##  [Simplicity](/simplicity) 

  ##  [Simplicity](https://mathlogic.quantumdictionary.io/simplicity-0) 

  

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**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A dividing-line property in model theory: a complete first-order theory is simple if it admits a well-behaved notion of independence (forking) that generalizes the stable case. Equivalently, simple theories exclude the tree property (TP) that produces pathological forking patterns.