But I digress. The point is, important results in math often come from taking a powerful idea and pulling it back onto specific constructs.
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Replying to @EmilyGorcenski
Math is not always about "abstract abstract abstract". What that leads to is Category Theory. And oh boy, does FP love it some Cat. Theory.
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Replying to @EmilyGorcenski
But Category Theory is like actually really hard to understand and is so general that it's hard to wrangle it into constructive results.
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Replying to @EmilyGorcenski
Often times, what you have to do is find patterns that work, then pull them back onto more specific spaces to establish results.
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Replying to @EmilyGorcenski
Programming needs to do that, too. But often times all that work really just leads us back to where we started anyways.
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Replying to @EmilyGorcenski
Or we find that we do a whole lot of abstraction work to get not a whole lot that's new. No new problems get solved that weren't solvable b4
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Replying to @EmilyGorcenski
This isn't an invective against FP. OO iss just as bad at this. Enterprise Java is notorious for abstraction upon abstraction.
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Replying to @EmilyGorcenski
This is more a call to like, think about abstraction and use it when it makes sense, but also to remember the problem you're addressing.
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Replying to @EmilyGorcenski
Don't over-abstract for applications, but libraries should be general. CT guides you to the right generalization.
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Replying to @QueerGlossary
I disagree. And it doesn't. Like, a Kalman filter is a Kalman filter. You can CT that all you want, but it gets you nothing.
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"libraries" is a broad term, but in terms of robustness, a specific, validated library is often exactly what the Dr ordered.
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