Mathematics has the completely false reputation of yielding infallible conclusions. Its infallibility is nothing but identity. Two times two is not four, but it is just two times two, and that is what we call four for short. But four is nothing new at all. And thus it goes on and on in its conclusions, except that in the higher formulas the identity fades out of sight.
Johann Wolfgang von GoetheA flippant, frivolous man may ridicule others, may controvert them, scorn them; but he who has any respect for himself seems to have renounced the right of thinking meanly of others.
Johann Wolfgang von GoetheThe worst is that the very hardest thinking will not bring thoughts. They must come like good children of God and cry, "Here we are." You expend effort and energy thinking hard. Then, after you have given up, they come sauntering in with their hands in their pockets. If the effort had not been made to open the door, however, who knows when they could have come.
Johann Wolfgang von Goethe