Dalehileman wrote:Infinity as a completed situation would actually render it finite, no matter how huge the set.I presume you’re envisioning a continuous expansion with the creation of new matter. And then of course it wouldn’t ever be infinite. However if it goes on forever, eventually you’ll begin to get essentially identical galaxies, very troubling to the old Intuition
Max Tegmark introduced that as a "Level 1" type of multiverse in a 2003 Scientific American article titled "Parallel Universes". But I'm not addressing that possibility either way, since he at least admitted at one point that the universe only needed to be "sufficiently large" rather than infinite in a contradictory manner (as in being a closed quantity or completed condition right now or at at any time). "Sufficiently large" is still finite. My only point was that if infinity is reified as some kind of concrete, phenomenal, or physical circumstance -- then the qualification for that being referred to as such should be based on it concerning a perpetually developing "more" over time. If an unknown fixed value or closed/completed situation is implied, no matter how mind-bogglingly large, then it is accordingly finite instead of infinite.