I would say "to both induce and deduce" instead of "to generalize". Got your point though. :)
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All of these are needed: Memorization; reading comprehension skills: summarization, synthesis, analysis, generalization; critical thinking skills ...
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There are useful analogies elsewhere, less machine-y. https://uwaterloo.ca/centre-for-teaching-excellence/teaching-resources/teaching-tips/planning-courses-and-assignments/course-design/blooms-taxonomy …
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Yeah, be careful not to overfit your children. A wide variation of training data is recommended.
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Children automatically generalize.
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intuitively learn math. theres a ted talk already covering such
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Exactly
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Trouble is, useful generalization is difficult without thorough knowledge of facts, you just end up sounding like Tom Friedman.
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In humans the correct path is First memorize then generalize because in order to learn higher order concepts the lower order features have to be available immediately and memorized data provides dataset ready to pay attention to
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Premature generalization is a crime :-)
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