"For example, Euclidean geometry without the parallel postulate is incomplete; it is not possible to prove or disprove the parallel postulate from the remaining axioms."(adsbygoogle = window.adsbygoogle || []).push({});

http://en.wikipedia.org/wiki/Gödel's_incompleteness_theorems

The parallel postulate says that, if a line segment intersects 2 lines that both have angles less than 90 degrees, then those two lines must intersect.

http://en.wikipedia.org/wiki/Parallel_postulate

Why is it be impossible to prove this postulate? This seems intuitively obvious and seems like it would be very easy to prove on the basis of simply calculating the intersection point.

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# Godel again

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