@dibblego Depends on learning style. I prefer to have a few concrete examples to frame my thinking before getting into abstract results.
Some students will insist to start concrete before abstraction because it is easier. They are inviting you to also be wrong like they are.
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@dibblego But I have met people who like an abstract framework before seeing anything concrete.Thanks. Twitter will use this to make your timeline better. UndoUndo
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@dibblego How is a concrete example of an abstraction “wrong”? -
@sritchie The claim that it is easier is wrong. It definitely isn't, even (especially) in cases where there is insistence otherwise. - Show replies
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@techtangents some people learn by attempting to abstract from examples, fail then either give up or harden up. -
@dibblego@techtangents What do you mean? All abstraction is abstraction from examples. - Show replies
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@dibblego I think math ed should start with set theory / group theory, then show special cases (arithmtc?), but I think some want analogies.Thanks. Twitter will use this to make your timeline better. UndoUndo
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@dibblego@puffnfresh abstractions don't arise out of thin air. They are extracted from concrete cases to solve or describe problems.Thanks. Twitter will use this to make your timeline better. UndoUndo
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@dibblego Start every software project with homotopy type theory, but write when you find work?Thanks. Twitter will use this to make your timeline better. UndoUndo
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