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History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.
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Widely accepted mathematical results that were later shown to be wrong?
The Euler characteristic $V-E+F$ has an interesting history. It was initially stated that, for all polyhedra:
$$V(\text{vertices})-E(\text{edges})+F(\text{faces})=2$$
and its proof was widely accepte …