netzweltler
Posts:
473
From:
Germany
Registered:
8/6/10


Re: It is a very bad idea and nothing less than stupid to define 1/3 = 0.333...
Posted:
Oct 1, 2017 3:22 AM


Am Sonntag, 1. Oktober 2017 02:52:29 UTC+2 schrieb mitchr...@gmail.com: > On Saturday, September 30, 2017 at 2:42:46 PM UTC7, netzweltler wrote: > > Am Samstag, 30. September 2017 23:14:36 UTC+2 schrieb mitchr...@gmail.com: > > > > > > .9 repeating and One share a sameness. They are quantities > > > that are different by the infinitely small. > > > .9 repeating is a transcendental One; the First quantity > > > below one. The infinitely small difference means a shared > > > sameness that is still not absolutely same. > > > > > > Mitchell Raemsch > > > > If there is a quantity between 0.999... and 1 > > At some point there needs to be next quantities with > nothing in between. Here you say there is a quantity in between.
> > and, therefore, these are two different points on the number line then you should define the distance between these two points. If you don't, then your first quantity is simply undefined. > > > > 'infinitely small' is not a definition. > > It has a definition of being one divided by infinity > It can't be divided any further. It is The Infinitely divided One. > Their quantity difference is by the infinitely small. > This means there are no quantities in between them. Here you say there is no quantity in between.
> > >There are no two distinct points on the number line 'infinite(simal)ly' far away from each other. > > > Mitchell Raemsch
Doesn't sound like a definition to me.
Do you agree that 0.999... means infinitely many commands Add 0.9 + 0.09 Add 0.99 + 0.009 Add 0.999 + 0.0009 ?? Then following all of these infinitely many commands won?t get you to point 1. If you reached point 1 you have disobeyed those commands, because every single of those infinitely many commands tells you to get closer to 1 but NOT reach 1. Therefore, if you want to define the position of a ?point? 0.999? on the number line, it cannot be at position 1 ? and for the same reason (?disobeying those commands?) it cannot be short of 1 nor can it be past 1. So, if you want to measure the distance 1 ? 0.999? you know where to start the measurement (at point 1) but you don?t know where to stop the measurement, because the position of a ?point? 0.999? is not defined on the number line.

