netzweltler
Posts:
278
From:
Germany
Registered:
8/6/10
|
|
Re: Almost infinite
Posted:
Dec 17, 2012 1:19 PM
|
|
On 17 Dez., 16:43, calvin <cri...@windstream.net> wrote:
> On Dec 17, 2:07 am, netzweltler <reinhard_fisc...@arcor.de> wrote:
>
> > On 17 Dez., 07:28, calvin <cri...@windstream.net> wrote:
>
> > > Imagine counting all positive integers over
> > > a unit period of time, from zero to one, thusly:
> > > Count 1 at time 1/2, 2 at time 3/4, 3 at
> > > time 7/8, and so on, with each integer coming
> > > at half of the remaining time after the last
> > > integer counted. As the time moves inexorably
> > > toward one, and becomes almost one, the number
> > > of integers counted becomes just as almost infinite.
>
> > For t<1 is valid, the number of integers counted is finite. So, almost
> > infinite = finite, right?
>
> Eight, but I was trying to be funny, changing
> 'almost' from a quantifier to a time-oriented
> meaning.
Nevertheless, your thought experiment makes sense to me. To be more
correct:
For _each_ t<1 is valid, the number of integers counted is finite.
We have infinitely many integers counted before t = 1. Even if we
cannot apply an "almost infinite" count.
--
netzweltler
|
|
