The Instigator
PBJS
Con (against)
Losing
0 Points
The Contender
JGHOSTBOY
Pro (for)
Winning
6 Points

1 + 1 is 2

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Post Voting Period
The voting period for this debate has ended.
after 3 votes the winner is...
JGHOSTBOY
Voting Style: Open Point System: 7 Point
Started: 8/4/2013 Category: Miscellaneous
Updated: 4 years ago Status: Post Voting Period
Viewed: 1,194 times Debate No: 36367
Debate Rounds (2)
Comments (5)
Votes (3)

 

PBJS

Con

First round is acceptance only.
JGHOSTBOY

Pro

I accept.
Debate Round No. 1
PBJS

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 aff
JGHOSTBOY

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.
Debate Round No. 2
5 comments have been posted on this debate. Showing 1 through 5 records.
Posted by Philophile 4 years ago
Philophile
1 + 1 = 11 duh.
Posted by JGHOSTBOY 4 years ago
JGHOSTBOY
For those who may have been confused by the " between the terms in the comment below, " means 'multiply'
Posted by JGHOSTBOY 4 years ago
JGHOSTBOY
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 4 years ago
JGHOSTBOY
That comment makes no sense, could you please reiterate?
Posted by PBJS 4 years ago
PBJS
Think of the computers who speak binomial.
3 votes have been placed for this debate. Showing 1 through 3 records.
Vote Placed by funwiththoughts 4 years ago
funwiththoughts
PBJSJGHOSTBOYTied
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Reasons for voting decision: Just because 1+1=10 doesn't mean it isn't 2, and Con did not show that it did.
Vote Placed by JustinAMoffatt 4 years ago
JustinAMoffatt
PBJSJGHOSTBOYTied
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Reasons for voting decision: The resolution was "1+1 is 2" Pro showed that 1+1 is, in fact, 2. Con showed that 1+1 could be 10, but not that it isn't 2. Next time, let's make it more rounds. Clash is the purpose of debate, rather than stating your opinion and hoping more people favor it than your opponent's.
Vote Placed by Ragnar 4 years ago
Ragnar
PBJSJGHOSTBOYTied
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Reasons for voting decision: Neither side distinguished their argument as better than the other. Pro would have probably won by default, if he had actually refuted anything at all (as opposed to just ignoring it).