A set of the six sides of a die matches up one-to-one with a set of red shoes, helping illustrate Georg Cantor's set theorem. Image courtesy of GBH/NOVA It can be easy to take math for granted. But ...
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Mathematicians just discovered two new types of infinity, and they may break the rules of math
Is there an infinity of infinities? The question sounds almost absurd, like a child’s riddle meant to twist your brain into ...
The mysteries of infinity could lead us to a fantastic structure above and beyond mathematics as we know it WHEN David Hilbert left the podium at the Sorbonne in Paris, France, on 8 August 1900, few ...
Several years ago, I tried to explain infinity to a class of fifth graders. In the story that I told them, I was preparing to eat a piece of cake when a friend walked in on me. Being polite, I gave ...
To determine the nature of infinity, mathematicians face a choice between two new logical axioms. What they decide could help shape the future of mathematical truth. In the course of exploring their ...
To determine the nature of infinity, mathematicians face a choice between two new logical axioms. What they decide could help shape the future of mathematical truth From Quanta (Find original story ...
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