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It is not the case that A less positivistic or naturalistic, more expansive criterion of ontological commitment is appropriate when examining omnipotence.
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Reasons For
2 perspectives
Reason for 1 of 2
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1.
Quine's criterion of ontological commitment—quantifying over entities in our best theories—applies universally, not selectively by domain.
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2.
Granting theology a privileged exemption from naturalistic ontology introduces an ad hoc double standard that undermines philosophical rigor.
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3.
If expanded ontological criteria are permitted for omnipotence, no principled boundary prevents their arbitrary application across all metaphysical disputes.
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Reason for 2 of 2
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1.
Swinburne and others in the analytic theology tradition show omnipotence can be rigorously analyzed within naturalistic modal frameworks without ontological inflation.
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2.
Invoking 'possible worlds governed by different laws' already presupposes a modal realist or ersatzist framework subject to standard naturalistic scrutiny.
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Reasons Against
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Reason against
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1.
Omnipotence has robust theological and metaphysical dimensions.
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2.
It would be natural to assume that the Supreme Being has the power to create any number of possible worlds governed by different laws of nature.
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3.
An omnipotent agent's power would not be circumscribed by theoretical scientific laws governing the actual world.
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