okay, so what is an analogue PID controller doing then, exactly, if not computing differentials and integrals?
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That's the problem. You are already modeling the said controller on digital computation.
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But the term computation in such cases is colloquially--in an extremely loose sense--used.
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the analog computers I've played with (homebrew systems from http://www.analogmuseum.org/english/examples/ …) were not digital at all, it was more like plugging modular synthesizers and making curves on an oscilloscope converge
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How many times should I say this, they are computers, the word computer is being used loosely here.
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Physics notwithstanding, how does computation-as-necessarily-digital square with either the Church-Turing or Curry-Howard-Lambek views of computation? All those formalisms are conceptually prior to digitality. Logic of comp. is recursive & constructive; digitality is incidental
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I agree, when I say digital I mean it in its logical sense, the undergirding.
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Did you know that Benjamin Franklin discovered electricity with a kite?
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Unbeknownst to many, the great Ben laid the foundations of a modern refrigerator without which we were perishing in the time of covid-19.
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