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> Mathematicians will have above average ability with arithmatics

They dont. My family has multiple ma mathematicians in it and as a kid I spent a lot of time with their colleagues on activities. Many do regularly huge mistakes in basic arithmetic like multiplication or addition. Some of them do "memorise pi to 50 decimal places" or learn some other "stunt" for fun of it or in order to impress people. But they all treat it more of as a stunt then something meaningful.

It just does not matter for work of mathematician whether you are good with arithmetic. So they dont care about becoming good at it. They just joke about it when someone makes mistake yet again.



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