The Instigator
Cindela
Pro (for)
Winning
33 Points
The Contender
Idontcare
Con (against)
Losing
32 Points

1 does not equal 2

Do you like this debate?NoYes+0
Add this debate to Google Add this debate to Delicious Add this debate to FaceBook Add this debate to Digg  
Vote Here
Pro Tied Con
Who did you agree with before the debate?
Who did you agree with after the debate?
Who had better conduct?
Who had better spelling and grammar?
Who made more convincing arguments?
Who used the most reliable sources?
Reasons for your voting decision
1,000 Characters Remaining
The voting period for this debate does not end.
Voting Style: Open Point System: 7 Point
Started: 1/15/2008 Category: Education
Updated: 9 years ago Status: Voting Period
Viewed: 5,480 times Debate No: 1806
Debate Rounds (2)
Comments (9)
Votes (17)

 

Cindela

Pro

1=2 is a mathematically incorrect statemtent. I challenge anyone to prove otherwise.

For instance, you might say:
a=b
a^2=ab
a^2-b^2=ab-b^2
(a+b)(a-b)=b(a-b)
a+b=b
If a and b =1
1+1=1
2=1

This is a proof that I have seen all over this site. THIS PROOF IS INCORRECT!!!
If a=b, then in the 4th line, when you divide by (a-b), you are really dividing by 0, and that goes against the rules of math.

I CHALLENGE SOMEONE TO PROVE ME WRONG. I CHALLENGE SOMEONE TO PROVE THAT 1=2.
Idontcare

Con

Step 1; a and b > 0
Step 2: a = b
Step 3: a2 = ab
Step 4; a2 - b2 = ab - b2
Step 5: (a + b)(a - b) = b(a - b)
Step 6: (a + b) = b
Step 7: b + b = b
Step 8: 2b = b
Step 9; 2 = 1
ha 1=2
Debate Round No. 1
Cindela

Pro

First off, I want to thank Idontcare for accepting this debate as his first one on this site *applause*. I shall now proceed and rip apart your proof *bows*
This is my opponent's proof:

Step 1; a and b > 0
Step 2: a = b
Step 3: a2 = ab
Step 4; a2 - b2 = ab - b2
Step 5: (a + b)(a - b) = b(a - b)
Step 6: (a + b) = b
Step 7: b + b = b
Step 8: 2b = b
Step 9; 2 = 1
ha 1=2

In step 5, by dividing by (a-b), you are dividing by zero, something that is not allowed in math. If a=b, then if you subtract one from the other, you get zero. It is a well known mathematical fact that you CANNOT, I repeat, CANNOT divide by zero. Dividing by zero will only give you an undefined answer.

For instance, let us say that a=5. Therefore, according to step 2, b=5. Right?
If we plug a=b=5 into step 5, we get the following:
(5+5)(5-5)=5(5-5)

If we divide by (5-5), like my opponent did, we get the following:

[(5+5)(0)]/0=[5(0]/0

THIS IS WRONG. YOU CANNOT DIVIDE BY ZERO.

THANK YOU
Idontcare

Con

with all honesty i knew that...... so do the rest of us and i just wanted to get this debate off the table we all know 1 cant equal two (Rolls eyes)
Debate Round No. 2
9 comments have been posted on this debate. Showing 1 through 9 records.
Posted by Idontcare 9 years ago
Idontcare
Where has the world come to if we can't admit we were wrong?
Posted by padfo0t 9 years ago
padfo0t
Idontcare is a bad debater... admitting you where wrong???
Posted by beem0r 9 years ago
beem0r
When you prove something, it is the final result. If you start with a valid equation, and do any valid operations to both sides, you will still have a valid equation. This is not true the other way around - you can arrive at a correct equation even if you started with a bad one. This is because a function does not have multiple Y-values for the same X-value, but it can have the same X-value for the same Y-value. (performing operations on each side of an equation is like making a function). Since you're trying to prove the thing at the beginning, you're not actually proving it, since you use functions that can't be written as functions of Y (y=x^2, to be exact)
Posted by Thoreau 9 years ago
Thoreau
In step 3, you assume that a(b) = a2. This is untrue, as the result of your equation shows, because you haven't proved that a = b yet, merely assumed that it was true. a cannot equal b, because if you assume that the two are equal, your result is that 2 = 1.

Also, if your proof allows 2 to equal 1, you have done your proof wrong. We know this because math is a perfect system, and so it cannot be flawed.
Posted by zarul 9 years ago
zarul
Well beemor, I followed all the rules of algebra. Sqauring is perfectly fine if you do it to both sides.

On the other hand, I am assuming that 1 = 2 from the very beginning, which, is generally assumed not to be true.
Posted by padfo0t 9 years ago
padfo0t
Why does anyone care if 1 equals 2? What is the big deal. We all know that if one of us where to say. 7-5=1, then we would all sound stupid.
Posted by beem0r 9 years ago
beem0r
za, there are two _different_ square roots for any number. 1 does not equal -1, nor does -1000 equal 1000. True, squaring them yields the same result. But they are not equal.
Posted by zarul 9 years ago
zarul
How does this look? Although I guess I'm supposing that one equals two in the first place.

