Description

• Title:
  Computer-supported Analysis of Positive Properties, Ultrafilters and Modal Collapse in Variants of Gödel's Ontological Argument
• Creator:
  Benzmüller, Christoph;
  Fuenmayor, David
• Contributor:
  Benzmüller, Christoph - Freie Universität Berlin, Institute of Computer Science; University of Luxembourg, Faculty of Science, Technology, and Communication;
  Fuenmayor, David - Freie Universität Berlin, Institute of Computer Science;
  Benzmüller, Christoph - c.benzmueller@gmail.com;
  Fuenmayor, David - david.fuenmayor@fu-berlin.de
• Description:
  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 suitably adapted notions of (modal) ultrafilters, and a careful distinction between extensions and intensions of positive properties.
• Object availability:
  free access
• Rights: http://creativecommons.org/licenses/by-nc-nd/4.0
• Date:
  2021.05.11;
  2020.06.30
• Type:
  Other
• Language:
  English
• Format:
  application/pdf
• Publisher:
  Wydawnictwo Uniwersytetu Łódzkiego
• Relation:
  Bulletin of the Section of Logic;2;
  49
• Subject:
  computational metaphysics;
  ontological argument;
  higher-order modal logic;
  higher-order logic;
  automated reasoning;
  modal ultrafilters
• Identifier:
  0138-0680;
  http://hdl.handle.net/11089/35468 ;
  2449-836X;
  10.18778/0138-0680.2020.08
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  check license
• Type:
  other