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Small-Scale Question Sunday for April 21, 2024

Do you have a dumb question that you're kind of embarrassed to ask in the main thread? Is there something you're just not sure about?

This is your opportunity to ask questions. No question too simple or too silly.

Culture war topics are accepted, and proposals for a better intro post are appreciated.

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You’re kind of touching on two questions.

The thing about images is that the map is not the territory. Concerns like pixels—resolution—only sneak in to quantify the limits of that map.

A mathematical construct like the Fourier transform doesn’t have that problem. The transform of a pure sine wave is the Platonic ideal of a pair of points. But you can’t make such a pair out of samples. You’re forced to approximate, which gives you a resolution.

So question 1 is “do we have a map to quantify smell?” The answer is yes, but no one can agree which is best. Here’s a more recent study which has a bunch of cool charts showing the perceptual space. There’s also the classic OChem Smells Chart.

Question 2 is how good the resolution is for any of these models. For sound and sight, we’ve done experiments to identify how small of a difference can be recognized. Presumably, something similar has been tried in the smell literature. In theory, you could use one of the Question 1 schema to choose several components of smell. Say “edibility,” “temperature,” and “irritation.” Then test different substances on each axis to estimate resolution. That’d give you a map of possible, distinguishable smells.

I’m going to be lazy and assume the same is true for taste.

I’m also lazy. I agree with everything you said, my argument with him was that the difficulty of simulating taste and smell meant that anything short of direct neurostimulation was likely to be uneconomical.