2.
This is the proof:
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.
2006-09-19 02:14:26
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answer #1
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answered by menezes_dean 2
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3
2006-09-19 06:20:56
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answer #2
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answered by tronic_hobbist 2
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It Can be anything according to the situation
In Mathematics 1 + 1 is equal to 2;
IF u take a One protein and one atom and if u add them.. then the answer will be One..
If u take One potive charge and add to one negetive charge then the answer will be Zero
And If your answer is 2 in chemistry then the chemist may think that the answer is close to 2 like u can not the find the particle position exctly...
IF u take an ecomomist......... 1 + 1 is not qual to 2 bit it is more then to or close to 2..
Like this it depends on the wy of thinking at the question
2006-09-19 04:25:50
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answer #3
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answered by ashu 1
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In simple arithmetic
1+1 = 2.
In binary (base 2) system:
1 + 1 = 10
In Logical Operations, whenever "+" represents the "AND" operator:
1 + 1 = 1.
2006-09-19 04:21:08
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answer #4
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answered by K Sengupta 4
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In simple mathematics, it would be 2.
In binary operations, it would be 10.
In Yahoo! Answers, that would be 5 points to be wasted for asking such an easy question.
2006-09-19 07:50:52
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answer #5
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answered by whitelighter 4
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2?
2006-09-19 04:16:47
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answer #6
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answered by CeeCee 2
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if u start counting decimal number system.
0 - first
1 - second
2 - third
.
.
.
so on
so 1 + 1 is nothing but basic counting process one by one. so it would be third Decimal number. so the answer must be "2".
http://www.humonline.com/members/forum/pub_loginform.aspx
2006-09-19 04:49:08
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answer #7
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answered by Sant 2
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'1+1' is part of an equation. the addends.
2006-09-19 04:28:24
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answer #8
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answered by Laika 4
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i think ur a kid, maybe ur mom is teachig how to use yahoo answers not math.....cool.....oh forgot to answer ,the answer is 2
and 4+4=8 and 2x2=4 u must be the luckiest kid to go to y.a. (if ur a KID).
well u can choose me as best answers... :)
2006-09-19 05:30:47
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answer #9
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answered by I'll help you_now 3
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2, but how do you know that's so?
Anyone who answers "because my teacher told me" has given the wrong answer.
2006-09-19 04:17:58
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answer #10
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answered by Anonymous
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