##  [Skolem Paradox](/skolem-paradox) 

  ##  [Skolem Paradox](https://mathlogic.quantumdictionary.io/skolem-paradox-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 & Formal Sciences -

**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The apparent tension that first-order logic permits countable models of theories that internally assert the existence of uncountable sets, arising from the Löwenheim–Skolem theorem and the relativity of 'countable' when viewed inside versus outside a model.