A starry firmament, or sand cascading through one’s open fingers, or weeds springing up time after time: the first conception of infinity, of the uncountable and the unending, is not recorded, but it ...

The first column I wrote in this space, if memory serves, was about infinity. It was an introduction to the charming but mythical Hotel Infinity, where you can always check in and never leave. Years ...

When mathematician Georg Cantor first glimpsed the true nature of infinity, it changed mathematics forever. He demonstrated that infinity isn’t just endless—it exists in different sizes, each opening ...

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Ian Stewart has an easy, if not particularly helpful, way of envisaging infinity. “I generally think of it as: (a) very big, but (b) bigger than that,” says the mathematician from the University of ...

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Let 𝓑 be a base for a nowhere locally compact Tychonoff space X and let bX be a compactification of X. Then the following two statements hold: (1) The remainder bX \ X of X is pseudocompact if and ...