Gentlemen (and Ladies, if some be present here),
I offer you a small bit of wisdom and irony,
presented in a bit of humor.
Statement of vernacular AND mathematical truth:
"The universe is an ODD PLACE." (!)
[i.e., it is imbalanced and -not- fundamentally symmetric]
-infinity <--- [zero] ---> +infinity
The symmetric infinities balance and cancel each other
out, leaving an entity~identity having no complement;
an 'odd' remainder.
So, when all is said and done, the universe is
essentially an 'odd place'. :-)))
ps. then again, you might want to do what I am
doing: looking to build a more complete mathematics
in which some states of [one] and [zero] are
equal to each other. ! :-) jr
Marchal Bruno wrote:
> >> > From: "Russell Standish" <[EMAIL PROTECTED]>
> >> >
> >> > > There is no problem is saying that all computations exist in
> >> > > "platonia" (or the plenitude). This is a zero information set, and
> >> > > requires no further explanation.
> Stricly speaking I disagree. The expression "all computations" needs
> Church thesis for example. And Church thesis is a non trivial bag of info.
> But I see where is the point. The "all computation set" is a zero
> information set, but is not a zero meta-information set, should we say.
> Same for "all numbers", "all sets" You still need to define axiomatically
> numbers or sets.
> There will always be some mysterious entity we need to
> postulate. That is why I postulate explicitely the Arithmetical Realism
> in comp. Too vague "Everything" could lead to inconsistencies.