> > It should be obvious at this stage that he is > > trolling ;-) > > I find that insulting. > > Tom
As would I have Tom. I have come to understand that poeple will always reject what you have to say if they do not understand it in their own terms. Instead they will call it inapplicable, made up, arbitrary, non- sensical, or any other number of things. Negative numbers received the same reception.
I wish I fully understood the ideas you have presented, and over time, as this is an area of passion for me, I assume one day I shall. I can only offer that the distance between 0.999... and 1 itself does not seem to be a real number. Much as decimal cannot express a least number after zero, for to do so only points out an infinity it has jumped, it seems no real number less than 1 can be pointed out that 0.999... will not surpass - this I am still studying and pondering. I consider 0.999... more a map than an explicit location. I do not understand the insistance of people that 0.999... must be a real number when we have worked with no other mathematical value that is infinite and present. pi may be infinite but we cannot represent its infinite decimal with simple bars, vinculums, dots, or ellipses.
If I understood the needs of your systems, I may perhaps be able to communicate with you on this better. I encourage you to maintain all reservations you have until you can resolve them in terms that make sense to you.