Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics comma complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration finite foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • 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

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