 ##  [Omega-Categoricity](/omega-categoricity) 

  ##  [Omega-Categoricity](https://mathlogic.quantumdictionary.io/omega-categoricity-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

A property of a first-order theory (in a countable language) that it has exactly one model of countable cardinality up to isomorphism.