Am Montag, 21. Juli 2014 00:29:26 UTC+2 schrieb Zeit Geist:
> You have Shown that no Finite Number of Processes on Finite Sets can Produce an Infinite Set.
Wrong. There are infinitely many natural numbers and as many processes.
> Your Claimed Contradiction is that Every s_n is Infinite, yet N Exhausts Q to the Empty Set.
Show a proof of a bijection that does not use all finite n only. > > You say We must have a Contradiction because of the Discontinuity. > No. I say there is no discontinuity. The belief in a discontinuity would be a belief that after all natural numbers have failed to to exhaust Q some magic process does it. Simply nonsense. > > Just because you don't Realize that it is, does Not mean it isn't.
It is not real. Therefore it cannot be realized. It is simply matheological nonsense, a belief that is not supported by formalism, because this formalism simply proves the bijection for finite numbers only.
> The Remaining Rationals are Enumerated by the Remaining Naturals.
There are no naturals remaining after all naturals. My proof is for all naturals.
> Using the Infinite Set N as the Domain of a Function, that what accomplishes that.
> Why do I have to keep saying that?
That remains your secret. I use the infinite set N as the domain of a function from N to S with S being the set of all s_n.