1 plus 1 equals 2
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Voting Style:  Open  Point System:  7 Point  
Started:  4/1/2016  Category:  Philosophy  
Updated:  1 year ago  Status:  Post Voting Period  
Viewed:  457 times  Debate No:  89075 
Debate Rounds (4)
Comments (3)
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Resolved: 1+1=2.
Let x=1 and y=2, then x+y=3 Multiply each side by 2x3: (2x3)(x+y)=(2x3)(3) 2x^23x+2xy3y=6x9 Add 3y3x to both sides: 2x^23x+2xy3y+(3y3x)=6x9+(3y3x) 2x^26x+2xy=3x+3y9 Factor both sides: 2x(x+y3)=3(x+y3) Divide both sides by (x+y3): 2x=3 But then: x+x=3 with x=1 Therefore: 1+1=3 

There are a number of problems with your proof. Firstly,at the beginning of your proof, you accept that 1+2=3 is a given.
If 1+2 = 3, how could 1+1=3? The only answer to this question is that 1 is interchangible with 2, and this is clearly not the case.
Well, if 1+1=3 and 1+2=3 can't both be true then; 3^0=1 and 4^0=1 can't both be true using your argument. Just like any number raised to the 0 is 1, 1 plus any number is 3. I can prove this like this; 1+1=3 So, 1=31 1=2 12=22 1=0 (1)15=(0)15 You can change the 15 to something else for the rest of the proofs 15=0 1515=015 0=15 0+1=15+1 1=14 1+17=14+17 Therefore, 1+17=3 

First of all, in argument 1, you divided by (x+y3). If you substitute the values x = 1, y = 2, which are accepted as givens, then you'll see that x+y3 = 1+23, which equals zero. Dividing by zero is not allowed. Second, your second article is terribly constructed, irrelevant and, mathematically incorrect. Why? Firstly, you assume 1+1=3, which you haven't proven, see earlier in my argument (dividing by zero). Secondly, please clarify your proof, as it seems to me that you went from 1 = 0 to 15 = 0, and I can't figure out how you got there. Thirdly, I can prove that 4^0 = 3^0 using mathematical fact.
Okay, you proved that 1+1 does not equal 3. But you proved that 1+1 is undefined; since dividing by 0 is undefined. And, if 3^0=1 and 4^0=1 is correct that your 2nd round argument is invalid. 

How is my second round argument invalid?
And how did you get from 1 = 0 to 15 = 0? I close by saying this: My opponent has not offered a single sound mathematical proof. Any sensible person can see he is wrong.
Okay, you've proved that my argument from round 2 since the end of my round 1 argument is invalid. But, when I divided by 0 during my round 1 argument I made a valid mathematical proof that 1+1 is undefinednot 2. 
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undefined, x is no answer