(07-06-2021, 02:22 AM)Brandon Gwinn Wrote: No matter how many infinities are within however many infinites, it's all still part of the one ultimate infinity. That's just the way I see things. To each their own.

That was my view too. But then I realized that there can't be infinities within infinities! It's a radical shift of perspective. For example I used to think that there are infinitely many numbers. With the new perspective there is only a transfinite number of numbers. By transfinite I here mean that there is an infinite potential yet that potential will never be fully exhausted.

My reasoning is that infinity cannot contain infinities because that would make it more than one infinity. I got the idea from this answer by Ra: "That which is infinite cannot be many, for many-ness is a finite concept. To have infinity you must identify or define that infinity as unity; otherwise, the term does not have any referent or meaning." (1.7)