Modal Collapse: Sobel's Objection to Gödel's Ontological Argument
The last ontological argument Sobel discusses is the Leibnizinspired argument put forward by the famous logician Kurt Gödel. Gödel sets up a formal system in thirdorder quantified modal logic with equality and abstraction (!) and proves within that system the theorem: □∃xG(x) Where the predicate G is defined as follows: Gx ↔ ∀φ[P(φ) → φ(x)] Where P is primitive. (Sobel includes the complete source texts for Gödel's proof on pp. 144146.) Now, unsurprisingly, given that the proof was originated by Gödel, everyone agrees that the proof is valid in the formal system. The question is whether there are any interpretations...
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Topic(s):
Contemporary Thinkers
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Dana Scott
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Existence of God
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G. W. Leibniz
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Historical Thinkers
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Jordan Howard Sobel
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Kurt Gödel
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Metaphysics
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Modality
,
Ontological Argument
,
Philosophy
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Philosophy of Religion
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