Quote (bentherdonethat @ May 12 2012 07:44pm)
I know there are more real numbers than there are integers, but are there more complex numbers than there are reals? I would say there probably are, but they're both uncountably infinite sets of numbers. So I don't have the mathematical background to find out, nor do I have the actual level of care required to Google it that much.
There are the same number of real numbers as complex numbers.
The complex numbers are basically a plane, so |C| = |RxR| = |R| (finite cartesian products don't change cardinality)
The wording of "more numbers" gets very confusing when talking about infinite sets lol.
I still remember back when I first learned how to prove that .9999999(repeating) = 1... that's when infinities first started fascinating me.
Quote (Murphy16 @ May 12 2012 08:12pm)
I mean exactly what I said. Ultimately they are right, that every question in the world can be traced back to God making it possible, but that's like responding to a question like "Why did Hitler start the Holocaust?" with "Because his mother and father fucked a few decades before." They aren't wrong, but it's just too general of an explanation.
I think if you want to try to lure someone of faith into some trap you created while smoking pot and had a "light bulb" moment, you should take some heavier drugs to help yourself become more creative first.
I think it was alcohol not pot.