.99999 does not equal 1

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Re: .99999 does not equal 1
« Reply #630 on: September 05, 2008, 06:30:28 PM »
Are we going to break a floating oceans record?

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zeroply

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Re: .99999 does not equal 1
« Reply #631 on: September 05, 2008, 07:40:06 PM »
Are we going to break a floating oceans record?

I'm still waiting for a response to my previous stuff. Narcberry numbers work great for day to day operations. For all we know they may be the same as the reals.

Re: .99999 does not equal 1
« Reply #632 on: September 06, 2008, 03:45:36 AM »
Umm, why the big debate about something as pointless as this??


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Parsifal

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Re: .99999 does not equal 1
« Reply #633 on: September 06, 2008, 06:06:47 AM »
Umm, why the big debate about something as pointless as this??

Why post here if you think it's so pointless?
I'm going to side with the white supremacists.

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mwahaha

Re: .99999 does not equal 1
« Reply #634 on: September 07, 2008, 08:02:19 AM »
Umm, why the big debate about something as pointless as this??

Why post here if you think it's so pointless?

*shrug* Well, this whole site is kinda pointless, but we all post here anyway cuz it's slightly addicting in an odd way.

Re: .99999 does not equal 1
« Reply #635 on: September 08, 2008, 05:46:46 PM »
3/3 = 1

1/3= .33333...

Therefore, (.33333333....) + (.33333333....) + (.33333333....) = (.99999999...) = 1

Nope. Its just a flaw in the notation.

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Parsifal

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Re: .99999 does not equal 1
« Reply #636 on: September 08, 2008, 05:52:11 PM »
Nope. Its just a flaw in the notation.

33 pages, Narc banned, and still people are saying this.
I'm going to side with the white supremacists.

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cmdshft

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Re: .99999 does not equal 1
« Reply #637 on: September 08, 2008, 07:04:13 PM »
3/3 = 1

1/3= .33333...

Therefore, (.33333333....) + (.33333333....) + (.33333333....) = (.99999999...) = 1

Nope. Its just a flaw in the notation.

Wrong. Use a calculator and do (1/3). Then do (1/3)*3.

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mwahaha

Re: .99999 does not equal 1
« Reply #638 on: September 08, 2008, 10:23:45 PM »
Nope. Its just a flaw in the notation.

33 pages, Narc banned, and still people are saying this.

Narc's banned? Fer serious?

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Raist

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Re: .99999 does not equal 1
« Reply #639 on: September 08, 2008, 10:27:35 PM »
Yup.

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Parsifal

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Re: .99999 does not equal 1
« Reply #640 on: September 08, 2008, 10:31:54 PM »
Narc's banned? Fer serious?

Yeah, for thirty days. He derailed a thread in D&D.
I'm going to side with the white supremacists.

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Raist

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Re: .99999 does not equal 1
« Reply #641 on: September 09, 2008, 01:26:53 PM »
Narc's banned? Fer serious?

Yeah, for thirty days. He derailed a thread in D&D.
It wasn't for the derail. It was for telling someone to have retard babies and die. Let's keep the story straight.

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Parsifal

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Re: .99999 does not equal 1
« Reply #642 on: September 09, 2008, 01:34:19 PM »
It wasn't for the derail. It was for telling someone to have retard babies and die. Let's keep the story straight.

More specifically, for doing so while derailing a thread in D&D. Nobody would have cared if he'd said it in Complete Nonsense or Angry Ranting, or possibly even General Discussion.
I'm going to side with the white supremacists.

Re: .99999 does not equal 1
« Reply #643 on: September 09, 2008, 09:38:55 PM »
All .9999...=1 means is that the limit, as the number of 9's increases without bound, equals 1.




LOL, we did that proof in university... I love that one...

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zeroply

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Re: .99999 does not equal 1
« Reply #644 on: September 10, 2008, 02:48:33 PM »
All .9999...=1 means is that the limit, as the number of 9's increases without bound, equals 1.




LOL, we did that proof in university... I love that one...

You're just using circular logic here anyway. You haven't proved that lim n->inf 1 / 10n is 0. What if it's a really really small number that's immediately above 0?

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Euclid

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Re: .99999 does not equal 1
« Reply #645 on: September 10, 2008, 02:56:10 PM »
Quote
You're just using circular logic here anyway. You haven't proved that lim n->inf 1 / 10n is 0. What if it's a really really small number that's immediately above 0?

Delta-epsilon proof, if you really need it.
Quote from: Roundy the Truthinessist
Yes, thanks to the tireless efforts of Euclid and a few other mathematically-inclined members, electromagnetic acceleration is fast moving into the forefront of FE research.
8)

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zeroply

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Re: .99999 does not equal 1
« Reply #646 on: September 10, 2008, 03:13:49 PM »
Quote
You're just using circular logic here anyway. You haven't proved that lim n->inf 1 / 10n is 0. What if it's a really really small number that's immediately above 0?

Delta-epsilon proof, if you really need it.

Sure, throw it my way. I want to see how you get the above result without assuming exactly what we are in the middle of debating.

