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arXiv · 1611.02543

Equivalents of disjunctive Markov's principle

Matthew Hendtlass
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Abstract

The purpose of this short note is to point out a rich source of natural equivalents of the weak semi-intuitionistic principle MP$^\vee$ in reverse constructive mathematics: many simple theorems from Euclidean geometry when read classically (for example with $<$ interpreted as $\leqslant$ and $\neq$) are equivalent to disjunctive Markov's principle MP$^\vee$. We give an example of this phenomenon.

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Matthew Hendtlass. 2016-11-08. Equivalents of disjunctive Markov's principle. https://arxiv.org/abs/1611.02543

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