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    What exactly is "the method of philosophical argument"? It might help if you give a concrete example of the sort of application you have in mind. Commented Dec 21, 2021 at 4:56
  • The "method of philosophical argument" is the method of common sense, only more refined and elaborate. That's the only method for making probable proofs about reality we have, only mathematics has the luxury of simply postulating its premises and rules.
    – Conifold
    Commented Dec 21, 2021 at 5:49
  • Your wish of "probable proof" needs clarification, proof is a concept in logic realm without probability modality usually (most inference rules has no probability-mixin), otherwise epistemic closure breaks down easily which sabotages the utility of formal logic. Even fuzzy logic's IF-THEN rules are deterministic. Philosophical argument is nothing but argument with philosophical background knowledge and can be usually formalized if you insist. Sound philosophical argument is conservative extension of math, thus cannot magically prove math theorems "probably" if you cannot do so formally in math Commented Dec 21, 2021 at 7:02
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    – J D
    Commented Dec 21, 2021 at 15:34
  • philosophy.stackexchange.com/questions/88557/…
    – Wakem
    Commented Dec 21, 2021 at 21:44