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That although both are infinite, there are actually more of one than the other.

That's treating infinite as if it's a limit, when it's not.

If it's uncountable and unmeasurable, than it's non hierarchical.




> That although both are infinite, there are actually more of one than the other.

That's not the assumption, that's the result.


You're right. The assumption would be that there's a countability difference between Naturals and Reals.

That Naturals are infinite but countable and Reals infinite and uncountable.




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