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11-02-05 12:59 PM
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Acmlm's Board - I2 Archive - Craziness Domain - Mathmatical proof of "1+1=2"! | |
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Ikuzou

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Posted on 05-26-05 05:53 PM Link | Quote
There was mathmatical proof for 1+1=2!

http://mathforum.org/library/drmath/view/51551.html

Well, it's not crazy, but it is crazy
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Posted on 05-26-05 07:51 PM Link | Quote
Why would you need proof of this?

And I think this is the same guy who debunked the .999~ = 1 theory. Of course anyone who believed that in the first place should go back to pre-school mathematics.
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Posted on 05-26-05 08:10 PM Link | Quote
You can't do a ~ = in the first place... I think the only time you're even allowed to do a ~ is when it involves PI.

And you want to know my proof for it. You take one apple, then decide to take another apple. Having taken no apple's previously, how many apples do you have? Or, what is the word we use for the whole number above one, but a whole number below three?
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Posted on 05-26-05 09:38 PM Link | Quote
.999... = 1

x = .999...
1000x = 999.999...

(999.999...) - (.999) = 999x = 999

.999... = x = 1
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Posted on 05-26-05 09:47 PM Link | Quote
Thats not a proof Graviteh... that's... stupid really...
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Posted on 05-26-05 10:09 PM Link | Quote
Besides, the line ".999... = x = 1" really breaks the rules of Algebra. That formula don't prove anything.

Talk about taking a mathemtical detour there. xD
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Posted on 05-26-05 10:10 PM Link | Quote
As I said ~ should only be used when dealing with PI because of the infinite decimimal places.
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Posted on 05-26-05 10:10 PM Link | Quote
Why make a thread about something that we already know?

1+1 is 11.
FreeDOS

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Posted on 05-26-05 10:28 PM Link | Quote
Actually, 1 + 1 = 10, isn't it?

Also:
take 1/3
1/3 = .333~
1/3 * 2 = 2/3 = .666~
1/3 * 3 = 3/3 = .999~ = 1

Not exactly proof either, but it's good enough for me.
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Posted on 05-26-05 11:08 PM Link | Quote
Originally posted by Dracoon
Thats not a proof Graviteh... that's... stupid really...


I bet you didn't even try to look at it and examine it.

You see, if x = .999...
then 1000x = 999.999...

You subtract x from 1000x

that is 999.999 - .999

and you end up with 999x = 999

MathOnNapkins

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Posted on 05-27-05 12:36 AM Link | Quote
Originally posted by Kitty Jedi
Besides, the line ".999... = x = 1" really breaks the rules of Algebra. That formula don't prove anything.


This does not "break the rules of Algebra". You see stuff like this all the time. However, Graviteh's first line ".999... =1" is not necessary in the proof, since that would be assuming what you wish to prove.

And the stuff about proving 1 + 1 is actually necessary b/c you need a formal system to describe something. Mathematicians don't deal in "Well it seems this way so we'll just say it's true." Rather than putting it in terms of addition, it characterizes the integers in terms of a "successor function", a very important concept in advanced math. Specifically it employs the Peano axioms (when you use them it's called playing the Peano.)

Also, .99999... = 1 b/c if you had a sequence .9, .99, .999, .9999, ... this is a monotone increasing sequence with supremum = 1, hence it converges to 1.


(edited by MathOnNapkins on 05-26-05 07:38 AM)
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Posted on 05-27-05 01:00 AM Link | Quote
I hate math. It's supposed to be all super and accurate but it's one of the most inaccurate "sciences." I mean, sheesh, we can't even cut ten in to three even parts.
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Posted on 05-27-05 01:07 AM Link | Quote
Yes we can. Just pick a different base. The problem of 1/3 being repeating is relative to the fact that 3 is coprime with 10. We use base 10, that is the problem. But in any base system you fill find numbers that share no factors with the base.

e.g. in base 3, the representation for 10 is 101. ( 9 + 0*3 + 1). And the representation for 3 is 10. so 10/3 would be represented as 10.1. Notice, no repeating representation.

And never call math an inexact science. It is the most exact science you will ever find. You cannot disprove known results in math, but you can disprove theories in physics, chemistry, biology, etc, if you find the proper evidence.
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Posted on 05-27-05 02:47 AM Link | Quote
Originally posted by FreeDOS
Actually, 1 + 1 = 10, isn't it?

Also:
take 1/3
1/3 = .333~
1/3 * 2 = 2/3 = .666~
1/3 * 3 = 3/3 = .999~ = 1

Not exactly proof either, but it's good enough for me.


The thing about that is that 1/3 does NOT equal .333~
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Posted on 05-27-05 03:34 AM Link | Quote
*pauses*

*takes a CD case*

*takes out another CD case*

*puts the cases side by side*

One CD case... two CD cases. Proof enough, no?

(Mathematicians... always trying to prove the most simple concepts that we take for granted.)
FreeDOS

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Posted on 05-27-05 03:54 AM Link | Quote
Originally posted by Darth Legious
The thing about that is that 1/3 does NOT equal .333~


How does it not? What I said the value of 1/3 is is exactly what I've been taught... and everybody else I know holds true also.
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Posted on 05-27-05 04:09 AM Link | Quote
Originally posted by FreeDOS
Originally posted by Darth Legious
The thing about that is that 1/3 does NOT equal .333~


How does it not? What I said the value of 1/3 is is exactly what I've been taught... and everybody else I know holds true also.


To say that 1/3 is equal to .333~, it would have to hold true in reverse. .333~ is not equal to 1/3 obviously.

It's the same arguement as .999~ = 1.

It's gets close, but never actually gets there.

The reason you say everyone holds that to be true is just that it's commonly accepted. It's so insanely close that it really doesn't make a difference if you use it that way. But in a technical sense, 1/3 does not equal .333~
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Posted on 05-27-05 04:09 AM Link | Quote
.999~ = 1 is comparing .999~, which is an infinte number, to 1, which is a finite number. An infinite number can't be the same as a finite number, it's that simple.
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Posted on 05-27-05 04:17 AM Link | Quote
Asking some people to understand something that simple is like asking some people why they voted for Bush. You never get an intelligent answer.

It's like how some people say, 1/3 = 0.333, 2/3 = 0.666, 1/3 + 2/3 = 0.999 = 1. But 1/3 + 2/3 = 3/3, and 1/3 != 0.333, nor does 2/3 = 0.666. 2/3 is closer to 0.667 than 0.666, and in which case, that whole argument is moot, anyway.
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Posted on 05-27-05 04:20 AM Link | Quote
Originally posted by Darth Legious

To say that 1/3 is equal to .333~, it would have to hold true in reverse. .333~ is not equal to 1/3 obviously.

It's the same arguement as .999~ = 1.

It's gets close, but never actually gets there.

The reason you say everyone holds that to be true is just that it's commonly accepted. It's so insanely close that it really doesn't make a difference if you use it that way. But in a technical sense, 1/3 does not equal .333~


Then you're not seeing the number as it is... the little tilde (~) indicates that the pattern repeats. In mathematics, it would be a bar over the digits. However, that can't be done in HTML (I could make an image, but that'd be pointless).

.333~ will be the same as .3~ or .33333~. It does not mean 333/1000.

Originally posted by The Gamorr Z
.999~ = 1 is comparing .999~, which is an infinte number, to 1, which is a finite number. An infinite number can't be the same as a finite number, it's that simple.


You're confusing infinity (which is not writtable except for a sideways 8) with an infinite number of digits.
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