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Are logical truths (those that are true in all possible interpretations) a subset of facts (known via observation in our reality)? Are facts a subset of possible truths(satisfiable)? Where do axioms fit in? Or, are logical truths separate and unrelated to facts/observable truths?

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    Most facts are not necessary while logical truths if they exist are inevitable and a priori, then how can logical truths be a subset of facts, but it could be said to be reflecting those necessary facts, but not via observation in our reality otherwise deductive logic becomes inductive and uncertain (remember there's a famous Hume's problem of induction even for valid observations?)...
    – Double Knot
    Oct 5, 2022 at 21:46

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