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throw_away_1979
searching PlanetScale…
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by
throw_away_1979
7y ago
No, because that's not true, see e.g. https://en.wikipedia.org/wiki/Dirichlet%27s_approximation_th... TL;DR: Every real number can be approximated by rationals. GP was being careless with language.
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by
throw_away_1979
7y ago
Continuity is a property of functions on topological spaces, not a property of sets of numbers. The property you are describing seems more like the Archimedean property or density of a set.