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nLab > Latest Changes: Science of Logic

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeAug 25th 2019
    • (edited Aug 25th 2019)

    added English translation of this bit

    PN§260 Der Raum ist in sich selbst der Widerspruch des gleichgültigen Auseinanderseins und der unterschiedlosen Kontinuität, die reine Negativität seiner selbst und das Übergehen zunächst in die Zeit. Ebenso ist die Zeit, da deren in Eins zusammengehaltene entgegengesetzte Momente sich unmittelbar aufheben, das unmittelbare Zusammenfallen in die Indifferenz, in das ununterschiedene Außereinander oder den Raum.

    Space is in itself the contradiction of the indifferent being-apart and of the difference-less continuity, the pure negativity of itself and the transformation, first of all, to time. In the same manner time – since its opposite moments, held together in unity, immeditely sublate themselves – is the undifferentiated being-apart or: space.

    And polished a little around and following this bit.

    diff, v269, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJan 21st 2020

    I have cross-linked PdG, Vorr. §5 with SoL, Vorr. §8

    both on the project of making philosophy an empirical science (of absolute introspection, but empirical nonetheless ;-)

    diff, v270, current

  3. Corrected the symbol listed for the infinitesimal shape modality in the formalisation dictionary. It was mistakenly written as &\& (infinitesimal flat modality) rather than ℑ\Im.

    sage

    diff, v273, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeDec 23rd 2022
    • (edited Dec 23rd 2022)

    At the very very end, in the section “References – Formalizations”, I have added pointer (here) to

    • Uwe Petersen, 35 Thesen zur Grundlegung einer formalen dialektischen Logik — nebst Kommentaren, DILEMMATA: Jahrbuch der ASFPG 4 (2009) 125–207 [pdf]

    This particular publication I have picked out at the moment just because that’s the one I was able to find an electronic copy of to have a quick look inside. Petersen has publications like

    • Die logische Grundlegung der Dialektik, Wilhelm Fink Verlag (1980)

    which may deserve to be cited here, but I haven’t seen their content yet.

    Generally, I have just the vaguest idea at the moment of what Petersen is proposing (though I decidedly enjoyed looking through his webpage and self-description here).

    For the moment I am adding this link mostly so that I know where to find next time that i have the leisure to actually study it.

    diff, v277, current

    • CommentRowNumber5.
    • CommentAuthorDavid_Corfield
    • CommentTimeDec 24th 2022

    I can’t think of anything other than Lawvere’s take on Aufhebung (and subsequent developments here) that has made any sense to me as a ’dialectical logic’.

    Had a look through

    where dialectical logic is described (footnote 8) as

    a contraction free logic with unrestricted abstraction which included double negation.

1 to 5 of 5

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