The definition of infinity is that it is how many natural numbers there are. 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…..(…)…
>>16872841>The definition of infinity is that it is how many natural numbers there are.No, that is the definition of aleph-0, infinite means endless.Those things you described aren't different infinities, they are just projections of the fact that numbers are endless in every direction possible.