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Aren't there numbers past (plus/minus) infinity? Last I hear there's some omega stuff (for denoting numbers "past infinity") and it's not even the usual alpha-beta-omega flavour.
Come to think of it, is there even a notation for "the last possible number" in math? aka something that you just can't tack "+1" at the end of to make a new number?
What you're probably thinking of is Ordinal numbers.
As for your second question, I don't think any "last number" could exist unless we explicitly declared one. And even then... I'm not sure what utility there would be in declaring a "last number".
I mean, whoever gets to declare a "last number" that works certainly will get some bragging rights. After all, you can only ever declare one.
...Right?
(I know math is very weird)