Inner model theory

Inner model theory

In set theory, inner model theory is the study of certain models of ZFC or some fragment or strengthening thereof. Ordinarily these models are transitive subsets or subclasses of the von Neumann universe V, or sometimes of a generic extension of V. Inner model theory studies the relationships of these models to determinacy, large cardinals, and descriptive set theory. Despite the name, it is considered more a branch of set theory than of model theory. (Wikipedia).

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Here we give the basic setup for Model Theory. I learned this from a talk Tom Scanlon gave in 2010 at CUNY.

From playlist Model Theory

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A basic introduction to the shell model to explain magic numbers in nuclei.

From playlist Nuclear Physics

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From playlist Mathematics

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From playlist Science Projects to make at Home

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From playlist Physics - The Atom

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From playlist Physics - The Atom

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From playlist Toposes online

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Related pages

Descriptive set theory | Determinacy | L(R) | Diamond principle | Axiom of constructibility | Large cardinal | Zero dagger | Set theory | Class (set theory) | Model theory | Subclass (set theory) | Constructible universe | Von Neumann universe | Core model | Inner model | Subset | Transitive set