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nLab > Latest Changes: continuum hypothesis

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  1.  
    • 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

  4. 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)⇒x≤ω∨P(Ω)≤x\forall x, Ord(x)\Rightarrow x \leq \omega \vee P(\Omega) \leq x

    due to

    involving only ordinals.

    diff, v30, current

  6. changed dead link

    Anonymous

    diff, v35, current

  7. 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

  8. Added reference

    Anonymouse

    diff, v40, current

1 to 8 of 8

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