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Topic: Is zero an approximation?
Replies: 170   Last Post: Dec 8, 2001 12:57 AM

 Messages: [ Previous | Next ]
 Jim Bob Posts: 12 Registered: 12/13/04
Re: Is zero an approximation?
Posted: Nov 30, 2001 2:54 AM

On Fri, 30 Nov 2001 10:47:04 +0800, "The Scarlet Manuka"
<sacha@maths.uwa.edu.au> wrote:

>"Paul Lutus" <nospam@nosite.zzz> wrote in message
>news://uBBN7.181532\$dk.12717229@bin1.nnrp.aus1.giganews.com...

>> "Mike Oliver" <oliver@math.ucla.edu> wrote in message
>> news://3C06DF1C.A1E93F0E@math.ucla.edu...
>>

>> > > Because infinity is not a number. Therefore any effort to include it
>in a
>> > > numerical operation ipso facto produces a meaningless result.
>> >
>> > Well, now, you didn't say 1/Infinity was *meaningless*; you said it
>> > was not a number. That's different. My sister's cat, for example, is

>[...]
>> > There are lots of notions of infinite objects, no one of which I would
>> > single out as the unique "Infinity", and I really don't care whether any
>> > of them are called "numbers" or not. But I do care that I be allowed
>> > to use arithmetical operations on them, when they're applicable.

>>
>> Okay. How does this relate to the fact that infinity is not a number? You
>> certainly cannot perform numerical operations on infinity.

>
>You can in some contexts; for instance in the extended real line
>1/infinity is not only meaningful but 0, by definition. Of course
>zero is still not "an approximation of 1/infinity".

Why not?

1/00 converges on 0.

0 is often used to approximate this covergance limit, practically.

So I wonder what we miss in the hidden n^00 decimal places.

