You know, I didn't actually understand the nature of signals after I took signals and systems, anyways. It was all just a bunch of busywork math and manually computing transforms by hand.
This video actually provides a tremendous amount of insight : https://youtu.be/cIQ9IXSUzuM
Once you understand it, you'll realize that a neural impulse is not a square impulse. The edges are blurred. It looks exactly like a frequency limited signal, when they show what a square wave looks like in this video. Which means the same techniques do apply, including sampling at a finite rate.
Or, in neuroscience terms, I'm saying that since we can put a Chinese Room around each individual synapse, and because physical reality doesn't let us determine if a given synapse actually "knows Chinese" or not, and we can definitely do this, then we have pretty definitive proof that what the brain is doing is functionally computation.
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