The converse's 'triviality' presupposes that only uniqueness results are interesting, but in modalepistemology, permissibility results—showing what is consistent with a knowledge state—carry independent theoretical weight.
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Theoretical weight(the argument that permissibility results matter independently)
How important or significant something is for understanding a theory—whether it actually contributes something valuable to explaining how things work.
Triviality(as used in logic)
In logic, a system becomes 'trivial' when it breaks down so completely that every statement becomes true, making the system useless.
Uniqueness results(the type of result the statement says people wrongly assume is the only interesting kind)
Conclusions that show there is only one correct answer or belief given certain information—the opposite of having multiple options.
epistemology(Contrasted with purely descriptive scientific inquiry)
A normative enterprise that tells us how we ought to reason from evidence and how we ought to justify our beliefs, as distinct from merely describing how we do reason or justify beliefs
knowledge(Distinguished from mere true belief, which may be the product of indoctrination and need not exercise deliberative capacities.)
Justified true belief — true belief that has been arrived at through the exercise of deliberative capacities, including comparison of and deliberation among alternatives.
modal(in logic and metaphysics)
Dealing with possibility and necessity—questions about what could be true, what must be true, and what's merely contingent (could go either way).