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It may sound somewhat paradoxical, but we are going to crumble the foundations of mathematics by demonstrating that 1 + 1 is equal to 3.
We begin with an unquestionable equality:
We add both members of equality the same amount:
We can transform the previous expression into:
If we look, we see that we have on both sides the result of squareing a binomial, so we can simplify:
If we extract the square root of both members we have that:
Or what is the same
How is it possible?
The error is that of the expression:
It was deduced that
Although the squares are the same, the first powers are not identical, for example:
but -5 is not equal to 5.