I don't know about proof but if we apply deductive reasoning to the premise you posit it doesn't hold up. Induction gives us better answers (or rather answers that accord better with what we perceive to be the case). After all deductive reasining can answer questions science can't answer (is there a god, what noise does a tree falling in a forest make, etc.) but we would rather engineering was empirically based. Deduction is need to pose the questions but we answer many of those through inquiry and test rather than through reasoning.
Interestingly most academic sociology has given up on the scientific approach in favour of conversation followed by 'reasoning' - it makes me want to scream!