It happens that email@example.com formulated : > On Monday, October 2, 2017 at 3:05:30 AM UTC-7, Zelos Malum wrote: >> Den måndag 2 oktober 2017 kl. 05:04:50 UTC+2 skrev mitchr...@gmail.com: >>> Add the infinitely small to .9 repeating and you get 1. >>> .9 repeating is a Transcendental One. >>> They share a Sameness that is different only by >>> the smallest first quantity or 1 divided by >>> infinity or the infinitely small. >>> >>> Mitchell Raemsch >> >> There are no infinitesimals in reals so no, 0.999...=1 > > One divided by infinity gives you the first quantity > to exist. By the Continuum Hypothesis there is > an infinity of the infinitely small creating one. > The is the quantity continuum. > > .999 repeating shares a sameness to one because > there is no quantity in between them. > > Mitchell Raemsch
The Continuum Hypothesis is about what is between the countable and the uncountable infinities. Nothing to do with your between 0.999 repeating and 1.000 repeating "problem" at all. These share a sameness because they are the same number expressed (represented) two different ways.