Is this why infinite different worlds cannot exist?

Question

I think that there can never be infinite different worlds because they would blow each other up. The logic chain goes something like this:

1. There are infinite different worlds
2. Each world is different
3. There are infinite differences
4. Each world has different possibilities
5. Thus, anything is possible
6. Therefore, it is possible for a "reality bomb" to randomly appear and detonate
7. A "reality bomb" is unstoppable and will spread forever, seeping into dimensions, universes, matter, anti-matter, logic, mathematics, the "ideal" world, the "real" world, and everything real and unreal.
8. Thus everything will be destroyed in 0.000... seconds as soon as there are infinite different worlds
9. Hence, infinite worlds=all worlds are destroyed
10. Therefore, any world you find yourself in must be one of a limited number
11. Because if you are reading this, your universe/surroundings must still exist.
12. So infinite worlds will never exist

Answer 1

5 is a non sequitur. Just because there are infinitely many worlds, each with different possibilities, doesn't mean that anything is possible. The set of integers can be partitioned into infinitely many disjoint subsets, but none of them will contain π.

Answer 2

The important thing you are missing, and is also germane to Boltzmann brain arguments, is the mathematical concept measure. There may be infinite reality-bomb universes, but also infinite not-reality bomb universes. The ratio of these possibilities is what's important.

Leonard Susskind in this lecture says an infinite multiverse via eternal inflation can still explain why we exist and why we don't see BB's, even if infinite of them collapse/explode. More do not collapse/explode because the chance each daughter universe spawns a daughter universe is greater than the chance of one imploding (or spawning BB's).