[sandgiant]

It's not a fallacy, it's a paradox. One that indicates that our theories of quantum fluctuations in an infinite universe are incomplete.

This podcast episode has a good discussion on the subject: https://universetoday.fireside.fm/745

[stevebmark]

The initial conversation is an entirely false premise, that an infinitely large universe would have "anything that can happen, would happen." An infinitely large universe could be empty, and fit the bill, and there would be nothing like "there are infinite copies of myself that are slightly different than now." It's bad philosophy, not science.