A Note on Counterexamples to the Vaught Conjecture

Greg Hjorth

doi:10.1305/ndjfl/1172787544

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Home > Journals > Notre Dame J. Formal Logic > Volume 48 > Issue 1 > Article

2007 A Note on Counterexamples to the Vaught Conjecture

Greg Hjorth

Notre Dame J. Formal Logic 48(1): 49-51 (2007). DOI: 10.1305/ndjfl/1172787544

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Abstract

If some infinitary sentence provides a counterexample to Vaught's Conjecture, then there is an infinitary sentence which also provides a counterexample but has no model of cardinality bigger than ℵ₁.

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Greg Hjorth. "A Note on Counterexamples to the Vaught Conjecture." Notre Dame J. Formal Logic 48 (1) 49 - 51, 2007. https://doi.org/10.1305/ndjfl/1172787544