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nLab > Latest Changes: epistemic modal logic

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  1. starting stub article on epistemic modal logic. Not an expert on modal logics in general, but I think David Corfield might know more about this topic.

    Anonymous

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeDec 28th 2022

    cross-linked with epistemology

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeDec 28th 2022

    copied over the material from the previous existing “epistemic logic” (still visible in the page history of what is now epistemic logic > history)

    diff, v2, current

    • CommentRowNumber4.
    • CommentAuthorDavid_Corfield
    • CommentTimeMar 17th 2023

    Some heavy editing.

    diff, v5, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMar 17th 2023

    hyperlinked the new occurrence of doxastic logic.

    diff, v6, current

    • CommentRowNumber6.
    • CommentAuthorDavid_Corfield
    • CommentTimeMar 17th 2023

    Some more additions.

    diff, v7, current

    • CommentRowNumber7.
    • CommentAuthorDavid_Corfield
    • CommentTimeMar 17th 2023

    What happens with the use of \; in math mode. On the nForum it generates spaces, but on this nLab page it’s not working.

    N:IfPisatheorem,thensoisKP, \mathbf{N}: If\; P\; is\; a\; theorem, \;then\; so\; is\; K P,
    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeMar 17th 2023
    • (edited Mar 17th 2023)

    What I see when looking through your source is un-escaped flow text in math mode (previously in the equation following here), where you would want a \text-environment. Behind the above link I have changed it to

      \mathbf{N} \colon \text{If}\; P \;\text{is a theorem, then so is}\; K P

    diff, v8, current

    • CommentRowNumber9.
    • CommentAuthorDavid_Corfield
    • CommentTimeMar 17th 2023

    OK, thanks. But in my browser at least, it still has the ’If’ and ’PP’ run together.

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeMar 17th 2023

    Maybe we can convince your browser to recognize \phantom{,} as code for whitespace:

    Please try again here, now coded as

      \text{If}\phantom{,}P\phantom{,}\text{is a theorem, then so is}\phantom{,}K P

    diff, v10, current

    • CommentRowNumber11.
    • CommentAuthorDavid_Corfield
    • CommentTimeMar 17th 2023

    Another edit to the section now called ’Axioms for epistemic logic’. This is looking to convey a range of disagreement in the field of epistemic logic as to which of the standard axioms for the varieties of modal logic is appropriate to represent what is meant by ’know’.

    diff, v11, current

    • CommentRowNumber12.
    • CommentAuthorDavid_Corfield
    • CommentTimeMar 17th 2023

    Re #10, thanks that’s working now.

    • CommentRowNumber13.
    • CommentAuthorDavid_Corfield
    • CommentTimeMar 17th 2023

    Added a reference which explains what’s at stake in distinguishing epistemic and metaphysical modalities:

    • Boris Kment, Varieties of Modality, SEP

    diff, v12, current

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