2.. lol only i was supposed to answer to get 10 points
2007-08-17 13:34:27
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answer #1
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answered by ? 4
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2
2007-08-18 17:33:43
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answer #2
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answered by n n 2
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It depends where you see it from. It could be 1 (proof), 2, 11, a couple, double OR
P1. 1 is in N.
P2. If x is in N, then its "successor" x' is in N.
P3. There is no x such that x' = 1.
P4. If x isn't 1, then there is a y in N such that y' = x.
P5. If S is a subset of N, 1 is in S, and the implication
(x in S => x' in S) holds, then S = N.
Then you have to define addition recursively:
Def: Let a and b be in N. If b = 1, then define a + b = a'
(using P1 and P2). If b isn't 1, then let c' = b, with c in N
(using P4), and define a + b = (a + c)'.
Then you have to define 2:
Def: 2 = 1'
2 is in N by P1, P2, and the definition of 2.
Theorem: 1 + 1 = 2
Proof: Use the first part of the definition of + with a = b = 1.
Then 1 + 1 = 1' = 2 Q.E.D.
Note: There is an alternate formulation of the Peano Postulates which
replaces 1 with 0 in P1, P3, P4, and P5. Then you have to change the
definition of addition to this:
Def: Let a and b be in N. If b = 0, then define a + b = a.
If b isn't 0, then let c' = b, with c in N, and define
a + b = (a + c)'.
You also have to define 1 = 0', and 2 = 1'. Then the proof of the
Theorem above is a little different:
Proof: Use the second part of the definition of + first:
1 + 1 = (1 + 0)'
Now use the first part of the definition of + on the sum in
parentheses: 1 + 1 = (1)' = 1' = 2 Q.E.D.
2007-08-17 20:42:38
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answer #3
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answered by Cister 7
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2
2007-08-17 20:35:09
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answer #4
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answered by Anonymous
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1+1 =2
lol
2007-08-17 20:36:53
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answer #5
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answered by Aeris 2
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11
2007-08-17 20:36:00
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answer #6
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answered by That'sINTENSE! 4
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3
2007-08-17 20:35:54
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answer #7
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answered by =) 2
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It is the sense of life, 1+1=3or more,if 1+1=2 then life on earth would not be possible.
2007-08-18 10:37:10
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answer #8
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answered by fast&furious 2
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It's 3, but only for very large values of 1.
2007-08-17 20:46:02
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answer #9
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answered by Anonymous
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1+1=2
Proof?
1+x=2
x=2-1
x=1 both numbers added together make 2
2007-08-18 13:27:14
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answer #10
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answered by quierounvaquero 4
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Two! As in the two free points I just gained by answering this super easy question!
2007-08-17 20:40:46
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answer #11
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answered by Redeemer 7
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