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Category:Model theory

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From Wikipedia, the free encyclopedia
The main article for thiscategory isModel theory.
Wikimedia Commons has media related toModel theory.
Thiscategory is often contrasted withProof theory.

Model theory is the study of the relationship betweenformal theories (a collection ofsentences in aformal language expressing statements about amathematical structure), and their models (those structures in which the statements of the theory hold). The aspects investigated include the number and size of models of a theory, the relationship of different models to each other, and their interaction with the formal language itself. In particular, model theorists also investigate the sets that can be defined in a model of a theory, and the relationship of such definable sets to each other.

Subcategories

This category has the following 3 subcategories, out of 3 total.

Pages in category "Model theory"

The following 117 pages are in this category, out of 117 total.This list may not reflect recent changes.

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