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Small-Scale Question Sunday for March 10, 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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There's no categorical difference between quantitative and qualitative differences. "Sometimes when I talk to other people they talk back to me" is a form of "modeling the world" that dogs and even the dumbest humans can do. Everything beyond that is just more "depth and breadth" of knowledge.

But very dumb people are observably worse at all of the things you describe than very smart people, so that "depth and breadth" is all there is, really.

I guess that's a way to say I don't understand the question, or know if it's well-formed.

But different traits scale disproportionally with respect to each other, so I think you can meaningfully translate quantitative differences into qualitative differences in practice via orders of magnitude difference in ability.

That is, if someone with an IQ of 120 can throw a football 2% more accurately than someone with an IQ of 80, then we'd say that football-throwing skill does not scale meaningfully with IQ even if there is technically a minor improvement. If someone with an IQ of 120 can solve simple arithmetic problems 40% faster or more accurately than someone with an IQ of 80, then this would reasonably be considered a quantitative difference. If someone with an IQ of 120 can solve problems related to hierarchically nested hypothetical scenarios 50 times (5000%) faster or more accurately than someone with an IQ of 80, (which is realistic if the latter can barely handle them at all), then this would reasonably be described as a qualitative difference despite technically being quantitative in the details.

Clearly there isn't a well-defined bright line distinguishing the scenarios. But there are cases which fall unambiguously on one side or the other, such that it's meaningful to discuss.

edit: mixed up the words "quantitative" and "qualitative" in some places

Yes, well said.

Have you heard of the models of mental development in psychology? In one of them, Piaget's model, the formal operational stage of reasoning, logic and abstract thinking of several possible outcomes, hypotheticals etc, is supposed to develop around 12 years of age or a bit later. But I've heard it said that not everyone succeeds in ever reaching that stage. This is the kind of thing I want to hear more about.

The only thing I can think of that's related is https://en.wikipedia.org/wiki/Constructive_developmental_framework Kegan stages, and David Chapman (rat adjacent)'s interpretation of them - https://metarationality.com/stem-fluidity-bridge