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Magical Thinking in Mathematics 

When we deceive ourselves and allow others to deceive us on myths, mysteries, and magic in mathematics, be they via half-baked concepts, faux hypotheses, fallacies, paradoxes, tricks, and the like.
How can we fall for less magical thinking in mathematics? By teaching about faulty thinking habits, exposing false assumptions or hypotheses, warning against unquestioned extrapolation or generalization of rules or formulas, and debunking irrational or conspiratorial thinking.
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