i / U . {\textstyle \prod _{i\subseteq \Sigma }{\mathcal {M}}_{i}/U.} So this ultraproduct satisfies all formulas...

Kripke's T-schema Transfer principle Truth predicate Truth value Type Ultraproduct Validity Computability theory Church encoding Church–Turing thesis Computably...

Kripke's T-schema Transfer principle Truth predicate Truth value Type Ultraproduct Validity Computability theory Church encoding Church–Turing thesis Computably...

to two fields, one given by an ultraproduct over all primes of the fields Fp((t)) and the other given by an ultraproduct over all primes of the p-adic...

reduced product is a construction that generalizes both direct product and ultraproduct. Let {Si | i ∈ I} be a nonempty family of structures of the same signature...