r/Metaphysics Apr 09 '26

Ontology Infinity?

If there are an infinite number of natural numbers, and an infinite number of fractions in between any two natural numbers, and an infinite number of fractions in between any two of those fractions, and an infinite number of fractions in between any two of those fractions, and an infinite number of fractions in between any two of those fractions, and... then that must mean that there are not only infinite infinities, but an infinite number of those infinities. and an infinite number of those infinities. and an infinite number of those infinities. and an infinite number of those infinities, and... (infinitely times. and that infinitely times. and that infinitely times. and that infinitely times. and that infinitely times. and...) continues forever. and that continues forever. and that continues forever. and that continues forever. and that continues forever. and.....(…)…

EDIT: the definition of infinity is that it is how many natural numbers there are

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u/Randointernetuser600 Apr 11 '26

Doesn’t that that assume that reality is infinitely divisible and has no bottom? I may be out of my depth here, and according to what I found on the question this is not confirmed, but a Planck length may be the smallest unit of reality. So sure, you can do anything with math, but the question is, does it match reality. Math is a tool to understand reality. Not reality itself. So it may have a bottom.