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Mathematicians Just Discovered Two New Types of Infinity, and They May Break the Rules of Math

For centuries, mathematicians have categorized infinities into a kind of ladder. The infinite set of natural numbers (1, 2, 3 ...
Scientific American

Infinity Is Not Always Equal to Infinity

What is the largest natural number possible? By using the word natural, I have ruled out the possibility that you simply answer infinity (∞) to torpedo the guessing game. But even if we allowed ...