The point of mathematical proofs isn't really to convince people psychologically that something is true -- it's to show why something is true. Do you really kn

The point of mathematical proofs isn't really to convince people psychologically that something is true -- it's to show why something is true. Do you really know "why" 0.99.. = 1 by writing 0.99... = 3 * (0.33...) = 3 * 1/3 = 1 ? I'd argue that you just kicked the can down the road.