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
    • CommentTimeJan 7th 2019

    added pointer to

    diff, v24, current

    • CommentRowNumber2.
    • CommentAuthorMike Shulman
    • CommentTimeApr 10th 2019

    Added reference to the multiverse view

    diff, v25, current

    • CommentRowNumber3.
    • CommentAuthorDavidRoberts
    • CommentTimeFeb 9th 2021

    Fixed up some small formatting issues

    diff, v28, current

  1. Corrected the definition of the (external) Continuum Hypothesis throughout, including an explanation of why the previous definition was incorrect. Made some minor typo corrections along the way.

    Morgan Rogers

    diff, v29, current

    • CommentRowNumber5.
    • CommentAuthorDavidRoberts
    • CommentTimeFeb 14th 2021

    Added formulation

    x,Ord(x)xωP(Ω)x\forall x, Ord(x)\Rightarrow x \leq \omega \vee P(\Omega) \leq x

    due to

    involving only ordinals.

    diff, v30, current

  2. changed dead link

    Anonymous

    diff, v35, current

  3. already in impredicative neutral constructive mathematics, one can state different versions of the continuum hypothesis for the real numbers, Cantor space, or the power set of the natural numbers, since the three sets in general cannot be proven to be in bijection with each other without countable choice and/or excluded middle. So the sections on predicative mathematics can be merged into the general section above.

    Anonymouse

    diff, v37, current