 ##  [Law of Excluded Middle](/law-excluded-middle) 

  ##  [Law of Excluded Middle](https://natural.quantumdictionary.io/law-excluded-middle-0) 

  

 [![Natural & Formal Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Natural%20%26%20Formal%20Sciences.png.webp?itok=2kCDRVQv)](/topic-specific-dictionaries/natural-formal-sciences)



**Natural &amp; Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A logical principle that for any proposition P asserts that either P is true or its negation ¬P is true, with no third option (formally: P ∨ ¬P).

 

 

 

 

 





 

 



 ##  [Law of Excluded Middle](https://mathlogic.quantumdictionary.io/law-excluded-middle-1) 

  

 [![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 &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The principle that for any proposition P, the disjunction P ∨ ¬P is true; there is no third truth-value between a proposition and its negation in classical logic.