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    Standard epistemic logics generate logical omniscience by... — Carmelics
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    Supports→A logic of knowledge should formalize not only what is knowable by an agent but also what is known on the basis of specific evidence, with a tractability constraint.

    Standard epistemic logics generate logical omniscience by closing knowledge under logical consequence.

    Philosophy of LanguageTruth & Knowledge
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    Philosophy of LanguageTruth & Knowledge

    Key Terms

    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.

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    A logic of knowledge should formalize not only what is knowable by an agent but ...Evidence-indexed knowledge statements allow verification that a proof of the kno...Grounding knowledge in evidence with a polynomial-time verifiability condition a...

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    Standard epistemic-logic closure principles for knowledge lead to conc...86%Standard epistemic logics attribute to agents knowledge of all logical...85%Logical omniscience — the requirement that agents know all logical con...83%Standard epistemic logics such as S4 and S5 are implausible as models ...79%

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    Note, however, that such theorists are typically careful to avoid explicitly asserting that there are only finitely many feasible numbers. g. those given in the formulation of (S2). Certainly the claim that there is a largest feasibly constructible number would invite the challenge that the strict finitist nominate such a number \(n\). And any such nomination would in turn invite the rejoinder that if \(n\) is feasibly constructible, then \(n+1\) must be as well. But in the sort of model \(\math

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