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 ...

The equal sign is the bedrock of mathematics. It seems to make an entirely fundamental and uncontroversial statement: These things are exactly the same. But there is ...

Set theory remains the fulcrum of modern mathematical foundations, providing the language and axiomatic structure upon which much of mathematics is built. Predominantly formulated through the ...

There are numerous branches of mathematics, from the familiar arithmetic, geometry and algebra at an elementary level to more advanced branches such as number theory, topology and complex analysis.

For a few months now, the mathematical world has been abuzz. Rumors abound of a new proof, monumental in length and virtually ...

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