Physicist Max Tegmark argues that if there are infinite universes or sub-universes, we will encounter our exact duplicates infinite times, the nearest within 10^10^115 m. Tegmark assumes Humean supervenience and a finite number of possible combinations of elementary quantum states. This paper argues on the contrary that Tegmark’s argument fails to hold if possible thoughts, persons, and life histories are all infinite in number. Are there infinite thoughts we could possibly think? This paper will show that there are. If so, (...) then it is not only Tegmark’s specific claim about our duplication that is called into question. We additionally acquire another strong argument against Humean supervenience. (shrink)