Recent content by mister studebaker

If one is seeking to explain everything, doesn't one run up against Goedel's incompleteness theorem?

True, but if one posits that each step is infinitely small, then it would be indistinguishable from a point on a diagonal, as the distance traveled per step iss infinitely small, i.e., a point, and thusly, 2x = sqrt2(x), which is, logically impossible... A friend said that dividing the line...

Here's an odd one I cooked up wandering the streets. A square (ABCD) has a circumference = 4x. The distance between two given opposed corners (A,C) or (B,D) can be expressed many ways, but two will suffice: doing it in steps (where the distance between AC is 2x) or directly across (where the...