I know, but I can't think of any concrete examples in normal space. - Edit 1
Before modification by Joel at 19/11/2010 05:43:36 PM
Since I love reminding positive atheists that every philosophy is predicated on at least one axiom, and thus rests on a foundation of "faith" in the general sense of the word. Usually I reference Euclids axiom that through any two points one and only one straight line can be drawn, or the faith we have in the scientific methods ability to reproduce the same results under the same conditions. Both these principles are so obvious they require no proof, which is fortunate, since none, to date, has been found.
There are non-Euclidean geometries as well
I'm told Einstein leans heavily on Riemann geometry for General Relativity (and perhaps alternative geometries like Riemanns make sense if gravity curves space-time) but until/unless we have a lot more experimental data on Relativity I'm not prepared to say it just LOOKS that way because we're missing something. Beyond that, sure, if you change an axiom you change everything built on it (in a way, that's the point) but if it's just an arbitrary change that creates a false statement it's just contrariness, not philosophy.
