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Modal collapse in Gödel's ontological proof

In Miroslaw Szatkowski (ed.), Ontological Proofs Today. Ontos Verlag. pp. 50--323 (2012)

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  1. On causality as the fundamental concept of Gödel’s philosophy.Srećko Kovač - 2020 - Synthese 197 (4):1803-1838.
    This paper proposes a possible reconstruction and philosophical-logical clarification of Gödel's idea of causality as the philosophical fundamental concept. The results are based on Gödel's published and non-published texts (including Max Phil notebooks), and are established on the ground of interconnections of Gödel's dispersed remarks on causality, as well as on the ground of his general philosophical views. The paper is logically informal but is connected with already achieved results in the formalization of a causal account of Gödel's onto-theological theory. (...)
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  • Computer-supported Analysis of Positive Properties, Ultrafilters and Modal Collapse in Variants of Gödel's Ontological Argument.Christoph Benzmüller & David Fuenmayor - 2020 - Bulletin of the Section of Logic 49 (2).
    Three variants of Kurt Gödel's ontological argument, proposed by Dana Scott, C. Anthony Anderson and Melvin Fitting, are encoded and rigorously assessed on the computer. In contrast to Scott's version of Gödel's argument the two variants contributed by Anderson and Fitting avoid modal collapse. Although they appear quite different on a cursory reading they are in fact closely related. This has been revealed in the computer-supported formal analysis presented in this article. Key to our formal analysis is the utilization of (...)
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