On May 31, 1:48 am, Richard Henry <pomer...@hotmail.com> wrote: > On May 31, 12:19 am, chaja...@mail.com wrote: > > > > O.k., a=0.9999... is a real number. b=1 is a real number. > > > > What value has b-a? > > > > Karl- > > > I do not know that 0.999... is a real number. > > Then you are inventing a new mathematics and you can define 0.999... > to be anything you like.
My only claim in my proof is that real numbers cannot allow 0.999... to be anything except less than one. All of my other understandings and thoughts are purely my own ideas and explorations that I'd actually rather not delve into as they detract from the idea at hand and only lend the ability to perceive as you have. When people ask me about the implications of what all of this would mean, I have no choice but to go into areas of exploration that are new.
All math must be discovered and understood. I may very well be defining a new mathematics, but I feel every bit the need to approach every mathematical system without its own confines.
I very much accept and expect that any intermediate conjecture or theory I have about dubious numbers or their relation or nature in respect to real numbers will likely go under radical shifts in change and understanding. Would we not all expect this to be the case were we to be coming into something completely new?
