Everything is learnable, once it is settled.

Since Fitch's proof that not all propositions are knowable, philosophers have analysed the concept of knowability and sought a schema for the knowable propositions. A recent development in dynamic epistemic logic (DEL) has been to read 'knowable' as 'known after an announcement'. Arbitrary Public An...

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Publicado en:Synthese Vol. 199; no. 1/2; pp. 4795 - 4818
Autor principal: Xu, Kevin
Formato: Artículo
Publicado: Springer Nature Dec2021
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        10.1007/s11229-020-03003-5
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        atl: Everything is learnable, once it is settled.
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        au: Xu, Kevin
        affil: London, England
      su:
        Epistemic logic
        Philosophers
        Logic
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        subj:
          Epistemic logic
          Philosophers
          Logic
      keyword:
        Dynamic epistemic logic
        Fitch's paradox of knowability
        Moorean announcements
        Sequential epistemic logic
        Temporal logic
      ab: Since Fitch's proof that not all propositions are knowable, philosophers have analysed the concept of knowability and sought a schema for the knowable propositions. A recent development in dynamic epistemic logic (DEL) has been to read 'knowable' as 'known after an announcement'. Arbitrary Public Announcement Logic (APAL) and Sequential Public Announcement Logic (SPAL) are two DELs that have depicted this reading of knowability. We argue that neither APAL nor SPAL provide a satisfactory and principled schema of the knowable propositions. Instead, we claim that knowability is linked with settledness; stability of truth. We augment SPAL with a settled operator to create a new logic, Dual Sequential Public Announcement Logic (DSPAL). We prove in DSPAL a principled schema of knowability, that all settled propositions are knowable.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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