unprovability.

The lack of a possible proof under the premises or rules of the relevant system.

Use it for

Words that belong together

• formal unprovability
• unprovability of a proposition

On the page

Formal unprovability was established relative to the stated system.

The report did not infer unprovability merely because no proof had been found.

Usage notes

Primary category: academic / formal. Forms: Usually uncountable. Legacy lexical fields mirror sense 1 only. Use numbered sense fields for all meanings. Established modern English lexical item. No separate regional spelling or grammatical inflection entry. Writing functions: explicit explanation, scope and categorization, proof and interpretation, philosophical foundations. Disciplines: academic writing, formal reasoning, philosophy. Commonness: uncommon.