 ##  [Model](/index.php/model) 

  ##  [Model](https://mathlogic.quantumdictionary.io/model-0) 

  
 [![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

An interpretation (a domain together with assignments for the nonlogical symbols of a language) that makes a particular formula, set of formulas, or an entire theory true; commonly described as a structure that satisfies those sentences.

 
 ##  [Model](https://puremath.quantumdictionary.io/model-1) 

  
 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/index.php/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

A mathematical structure that assigns meanings to the symbols of a formal language (a signature)—a domain together with interpretations of constants, functions, and relations—such that sentences of the language can be evaluated as true or false in that structure.

 
 ##  [Model](https://algebra.quantumdictionary.io/model-2) 

  
 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/index.php/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 
Definition

A mathematical structure consisting of a domain together with interpretations of the symbols of a formal signature (constants, functions, relations) that makes each sentence of a given theory true in that structure.