"Man walks in a straight line because he has a goal and knows where he is going; he has made up his mind to reach some particular place and goes straight to it.The pack-donkey meanders along, meditates a little in his scatter-brained and distracted fashion, he zigzags in order to avoid the larger stones, or to ease the climb, or to gain a little shade; he takes the line of least resistance.
But man governs he feelings by his reason; he keeps his feelings and instincts in check, subordinating them to the aim he has in view. He rules the brute creation by his intelligence. His intelligence formulates laws which are the product of experience. His experience is born of work; man works in order that he not perish. In order (for) that production to be possible, a line of conduct is essential, the laws of experience must be obeyed. Man must consider the result in advance.
But the pack-donkey thinks of nothing at all, except what will save him trouble."
Le Corbusier, The City of Tomorrow, p. 11-12
Critics of Euclid, such as the Greek philosopher Epicurus, used the pack Donkey's geometric intuitions to ridicule Euclid's insistence on "proving things that have no need of proof." Euclid's science is ridiculous, Epicurus claimed, pointing to a proposition half way through the first book of the Elements, in which Euclid labors to show that no side of a triangle can be longer than the sum of the other two sides. "It is evident even to an ass." For a hungry ass will go directly to a bale of hay at B, without passing through any point C outside the straight line.
So much for the superiority of Corbusian man.
