# Mathematical theory

A **mathematical theory** is a mathematical model that is based on axioms. A theory can be a body of knowledge, and so in this sense a "mathematical theory" refers to an area of mathematical research.^{[1]}^{[2]} This is related to, but distinct from, the idea of mathematical models. Branches of mathematics like group theory and number theory are examples of this.

## See alsoEdit

- List of mathematical theories
- Unifying theories in mathematics
- Theorem, a statement with a mathematical proof

## ReferencesEdit

**^**Nelson, Sam. "Theorems and Theories".*www.esotericka.org*. Archived from the original on 2014-08-19.**^**Chu-Carroll, Mark C. (March 13, 2007). "Theorems, Lemmas, and Corollaries".*Good Math, Bad Math blog*.

## External linksEdit

- Langlands, Robert P. (January 2010). "Is there beauty in mathematical theories?" (PDF).
- Boero, Paolo. "Approaching Mathematical Theories in Junior High School". Dipartimento di Matematica, Università di Genova.
- Corry, Leo. "Reflexive Thinking in Mathematics: Formal and Non-formal Aspects" (PDF). Tel Aviv.
- Citizendium editors. "Theory (mathematics)".CS1 maint: Uses authors parameter (link)

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