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Thinking about whether “overconstrained” is a meaningful state as in “more than fully constrained” … it’s not quite the same as the better posed notion of “overdetermined”
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I never understood the definition of degree of freedom. If you can turn your head, you have a degree of freedom. But an owl can turn its head all the way around, what’s that, a super degree of freedom?
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No real confusion there. It’s just a constrained degree of freedom and the own is less constrained than we are (but still constrained… it can’t rotate like a wheel)
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yes in the sense that if you didn't have to do it, you would have an extra degree of freedom i think breathing is just a confusing example because it's already factored into everything we do, so it doesn't feel constraining
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Well in physics there is a formula which goes like, the exact number of variables to be used to describe a system equals the freedoms (positive) minus the contraints (negative - due to minus) imposed on it. A constraint can be thought of as negative freedom...
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