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] PROOF: -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'. :-))) Jamie Rose 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. > > Bruno