 ##  [Russell's Paradox](/index.php/russells-paradox) 

  ##  [Russell's Paradox](https://mathlogic.quantumdictionary.io/russells-paradox-0) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A set-theoretic paradox showing that unrestricted comprehension (forming the set of all elements satisfying an arbitrary property) leads to contradiction, classically exhibited by the set R = {x | x ∉ x}.