 ##  [Modus Ponens](/index.php/modus-ponens) 

  ##  [Modus Ponens](https://natural.quantumdictionary.io/modus-ponens-0) 

  

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



**Natural &amp; Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A fundamental rule of inference: from 'If P then Q' (P → Q) and 'P', infer 'Q'. It is the primary detachment rule used to apply conditionals to obtain consequents.

 

 

 

 

 





 

 



 ##  [Modus Ponens](https://mathlogic.quantumdictionary.io/modus-ponens-1) 

  

 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/index.php/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A fundamental valid rule of inference stating that from premises A → B and A one may deduce B; often described as 'if A then B; A; therefore B.'