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The entropy of a set is the logarithm of the number of elements in . Gromov’s remarkable insight (which he elaborated on in a course I attended a decade ago) by taking the logarithm we can ensure additivity: . Perhaps one should also … Continue reading
People enjoy solving puzzles. In real life, solving puzzles is useful, for instance recognising a camouflaged predator. But this is not a sufficient reason to be rewarded (emotionally) for solving the puzzle, rather than just for the outcome. In a … Continue reading