John Derbyshire Quotes

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.

The ordinary modes of human thinking are magical, religious, social, and personal. We want our wishes to come true; we want the universe to care about us; we want the approval of those around us; we want to get even with that s.o.b. who insulted us at the last tribal council. For most people, wanting to know the cold truth about the world is way, way down the list.