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I absolutely agree with that because infinity is ultimately nothing more than an abstract mathematical concept.A quite similar "paradox" is in the theory of supertasks.

Human beings have very little and very wrong intuitions about infinity. When dealing with infinity, one should NEVER trust on intuition but rather on logical formal arguments.

There's really no reason to believe that mathematical infinities have anything at all to do with physical reality or the real world. So why should those abstract notions be intuitive?

I personally have reasons to disagree with many foundational concepts of set theory that actually cause all of these abstract multiple sized infinities. As far as I'm concerned these are all based on flawed logic that has unfortunately already been accepted into mathematical formalism mainly due to ideas introduced by Georg Cantor himself.

I am totally in agreement with the words of Henri Poincare they go something like this, forgive me if the quote is not precise as I am recalling it from memory but it goes something like this,....

"Georg Cantor's transfinite set theory is a disease from with future mathematics will someday be cured" - Henri Poincare

I'm in total agreement with Henri Poincare and I personally believe that at some point humans will fix this mistake.

I honestly believe that if aliens came here from another planet they would laugh at our notion of multiple sized infinities. It's simply an unnecessary and unrealistic concept. It's actually caused by the formal introduction of an "empty set" into set theory (which I believe was also the work of Cantor). It's simply an unnecessary concept. It's not needed.

All of these weird ideas have sprung from the formalization of set theory around the turn of the 20th century. Mathematics did fine without them for some 2000 prior to that. Including Newton and Leibniz invention of calculus.

In the meantime I believe that Henri Poincare's comments about Cantor's transfinite sets will indeed someday be 'cured'. They simply aren't required and they are basically nonsense.

It's no wonder they don't make intuitive sense. They truly are nonsense.