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Why Brouwer was right in suggesting that Hilbert's Law of the Excluded Middle needed qualification

Bhupinder Singh Anand
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Abstract

We reproduce Hilbert's axiomatic formalisation of Number Theory, and argue that his enunciation of the Law of the Excluded Middle is inconsistent with a Turing-verifiable model of the axioms under the standard interpretation.

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Bhupinder Singh Anand. 2006-03-26. Why Brouwer was right in suggesting that Hilbert's Law of the Excluded Middle needed qualification. https://arxiv.org/abs/math/0603604

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