##  [Zero-One Law](/zero-one-law) 

  ##  [Zero-One Law](https://mathlogic.quantumdictionary.io/zero-one-law-0) 

  

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**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A phenomenon in probabilistic logic and finite model theory: for a fixed logical language and a probability distribution on finite structures (commonly uniform on n-element structures or G(n,p) graphs), every sentence has a limiting probability as the size grows, and the Zero-One Law asserts that this limit is always either 0 or 1.