RE: Actual Infinity in Reality?
February 14, 2018 at 9:22 pm
(This post was last modified: February 14, 2018 at 9:39 pm by GrandizerII.)
Steve, it doesn't work this way. If you see something is not logical, the burden is on you to show that it is not.
And no, forget Hilbert's Hotel because all it demonstrates is that we're not dealing with a number, but rather with several concepts that we mistakenly refer to as the same thing but are not. The infinity encompassing all positive integers is not the exact same as the infinity encompassing all even positive integers, and definitely not the same as the infinity of all real numbers (which remarkably is greater in size than countably infinite sets).
So it's not like you have shown that infinity is self-contradicting, but that infinity is used as the same label for multiple concepts. And that is why with your misleading handpicked equations (assuming they were even correct and derived logically from the problem described), we get results that don't occur when we're doing numbers instead.
And no, forget Hilbert's Hotel because all it demonstrates is that we're not dealing with a number, but rather with several concepts that we mistakenly refer to as the same thing but are not. The infinity encompassing all positive integers is not the exact same as the infinity encompassing all even positive integers, and definitely not the same as the infinity of all real numbers (which remarkably is greater in size than countably infinite sets).
So it's not like you have shown that infinity is self-contradicting, but that infinity is used as the same label for multiple concepts. And that is why with your misleading handpicked equations (assuming they were even correct and derived logically from the problem described), we get results that don't occur when we're doing numbers instead.
