Against God of the Truth-Value Gaps

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Abstract

Can God create an unliftable stone? Beall & Cotnoir propose that ‘God can create an unliftable stone’ is a truth-value gap (neither true nor false). However, this yields a revenge paradox on whether God can eschew gaps. Can God avoid gappy ascriptions of power? Either way, God’s power seems to have limits. In response, it may be said that ascribing God the power to avoid gaps is itself gappy—it concerns a power that God neither has nor lacks. Yet this ends up being inconsistent, for it implies that God definitely lacks that power. Following Aquinas, perhaps Beall & Cotnoir could accept this lack and still uphold omnipotence, suggesting that the power to avoid gaps is impossible for God. Yet the Aquinian stratagem is enough to block the original paradox, which saps the motivation to proffer truth-value gaps in addition. I conclude that the gappy solution is either inadequate or insufficiently motivated.

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T. Parent
Nazarbayev University

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References found in this work

The Logic of What Might Have Been.Nathan Salmon - 1989 - Philosophical Review 98 (1):3-34.
Some puzzles concerning omnipotence.George I. Mavrodes - 1963 - Philosophical Review 72 (2):221-223.
The logic of omnipotence.Harry G. Frankfurt - 1964 - Philosophical Review 73 (2):262-263.
Omnipotence.Richard Swinburne - 1973 - American Philosophical Quarterly 10 (3):231 - 237.

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