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Beethoven wrote all 9 symphonies altogether. But when he wrote them, it was the time Beethoven went deaf. Symphony No.3(the Eroica) was to be dedicated to Napoleon. However, shortly after Beethoven finished and Napoleon was crowned King of France himself, the composer started to tear his work into half.
They are said to have met in Vienna in 1787, and Beethoven is said to have had a few lessons from Mozart. However, this is uncertain, as there is only one account of a meeting, and it is not contemporary. Beethoven knew much of Mozart's work.