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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 ...
Quanta Magazine

How Many Numbers Exist? Infinity Proof Moves Math Closer to an Answer.

For 50 years, mathematicians have believed that the total number of real numbers is unknowable. A new proof suggests otherwise. In October 2018, David Asperó was on holiday in Italy, gazing out a car ...
Scientific American

All Natural Numbers Are Either Happy or Sad. Some Are Narcissistic, Too

There are many different types of numbers, some of which you may remember from school: natural, rational, irrational, imaginary, calculable and incalculable numbers. Today, however, we are going to ...