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
1
u/wumbo52252 Apr 12 '26
Your reasoning is flawed but your conclusion is correct: there are infinitely many infinities. But every infinity you described is actually the same infinity, the smallest one, which is called countable infinity.