Notes on Gödel’s and Scott’s variants of the ontological argument

Abstract Notes on Kurt Gödel’s modal ontological argument and Dana Scott’s variant of it are presented. These remarks, supported by experimental studies with a proof assistant system for classical higher-order logic, implicitly answer some questions the authors have received over the last decade(s). In addition, some new insights resulting from the conducted experiments are reported.

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Publication Details

Journal
Monatshefte für Mathematik
Published
2025-04-20
DOI
https://doi.org/10.1007/s00605-025-02078-x
Citations
2
Primary Topic
Semantic Web and Ontologies
Type
article
Field-Weighted Citation Impact
4.96
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article

Notes on Gödel’s and Scott’s variants of the ontological argument

Christoph Benzmüller, Dana Scott
2 citations
Monatshefte für Mathematik
Semantic Web and Ontologies
4.96
article

Notes on Gödel’s and Scott’s variants of the ontological argument

Christoph Benzmüller, Dana Scott
article en
2 citations

Abstract

Abstract Notes on Kurt Gödel’s modal ontological argument and Dana Scott’s variant of it are presented. These remarks, supported by experimental studies with a proof assistant system for classical higher-order logic, implicitly answer some questions the authors have received over the last decade(s). In addition, some new insights resulting from the conducted experiments are reported.

Monatshefte für MathematikVol. 208(4)
Molecular Sciences Institute (US), Freie Universität Berlin (DE), University of Bamberg (DE)
Openalex Percentile: Top 6%
Semantic Web and Ontologies
4.96
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