Ramsey theory implies that complete disorder is impossible. Somehow, no matter how complicated, chaotic, or random something appears, deep within tha… - Ivars Peterson

To an increasing number of practitioners, computer simulations rooted in mathematics represent a third way of doing science, alongside theory and experiment.

Most coincidences are simply chance events that turn out to be far more probable than many people imagine.

Intriguingly, the mathematics of randomness, chaos, and order also furnishes what may be a vital escape from absolute certainty—an opportunity to exercise free will in a deterministic universe. Indeed, in the interplay of order and disorder that makes life interesting, we appear perpetually poised in a state of enticingly precarious perplexity. The universe is neither so crazy that we can’t understand it at all nor so predictable that there’s nothing left for us to discover.