10 problems
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Decidability of quantifier-free term modal logic with basic assignments over S5 models
The paper considers a quantifier-free term modal logic without function symbols, augmented with the basic assignment modalities from dynamic logic. Decidability conjecture. This fr…
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The inferentialist conjecture on information derived from use
Inferentialist conjecture. The inferentialist view of meaning as being derived from use — in particular, from inference in P-tS — provides a fruitful perspective on the concept of…
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The ALUT non-unknowability conjecture
ALUT non-unknowability conjecture. For all and all ,
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Impossibility of attaining common knowledge by private announcements
Let there be two agents, and . Let be a sentence in , and let be an action in whose announcements are all private:…
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Completeness conjecture for the simplicial model axiom system of
Let be the set of agents, and let be the axiom system consisting of the axioms together with the non-emptiness axiom…
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The appearance-belief adjunction conjecture
Appearance-belief adjunction conjecture. Appearance should be left adjoint to belief:
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Sequent calculi conjecture for ERL and ERL*
Sequent calculi conjecture. It should be possible to give perhaps labelled sequent calculi for ERL and that provide a similar operational reading of evolution to t…
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Reinhardt's consistency conjecture for the Strong Mechanistic Thesis
Let the Strong Mechanistic Thesis be the theory asserting that a truthful mechanical knowing agent satisfies the relevant background theory of knowledge, including the stipulated k…
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Reinhardt's conjecture on self-knowledge of having a code
A truthful mechanical knowing machine is an idealized agent that knows facts in a quantified arithmetic-based language containing a connective for its own knowledge. Reinhardt'…
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Kaplan's conjecture on context-shifting operators in natural language
Natural language uses contexts to evaluate epistemic formulas, with an epistemic operator such as potentially shifting evaluation from one context to another. Kaplan…