| Re: 0.999...=1
"Pat, that example is incorrect since there are INFINITELY many 9's, thus mutliplying by ten must yield 9.9999..."
I took this from the Shout Box if that is okay. I was wondering what mathematical means you would propose, Neutralino, for the quantum jump above, if we know that numbers exist between numbers continuously, there doesn't seem to be a case whereby we could justifiably make that arbitrary discrete jump.
I think pursuing this might lead to a simplified QM understanding because we have a fubar mix of continuity and discretness, in the sense that we can use either one as each other to satisfy both: an infinite number of discrete units continuing forever; one absolute unit; an eternal continuation of one unit; and the absolute decimal point.
If we multiply .999... by 10, then we multiply 1.000... by 10, we get 9.999... and 10.000... Are we therein not in the identical boat? |