Math 2.0

Mathematical logic and foundations Model theory: basic notions Concept

Definable set

Summary

A definable set in a structure is a set of tuples of elements that is cut out by a first-order formula, possibly with parameters. Definable sets are the main objects of study in modern model theory. Their behaviour, such as in o-minimal or stable structures, describes how complicated a structure is.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Definable_set
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Changed2 November 2026

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