##  [Higher-Order Logic](/higher-order-logic) 

  ##  [Higher-Order Logic](https://mathlogic.quantumdictionary.io/higher-order-logic-0) 

  

 [![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 & Formal Sciences -

**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A class of logical systems that extends quantification to predicates, functions, and entities of higher type (functions of functions, predicates of predicates, etc.), permitting reasoning about higher-type objects and enabling direct formalization of mathematical and semantic concepts not easily expressed in lower-order logics.