 ##  [Functorial Semantics](/functorial-semantics) 

  ##  [Functorial Semantics](https://mathlogic.quantumdictionary.io/functorial-semantics-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 &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

An approach that interprets a syntactic category (presenting a theory or language) as an object-class in a semantic category by means of functors that preserve the syntactic structure required by the theory; models are the functors that realize syntactic operations as semantic structure-preserving maps.