'non-provability' originates from English, specifically formed from the prefix 'non-' and the noun 'provability', where 'non-' meant 'not' and 'provability' meant 'the quality of being provable'.

'provability' changed from Middle English/Old French roots such as 'proven'/'prover', ultimately from Latin 'probare', and eventually became the modern English word 'provability'. The negative prefix 'non-' was adopted in English (from Latin 'non') and combined with 'provability' to produce the compound 'non-provability'.

Initially, the root 'prove' (from Latin 'probare') meant 'to test' or 'to try'; over time it shifted toward 'to establish truth' or 'to demonstrate'. Consequently, 'provability' came to mean 'the capability of being proved', and 'non-provability' developed to mean 'not being capable of being proved'.