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Apr 28 2010 05:04pm
Quote (ElusiveNeutrino @ Apr 28 2010 01:43pm)
Why do people keep saying "it gets closer to," or "approaches," 1? The number is just a dot on the number line that isn't capable of moving.


If you have any math knowledge at all, this wording implies an infinite sum or sequence, which does move...

This post was edited by Taxidermy on Apr 28 2010 05:17pm
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Apr 28 2010 06:32pm
Lol I'm surprised this hasn't been locked. This is a debate in the homework sections.
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Apr 28 2010 07:04pm
No need to go crazy with this.

0.999999 Will NEVER = 1 .
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Apr 28 2010 07:08pm
Quote (Taxidermy @ Apr 28 2010 06:04pm)
If you have any math knowledge at all, this wording implies an infinite sum or sequence, which does move...


If you are going to be condescending like that, it would really help to be right. Any infinite series is identically an extended real number. I think you may be confusing what the object is with the method of computing what it is: i.e. as the limit of partial sums. The infinite series SUM_{n,1,infty} 9/10^n converges uniformly to 1 in the partial sums. The series is therefore is identically one. It definitely isn't moving.
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Apr 28 2010 07:18pm
Quote (darkfire @ Apr 28 2010 08:08pm)
If you are going to be condescending like that, it would really help to be right.


stopped reading there

if you write something like sum from 1 to N (...) and then you are increasing N, it does make sense to say the sum is "moving"

you only have so many ways to try to describe something abstract

This post was edited by Taxidermy on Apr 28 2010 07:21pm
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Apr 28 2010 07:27pm
Quote (Taxidermy @ Apr 28 2010 08:18pm)
stopped reading there

if you write something like sum from 1 to N (...) and then you are increasing N, it does make sense to say the sum is "moving"

you only have so many ways to try to describe something abstract


The sequence of partial sums is "moving". The sum itself is not.
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Apr 28 2010 07:32pm
Quote (darkfire @ Apr 28 2010 08:27pm)
The sequence of partial sums is "moving". The sum itself is not.


and?

This post was edited by Taxidermy on Apr 28 2010 07:33pm
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Apr 28 2010 07:33pm
Quote (Taxidermy @ Apr 28 2010 08:32pm)
and? i dont recall saying the number 1 moved


Quote (Taxidermy @ Apr 28 2010 06:04pm)
If you have any math knowledge at all, this wording implies an infinite sum or sequence, which does move...


An infinite sum is a number.
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Apr 28 2010 07:34pm
Quote (darkfire @ Apr 28 2010 08:33pm)
An infinite sum is a number.


uh huh, i clearly meant partial sums

ah, but mathematicians hate it when you say "clearly _____ "

This post was edited by Taxidermy on Apr 28 2010 07:35pm
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Apr 28 2010 07:38pm
Quote (Taxidermy @ Apr 28 2010 08:34pm)
uh huh, i clearly meant partial sums

ah, but mathematicians hate it when you say "clearly _____ "


If that is actually the case, then your response to ElusiveNeutrino makes no sense to me. He said that the infinite sum representation is a number which does not move. Why would you respond that he has "no math knowledge" at all when what he said is completely and unambiguously correct?
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