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nLab > Latest Changes: uniqueness quantifier

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  1. started page on uniqueness quantifiers

    Anonymous

    v1, current

    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 9th 2023

    Added a link to generalized the.

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 9th 2023

    And a link to definite description.

    diff, v2, current

  4. added link to quantification

    Anonymous

    diff, v3, current

  5. added section about uniqueness up to isomorphism quantifiers

    Anonymous

    diff, v5, current

    • CommentRowNumber6.
    • CommentAuthorMike Shulman
    • CommentTimeJan 13th 2023

    What is up with all these long lists of “rules” for things in type theory? No one doing type theory works with things defined like that. Only the primitive type-formers are specified by rules; for actually doing mathematics we just define things in terms of the primitive ones.

  7. clarified that these rules are needed in strongly predicative mathematics where one doesn’t have general dependent function types

    Anonymous

    diff, v8, current

    • CommentRowNumber8.
    • CommentAuthorMike Shulman
    • CommentTimeJan 13th 2023

    Do you have a citation for anyone doing strongly predicative mathematics in type theory in this way?

  9. Added section on defining exclusive disjunction in terms of the uniqueness quantifier

    Anonymouse

    diff, v9, current

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