The magic of integration (was We are NOT our DNA)

From: Lee Corbin (lcorbin@tsoft.com)
Date: Sat Oct 12 2002 - 03:41:48 MDT


Ross writes

> Infinity is a great thing, it exists between any two points in the
> continuum between those two points. Here's a funny fact, the constant
> function f(x)=1 integrated over the naturals evaluates to equal to two.

How d'ya get that? I think it's zero.

> You might expect it to equal to one, like a one by one square, I did and
> was surprised. I figure that the single digits have something like
> those rising and falling edges where the continuous points have either a
> rising or falling edge.
>
> That leads into indefiniteness, like, what is the smallest real number,
> (iota), whatnot.

There isn't a smallest real number. Or there is.

Lee



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