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You may be interested in some of the work of the great Bill Lawvere, especially around formalization of Hegelian dialectics:

https://ncatlab.org/nlab/show/William+Lawvere#RelationToPhil...

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Thank you. It's a bit surprising to see Hegel here, I was thinking more on the lines of the analytic philosophy. Of course many early 20th c. mathematicians who were interested in philosophy such as Weyl or Gian-Carlo Rota would not have thought much of such a distinction.

Yeah, it didn't used to be that big of a divide. Nowadays it seems like analytic philosophers are doing endless retreads, and continental ones are also doing endless retreads, but with more confusing sentence structure.

From a 10,000 foot view, I think nailing down a more "objective" understanding of dialectics (idealist, material, whatever) is a promising direction to ameliorate this meta-problem. People arguing in journals is pretty much a dialectic problem, so understanding that can go a long way to understanding issues beyond that.

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