##  [Finite Axiomatizability](/finite-axiomatizability) 

  ##  [Finite Axiomatizability](https://mathlogic.quantumdictionary.io/finite-axiomatizability-0) 

  

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- Natural & Formal Sciences -

**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A property of a class of structures or a theory: it is finitely axiomatizable if there exists a finite set of axioms in the chosen language whose models are exactly the structures in the class (or whose deductive closure equals the theory).