'unsolvability' originates from the prefix 'un-' meaning 'not' and the word 'solvable', which comes from the Latin word 'solvere', meaning 'to loosen or solve'.

'solvere' transformed into the Old French word 'solver', and eventually became the modern English word 'solve'. The prefix 'un-' was added to form 'unsolvable', and the suffix '-ity' was added to form 'unsolvability'.

Initially, 'solvere' meant 'to loosen or solve', and over time, 'unsolvability' evolved to mean the state of being impossible to solve.