When someone hides something behind a bush and looks for it again in the same place and finds it there as well, there is not much to praise in such s… - Friedrich Nietzsche

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.

Diese doppelte Selbständigkeit preist man mit Hochgefühl als ›akademische Freiheit‹: ... nur daß hinter beiden Gruppen in bescheidener Entfernung der Staat mit einer gewissen gespannten Aufsehermiene steht, um von Zeit zu Zeit daran zu erinnern, daß er Zweck, Ziel und Inbegriff der sonderbaren Sprech- und Hörprozedur sei.

I always believed that at some time fate would take from me the terrible effort and duty of educating myself. I believed that, when the time came, I would discover a philosopher to educate me, a true philosopher whom one could follow without any misgiving because one would have more faith in him than one had in oneself. Then I asked myself: what would be the principles by which he would educate you?—and I reflected on what he might say about the two educational maxims which are being hatched in our time. One of them demands that the educator should quickly recognize the real strength of his pupil and then direct all his efforts and energy and heat at them so as to help that one virtue to attain true maturity and fruitfulness. The other maxim, on the contrary, requires that the educator should draw forth and nourish all the forces which exist in his pupil and bring them to a harmonious relationship with one another. ... But where do we discover a harmonious whole at all, a simultaneous sounding of many voice in one nature, if not in such men as Cellini, men in whom everything, knowledge, desire, love, hate, strives towards a central point, a root force, and where a harmonious system is constructed through the compelling domination of this living centre? And so perhaps these two maxims are not opposites at all? Perhaps the one simply says that man should have a center and the other than he should also have a periphery? That educating philosopher of whom I dreamed would, I came to think, not only discover the central force, he would also know how to prevent its acting destructively on the other forces: his educational task would, it seemed to me, be to mould the whole man into a living solar and planetary system and to understand its higher laws of motion.