We recently wrote about how infinitely large sets are not all the same size as each other, but we were a bit vague about what we meant by a set. The people who invented set theory also started out ...
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When I was a child, a new way of teaching math was introduced and soon became popular. Often called the “new math”, this approach to math included an attempt to build up all of math from the concepts ...
The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...
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