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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeDec 22nd 2011
    • CommentRowNumber2.
    • CommentAuthorGuest
    • CommentTimeOct 14th 2022

    What is the “world’s simplest axiom of choice”?

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeFeb 18th 2023

    added pointer to:

    • Arend Heyting, Die formalen Regeln der intuitionistischen Logik. I, II, III. Sitzungsberichte der Preußischen Akademie der Wissenschaften, Physikalisch-Mathematische Klasse (1930) 42-56, 57-71, 158-169.

    I am not the first to ask the following, but it deserves asking again: Is there any electronic trace (scan, transcript) of this text?

    And: What’s the next-best secondary source? (Review or textbook, from which the content of Heyting’s text could be gleaned?)

    diff, v19, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeFeb 18th 2023
    • (edited Feb 18th 2023)

    Started a section (here) for the “Constructive interpretation of the connectives”, with a scan of the list of “interpretation of logical connectives”

    In Bridges’ text this is followed by a pointer to Heyting (1930), though it remains ambiguous whether Bridges means to credit the list of rules (e.g. “to prove ABA \vee B is to prove AA or to prove BB” etc.) to Heyting, or “just” their further formalization.

    If not due to Heyting, I gather the list of these rules must have been formulated by Brouwer previously, or else maybe by Kolmogorov? What’s a truly original reference?

    diff, v19, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeFeb 18th 2023
    • (edited Feb 18th 2023)

    thanks to a private email, I see that an abridged reprint of Heyting (1930) is in:

    Have added the pointer here.

    diff, v20, current