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Archive for September 11th, 2008

Impossibilities

“If you’ve done six impossible things this morning, why not round it off with breakfast at Milliway’s—the Restaurant at the End of the Universe!”–Douglas Adams

I recently finished reading the book “The Joy of Pi” by David Blatner. There is a chapter about the concept of squaring a circle, also called the quadrature of a circle. The idea is that, with just a ruler and a compass, you construct a square of equal area to a given circle.

It turns out it cannot be done. It is, in this iteration of the multiverse, impossible. Not difficult, or implausible or really hard. Impossible. You cannot square a circle in a finite number of steps given the conditions of using only a ruler and a compass.

That it is impossible does not prevent people from trying. Individuals do derive solutions to squaring the circle, and sometimes the derivation is erroneous, and sometimes they have a solution that requires a new value for pi.

Pi is the ratio of the circumference of a circle to its diameter. Take the circumference of a circle, divide it by its diameter and get the endless, or transcendental, number 3.141592654….(1) That number is part of the fabric of this universe. It is a fundamental part of how life, the universe, and everything is put together (2). It is a curious psychopathology that some people feel that all of known mathematics is wrong, and that they have a solution to an impossible problem and that they have discovered the hither to unknown, one true value of pi as a result.

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Posted in: General, Science and Medicine

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