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itinerant1
Guest
A logical or mathematical division is only potentially infinite, as one can always divide by 2 again, and again, ad infinitum. It is never a realized infinite.I would suspect that it does as a logical concept. Example, take a non zero number and divide it by 2, and continue until you reach absolute 0. This process will run infinitely long. Using the same technique but with matter, we would get as far as the atom and have to stop due to constraints on scientific knowledge. Can you partition an electron/proton/neutron?
Whether matter is infinitely divisible is answered from two different perspectives. Practically, it is not technologically possible. Theoretically, there seems to be no logical contradiction to its infinite divisibility.
Another consideration about the “infinite” is this: Is an actually realized infinite quantity possible? I will say “no” because the concept involves a contradiction in terms.
The implication of the contradiction indicated above is that the universe, which is made up of things that are quantifiable, i.e. physical matter and energy, is therefore finite.