If we define real numbers as any decimal expansion, then this wouldn't hold.

Re: .99999 does not equal 1
« Reply #647 on: September 10, 2008, 03:15:20 PM »
Quote
You're just using circular logic here anyway. You haven't proved that lim n->inf 1 / 10n is 0. What if it's a really really small number that's immediately above 0?

Delta-epsilon proof, if you really need it.

Sure, throw it my way. I want to see how you get the above result without assuming exactly what we are in the middle of debating.

If we define real numbers as any decimal expansion, then this wouldn't hold.

You aren't considering that numbers only exist in the outside world. Inside, however, no one can possibly penetrate my arsenal, which is not at all equal to zero, as you suggest.

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Parsifal

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Re: .99999 does not equal 1
« Reply #648 on: September 10, 2008, 03:56:09 PM »
If we define real numbers as any decimal expansion, then this wouldn't hold.

And then π wouldn't be a real number.
I'm going to side with the white supremacists.

Re: .99999 does not equal 1
« Reply #649 on: September 10, 2008, 04:10:35 PM »
Can we please let this die?

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Euclid

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Re: .99999 does not equal 1
« Reply #650 on: September 10, 2008, 04:46:13 PM »
Quote
You're just using circular logic here anyway. You haven't proved that lim n->inf 1 / 10n is 0. What if it's a really really small number that's immediately above 0?

Delta-epsilon proof, if you really need it.

Sure, throw it my way. I want to see how you get the above result without assuming exactly what we are in the middle of debating.

If we define real numbers as any decimal expansion, then this wouldn't hold.

OK, if this really is a problem for you.

A limit of a sequence is defined as follows.  L is the limit of a sequence, xn, if and only if for every ε > 0, there exists an N such that for any positive integer n greater than N |xn-L|< ε.  Setting L = 0 and xn = 1/10n, we obtain the following statement to that we need to prove.

Proposition: For any ε > 0, there exists an N such that for any positive integer n greater than N |1/10n|< ε.

Proof:  Let N = -log10 ε.  This defines an N for any ε > 0.  It can be shown that |1/10n|< ε for all n > N.

It is given that n > N.  Subtituting N = -log10 ε, we have
n > -log10 ε.
 
We can solve for ε, to find
1/10n < ε.
Taking the absolute value, we have
|1/10n| < ε
since |ε|=ε because ε > 0.

Thus, we have shown for any ε > 0 there exists an N such that for any n > N, |1/10n| < ε namely N = -log10 ε.  The proposition is proven and the limit is 0.

Can we please let this die?

No.
Quote from: Roundy the Truthinessist
Yes, thanks to the tireless efforts of Euclid and a few other mathematically-inclined members, electromagnetic acceleration is fast moving into the forefront of FE research.
8)

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WardoggKC130FE

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Re: .99999 does not equal 1
« Reply #651 on: September 11, 2008, 11:15:00 PM »
.99999999...... does not equal 1.  No matter how infinitely small the gap between .999999..... and 1 gets, it will never get there due to its infinite nature.

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Parsifal

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Re: .99999 does not equal 1
« Reply #652 on: September 11, 2008, 11:22:23 PM »
.99999999...... does not equal 1.  No matter how infinitely small the gap between .999999..... and 1 gets, it will never get there due to its infinite nature.

Wrong.

Take An to be the nth element in the sequence 9 * 10-1 + 9 * 10-2 + ... + 9 * 10-n, where n is a finite positive integer.

Then there is some number B such that An < B < 1.

But because limn→∞ An = 1, then there will be some finite positive integer k such that An+k > B.

Therefore, every number that is less than 1 can be exceeded by An simply by making n a large enough, but finite, positive integer.

Since to have an infinite number of 9s simply means that no matter how large the number of finite 9s you count, there will always be at least one more, 0.999... = 1.

QED

I'm going to side with the white supremacists.

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WardoggKC130FE

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Re: .99999 does not equal 1
« Reply #653 on: September 11, 2008, 11:26:50 PM »
Since to have an infinite number of 9s simply means that no matter how large the number of finite 9s you count, there will always be at least one more,

Thank you for proving my point.  There will always be one more 9.


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Parsifal

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Re: .99999 does not equal 1
« Reply #654 on: September 11, 2008, 11:32:55 PM »
Thank you for proving my point.  There will always be one more 9.

I don't think you realise the implications of that. It doesn't support your point at all.
I'm going to side with the white supremacists.

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WardoggKC130FE

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Re: .99999 does not equal 1
« Reply #655 on: September 11, 2008, 11:33:55 PM »
Yes it does.

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Parsifal

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Re: .99999 does not equal 1
« Reply #656 on: September 11, 2008, 11:34:50 PM »
I'm going to side with the white supremacists.

Re: .99999 does not equal 1
« Reply #657 on: September 11, 2008, 11:38:23 PM »
When narcberry gets back, he's going to be fapping over how you guys have kept his shit going...

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WardoggKC130FE

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Parsifal

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Re: .99999 does not equal 1
« Reply #659 on: September 11, 2008, 11:47:36 PM »
I'm going to side with the white supremacists.