(December 23, 2013 at 4:02 am)rasetsu Wrote:(December 23, 2013 at 3:53 am)là bạn điên Wrote: Christians never fail to impress me with their utter lack of logic and ability to use non sequiters. Esquilax is right about axioms. Axioms must be self evident.
That's not technically correct. I'd also dispute the validity of cogito ergo sum, but these are fine points. Insisting that axioms be self-evident would appear to be a form of foundationalism. There's nothing that requires an axiom to be self-evident, and many useful axioms aren't (this crops up a lot in mathematics).
No, you are right, I only briefly looked at Philosophy of mathematics and remembering back maths does have non self evident axioms. However I am essentially a foundationalist ,though more of Goldman's reliablism. I have absolutely no time for Post Modernism/Rorty/Derrida etc.