'insolvability' originates from Latin, specifically the word 'insolubilis,' where 'in-' meant 'not' and 'solvere' meant 'to loosen or solve.'

'insolubilis' transformed into the French word 'insoluble,' and eventually became the modern English word 'insolvability' through Middle English.

Initially, it meant 'not able to be solved,' and this meaning has largely remained the same in modern usage.