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Saturday, July 30, 2005

On Numerologies

In Umberto Eco’s Foucault’s Pendulum, Aglie teaches Casaubon a bit about numerology. For example, when you multiply the perimeter of the base of the pyramid of Cheops by twenty-four to the third divided by two, you get the earth’s radius, hinting at an occult meaning hidden by the original pyramid’s architects. But Aglie is not impressed:

He threw open the shutters dramatically and pointed. At the corner of the narrow street and the broad avenue, stood a little wooden kiosk, where, presumably, lottery tickets were sold.

“Gentlemen,” he said, “I invite you to go and measure that kiosk. You will see that the length of the counter is one hundred and forty-nine centimeters – in other words, one hundred-billionth of the distance between the earth and the sun. The height at the rear, one hundred and seventy-six centimeters, divided by the width of the window, fifty-six centimeters, is 3.14. The height at the front is nineteen decimeters, equal, in other words, to the number of years of the Greek lunar cycle. The sum of the heights of the two front corners and the two rear corners is one hundred and ninety times two plus one hundred and seventy-six times two, which equals seven hundred and thirty-two, the date of the victory at Poitiers. The thickness of the counter is 3.10 centimeters, and the width of the cornice of the window is 8.8 centimeters. Replacing the numbers before the decimals by the corresponding letters of the alphabet, we obtain C for ten and H for eight, or C10H8, which is the formula for naphthalene.”

“Fantastic,” I said. “You did all these measurements?” “No,” Aglie said. “They were done on another kiosk, by a certain Jean-Pierre Adam. But I would assume that all lottery kiosks have more or less the same dimensions. With numbers you can do anything you like. Suppose I have the sacred number 9 and I want to get the number 1314, date of the execution of Jacques de Molay – a date dear to anyone who, like me, professes devotion to the Templar tradition of knighthood. What do I do? I multiply nine by one hundred and forty-six, the fateful day of the destruction of Carthage. How did I arrive at this? I divided thirteen hundred and fourteen by two, by three, et cetera, until I found a satisfying date. I could also have divided thirteen hundred and fourteen by 6.28, the double of 3.14, and I would have got two hundred and nine. That is the year in which Attalus I, king of Pergamon, joined the anti-Macedonian League. You see?”

“Then you don’t believe in numerologies of any kind,” Diotallevi said, disappointed.

“On the contrary, I believe firmly. I believe the universe is a great symphony of numerical correspondences, I believe that numbers and their symbolisms provide a path to special knowledge. But if the world, below and above, is a system of correspondences where tout se tient, it’s natural for the kiosk and the pyramid, both works of man, to reproduce in their structure, unconsciously, the harmonies of the cosmos.”

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