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How can I explain why we need proofs to someone who has no experience in mathematical thinking?
12 votes

Maybe you can use some non-mathematical examples... Black swans. Europeans assumed that all swans were white, because all swans in Europe are white, to the extent that a black swan was considered ...

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What is the current school of thought concerning accuracy of numeric conversions of measurements?
1 votes

It depends on the level of the class. I would expect someone who has a recent undergraduate degree in mathematics to have experienced significant figures at at least some point in their life, either ...

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