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# 1 + 1 is 2

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after 3 votes the winner is...
JGHOSTBOY
 Voting Style: Open Point System: 7 Point Started: 8/4/2013 Category: Miscellaneous Updated: 3 years ago Status: Post Voting Period Viewed: 1,120 times Debate No: 36367
Debate Rounds (2)

 Con First round is acceptance only.Report this Argument Pro I accept. Report this Argument Con I am arguing that 1+1 isn't 2. I would like to thank my opponent for accepting this debate 1+1 is not 2. This is proven by mathematics when written in binomial base where 1 + 1 is 10 because there is no such number as two in binomial terms. Another case for this is in base 1 formatting. where there is no number 1 so therefore the equation 1 + 1 = 2 doesn't even exist! Through these cases i would like you to vote affReport this Argument Pro For all proofs, a set of axioms is required to draw justified conclusions. For natural numbers, this framework is called the Peano Axioms:1. 0 is a natural number.2. For every natural number x, x = x. 3. For all natural numbers x and y, if x = y, then y = x. 4. For all natural numbers x, y and z, if x = y and y = z, then x = z. 5. For all a and b, if a is a natural number and a = b, then b is also a natural number. 6. For every natural number n, S(n) is a natural number.7. For every natural number n, S(n) = 0 is false. 8. For all natural numbers m and n, if S(m) = S(n), then m = n.9. If K is a set such that: 0 is in K, and for every natural number n, if n is in K, then S(n) is in K, then K contains every natural number.In this system, the numbers 1 and 2 are symbols, whose arithmetic form is: S(0) and S(S(0)). Addition is defined inductively, that is:x + 0 = x + S(y) = S(x + y)Thus,1 + 1 = 1 + S(0) = S(1 + 0) = S(1)Substitute 1 with S(0),S(0) + S(0) = S(S(0) + 0) = S(S(0)) Hence, 1 + 1 = 2 Q.E.D. Report this Argument
5 comments have been posted on this debate. Showing 1 through 5 records.
Posted by Philophile 3 years ago
1 + 1 = 11 duh.
Posted by JGHOSTBOY 3 years ago
For those who may have been confused by the " between the terms in the comment below, " means 'multiply'
Posted by JGHOSTBOY 3 years ago
To both PBJS and voters, I would like to point out to those without much mathematical knowledge that a "Binomial Base" is not an actual concept. In fact, the only correlation that 1 + 1 has with Binomials is its expression in the Binomial Theorem. To rewrite 1 + 1,

(1 + 1)^1 = 1 + 1 = [(1!/0!(1-0)!)1^1 " 1^0] + [(1!/1!(1-0)!)1^0 " 1^1] = [1"1"1] + [1"1"1] = 1 + 1 = 2

Please note that zero factorial, denoted as 0!, is equal to 1 and 1^0 is equal to one.

Thus, I could not create a logical rebuttal against PBJS's argument because it was not mathematically valid whatsoever. So, I simply entered my arithmetic proof of 1 + 1 = 2 as my argument.
Posted by JGHOSTBOY 3 years ago
That comment makes no sense, could you please reiterate?
Posted by PBJS 3 years ago
Think of the computers who speak binomial.
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