Lack of faith is not a kind of faith
Posted Aug 20, 2012 9:07 UTC (Mon) by hppnq
In reply to: Lack of faith is not a kind of faith
Parent article: Garzik: An Andre To Remember
But that doesn't affect any geometry theorems operating in our familiar boring Euclidean space.
Unfortunately, of course, our familiar space is not Euclidian. Well, mine isn't.
But, given a nicely-behaved Euclidian space, the challenge would be to prove that there can be at most one line through a point that is not on a second, parallel line. Now, that's hard enough even for aspiring mathematicians, but if you could prove that it is possible to actually draw two or more such lines, it would most certainly mean the end of Euclid's famous fifth postulate, and with that all of Euclidian geometry, not to mention the start of a hectic tour of talkshows in which you would have to patiently explain that you cannot explain what it all means.
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