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    Ex falso can be stated as '0 = 1 implies A'. — Carmelics
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    Supports→The law of contradiction is provable from the remaining axioms of the intuitionistic system H without taking it as a primitive.

    Ex falso can be stated as '0 = 1 implies A'.

    Philosophy of LanguageTruth & Knowledge
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    Related propositions within the same area of thought.
    Negation can be defined as A implying 0 = 1.The law of contradiction is provable from the remaining axioms of the intuitioni...The remaining axioms of H are sufficient to derive the law of contradiction give...

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    Negation can be defined as A implying 0 = 1.81%Negation of a proposition A can be defined as A implying 0 = 1.79%The expression '0 = 1' is a known contradiction in intuitionistic math...77%James does not hold that the falsity of Clifford's Rule implies that a...76%

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    Griss contested Brouwer’s use of negation, objecting to both the law of contradiction and ex falso. It is worth noting that negation is not really needed for intuitionistic mathematics since \(0 = 1\) is a known contradiction so \(\neg A\) can be defined by \(A \rightarrow 0 = 1.\) Then ex falso can be stated as \(0 = 1 \rightarrow A,\) and the law of contradiction is provable from the remaining axioms of \(\mathbf{H}.\)

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