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How is a Math Major different from a Mathematician?

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Main Question or Discussion Point

I want to know what would you say is the main difference between a Math Major and a Mathematician. I keep listening people using the terms as synonyms but I think that is not correct, or is it?
 

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A math major is someone who has or is obtaining a bachelor's degree in mathematics.

A mathematician is someone who is employed to do mathematics or is publishing in mathematics journals.
 

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