There can't be any growth as some point. The periodic table of elements only has that many elements and only a few combinations can be made in an infinite time.
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There can't be any growth as some point. The periodic table of elements only has that many elements and only a few combinations can be made in an infinite time.
But then you also have to consider that the universe will not be inhabitable indefinitely, the entropy is growing, the hydrogen necessary for nuclear fusion in the stars will be depleted at some point and so on. Once we leave the human time scale this has to be taken into account. There is some question what can happen in the limit. Altogether I think that it is an interesting thought experiment of you (and Borges), but it cannot serve, at least in this simple form, as refutation of transhumanism.