1 = 2
-1 -1
________

0 = 1
-.5 -.5

________

(-.5 = .5) ^ 2
________

.25 = .25
Posted by Debater2008 9 years ago
Debater2008
You could have just said 1x5 is 5, whereas 2x5 is 10 so one and two are not the same. People who are saying that 1 and 2 are the same are only speaking in relation to this particular theorem, but they do not state that so it's easy to prove them wrong.
17 votes have been placed for this debate. Showing 1 through 10 records.
Vote Placed by studentathletechristian8 7 years ago
studentathletechristian8
CindelaIdontcareTied
Agreed with before the debate:--Vote Checkmark0 points
Agreed with after the debate:--Vote Checkmark0 points
Who had better conduct:Vote Checkmark--1 point
Had better spelling and grammar:Vote Checkmark--1 point
Made more convincing arguments:Vote Checkmark--3 points
Used the most reliable sources:--Vote Checkmark2 points
Total points awarded:50 
Vote Placed by padfo0t 9 years ago
padfo0t
CindelaIdontcareTied
Agreed with before the debate:-Vote Checkmark-0 points
Agreed with after the debate:-Vote Checkmark-0 points
Who had better conduct:-Vote Checkmark-1 point
Had better spelling and grammar:-Vote Checkmark-1 point
Made more convincing arguments:-Vote Checkmark-3 points
Used the most reliable sources:-Vote Checkmark-2 points
Total points awarded:07 
Vote Placed by sagarous 9 years ago
sagarous
CindelaIdontcareTied
Agreed with before the debate:-Vote Checkmark-0 points
Agreed with after the debate:-Vote Checkmark-0 points
Who had better conduct:-Vote Checkmark-1 point
Had better spelling and grammar:-Vote Checkmark-1 point
Made more convincing arguments:-Vote Checkmark-3 points
Used the most reliable sources:-Vote Checkmark-2 points
Total points awarded:07 
Vote Placed by burningpuppies101 9 years ago
burningpuppies101
CindelaIdontcareTied
Agreed with before the debate:Vote Checkmark--0 points
Agreed with after the debate:Vote Checkmark--0 points
Who had better conduct:Vote Checkmark--1 point
Had better spelling and grammar:Vote Checkmark--1 point
Made more convincing arguments:Vote Checkmark--3 points
Used the most reliable sources:Vote Checkmark--2 points
Total points awarded:70 
Vote Placed by Issa 9 years ago
Issa
CindelaIdontcareTied
Agreed with before the debate:--Vote Checkmark0 points
Agreed with after the debate:--Vote Checkmark0 points
Who had better conduct:--Vote Checkmark1 point
Had better spelling and grammar:--Vote Checkmark1 point
Made more convincing arguments:Vote Checkmark--3 points
Used the most reliable sources:--Vote Checkmark2 points
Total points awarded:30 
Vote Placed by Pluto2493 9 years ago
Pluto2493
CindelaIdontcareTied
Agreed with before the debate:--Vote Checkmark0 points
Agreed with after the debate:--Vote Checkmark0 points
Who had better conduct:--Vote Checkmark1 point
Had better spelling and grammar:--Vote Checkmark1 point
Made more convincing arguments:-Vote Checkmark-3 points
Used the most reliable sources:--Vote Checkmark2 points
Total points awarded:03 
Vote Placed by Tatarize 9 years ago
Tatarize
CindelaIdontcareTied
Agreed with before the debate:--Vote Checkmark0 points
Agreed with after the debate:--Vote Checkmark0 points
Who had better conduct:--Vote Checkmark1 point
Had better spelling and grammar:--Vote Checkmark1 point
Made more convincing arguments:-Vote Checkmark-3 points
Used the most reliable sources:--Vote Checkmark2 points
Total points awarded:03 
Vote Placed by indicolts 9 years ago
indicolts
CindelaIdontcareTied
Agreed with before the debate:--Vote Checkmark0 points
Agreed with after the debate:--Vote Checkmark0 points
Who had better conduct:--Vote Checkmark1 point
Had better spelling and grammar:--Vote Checkmark1 point
Made more convincing arguments:-Vote Checkmark-3 points
Used the most reliable sources:--Vote Checkmark2 points
Total points awarded:03 
Vote Placed by sdcharger 9 years ago
sdcharger
CindelaIdontcareTied
Agreed with before the debate:--Vote Checkmark0 points
Agreed with after the debate:--Vote Checkmark0 points
Who had better conduct:--Vote Checkmark1 point
Had better spelling and grammar:--Vote Checkmark1 point
Made more convincing arguments:-Vote Checkmark-3 points
Used the most reliable sources:--Vote Checkmark2 points
Total points awarded:03 
Vote Placed by aredcard4u 9 years ago
aredcard4u
CindelaIdontcareTied
Agreed with before the debate:--Vote Checkmark0 points
Agreed with after the debate:--Vote Checkmark0 points
Who had better conduct:--Vote Checkmark1 point
Had better spelling and grammar:--Vote Checkmark1 point
Made more convincing arguments:-Vote Checkmark-3 points
Used the most reliable sources:--Vote Checkmark2 points
Total points awarded:03