Date Subject Author
11/29/01 Jim Bob
11/29/01 Mike Oliver
11/29/01 Charles
11/29/01 Mike Oliver
11/30/01 Ken Oliver
12/1/01 David Libert
11/29/01 Paul Lutus
11/29/01 Jim Bob
11/29/01 Paul Lutus
11/29/01 Mike Oliver
11/29/01 Paul Lutus
11/29/01 Mike Oliver
11/29/01 Paul Lutus
11/29/01 Mike Oliver
11/29/01 Mike Oliver
11/29/01 Paul Lutus
11/29/01 Mike Oliver
11/29/01 Paul Lutus
11/29/01 Mike Oliver
11/30/01 Paul Lutus
11/30/01 Mike Oliver
11/30/01 Paul Lutus
11/30/01 David W. Cantrell
11/30/01 Mike Oliver
11/30/01 Paul Lutus
11/30/01 Mike Oliver
11/30/01 Paul Lutus
11/30/01 Jesse F. Hughes
11/30/01 Paul Lutus
11/30/01 Mike Oliver
11/30/01 Paul Lutus
11/30/01 Daryl McCullough
11/30/01 Mike Oliver
11/30/01 Jesse F. Hughes
11/30/01 The Scarlet Manuka
11/30/01 Paul Lutus
11/30/01 Matt Gutting
11/30/01 Paul Lutus
12/4/01 Matt Gutting
12/4/01 Paul Lutus
12/1/01 David W. Cantrell
12/1/01 Paul Lutus
12/1/01 Mike Oliver
12/2/01 The Scarlet Manuka
12/3/01 Paul Lutus
12/3/01 The Scarlet Manuka
12/3/01 Paul Lutus
12/3/01 The Scarlet Manuka
12/3/01 Paul Lutus
12/3/01 The Scarlet Manuka
12/3/01 Paul Lutus
12/3/01 The Scarlet Manuka
12/3/01 Mike Oliver
11/30/01 Paul Lutus
11/29/01 Mike Oliver
11/29/01 The Scarlet Manuka
11/30/01 Paul Lutus
11/30/01 Jim Bob
11/30/01 The Scarlet Manuka
11/30/01 Mike Oliver
11/30/01 The Scarlet Manuka
11/30/01 Paul Lutus
11/30/01 meron@cars3.uchicago.edu
11/29/01 James Hunter
11/30/01 neoprog
11/30/01 David W. Cantrell
12/1/01 David C. Ullrich
12/2/01 neoprog
12/3/01 David C. Ullrich
11/29/01 Paul Lutus
11/29/01 The Scarlet Manuka
11/30/01 Paul Lutus
11/30/01 The Scarlet Manuka
11/30/01 Paul Lutus
11/30/01 The Scarlet Manuka
11/30/01 Paul Lutus
11/30/01 The Scarlet Manuka
11/30/01 David W. Cantrell
11/30/01 mareg@primrose.csv.warwick.ac.uk
11/30/01 David W. Cantrell
11/30/01 Jon and Mary Frances Miller
11/30/01 Gregory L. Hansen
11/30/01 Doug Norris
11/30/01 James Hunter
11/30/01 Gregory L. Hansen
11/30/01 James Hunter
11/30/01 Virgil
11/30/01 Paul Lutus
11/30/01 James Hunter
11/30/01 Paul Lutus
11/30/01 James Hunter
11/30/01 Paul Lutus
11/30/01 mareg@primrose.csv.warwick.ac.uk
12/1/01 Jim Bob
12/2/01 Tubby Chubbs
12/2/01 Avoid normal situations.
11/30/01 neoprog
12/5/01 Randy Poe
11/30/01 Julian Fondren
12/2/01 The Scarlet Manuka
11/30/01 Julian Fondren
11/30/01 Paul Lutus
11/30/01 Jim Bob
11/30/01 Paul Lutus
11/30/01 Jim Bob
11/30/01 Paul Lutus
12/1/01 Christian Ohn
12/1/01 Charles Dillingham
12/1/01 Mike Oliver
12/2/01 Charles Dillingham
12/2/01 Mike Oliver
12/2/01 Mike Oliver
12/2/01 Mike Oliver
12/2/01 Bob Kolker
12/2/01 Mike Oliver
12/2/01 Bob Kolker
12/2/01 Mike Oliver
12/2/01 Bob Kolker
12/2/01 Mike Oliver
12/3/01 David W. Cantrell
12/3/01 Bob Kolker
12/3/01 The Scarlet Manuka
12/3/01 Bob Kolker
12/3/01 The Scarlet Manuka
12/3/01 meron@cars3.uchicago.edu
12/2/01 Bob Kolker
12/2/01 Mike Oliver
12/3/01 Bob Kolker
12/3/01 The Scarlet Manuka
12/3/01 Mike Oliver
12/5/01 Mike Oliver
12/7/01 David W. Cantrell
12/8/01 Mike Oliver
12/3/01 Charles Dillingham
12/3/01 Mike Oliver
12/5/01 Charles Dillingham
12/5/01 Mike Oliver
12/5/01 Mike Oliver
11/29/01 Bryan Reed
11/30/01 Jim Bob
11/30/01 Paul Lutus
11/29/01 Uncle Al
11/29/01 Stephen Norris
12/2/01 James Hunter
11/30/01 glenn
11/30/01 James Hunter
11/30/01 Rushtown
11/30/01 Jesse F. Hughes
11/30/01 Virgil
11/30/01 Bob Kolker
11/30/01 Julian Fondren
11/30/01 Paul Cardinale
11/30/01 Paul Lutus
11/30/01 franz heymann
11/30/01 Paul Lutus
12/3/01 Paul Cardinale
12/3/01 Paul Lutus
12/5/01 Paul Cardinale
12/5/01 Paul Lutus
12/6/01 Paul Cardinale
12/6/01 Paul Lutus
12/7/01 Paul Cardinale
12/7/01 Paul Lutus
11/30/01 Stephen Norris
11/30/01 David W. Cantrell
12/1/01 mensanator
12/3/01 Juuichirou Tendou
12/6/01 Keith Ramsay