Abuse of notation is only a surface phenomenon. The real magic behind mathematics is in a safe and productive abuse of abstraction.
What's an "abuse of abstraction"? (I've sometimes wondered if abuse of notation isn't much deeper than the casual way we treat it suggests)
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in programming a “leaky abstraction” is not safe to “abuse” in a novel and creative way, but in mathematics this happens all the time
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for example when translating between algebra and geometry
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Abuse of abuse?
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