Oh, and that 1+1 thing can be solved with 6'th grade mathemathics, you only have to think outside of frames a little bit. Its kind of mathematical joke, for nerds like you. Some may claim this method wrong, some may not, since it involves x and y which both are 1. Its just that x can be number of apples in your pocket and y can be number of apples in my pocket.
1) a and b, a=b
2)
a2=ab
3)lets do minus b2
a2-b2=ab-b2
4)a2-b2=ab-b2 > (a+b)(a-b)=b(a-b)
5)eliminate (a-b)
(a+b)=b
if a=b ja b=1, then 1+1=1