I think Eliezer wasn’t specific enough what he meant by “indistinguishable”. In the QM and thermodynamics/chemistry sense the particles are indistinguishable iff they are completely described by their quantum states—which are just finite sets of numbers. The properties of statistics change a lot when moving from distinc to non-distinct particles—think of permutations versus combinations.
I think Eliezer wasn’t specific enough what he meant by “indistinguishable”. In the QM and thermodynamics/chemistry sense the particles are indistinguishable iff they are completely described by their quantum states—which are just finite sets of numbers. The properties of statistics change a lot when moving from distinc to non-distinct particles—think of permutations versus combinations.