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

Two is the same as 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: 1,198 times Debate No: 1488
Debate Rounds (1)
Comments (5)
Votes (7)

 

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.
DoubtingThomas

Con

The problem comes with the seventh line:

"Divide both sides by (a-b)"

It is given that a=b. Thus, we can show by substitution that the second line is equivalent to dividing by (a-a). (a-a) is obviously equal to zero, and division by zero is undefined. Thus, the proof is invalid.
Debate Round No. 1
5 comments have been posted on this debate. Showing 1 through 5 records.
Posted by ww54ww 9 years ago
ww54ww
WOW! Typo after typo in your argument. Gosh. You should clarify that this proof can be proven correct by utilizing the Mandelbrot Set and graphing a fractal chaos.
(\_/)
(='.'=)RABBIT POWER!!!
( () () )
Posted by solo 9 years ago
solo
Poh-tay-toe, poh-tah-toe... whatever.
Posted by DoubtingThomas 9 years ago
DoubtingThomas
No, my argument wasn't wrong. I made a typo. Sheesh.
Posted by solo 9 years ago
solo
So your argument was wrong? And now you're correcting it in the comments. I see. Nothing hypocritical about doing that, I guess, huh?
Posted by DoubtingThomas 9 years ago
DoubtingThomas
When I said "second line", I meant "seventh", sorry.
7 votes have been placed for this debate. Showing 1 through 7 records.
Vote Placed by Tatarize 9 years ago
Tatarize
Jackie-ChanDoubtingThomasTied
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Vote Placed by stephenyoo1995 9 years ago
stephenyoo1995
Jackie-ChanDoubtingThomasTied
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Vote Placed by cjet79 9 years ago
cjet79
Jackie-ChanDoubtingThomasTied
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Vote Placed by qwerty15ster 9 years ago
qwerty15ster
Jackie-ChanDoubtingThomasTied
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Vote Placed by DoubtingThomas 9 years ago
DoubtingThomas
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Vote Placed by solo 9 years ago
solo
Jackie-ChanDoubtingThomasTied
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Vote Placed by Cindela 9 years ago
Cindela
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