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    The expression '0 = 1' is a known contradiction in intuit... — Carmelics
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    Supports→Negation is not really needed for intuitionistic mathematics because negation can be defined in terms of a known contradiction.

    The expression '0 = 1' is a known contradiction in intuitionistic mathematics.

    Philosophy of LanguageTruth & Knowledge
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    Any logical role played by negation can be fulfilled by this definition using '0...Negation is not really needed for intuitionistic mathematics because negation ca...Negation of a proposition A can be defined as A implying 0 = 1.

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    Negation can be defined as A implying 0 = 1.85%Negation of a proposition A can be defined as A implying 0 = 1.82%ABb = 0 (ABb is a contradiction)81%Any logical role played by negation can be fulfilled by this definitio...81%

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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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