How fast is Rickey? Rickey is so fast that he can steal more bases than Rickey. (And nobody steals more bases than Rickey.)
2 thoughts on “Russell’s paradox, major league version”
But there's no mention of sets!
There could be a Zeno's version —-
For Rickey to steal second base, he has to get from 1st to 2nd. To get from 1st to 2nd, he has to get halfway from 1st to 2nd, and so on.
It is neat. The illegality of Ricky not being a member of a set that Ricky is a member of goes nicely with the idea that "nobody" steals more bases than Ricky because that invokes an empty set but also creates another, sort of recursive illegality in which Ricky is always stealing more bases than Ricky but nobody is always stealing more. So we have a countable infinity "inside" another infinity.
But there's no mention of sets!
There could be a Zeno's version —-
For Rickey to steal second base, he has to get from 1st to 2nd. To get from 1st to 2nd, he has to get halfway from 1st to 2nd, and so on.
It is neat. The illegality of Ricky not being a member of a set that Ricky is a member of goes nicely with the idea that "nobody" steals more bases than Ricky because that invokes an empty set but also creates another, sort of recursive illegality in which Ricky is always stealing more bases than Ricky but nobody is always stealing more. So we have a countable infinity "inside" another infinity.