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).
  1. added table of contents, section headers, and links to apartness relation, stable equality, Kock field


    diff, v7, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeDec 7th 2022
    • (edited Dec 7th 2022)

    The half-sentence

    It is taken for granted in classical mathematics.

    needs a little addendum: What is it that is taken for granted?

    Maybe it should rather say something like this:

    In classical mathematics denial inequalities are just plain inequalities and so the notion plays no (further) role, classically.

    diff, v8, current

  2. replaced

    It is taken for granted in classical mathematics.


    In classical mathematics, denial inequalities and tight apartness relations are the same, so the notion plays no further role classically.


    diff, v9, current

  3. also changed

    “other inequality relations such as apartness relations


    tight apartness relation

    since those are the only ones which are different from denial inequalities in constructive mathematics. General apartness relations and other irreflexive symmetric relations are still relevant in other parts of mathematics, such as local rings, even in classical mathematics.


    diff, v9, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeDec 7th 2022


  4. added properties of denial inequality under de Morgan’s law and under the double negation law.


    diff, v10, current