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  1. Why some people are excited by Vaught's conjecture.Daniel Lascar - 1985 - Journal of Symbolic Logic 50 (4):973-982.
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  • Prime and atomic models.Julia F. Knight - 1978 - Journal of Symbolic Logic 43 (3):385-393.
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  • Countable models of omega 1-categorical theories in admissible languages.Henry A. Kierstead - 1980 - Annals of Mathematical Logic 19 (1/2):127.
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  • The Vaught Conjecture: Do Uncountable Models Count?John T. Baldwin - 2007 - Notre Dame Journal of Formal Logic 48 (1):79-92.
    We give a model theoretic proof, replacing admissible set theory by the Lopez-Escobar theorem, of Makkai's theorem: Every counterexample to Vaught's Conjecture has an uncountable model which realizes only countably many ℒ$_{ω₁,ω}$-types. The following result is new. Theorem: If a first-order theory is a counterexample to the Vaught Conjecture then it has 2\sp ℵ₁ models of cardinality ℵ₁.
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  • Applications of Fodor's lemma to Vaught's conjecture.Mark Howard - 1989 - Annals of Pure and Applied Logic 42 (1):1-19.
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  • Game sentences, recursive saturation and definability.Victor Harnik - 1980 - Journal of Symbolic Logic 45 (1):35-46.
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  • Bounds on Weak Scattering.Gerald E. Sacks - 2007 - Notre Dame Journal of Formal Logic 48 (1):5-31.
    The notion of a weakly scattered theory T is defined. T need not be scattered. For each a model of T, let sr() be the Scott rank of . Assume sr() ≤ ω\sp A \sb 1 for all a model of T. Let σ\sp T \sb 2 be the least Σ₂ admissible ordinal relative to T. If T admits effective k-splitting as defined in this paper, then θσ\cal Aθ\cal A$ a model of T.
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  • An example concerning Scott heights.M. Makkai - 1981 - Journal of Symbolic Logic 46 (2):301-318.
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