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J Kusin
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Did it take till the likes of Lakoff and the 20th-21st century to have truly direct naturalized reasons for logic and math?

I’m finding George Lakoff and cohorts unique (but maybe that’s my lack of looking enough) in that they seem among the first posit a direct, naturalized account of logic and mathematics, as extended metaphors on basic concepts we learn at young ages.

Quine didn’t hold his, while a naturalist he held logic and math don’t directly answer to the world most of the time:

How is Quine to explain the apparent necessity and a priori status of some truths without appeal to the Principle of Tolerance? Quine’s holism is the view that almost none of our knowledge is directly answerable to experience.

https://plato.stanford.edu/entries/quine/#QuinNatuImpl

Logical positivists wouldn’t have either as math and logic are analytic and a priori, not empirical.

Not Kant either.

Seems like these kind of questions were ignored for a while(?), then back to Aristotle and Plato.

The little I know of them are that forms are ultimate causes to Plato, and Aristotle relied on the Socratic method/elenchus to posit the law of noncontradiction in his Metaphysics. These are not direct enough to be in the category of Lakoff I think. Winning a Socratic argument (elenchus) isn’t the same as Lakoff is doing (yet Aristotle is a father of science even…), and Plato’s forms are criticized by Aristotle for being too disconnected from the world I believe.

Yet it doesn’t take modern science to imagine what Lakoff is attempting. A completely naturalized conceptual metaphor as and for the law of excluded middle and principle of noncontradiction doesn’t seem outrageous. Think of the reasoning in searching for a missing child as your boat capsizes-you know the child must be on the boat or in the water, if you search the boat it’s time to search the water. I’m not using that scenario Socratically I don’t think, I’m saying it because it may point to a natural reason for us having such capacities of thought and reasoning. My instinct upon hearing it is to disengage the Socratic method and take up a new one for this task. Does that distinction make sense?

J Kusin
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