are you gonna be around long enough to imagine it? to simply speculate? just in case it don't matter anyway? it does get recorded on your permanent record.

what might make infinities distinct?

@hankster Set theory.
[en.wikipedia.org]

@hankster I read there's a proof that all infinities are the same size but it's on the internet and requires a full investigation of the proof, if true then.. well lets see.
For example the entire set of all integers is infinite, so are the entire set of all prime numbers, intuition says the infinity of integers is greater than the infinity of prime numbers.
So I'm doubting this new proof. It implies there are as many primes as there are integers.

@hankster I sit around and worry about time and space and it takes me to strange places.

@Willow_Wisp i suppose its a bit beyond me, but scale seems relevant tho size does not. anyway, happy worrying.

@Willow_Wisp An even simpler one. The entire set of all integers is infinite, so is not the entire set of integer with the fraction of tenths between them, ten times larger.

And are the integers part of nature, and therefore a discovery, or are they a human cultural invention, and therefore not real. Since the integers are a system of labels we have given to things. ( If I own a sheep, I have one, if I get another sheep I call that two etc. ) And since the universe is probably finite, as is the number of atomic particles within it, is therefore infinity, just a failing of human modeling.

@Fernapple mathematics is just a tape measure. it don't make the house stand or fall. purely a human invention. it can be used to describe a truth or a fiction.

@hankster I apply that to all of human culture too.