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arXiv · 1809.08299

On elimination of quantifiers in some non-classical mathematical theories

Guillermo Badia·Andrew Tedder
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Abstract

Elimination of quantifiers is shown to fail dramatically for a group of well-known mathematical theories (classically enjoying the property) against a wide range of relevant logical backgrounds. Furthermore, it is suggested that only by moving to more extensional underlying logics can we get the property back.

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Guillermo Badia, Andrew Tedder. 2018-09-21. On elimination of quantifiers in some non-classical mathematical theories. https://arxiv.org/abs/1809.08299

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