##  [Axiomatization](/index.php/axiomatization) 

  ##  [Axiomatization](https://algebra.quantumdictionary.io/axiomatization-0) 

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/index.php/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A finite or infinite set of axioms presented as foundational sentences from which the consequences of a theory are derived; an axiomatization generates a theory by closure under logical consequence.