The Instigator
TheRussian
Pro (for)
Losing
0 Points
The Contender
UchihaMadara
Con (against)
Winning
8 Points

1 equals 2

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Post Voting Period
The voting period for this debate has ended.
after 2 votes the winner is...
UchihaMadara
Voting Style: Open Point System: 7 Point
Started: 8/17/2014 Category: Miscellaneous
Updated: 3 years ago Status: Post Voting Period
Viewed: 972 times Debate No: 60599
Debate Rounds (3)
Comments (14)
Votes (2)

 

TheRussian

Pro

I have previously debated that 2=3, and now I will debate that 1=2.

First Round is for acceptance.

Any questions will be answered in the comments.
UchihaMadara

Con

How fun! I was highly amused by your 2=3 debate, so hopefully this one will be good as well :)
Debate Round No. 1
TheRussian

Pro

It shall.

I thank my opponent for mustering the courage to accept such an unusual debate, and hope he has a good time.

Let's begin, shall we? I will be proving that 1=2.

We start with a very basic formula that just about everyone who has done algebra should know:
a^2-b^2=(a-b)(a+b)

Since variables can be any number, we can safely assume that for this scenario, a=b.
That being said, we can replace the "b"s with "a"s.
a^2-a^2=(a-a)(a+a)

Then, we can simplify the left side of the equation.
a(a-a)=(a-a)(a+a)

Notice, the two sides have remained equal this entire time.
As you can see, both sides of the equation have: (a-a)
This means that we can safely remove it, "cancel them out".
That leaves us with:
a=a+a
Which equals:
a=2a

Then, if you divide both sides by "a", you are left with:
1=2
UchihaMadara

Con

Interesting argument, Pro!


Pro's method of reaching 1 = 2 can be summarized as follows:






The main problem with this can be found in the following portion of that method:





In order to reach A = A + A, we have to divide both sides by (A-A) as shown below:





But... we then realize that (A - A) = 0
By substituting the (A - A)'s in the denominator with zeroes, we get the following:




Of course, this is the famous "divide by zero" error (http://www.mathsisfun.com...). It is an 'undefined' operation, and since it is an essential step in Pro's calculation, this renders Pro's method as a whole invalidated, thus negating the resolution.

The proper way to simplify this little set-up of Pro's would require going back up to the second step, realizing that both (A-A) and (A^2 - A^2) are equal to zero, and going from there:




As of now, Pro has not successfully shown that 1=2. The resolution is negated.
Good luck, Pro!

Debate Round No. 2
TheRussian

Pro

You are correct! Congrats!

You may now step into the Voting Period and claim your second victory!
UchihaMadara

Con

yay! thanks :P
Debate Round No. 3
14 comments have been posted on this debate. Showing 1 through 10 records.
Posted by TheRussian 3 years ago
TheRussian
no no, the original does equal out...it's just that after you take the square root, then the two sides are NOT equal....that's why I didn't show it and kinda skipped it like "well, then the -5/2" automatically cancels out" :P
Basically, if you write it out step by step, it will be unequal once you take the square root...
Posted by UchihaMadara 3 years ago
UchihaMadara
is it that 0.5 =/= -0.5 ?
Posted by TheRussian 3 years ago
TheRussian
Anyway, congrats! :)
Posted by TheRussian 3 years ago
TheRussian
Oh, haha, there's a much simpler problem with it :P
Posted by UchihaMadara 3 years ago
UchihaMadara
yes, i have haha

the answer is in here: http://www.purplemath.com...
Posted by TheRussian 3 years ago
TheRussian
On a side note, have you managed to figure out my 2=3 problem as well? :P
Posted by Boesball 3 years ago
Boesball
Con's argument is better, good job con!
Posted by UchihaMadara 3 years ago
UchihaMadara
i was thinking about making some more arguments along those lines, but i decided that the divide by zero one alone was enough.
Posted by ArcTImes 3 years ago
ArcTImes
Con already won with the division by zero problem.
Posted by 9spaceking 3 years ago
9spaceking
con could also make a good case that no number can equal two numbers, and if one equals 0.999....repeating, then one cannot equal 2
2 votes have been placed for this debate. Showing 1 through 2 records.
Vote Placed by 9spaceking 3 years ago
9spaceking
TheRussianUchihaMadaraTied
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Total points awarded:03 
Reasons for voting decision: pro conceded
Vote Placed by MrJosh 3 years ago
MrJosh
TheRussianUchihaMadaraTied
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Total points awarded:05 
Reasons for voting decision: Concession