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Cardinality, measure and category
A good way of proving that a set is countable
A quick way of recognising countable sets
How to change "for all x there exists y" into "there exists y such that for all x"
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Littlewood-Paley heuristic for derivative
Littlewood-Paley heuristic
Geometric view of Hölder's inequality
Diagonal arguments
Finding an interval for rational numbers with a high denominator
Try to prove a stronger result
Use self-similarity to get a limit from an inferior or superior limit.
Prove a consequence first
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Countable but impredicative
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Higher dimensional analogues
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