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arXiv · 1512.09299

Magidor-Malitz Reflection

Yair Hayut
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Abstract

In this paper we investigate the consequences and consistency of the downward Löwenheim-Skolem theorem for extension of the first order logic by the Magidor-Malitz quantifier. We derive some combinatorial results and improve the known upper bound for the consistency of Chang's Conjecture at successor of singular cardinals.

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Yair Hayut. 2018-07-30. Magidor-Malitz Reflection. https://arxiv.org/abs/1512.09299

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