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nLab > Latest Changes: pseudo-order

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  1. starting discussion page

    Anonymous

    diff, v29, current

    • CommentRowNumber2.
    • CommentAuthorGuest
    • CommentTimeJun 19th 2022

    The term “linear order” is too ambiguous of a term; sometimes it is used in the literature as a synonym of “weak total order” and sometimes it is used in the literature as a synonym of “strict total order”.

  3. Renaming page to strict linear order based off this comment by Jonas Frey

    https://nforum.ncatlab.org/discussion/684/classifying-topos/?Focus=95119#Comment_95119

    Daniel Freedman

    diff, v31, current

  4. Moving section on the classifying topos of linear order to total order from the article now renamed to strict linear order

    Daniel Freedman

    diff, v31, current

  5. might as well use the more common name in mathematics “strict total order” for this page

    Daniel Freedman

    diff, v31, current

  6. fixed incorrect definition of trichotomy

    diff, v32, current

  7. This object goes by the name of pseudo-order in the constructive literature. See

    • Heyting, Arend (1966). Intuitionism: an introduction (2nd ed.). Amsterdam: North-Holland Pub. Co. p. 106. ISBN:978-0-444-53406-4

    as well as the Wikipedia article on pseudo-orders

    Daniel Freedman

    diff, v33, current

  8. stated how one can combine irreflexivity, asymmetry, and connectedness using exclusive disjunction in constructive mathematics

    Anonymouse

    diff, v38, current

  9. Added proof that decidable pseudo-orders are purely cotransitive

    Anonymouse

    diff, v39, current

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