theorem

Also known as mathematical theorem, mathematical sentence

thumb|The Pythagorean theorem has at least 370 known proofs.

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A theorem is a mathematical statement that has been proven to be true based on logical reasoning and previously established facts. The Pythagorean theorem, which describes the relationship between the sides of a right triangle, is a famous example that mathematicians have verified through hundreds of different proofs, showing how important and useful such proven statements are.

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Commons category: Theorems

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~24 min read

Article

18 sections

Contents

Theoremhood and truth
Epistemological considerations
Informal account of theorems
Relation with scientific theories
Terminology
Layout
Lore
Theorems in logic
Syntax and semantics
Interpretation of a formal theorem
Theorems and theories
See also
Citations
Notes
References
Works cited
Further reading
External links

thumb|The Pythagorean theorem has at least 370 known proofs.

In mathematics and formal logic, a theorem is a statement that has been proven, or can be proven. The proof of a theorem is a logical argument that uses the inference rules of a deductive system to establish that the theorem is a logical consequence of the axioms and previously proved theorems.