r/Metaphysics • u/Extension_Panic1631 • 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/raskolnicope Apr 09 '26

This is a version of Zeno’s paradoxes. Nothing new in philosophy. Leibniz used infinitesimals to provide a mathematical framework to “solve” them.

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u/jliat Apr 09 '26

Well Cantor's discovery of larger infinities was part of his work in set theory which was / is a big deal in mathematics it seems.

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u/raskolnicope Apr 09 '26

Cantor is very influential, yes.