You might be bothered by that possibility shortly before you start learning how to teach a maths class in 1966:
I'm nearly finished reading a book - `Patterns of Plausible Inference' - by the teacher, George Polya. It makes several tricky topics easy to understand, contains lots of fascinating and quirky examples and is beautifully written. There are also interesting lines of influence and comparison with the philosophers Jaynes and Carnap.
Biographical details: Polya was a pacifist, enjoyed playing football and didn't like maths at school.
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