Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Topic: Almost infinite
Replies: 19   Last Post: Mar 21, 2013 2:40 PM

 Search Thread: Advanced Search

 Messages: [ Previous | Next ]
 netzweltler Posts: 329 From: Germany Registered: 8/6/10
Re: Almost infinite
Posted: Dec 17, 2012 1:19 PM
 Plain Text Reply

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

Date Subject Author
12/11/12 David R Tribble
12/11/12 William Elliot
12/12/12 fom
12/12/12 William Elliot
12/12/12 fom
12/12/12 ross.finlayson@gmail.com
12/17/12 Porky Pig Jr
12/12/12 Richard Tobin
12/13/12 Jim Burns
12/13/12 forbisgaryg@gmail.com
12/16/12 David R Tribble
12/17/12 Calvin
12/17/12 netzweltler
12/17/12 Calvin
12/17/12 netzweltler
12/13/12 FredJeffries@gmail.com
3/17/13 fom
3/17/13 fom
3/21/13 Frederick Williams
3/21/13 scattered

© The Math Forum at NCTM 1994-2016. All Rights Reserved.