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2006-10-31 16:55:53 · 11 answers · asked by shelly 2 in Science & Mathematics Mathematics

11 answers

1+1=x (say u dunno its2)
1=1/2
so 1/2+1/2+1/2+1/2= 4/2
which is 2
therefore 1+1=2

2006-10-31 20:46:51 · answer #1 · answered by little_devil 2 · 0 2

The proof starts from the Peano Postulates, which define the natural
numbers N. N is the smallest set satisfying these postulates:

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.

2006-11-01 00:58:31 · answer #2 · answered by Dovahkiin 7 · 0 0

a + a = 2a
so let a = 1
then 1 + 1 = 2*1
1+ 1 = 2 QED

2006-11-01 01:00:12 · answer #3 · answered by bibo 2 · 0 0

can you prove 1+1 doesnt equal 2?

2006-11-01 00:58:23 · answer #4 · answered by laura 4 · 0 0

2-1 = 1 therefore 1+1=2
it is a theorem

2006-11-01 00:59:33 · answer #5 · answered by Neo 2 · 0 0

For a strict mathematical proof you need to take a college course in Elementary Analysis, really. After 1 semester you've proven addition works. You have to show addition on integers is a Division Ring.

(that's all I remember, I took that course in 1971)

2006-11-01 01:00:31 · answer #6 · answered by RichardPaulHall 4 · 0 0

see your hands one on the left one on the right then count 1,,,2
then 1+1=2

2006-11-01 01:44:02 · answer #7 · answered by Anonymous · 0 0

One dollar plus one dollar equals 2 dollars. That's all the proof I need.

2006-11-01 01:00:58 · answer #8 · answered by blue_eagle74 4 · 0 0

yes
1+1=2 see if you take 1 finger and you take a nother finger and you add them together then yuo get 2
yay doesnt math suck??

2006-11-01 01:01:02 · answer #9 · answered by Anonymous · 1 1

No, but it help people to get things done. Just like English and German Etc. it was invented to get things done

2006-11-01 00:59:46 · answer #10 · answered by devsmash 2 · 0 1

thats wrong
1+1=(2 me you are stupid)

2006-11-01 01:17:39 · answer #11 · answered by Anonymous · 0 1

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