Veeky Forums please prove to me 2+2 = 4 in the most complex way possible
Veeky Forums please prove to me 2+2 = 4 in the most complex way possible
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0.999999....=1
2(0.9...)+2(0.9...)=4
(2 + 0i) + (2 + 0i) = 4 + 0i
2+2 = 2(2) = 2^2 = 4
define 1=n+1
define 2=n+2
define 3=n+3
continue indefinitely
....
0=0 is trivially true
birds are crackers
4=n+4
2=n+2
multiply by 2
2=2n+2
move 2 to the other side
2-2=2n
divide by n
(2-2)/n = 2
from 2=n+2 2-2=n
so (2-2)/n= n/n=1
1=2
add 2 to both sides
1+2=4
but from the previous proposition, 1=2
so
2+2=4
QED
Let's use Peano axioms of addition
a+0=a (1)
a+S(b) = S(a+b) (2)
recursively define
1=S(0)
2=S(1)
3=S(2)
...
Now comes the proof
2+2=2+S(1)=S(2+1)=S(2+S(0))=S(S(2+0))=S(S(2))=S(S(S(S(0)))) which is 4 by definition of 4
2+2 is 4, minus 1 that's 3 quick maffs
Haha Fuck you, build better one.
...
Is that using Dedekind's axioms?