Re: Calculus XOR Probability

Tony Orlow wrote:

According to Han's research, I'm not the first to explain this example of
yours in terms of a fractal line, with points at odd angles to the overall
direction of the space so defined, and therefore longer than the distance
between endpoints. Thanks, Han! So, you might want to reconsider your
understanding of this "limit" of the diagonal as pointing out a flaw, not with
the use of induction in the infinite case, but with the notion that the
direction of elements don't matter in an approximation. When you prove things
by contradiction this way, which is essentially what you're doing, you must be
careful that you attribute the contradiction to the right cause. That's the
lesson to be learned here. Hope that helps! :)

Whoa, Tony, not so fast! I want to scrutinize Chas Brown's argument,
before concluding that we are allright. The "fractal" is indeed mine,
BTW, and not from the Riddles book. Sorry if I've been misleading.

Han de Bruijn

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