On Friday, June 14, 2013 9:57:59 AM UTC-7, muec...@rz.fh-augsburg.de wrote: > On Friday, 14 June 2013 18:39:35 UTC+2, Julio Di Egidio wrote: > > >> The Binary Tree does not contain paths of irrational numbers. > > > > > It's in your realm, where infinite paths do not exist at all, that irrationals just do not exist either. > > > > You have not yet understood, but you are not the only one. It takes a very bright mind or much time. (I needed much time.) > > Irrational numbers exist in mathemaics. But they have no decimal fraction. > > > > > It's in your realm that objects are only finite, limits do not exist, nor there is an inductive set N. > > > > You have not yet understood. There are limits like SUM1/n! or 0.111... But they have no decimal expansion. In principle no fraction has a pure decimal expansion. When you write 0.25, then you have the additional finite definition that only zeros will follow. > > > > > It's in your realm that limits just do not exist > > > > Wrong. See above. > > > > > and not even infinite unions. > > > > Also that is wrong. There are infinite unions, namely finite unions that surpassing every finite one. > > For every n there is m > n > > Contrary to matheology which requires > > There is M such that for every n : M >= n. > > > > > In fact, it's you who are a complete fraud, indeed a mixture of a spammer and a troll. > > > > In fact you have shown that you have not yet understood. You show the typical reaction. >
Your lack of intellect prevents you from forming the proper intuitions concerning the Infinite. This in turn, causes you to write statements which you think are internal contradictions in Set Theory, even though all you write is garbage.