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I think mathematicians have got it wrong with infinity. Infinity is infinity. One infinity cannot be larger than another infinity. What do you think?

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Answering “infinity is infinity”, “one infinity cannot be larger than another infinity”… but beware that what follows is a surprising and unfinished answer.

What do you think?”: yes, sure, indeed, it can totally be seen that way. But in a different set of axioms than the commonly used set of axioms, called ZF[1].

Because you see, “infinity” is not proven, which is to say that it's not a theorem, but an axiom, so it is directly taken as a supposed truth. It's called the “axiom of infinity”, and the problem with this axiom, is that it breaks Mathematics©. So what if it's wrong?

Most people don't realize that, because they got used to it, and also because infinity helps a lot in many different fields, so no one wants to have this “golden nugget” (©Edward Frenkel[2]) removed from his hands, they just want to continue to play with it.

Playing with infinities and concepts that most people don't understand is fun for Mathematicians, often it's useful, they also get proud of it because no one else can do what they do, therefore they will defend it with all their hearts and all their souls.

But, indeed, one day will come when “the axiom of infinity will be proven to be wrong”©, and then it will be removed from Mathematics. (I'm afraid). (No, I'm not).

And if no one does it, then I will. Beware.

Footnotes

[1] List of axioms - Wikipedia

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