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As someone who had all those boxes checked, none of those are necessarily true.
I think you read "should" into that when it's coated in thick layers "could". If you didn't learn those things then you only skimmed the surface of those topics. I did all 4 and learned all these things and am still learning.
"have to" and "need to" don't imply "could". I did learn those things but not necessarily as a direct result of learning those skills. And skimming the surface is pretty much the entire point of K-12 education.
I totally agree that the arts are a great way to gain insight into more technical / abstract fields. Studying 3D graphics is what really made linear algebra and multidimensional calc click for me. But to assume that these are strong dependencies is mistaken.
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