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comment by user-inactivated
user-inactivated  ·  4310 days ago  ·  link  ·    ·  parent  ·  post: Is institutionalized learning an anachronism? Yes. Keep moving, hubski.

I think the Wikipedia and MOOCs are perfectly good for learning a well-developed body of knowledge. I skipped a lot of my undergraduate classes because the lectures didn't add anything to the textbook. I don't think they're adequate for learning to practice most disciplines yet. If you want to do mathematics you need to learn to write proofs, and you're going to write an awful lot of wrong proofs in the process. You really need someone to tell you when you're doing it wrong. The same is true of science, engineering, philosophy, and writing. It's possible to be an autodidact, but most autodidacts end up eccentric as best and cranks at worst. Universities will still have a place until there's some other way for autodidacts to avoid compounding their misunderstandings until they end up like this guy.

Computing is a special case, and I think that's what leads people with a background in computing to be so enthusiastic about MOOCs. In computing you can easily test yourself against the machine; if you implement your ideas and they work, you're probably not too far off. That doesn't generalize very far. If you're trying to learn math, you might check your proofs with Coq, but that's really the wrong level to be writing proofs at. In the physical sciences you could do experiments yourself if you have the money and can legally buy the materials, but you'll reach a point where you don't or can't eventually.





rjw  ·  4303 days ago  ·  link  ·  

I think what you said about self-teaching raises a good point. There are so many 'bad habits' you can get into when teaching yourself. Often you need someone else to criticise your proofs/essay/etc to help you improve. A good example is playing the piano. You can spend years teaching yourself from sheet music, but you might end up with shitty rhythm, or bad posture or bad fingering because nobody was around to be harsh with you when you got those things wrong. You can sound like Mozart when you're by yourself only to have your ego cut to pieces when you are told that no you should be doing it like this.

That said, I object to you calling autodidacts "eccentrics" and "cranks". Maybe your conclusion comes from sample bias - most people with the inclination/mental ability/etc to teach themselves end up going to university because it is the Done Thing, thereby leaving the slightly odd people to represents autodidacts. This would actually be a pretty interesting thing to investigate...

user-inactivated  ·  4303 days ago  ·  link  ·  

Underwood Dudley wrote several books about cranks in mathematics. Their prevalence is one of the reasons we don't have many contributions from amateurs in mathematics anymore, despite being a discipline with a history of important contributions from amateurs; so many mathematicians get letters giving oddball and fallacious proofs of statements already proven to be false that amateurs are just assumed to be cranks.

Dudley's books are still encumbered, but libgen has them. Here's De Morgan's much less sympathetic study of 19th century cranks.