I can hardly keep up, myself, but the bits that shine through are still interesting, so thanks.
I'm more fascinated with the fact that infinity is an actual concept that can be proven, if only in mathematics, even if it seems simple on its face. I do wonder what it says about reality, though, if anything. Where does the similarity between math and real world break down? Are we biased to accept mathematic reasoning? Is it a self justifying explanation of the world where another one would work just as well or better? Granted, I'm not a mathematician by any stretch, not even amateurishly, so these questions might very well sound like nonsense to those of you that are better acquainted with the subject. If so, then I apologize in advance for my naivete.
I'm more fascinated with the fact that infinity is an actual concept that can be proven, if only in mathematics, even if it seems simple on its face. I do wonder what it says about reality, though, if anything. Where does the similarity between math and real world break down? Are we biased to accept mathematic reasoning? Is it a self justifying explanation of the world where another one would work just as well or better? Granted, I'm not a mathematician by any stretch, not even amateurishly, so these questions might very well sound like nonsense to those of you that are better acquainted with the subject. If so, then I apologize in advance for my naivete.