Incontrovertible evidence or facts are absolutely certain and cannot be shown to be wrong. We have incontrovertible evidence of what took place. = indisputable + incontrovertibly in·con·tro·vert·ibly No solution is incontrovertibly right. definitely true and impossible to be proved false = indisputable (controvertible (17-21 centuries), from controvert (17-21 centuries), from controversy)