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But taking notes and writing ideas out requires that we think them through...which we usually don't do otherwise. This has been a commonplace of the intellectual life for centuries.
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Words and thoughts are wholly separate. Notes aren't the direct results of perception, they are more like sportscasters reading the mind of pitchers. Notes point to thoughts or observations, they aren't the thoughts themselves.

“We refute (based on empirical evidence) claims that humans use linguistic representations to think.” Ev Fedorenko Language Lab MIT 2024

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I did not say that my brain uses linguistic representations internally when I think; I said that the process of turning my ideas into words helps me think.
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Actually you said "writing ideas out requires that we think them through" and this isn't what's happening in brains. In actuality, words interfere with our ability to think.
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Or alternate "pen is mightier that the sword."
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"The brain is lossless."

Nothing is lossless.

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Fourier transforms are lossless. If it entered the oscillations of senses, it's still there in your brain. You may never need it, but every action is detailed by difference.
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fourier transforms are lossless, but what impleemntation are you refering to that losslessly implements a fourier transform?

to my knowledge practical fourier transforms set a number of sine waves they will calculate for, and a window of time to look at. these limitations result in loss.

but, just taking the brain, at some point the person will die and decompose. how are you gonna get the oscillations back out of the rotted flesh? there has to be some form of loss to the brain

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We only need brains when we're alive, so extracting the points isn't required.

In terms of brains, the math is used to model the irreducible occurrences in brains - that everything is still in there. So the math only gives us a window into the complexity. Brains don't compute or calculate necessarily. As an analog, or analoga of differences, it never has to exclude, or experience loss.

For the details: Rhythms of the Brain or Unlocking the Brain both volumes.

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Math is models, not reality
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Popsci books tend to be horseshit.

Reading one does not make YOU a neurobiologist.

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They're not popsci books. I'm a co-lead developer on a project with neurobio consultants, so I better know wtf they're talking about.
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