I would be inclined to replace “not thinking carefully” with “not thinking formally”. In real life everything tends to have exceptions and this is most people’s presumption, so they don’t feel a need to reserve language for the truly universal claims which are never meaningful.
Some people have practice in thinking about formal systems, where truly universal statements are meaningful, and where using different language to draw fine distinctions is important (“always” vs “with probability 1” vs “with high probability” vs “likely”).
Trying to push the second group’s norms on the first group might be tough even if perhaps it would be good.
I would be inclined to replace “not thinking carefully” with “not thinking formally”. In real life everything tends to have exceptions and this is most people’s presumption, so they don’t feel a need to reserve language for the truly universal claims which are never meaningful.
Some people have practice in thinking about formal systems, where truly universal statements are meaningful, and where using different language to draw fine distinctions is important (“always” vs “with probability 1” vs “with high probability” vs “likely”).
Trying to push the second group’s norms on the first group might be tough even if perhaps it would be good.