To an increasing number of practitioners, computer simulations rooted in mathematics represent a third way of doing science, alongside theory and exp… - Ivars Peterson

Tversky was fond of describing his work as “debugging human intuition.”...Tversky could establish again and again the existence of mismatches between intuition and probability—between cognitive illusion and reality.

Ramsey theory implies that complete disorder is impossible. Somehow, no matter how complicated, chaotic, or random something appears, deep within that morass lurks a smaller entity that has a definite structure. Striking regularities are bound to arise even in a universe that has no rules.

Indeed, mathematics is full of conjectures—questions waiting for answers—with no assurance that the answers even exist.