 ##  [Syntactic Completeness](/syntactic-completeness) 

  ##  [Syntactic Completeness](https://mathlogic.quantumdictionary.io/syntactic-completeness-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

A property of a deductive system or theory asserting that for every sentence φ in the language either φ is provable from the system (or theory) or its negation ¬φ is provable; equivalently, the theory is maximally consistent with respect to sentences of the language.