“We are forever asking Nature whether it has stopped beating its wife.”

“He thought she might understand that you couldn't cure the throbbing of loss with reunion--you might only make it beat harder and hotter.”

“We realize that anything can be everything and each is also its opposite-then the image of zero's perfect ring shines before us.”

“Hearing may make shorter intuitive leaps than sight, but it too is subject to illusions. The most pleasant of these are 'mondegreens,' named by the author Sylvia Wright from her youthful mishearing of the Scottish ballad that actually says, 'They hae slain the Earl o' Moray / and they layd him on the green'--not, alas, 'the Lady Mondegreen.' Children, with their relaxed expectations for logic, are a rich source of these (pledging allegiance to 'one Asian in the vestibule, with little tea and just rice for all'), but everyone has the talent to infer the ridiculous from the inaudible--and, what's more, to believe in it. Here, at least, we do behave like computers, in that our voice-recognition software has little regard for probability but boldly assumes we live in a world of surrealist poets. We are certain that Mick Jagger will never leave our pizza burning and that the Shadow knows what evil lurks in the hot cement.”

“If you fret that the world grows short of genuine wonders, consider this: the most complex lump of matter in the universe. It works in ways we can only guess at. THrough generations of intense study, scientists have at last come to understand some of its local mechanism, but the connection between local and general remains for them, as for the rest of us, a matter of arm-waving speculation--we know less about what's going on inside of it than we do about the functional structure of the most distant galaxies. It weighs a little over three pounds and is the consistency of toothpaste; you're carrying it between your ears.”

“Denial is a useful defense mechanism until it's not.”

“A Puritan twist in our nature makes us think that anything good for us must be twice as good if it's hard to swallow. Learning Greek and Latin used to play the role of character builder, since they were considered to be as exhausting and unrewarding as digging a trench in the morning and filling it up in the afternoon. It was what made a man, or a woman -- or more likely a robot -- of you. Now math serves that purpose in many schools: your task is to try to follow rules that make sense, perhaps, to some higher beings; and in the end to accept your failure with humbled pride. As you limp off with your aching mind and bruised soul, you know that nothing in later life will ever be as difficult.What a perverse fate for one of our kind's greatest triumphs! Think how absurd it would be were music treated this way (for math and music are both excursions into sensuous structure): suffer through playing your scales, and when you're an adult you'll never have to listen to music again. And this is mathematics we're talking about, the language in which, Galileo said, the Book of the World is written. This is mathematics, which reaches down into our deepest intuitions and outward toward the nature of the universe -- mathematics, which explains the atoms as well as the stars in their courses, and lets us see into the ways that rivers and arteries branch. For mathematics itself is the study of connections: how things ideally must and, in fact, do sort together -- beyond, around, and within us. It doesn't just help us to balance our checkbooks; it leads us to see the balances hidden in the tumble of events, and the shapes of those quiet symmetries behind the random clatter of things. At the same time, we come to savor it, like music, wholly for itself. Applied or pure, mathematics gives whoever enjoys it a matchless self-confidence, along with a sense of partaking in truths that follow neither from persuasion nor faith but stand foursquare on their own. This is why it appeals to what we will come back to again and again: our **architectural instinct** -- as deep in us as any of our urges.”