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Inner model theory information


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.

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Inner model theory

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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...

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Inner model

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In set theory, a branch of mathematical logic, an inner model for a theory T is a substructure of a model M of a set theory that is both a model for T...

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Set theory

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axiom of choice. Even if a fixed model of set theory satisfies the axiom of choice, it is possible for an inner model to fail to satisfy the axiom of choice...

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Core model

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In set theory, the core model is a definable inner model of the universe of all sets. Even though set theorists refer to "the core model", it is not a...

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Concentric zone model

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The concentric zone model, also known as the Burgess model or the CCD model, is one of the earliest theoretical models to explain urban social structures...

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List of set theory topics

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Hereditary set Internal set theory Intersection (set theory) Inner model theory Core model Covering lemma Inner model Mouse (set theory) L L(R) Large cardinal...

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Bohr model

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empirical results. The Bohr model is a relatively primitive model of the hydrogen atom, compared to the valence shell model. As a theory, it can be derived as...

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List of unsolved problems in mathematics

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discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential...

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Axiom of constructibility

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are explored in inner model theory. The axiom of constructibility implies the axiom of choice (AC), given Zermelo–Fraenkel set theory without the axiom...

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Covering lemma

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certain large cardinals leads to the existence of a canonical inner model, called the core model, that is, in a sense, maximal and approximates the structure...

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Black box

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testing the black box model. Data has to be written down before it is pulled for black box inputs. Black box theories are those theories defined only in terms...

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Public administration theory

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Theory The Postmodern Public Administration Theory alludes to the inner workings of every government entity, as it’s linked to the capitalist model of...

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Bid rent theory

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rings of land use, creating the concentric zone model. It could be assumed that, according to this theory, the poorest houses and buildings would be on...

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Integral theory

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Integral theory as developed by Ken Wilber is a synthetic metatheory aiming to unify a broad spectrum of Western theories and models and Eastern meditative...

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Plum pudding model

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atom was discussed, and by the end of the century the leading model: 175  was vortex theory of the atom, proposed by William Thomson (later Lord Kelvin)...

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Internal Family Systems Model

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begin constructive inner dialogues with their parts. Deacon, Sharon A.; Davis, Jonathan C. (March 2001). "Internal Family Systems Theory: A Technical Integration"...

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Supercompact cardinal

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{\displaystyle \nu } . Finding a canonical inner model for supercompact cardinals is one of the major problems of inner model theory. The least supercompact cardinal...

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Strongly compact cardinal

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supercompact cardinal. However, a proof is unlikely until a canonical inner model theory for supercompact cardinals is developed. Jech obtained a variant of...

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Ecological systems theory

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developing it in The Bioecological Model of Human Development and later writings. A primary contribution of ecological systems theory was to systemically examine...

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Thought insertion

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comparator-model, also known as the forward model, is an elaboration of theory of misattributed inner speech. This theory relies on a model involved in inner speech...

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Inner city

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especially since the 1990s. Cities portal Bid rent theory Black flight and white flight Concentric zone model Ghetto Industrial deconcentration Skid row Slum...

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Mathematical formulation of the Standard Model

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article describes the mathematics of the Standard Model of particle physics, a gauge quantum field theory containing the internal symmetries of the unitary...

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