 ##  [Nonaxiomatizability](/nonaxiomatizability) 

  ##  [Nonaxiomatizability](https://mathlogic.quantumdictionary.io/nonaxiomatizability-0) 

  

 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The property of a class of structures or a semantic property that it cannot be captured by any single effective (e.g., recursively enumerable) or finite set of axioms in a given formal language; no axiom system in that language characterizes exactly the intended class.