What is good? All that enhances the feeling of power, the Will to Power, and power itself in man. What is bad? — All that proceeds from weakness. What is happiness? — The feeling that power is increasing — that resistance has been overcome.
There is a lake that one day refused to flow away and threw up a dam at the place where it had before flowed out and since then this lake has always risen higher and higher. Perhaps the very act of renunciation provides us with the strength to bear it ; perhaps man will rise ever higher and higher when he no longer flows out into a God.
There are ages in which the rational man and the intuitive man stand side by side, the one in fear of intuition, the other with scorn for abstraction. The latter is just as irrational as the former is inartistic.
Mathematics would certainly have not come into existence if one had known from the beginning that there was in nature no exactly straight line, no actual circle, no absolute magnitude.