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Many of the worlds greatest thinkers can also interact with an audience Annie.
And many non-thinkers can be introverts, not having the confidence to interact...
It's about what gives you energy and what saps your energy. If you need quiet time away from people to recharge that's introvert. Extroverts recharge with company.
They say the test is to close your eyes and see what happens in your head. If nothing then you're extrovert, if you're buzzing with thoughts, introvert.