Gödel's ontological proof

E100625

Gödel's ontological proof is a formal, modal-logic-based argument for the existence of God that rigorously develops and refines earlier ontological arguments within a precise axiomatic framework.

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Generate an image of Gödel's ontological proof (Gödel's ontological proof is a formal, modal-logic-based argument for the existence of God that rigorously develops and refines earlier ontological arguments within a precise axiomatic framework.)

All labels observed (4)

How this entity was disambiguated

Statements (52)

Predicate Object
instanceOf argument for the existence of God ⓘ
formal proof ⓘ
modal argument ⓘ
ontological argument ⓘ
philosophical argument ⓘ
aimsToShow existence of God is logically necessary ⓘ
assumes S5 modal logic axioms or a system close to S5 ⓘ
basedOn modal logic ⓘ
centralConcept God as a maximally great being ⓘ
necessary existence ⓘ
positive properties ⓘ
concludes a God-like being exists necessarily if it is possible ⓘ
if a God-like being is possible, then it exists in all possible worlds ⓘ
creator Kurt Gödel ⓘ
criticizedFor controversial notion of positive properties ⓘ
possible modal collapse ⓘ
reliance on strong modal axioms such as S5 ⓘ
field metaphysics ⓘ
modal metaphysics ⓘ
philosophical logic ⓘ
philosophy of religion ⓘ
firstMajorPublication Dana Scott's version circulated in the 1970s ⓘ
formalizationYear 1941 ⓘ
furtherDevelopmentPeriod 1940s ⓘ
hasComponent axioms about positive properties ⓘ
definitions of God-like being ⓘ
definitions of essence ⓘ
definitions of necessary existence ⓘ
theorems about possible and necessary existence ⓘ
hasFormalization computer-verified proof in higher-order logic ⓘ
hasVariant Anderson's emendation of Gödel's ontological argument ⓘ
Dana Scott's version of Gödel's ontological argument ⓘ
Hájek's analysis and variants ⓘ
inspiredBy Anselm of Canterbury's ontological argument ⓘ
Leibniz's version of the ontological argument ⓘ
languageOfOriginalNotes German ⓘ
manuscriptsCirculated privately during Gödel's lifetime ⓘ
notablePublication appeared in print in the 1970s ⓘ
appeared in print in the 1980s ⓘ
preservedIn Gödel's Nachlass (literary estate) ⓘ
relatedTo Anselm's Proslogion ⓘ
Leibniz's ontological argument ⓘ
subjectOf extensive philosophical debate ⓘ
formal logical analysis ⓘ
usesConcept essence ⓘ
necessary existence as a property ⓘ
possible world semantics ⓘ
usesLogicSystem higher-order modal logic ⓘ
verifiedBy automated theorem provers ⓘ
verifiedIn Coq ⓘ
Isabelle/HOL ⓘ
other higher-order proof assistants ⓘ

How these facts were elicited

Referenced by (4)

Full triples — surface form annotated when it differs from this entity's canonical label.

Kurt Gödel → notableIdea → Gödel's ontological proof ⓘ
Gödel's ontological proof → hasVariant → Dana Scott's version of Gödel's ontological argument ⓘ
linked to: Gödel's ontological proof
Ontological argument for the existence of God → hasVersion → Gödel’s ontological proof ⓘ
linked to: Gödel's ontological proof
Ontological argument for the existence of God → hasVersion → Hartshorne’s ontological argument ⓘ
linked to: Gödel's ontological proof