 ##  [Unprovability](/unprovability) 

  ##  [Unprovability](https://mathlogic.quantumdictionary.io/unprovability-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

The status of a formal sentence relative to a given axiom system when neither the sentence nor its negation can be derived from that system; commonly described as independence from the axioms or unprovability within the chosen theory.