There is another fallacy: that an infinite path includes the infinite number of elements. However, we could imagine circular path, which has the finite number of elements. Eternal return by Nietzsche is a (wrong) example of such path.
It may help reject some false ideas about immortality and create the more positive image of it, without entrapping into black holes or need to remember infinite number of things.
If we have linear and circular immortality, we could create morу complex constructions of pathways in the space of possible minds with merges, attractors, dead ends, two-dimensional figures etc. It completely dissolves fear of bad infinity associated with the naive understanding of immortality.
It is not a heuristic; it is a mathematical proof, given the condition I mentioned (namely that the probability does not diminish indefinitely. A circular path which does not contain the element has a probability of zero for the element, but we have no reason to expect circular paths.)
There is another fallacy: that an infinite path includes the infinite number of elements. However, we could imagine circular path, which has the finite number of elements. Eternal return by Nietzsche is a (wrong) example of such path.
It may help reject some false ideas about immortality and create the more positive image of it, without entrapping into black holes or need to remember infinite number of things.
I don’t think that most people would think circular immortality is especially positive.
If we have linear and circular immortality, we could create morу complex constructions of pathways in the space of possible minds with merges, attractors, dead ends, two-dimensional figures etc. It completely dissolves fear of bad infinity associated with the naive understanding of immortality.
I don’t see a convincing argument here. In fact, I don’t see any argument at all, convincing or otherwise.
Do you think the argument from infinity is in fact a valuable heuristic?
It is not a heuristic; it is a mathematical proof, given the condition I mentioned (namely that the probability does not diminish indefinitely. A circular path which does not contain the element has a probability of zero for the element, but we have no reason to expect circular paths.)