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Meta-thinking

  • All the other ways of thinking can recur and compound on each other:
    • we can have a pattern that generalizes to a bigger domain,
    • which satisfies some predicates that define a modality,
    • which has a connection with another predicate from a bigger pattern,
    • and this connection has a form that applies more generally to other connections between other domains,
    • and so on and so on infinitely!
  • Good example: going from Gauss-Bonnet theorem to Chern-Gauss-Bonnet theorem to Riemann-Roch theorem to Atiyah-Singer index theorem.

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