Yes… there’s still some proofs in high school geometry, I believe, but no real explanation of what a proof is and why you should care, so I suspect it’s totally forgotten at the end of the year
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This. The significance and nature of proofs is not taught at school, and mostly not even understood by the teachers, because they don't understand the concept of epistemology.
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Right… and, unfortunately, I don’t think the MIT professors I had as a math undergraduate understood the issues involved at all well either. Anyway, were unwilling to discuss them!
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And then you ran into the
@rodneyabrooks and he irrevocably burned your brain because you had no epistemological defenses against his embodimentalism and you despaired and because a Buddhist1 reply 0 retweets 0 likes -
Replying to @Plinz @puellavulnerata and
Just for the historical record, Phil Agre and I got embodiment from Lucy Suchman and Hubert Dreyfus. Rod came to it independently at the same time (as did Leslie Kaelbling & Stan Rosenschein).
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Replying to @Meaningness @Plinz and
But “embodiment” mostly misses the point anyway. See this, from 1986:https://meaningness.com/metablog/abstract-emergent …
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Replying to @Meaningness @Plinz and
This is very interesting; closer to the mark than much writing on embodiment, which often seems like wishful thinking. What of arguments like Chomsky's &, in a different domain, people like Dehaene: that there is substantial innate structure to support certain abstractions?
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Replying to @michael_nielsen @Meaningness
Put another way, our minds seem very well prepared (evolutionarily) for certain types of abstraction, and very poorly prepared for other kinds of abstraction. All other things being equal, one wishes to target the former when designing new abstractions.
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Replying to @michael_nielsen @Meaningness
The pragmatic argument makes sense: evolution has primed and biased our cognition to deal with a particular universe. But that does not mean that any system that wants to explore mathematics needs a body. It is not even so clear that this is true for us.
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I'm asking specifically what it means for David's argument.
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