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  1. An ideal game.F. Galvin, T. Jech & M. Magidor - 1978 - Journal of Symbolic Logic 43 (2):284-292.
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  • On the expressibility hierarchy of Magidor-Malitz quantifiers.Matatyahu Rubin & Saharon Shelah - 1983 - Journal of Symbolic Logic 48 (3):542-557.
    We prove that the logics of Magidor-Malitz and their generalization by Rubin are distinct even for PC classes. Let $M \models Q^nx_1 \cdots x_n \varphi(x_1 \cdots x_n)$ mean that there is an uncountable subset A of |M| such that for every $a_1, \ldots, a_n \in A, M \models \varphi\lbrack a_1, \ldots, a_n\rbrack$ . Theorem 1.1 (Shelah) $(\diamond_{\aleph_1})$ . For every n ∈ ω the class $K_{n + 1} = \{\langle A, R\rangle \mid \langle A, R\rangle \models \neg Q^{n + 1} (...)
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