I can prove that 2 = 1

aeroguy

Senior member
Mar 21, 2002
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Ready... See if you can follow


Let's say
a = b
add an 'a' to both sides to get
a + a = a + b
which is the same as
2a = a + b
now subtract 2b from both sides
2a - 2b = a + b - 2b
factor out the 2 and subtract
2(a - b) = (a - b)
divide both sides by (a - b) to get
2 = 1


Math Wizardry combined with pretty sound logic. Can anyone tell me why this works?
 

Einz

Diamond Member
May 2, 2001
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kinda old.. but i know why :) I won't spoil it for those who don't quite know it yet.
 

aeroguy

Senior member
Mar 21, 2002
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<< kinda old.. but i know why :) I won't spoil it for those who don't quite know it yet. >>



Yes, kinda old. Probably almost as old as math itself, but timeless none-the-less.
 

dionx

Diamond Member
Mar 11, 2001
3,500
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<< Let's say a = b
add an 'a' to both sides to get a + a = a + b
which is the same as 2a = a + b
now subtract 2b from both sides 2a - 2b = a + b - 2b
>>



good till this point

but when you factor out the 2, you get

2(a-b) = a + b - 2b

substitute a for b, then you get 0=0. so you didn't prove 2 =1
 

datalink7

Lifer
Jan 23, 2001
16,765
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a-b = 0

So wouldn't you have 0 = 0 at the end instead of 2 = 1?

edit damn, dionx beat me to the punch.
 

aphex

Moderator<br>All Things Apple
Moderator
Jul 19, 2001
38,572
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<< AphexII, I like the other avatar better. >>



Hahah, ive had it for a few days now... You dont like me as a 'jolly' woman? :(
 

notfred

Lifer
Feb 12, 2001
38,241
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<<
a = b
add an 'a' to both sides to get
a + a = a + b
which is the same as
2a = a + b
now subtract 2b from both sides
2a - 2b = a + b - 2b
factor out the 2 and subtract
2(a - b) = (a - b)
divide both sides by (a - b) to get
2 = 1
>>



a-b = 0. you can't divide by zero.
 

aeroguy

Senior member
Mar 21, 2002
804
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0
You are all very very close.

The real meat of the issue is when I divide by (a - b)
As you have figured out (a - b) = 0
and the math law broken here is dividing by 0

ERROR. DIVIDED BY ZERO.
 

pyonir

Lifer
Dec 18, 2001
40,856
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<< AphexII, I like the other avatar better. >>


glad to see i wasn't alone on that one....;)
 

Lithium381

Lifer
May 12, 2001
12,452
2
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hah, my friend tried to make me beleive that 4 = 3:

4 = 3
(mutliply both sides by 0)
0*4 = 0*3
(gives you:)
0 = 0

therefore the entire statement is true, so 4 is the same as 3.......why does that work, i mean i see it's not impossible, but logicly that seems wrong
 

Zebo

Elite Member
Jul 29, 2001
39,398
19
81
I can prove that 2 = 1

The sky is blue too. So what?
Lets see, man works and wife works = 2 paychecks
Man wants 65' GTO he's been eyeing since birth = 0
Wife wants shutters and curtains because it's vogue =1

2=1+0

Simple math really.
 

RaynorWolfcastle

Diamond Member
Feb 8, 2001
8,968
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My prof had a good proof of 0 = 1 lemme see if I can remember it

0 = 0
0 = 0 + 0 + 0 + 0 + ....
0 = (1-1) + (1-1) + (1-1) + (1-1) +... to infinity
0 = 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 .... to infinity
0 = 1 + ( -1 + 1) + (-1 + 1) + (-1 + 1) .... to infinity
0 = 1 + 0 + 0 + 0 + 0 + 0 ..... to infinity
0 = 1

somehow I'm remembering this isn't exactly how he did it. It was to illustrate something about infinite sequences.

Lemme know if you can see why this is wrong :)

-Ice
 

SuperCyrix

Platinum Member
Mar 4, 2001
2,118
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You know, that's what I've been saying all along. 1 = 2
Took the rest of the world long enough to figure that out.
also
1 - 1 = H
 

aeroguy

Senior member
Mar 21, 2002
804
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0


<< hah, my friend tried to make me beleive that 4 = 3:

4 = 3
(mutliply both sides by 0)
0*4 = 0*3
(gives you:)
0 = 0

therefore the entire statement is true, so 4 is the same as 3.......why does that work, i mean i see it's not impossible, but logicly that seems wrong
>>



Um, using that logic, everything is equal to everything else, and besides, you only proved that if you multiply both sides by zero, you get zero, which is right. To do a correct proof, you would need to end with 4 = 3, not start with it.