Here is a mathematical proof I came over during my eleventh grade in the year 1996.
Let x be the biggest real number below 1:
x < 1 => 1-x > 0 => 1/(1-x) > 0 => 2/(1-x) > 0 => 0 < (1-x)/2 => x < x + (1-x)/2
since x is the biggest real number below 1, we may conclude
(x < ) 1 <= x + (1-x)/2 (between x and 1 there is no real number) => 1-x < = (1-x)/2 => 1/(1-x) >= 2/(1-x) => 1 >= 2 => 1 > 2 or 1 = 2 q.e.d.
Since 1 is surely not any larger than 2 we may follow that 1 must be equal to 2. That said, the whole mathematics need to be renewed. Since 1+1=2 we can now follow that 2+2=1, since both are interchangeable. Therefore we just have to deal with ones for all positive numbers. Everything is equal to one, just as I proofed.
Now, you can either stick to believe me on this proof and help me in re-defining the mathematics field, or you can challenge the proof that I just showed you. So, either you have to forget everything you learned about calculations in the past 20 (or so) years, or you can start to investigate the flaws of this proof.
It’s the same with other, not so obvious things in our lives. You can either start to believe the evidence you get presented, or start to challenge it, or to challenge it, or maybe to challenge it, or just to challenge it, or even stick with challenging it. Take your pick.