##  [Duality Principle](/duality-principle) 

  ##  [Duality Principle](https://algebra.quantumdictionary.io/duality-principle-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A methodological rule stating that many algebraic, order-theoretic, or logical statements have corresponding dual statements obtained by systematically interchanging paired operations and relations (for example, swapping join and meet, or ≤ and ≥) and reversing order when appropriate.