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Juliette Cara Kennedy
University of Helsinki
  1.  30
    Gödel’s Modernism: On Set-Theoretic Incompleteness.Juliette Cara Kennedy & Mark van Atten - 2004 - Graduate Faculty Philosophy Journal 25 (2):289-349.
    On Friday, November 15, 1940, Kurt Gödel gave a talk on set theory at Brown University. The topic was his recent proof of the consistency of Cantor’s Continuum Hypothesis with the axiomatic system ZFC for set theory. His friend from their days in Vienna, Rudolf Carnap, was in the audience, and afterward wrote a note to himself in which he raised a number of questions on incompleteness.
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    More on Regular Reduced Products.Juliette Cara Kennedy & Saharon Shelah - 2004 - Journal of Symbolic Logic 69 (4):1261-1266.
    The authors show, by means of a finitary version □finλ, D of the combinatorial principle □b*λ of [7], the consistency of the failure, relative to the consistency of supercompact cardinals, of the following: for all regular filters D on a cardinal λ, if Mi and Ni are elementarily equivalent models of a language of size ≤ λ, then the second player has a winning strategy in the Ehrenfeucht-Fraïssé game of length λ+ on ∏i Mi/D and ∏i Ni/D. If in addition (...)
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    More on Regular Reduced Products.Juliette Cara Kennedy & Saharon Shelah - 2004 - Journal of Symbolic Logic 69 (4):1261 - 1266.
    The authors show. by means of a finitary version $\square_{\lambda D}^{fin}$ of the combinatorial principle $\square_\lambda^{h*}$ of [7]. the consistency of the failure, relative to the consistency of supercompact cardinals, of the following: for all regular filters D on a cardinal A. if Mi and Ni are elementarily equivalent models of a language of size $\leq \lambda$ , then the second player has a winning strategy in the Ehrenfeucht- $Fra\uml{i}ss\acute{e}$ game of length $\lambda^{+}$ on $\pi_{i} M_{i}/D$ and $\pi_{i} N_{i}/D$ . (...)
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