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    Therefore, computational intractability reveals a gap bet... — Carmelics
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    Supports→There is a fundamental tension between treating logical knowledge as a priori and the computational intractability of deciding logical validity.

    Therefore, computational intractability reveals a gap between idealized logical omniscience and real epistemic agents, confirming rather than dissolving the tension the claim identifies.

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    Key Terms

    Computational intractability(as the hidden problem obscured by the label 'decidable')
    A situation where a problem is theoretically solvable but practically impossible because it would take an unreasonably long time or too many resources for a computer to actually solve it.
    Epistemic agents(the main subjects doing the tracking in this statement)
    People or beings who seek knowledge and try to figure out what's true and what they can justifiably believe.
    Gap between idealized and real(as used in this argument about perfect logic versus human reasoning)
    A difference between how things work in perfect theory versus how they actually work in the real world with real limitations.
    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

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    logical omniscience(Epistemic logic; originated from modal treatments of knowledge)
    The problem, arising in epistemic logic, that standard closure principles for the knowledge operator appear to require agents to know all logical consequences of what they know, including all propositional tautologies.

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    Truth & Knowledge1 linkedSkepticism1 linked

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    There is a fundamental tension between treating logical knowledge as a priori an...

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