Normally, one also thinks that Achilles will reach the tortoise.

Number 3 is the world in which said chosen author does not die. The set of (both positive or all) real numbers less than 2 or the set of rational numbers less than 2 would be the set of uncountable and countable worlds that exist, respectively.

These are two examples of overarching multiverses in which one has infinite possible worlds, but said chosen author always dies anyway.