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- Mathematicians deal with different sizes of infinity. The sets of positive whole numbers (numbers greater than 0) and negative whole numbers (numbers less than 0) are infinite sets of the same size. But, if you combine the two sets you get a new infinite set that is twice as large. You can add a number to infinity to make it larger.
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Sep 16, 2017 · In a breakthrough that disproves decades of conventional wisdom, two mathematicians have shown that two different variants of infinity are actually the same size.
Sep 12, 2017 · Two mathematicians have proved that two different infinities are equal in size, settling a long-standing question. Their proof rests on a surprising link between the sizes of infinities and the complexity of mathematical theories.
Apr 19, 2023 · In this episode, Steven Strogatz chats with his fellow mathematician Justin Moore of Cornell University about how one infinity can be bigger than another (and whether we can be sure that there isn’t an intermediate infinity between them).
Jul 19, 2007 · As German mathematician Georg Cantor demonstrated in the late 19th century, there exists a variety of infinities—and some are simply larger than others.
Aug 16, 2021 · A Deep Math Dive into Why Some Infinities Are Bigger Than Others. The size of certain infinite sets has been a mystery. Now, it turns out, each one is different than the next, and they can all...
Apr 13, 2022 · Mathematicians have long known infinity comes in many sizes, but how do they relate to one another? The key lies in a 150-year-old mystery known as the continuum hypothesis.
Jun 16, 2021 · Mathematicians deal with different sizes of infinity. The sets of positive whole numbers (numbers greater than 0) and negative whole numbers (numbers less than 0) are infinite sets of the same size. But, if you combine the two sets you get a new infinite set that is twice as large.
