Category:Model theory

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In mathematics, model theory is the study of the representation of mathematical concepts in terms of set theory, or the study of the models which underlie mathematical systems. It assumes that there are some pre-existing mathematical objects out there, and asks questions regarding how or what can be proven given the objects, some operations or relations amongst the objects, and a set of axioms.

Subcategories

There is one subcategory to this category shown below (more may be shown on subsequent pages).

I

• Inner model theory

Pages in category "Model theory"

There are 76 pages in this section of this category.

A Assignment (mathematical logic) Axiom of choice Axiomatizable class Ax–Kochen theorem B Boolean-valued model C Cherlin-Zilber conjecture Cointerpretability Compactness theorem Consequence operator Continuum hypothesis Cotolerant sequence D Descriptive complexity Difference quotient E Ehrenfeucht–Fraïssé game Elementarily equivalent Elementary class Elementary embedding Elementary substructure Extension (model theory) F Finite model theory First-order logic Functional predicate G General frame Generalization (logic) Gödel's completeness theorem

G cont. Gödel's incompleteness theorems H Herbrand interpretation Herbrand universe Hyperreal number I Inner model Institution (computer science) Institutional model theory Interpretability K Kripke semantics L List of first-order theories Löwenheim–Skolem theorem M Maximal consistent set Minimality Model checking Model theory Morley rank Morley's categoricity theorem N Non-standard analysis Non-standard calculus Nonstandard consequence operator O O-minimality Original proof of Gödel's completeness theorem Overspill P Partial order reduction Potential isomorphism Pregeometry

P cont. Prenex normal form Prime model Q Quantifier elimination S Saturated model Signature (mathematical logic) Skolem hull Skolem normal form Soundness theorem Spectrum of a theory Stationary set Structure (mathematical logic) Submodel T Tame group Tarski monster group Tarski-Vaught test Thompson groups Tolerant sequence Transfer principle Type (model theory) U Ultrapower Ultraproduct Upward Löwenheim–Skolem theorem V Valuation (mathematics) W Weak interpretability Z Zariski geometry

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Categories: Mathematical logic | Theories

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• This page was last modified 16:07, 12 April 2006 by Wikipedia user Jpbowen. Based on work by Wikipedia user(s) Mhss en, Kbdank71, CarlHewitt, PTSE, Dysprosia and Lupin.
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