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arxiv: 1006.3916 · v1 · submitted 2010-06-20 · 🧮 math.LO

Model Theory of the Inaccessibility Scheme

classification 🧮 math.LO
keywords inaccessibilitymodelorderschemetheoryfirstlanguagecardinal
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Suppose L = {<, . . .} is any countable first order language in which < is interpreted as a linear order. Let T be any complete first order theory in the language L such that T has a kappa-like model where kappa is an inaccessible cardinal. Such T satisfies the Inaccessibility Scheme. In this paper we study model theory of the inaccessibility scheme at the level of the existence of elementary end extensions for various models of it.

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