##  [Atomic Model](/atomic-model) 

  ##  [Atomic Model](https://mathlogic.quantumdictionary.io/atomic-model-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

A model in which every finite tuple realizes an atomic (principal) type over the empty set; equivalently, every finite tuple has a complete formula isolating its type, so types over ∅ are determined by single formulas.

 

 

 

 

 





 

 



 ##  [Atomic Model](https://algebra.quantumdictionary.io/atomic-model-1) 

  

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

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A countable model (more generally, a model in a given size) is atomic if every finite tuple in the model realizes a type that is isolated by a single formula; equivalently the complete types realized in the model are isolated points in the relevant type spaces.