for {set i 0} {$i < infinity} {incr i} {
print $i
}
On Mon, Aug 2, 2010 at 6:23 PM, Jim Bromer <[email protected]> wrote:
> I can write an algorithm that is capable of describing ('reaching') every
> possible irrational number - given infinite resources. The infinite is not
> a number-like object, it is an active form of incrementation or
> concatenation. So I can write an algorithm that can write *every* finite
> state of *every* possible number. However, it would take another
> algorithm to 'prove' it. Given an irrational number, this other algorithm
> could find the infinite incrementation for every digit of the given number.
> Each possible number (including the incrementation of those numbers that
> cannot be represented in truncated form) is embedded within a single
> infinite infinite incrementation of digits that is produced by the
> algorithm, so the second algorithm would have to calculate where you would
> find each digit of the given irrational number by increment. But the thing
> is, both functions would be computable and provable. (I haven't actually
> figured the second algorithm out yet, but it is not a difficult problem.)
>
> This means that the Trans-Infinite Is Computable. But don't tell anyone
> about this, it's a secret.
>
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--
cheers,
Deepak
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