how many times do you make the same mistake before you stop making it?

This of course assumes you are analyzing your games

Too much to count

I am literally a groundhog.

what's the number after 'infinite'?

I don't know, but so far I'm up to 152.

my parents had another kid after me so... at least twice

The number of similar mistakes I make are still going up and counting.

Infinity and beyond

Aleph-Null

also i never stop making the same mistake B)

Aleph null is the smallest infinite cardinality, thus it is not "after infinite", rather it is the "first infinite".

i thought it was the first smallest after infinity, my bad

No problem, now you know and you will probably always get it right.

Mathematics gets weird when you ask "what is the smallest cardinality bigger than aleph-null?". Or, more precisely, "is the size of the set of all sets of integers the second infinite cardinal?"

With some choices of axiom (eg Zermelo-Fraenkel set theory) this is undecideable.

So you can assume as an additional axiom. Or you can assume it is false as an additional axiom.

With other choices of axiom (eg constructive set theory) it is a theorem.

Perhaps not a bad reason to prefer constructive set theory.

(Hope I have all that right, it's from memory )