I just watched the Veritasium's video where he talks about Axiom of choice and countable/uncountable infinities.
I wonder if something is infinitely large, why do we even say that it "exists" ? Existence is a very physical phenomenon where everything is measurable, finite in its span finite in its lowest division.
Why do we try to explain the concepts including infinity using physical concepts like number of balls, distance, etc. ? I'm including distance also, which even appears to be a boundless dimension but the (observable) space is finite and the lowest possible length is also finite(planck's length).
As such, Doesn't the mistake lie in modelling these theoretical concepts of infinitely large/small scales with physical entities ?
Or, am I wrong ?