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Name: Anonymous 2011-05-23 0:34

can someone explain them to me.. I'm thinken they might be simple but my pee sized brain can't comprehend most definitions off of google

Name: >>102 2011-05-23 5:45

>>107
Zermelo and Fraenkel did invent ZF(C) set theory. I have no idea what nationality Cantor was, but let me check... Zermelo was german, Fraenkel was the nationality that you don't seem to like.
As for Cantor, it's unclear:
Thus Cantor has been called Jewish in his lifetime,[68] but has also variously been called Russian, German, and Danish as well.

Anyways, I've actually read Cantor's work after all your trolling and I have to say it's pretty interesting. There's a few rather artificial looking axioms in ZF that let him construct the higher infinites (aleph-naught, aleph-1, and so on), but it's unclear how consistent ZF set theory is as there are some paradoxes, but there are better fundational theories which manage to avoid these paradoxes.

In the end, I did find it enlightening to find out that if you do accept one infinity (that of natural numbers) as a concrete value, then there are an infinity of infinities that can also exist (the next one would be that of real numbers, but that cannot be proven or disproven (Continuum hypothesis), which probably suggests the inconstency of the entire concept). It's a very interesting abstract concept to think of, even if it has no practical application and is highly likely to be impossible to physically realize it (same with hypercomputation or real numbers in physical systems, despite so many physical theories having them), even if you think the cause of the world is something similar to the Ultimate Ensemble (that is, it's unlikely these mathematical systems are consistent and thus they cannot ever have a physical instantiation somewhere, but if you assume so, you'll have to discard current string theory if it doesn't have quantized spacetime and go in the direction of Loop Quantum Gravity instead).

Oh dammit, IHBT, fell for the troll I told others not to fall for.

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