The Instigator
Jackie-Chan
Pro (for)
Losing
6 Points
The Contender
Yrael
Con (against)
Winning
60 Points

Two is equivalent to one.

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Voting Style: Open Point System: 7 Point
Started: 1/7/2008 Category: Science
Updated: 9 years ago Status: Voting Period
Viewed: 1,665 times Debate No: 1490
Debate Rounds (1)
Comments (6)
Votes (22)

 

Jackie-Chan

Pro

Let a = b.
Then a^2 = ab.
Subtract b^2 from both sides.
Then a^2-b^2=ab-b^2.
Use difference of squares.
(a+b)(a-b)=b(a-b)
Divide both sides by (a-b).
Then a+b=b.
Now let a=1, then b=1.
Substitute a=1 and b=1 into a+b=b.
Thus 2=1.
Yrael

Con

That would work amazingly..... except for one small flaw.

Who can remember back to grade school and tell me what the teacher said about dividing my 0? Oh... you can't. -.-

Therefor lets look at your logic line by line.

a = b (sure)

a^2 = ab (aight)

subtract b^2 from both sides

a^2 - b^2 = ab - b^2 (thats fine....)

use difference of squares

(a+b)(a-b) = b(a-b) (swell....)

divide both sides by (a-b)

oh wait..... we already defined a=b so what is this going to result in? (a-b) = 0? You can't divide by 0 therefor this step can never be done. So as an answer to your argument..... Under the laws of mathematics 2 does not equal 1.

In conclusion your equation has a domain of all real numbers providing that a does not equal b.
Debate Round No. 1
6 comments have been posted on this debate. Showing 1 through 6 records.
Posted by GBretz 9 years ago
GBretz
I remember seeing this exact argument in my geometry textbook.
Posted by stephenyoo1995 9 years ago
stephenyoo1995
However, Yrael said that under the "law of mathematics" 2 is not equla to 1. How eloquent a proof is that? It's like saying God does not exist because under the rule of cosmics, God does not exist. God forbid, people voted for him!!!
Posted by Descartes 9 years ago
Descartes
I can't believe that Jackie-Chan got any votes in this so called "debate". Yrael mathematically proved Jackie wrong (which means no ifs ands or buts). Some people need some math help?
Posted by FalseReality 9 years ago
FalseReality
Wow, this is amazingly enough absolutly pointless.
Posted by JustCallMeTarzan 9 years ago
JustCallMeTarzan
there's another problem... supposing for a moment you did in fact get rid of the (a-b) on both sides, you're left with (a+b) = b. Substitute, and you get (a+a) = a, which is clearly an impossibility for an a that is not zero.
Posted by Yrael 9 years ago
Yrael
Stop voting for yourself -.-
22 votes have been placed for this debate. Showing 1 through 10 records.
Vote Placed by Tatarize 9 years ago
Tatarize
Jackie-ChanYraelTied
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Vote Placed by GBretz 9 years ago
GBretz
Jackie-ChanYraelTied
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Vote Placed by Modus.Operandi 9 years ago
Modus.Operandi
Jackie-ChanYraelTied
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Vote Placed by jwebb893 9 years ago
jwebb893
Jackie-ChanYraelTied
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Vote Placed by Descartes 9 years ago
Descartes
Jackie-ChanYraelTied
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Vote Placed by stephenyoo1995 9 years ago
stephenyoo1995
Jackie-ChanYraelTied
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Vote Placed by DeATHNOTE 9 years ago
DeATHNOTE
Jackie-ChanYraelTied
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Vote Placed by jamie_l_2oo6 9 years ago
jamie_l_2oo6
Jackie-ChanYraelTied
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Vote Placed by Renzzy 9 years ago
Renzzy
Jackie-ChanYraelTied
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Vote Placed by SperoAmicus 9 years ago
SperoAmicus
Jackie-ChanYraelTied
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