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nLab > Latest Changes: apartness ring

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  1. starting page on apartness rings

    Anonymouse

    v1, current

  2. Since the proposition that every class has at most one tight apartness is equivalent to excluded middle (this is found at https://martinescardo.github.io/TypeTopology/Apartness.Properties.html#At-Most-One-Tight-Apartness-on-Cantor-gives-WLPO-implies-LPO and https://us.metamath.org/ileuni/exmidmotap.html ), it is not correct to speak of “the apartness” of a local ring. Negated equality would also be an apartness.

    kingdon

    diff, v6, current

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