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Quote by Richard Friedberg

“Some numbers, even large ones, have no factors - except themselves, of course, and 1. These are called prime numbers, because everything they are starts with themselves. They are original, gnarled, unpredictable, the freaks of the number world.”

Quote by Richard Friedberg

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Richard Friedberg

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“Mathematicians call it “the arithmetic of congruences.” You can think of it as clock arithmetic. Temporarily replace the 12 on a clock face with 0. The 12 hours of the clock now read 0, 1, 2, 3, … up to 11. If the time is eight o’clock, and you add 9 hours, what do you get? Well, you get five o’clock. So in this arithmetic, 8 + 9 = 5; or, as mathematicians say, 8 + 9 ≡ 5 (mod 12), pronounced “eight plus nine is congruent to five, modulo twelve.”

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“No part of mathematics is ever, in the long run, "useless." Most of number theory has very few "practical" applications. That does not reduce its importance, and if anything it enhances its fascination. No one can predict when what seems to be a most obscure theorem may suddenly be called upon to play some vital and hitherto unsuspected role.”

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“She never sent the castle to sleep”, said Granny, “that’s just an old wife’s tale. She just stirred up time a little. It’s not as hard as people think, everyone does it all the time. It’s like rubber, is time, you can stretch it to suit yourself.” Magrat was about to say: That’s not right, time is time, every second lasts a second, that’s its job. Then she recalled weeks that had flown past and afternoons that had lasted forever. Some minutes had lasted hours, some hours had gone past so quickly she hadn’t been aware they’d gone past at all. “But that’s just people’s perception, isn’t it?” “Oh yes”, said Granny, “of course it is, it all is, what difference does that make?”

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