Questioning Gödel's Ontological Proof: Is Truth Positive?

In his “Ontological proof”, Kurt Gödel introduces the notion of a second-order value property, the positive property P. The second axiom of the proof states that for any property f: If f is positive, its negation is not positive, and vice versa. I put forward that this concept of positiveness leads...

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Détails bibliographiques
Auteur principal: Damschen, Gregor 1969- (Auteur)
Type de support: Électronique Article
Langue:Anglais
Vérifier la disponibilité: HBZ Gateway
Interlibrary Loan:Interlibrary Loan for the Fachinformationsdienste (Specialized Information Services in Germany)
Publié: [2011]
Dans: European journal for philosophy of religion
Année: 2011, Volume: 3, Numéro: 1, Pages: 161-169
Accès en ligne: Volltext (doi)
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Résumé:In his “Ontological proof”, Kurt Gödel introduces the notion of a second-order value property, the positive property P. The second axiom of the proof states that for any property f: If f is positive, its negation is not positive, and vice versa. I put forward that this concept of positiveness leads into a paradox when we apply it to the following self-reflexive sentences: (A) The truth value of A is not positive; (B) The truth value of B is positive. Given axiom 2, sentences A and B paradoxically cannot be both true or both false, and it is also impossible that one of the sentences is true whereas the other is false.
Contient:Enthalten in: European journal for philosophy of religion
Persistent identifiers:DOI: 10.24204/ejpr.v3i1.386