2017
DOI: 10.1093/analys/anx069
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God of the gaps: a neglected reply to God’s stone problem

Abstract: Traditional monotheism has long faced logical puzzles (omniscience, omnipotence, and more). We present a simple but plausible 'gappy' framework for addressing these puzzles. By way of illustration we focus on God's alleged stone problem. What we say about the stone problem generalizes to other familiar 'paradoxes of omni-properties', though we leave the generalization implicit. 1 We assume familiarity with the proposed (subclassical) logic but an appendix is offered as a brief review.

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Cited by 11 publications
(14 citation statements)
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“…It isn't clear how, given that Beall's theological consequence relation will also validate the De Morgan laws. On a purely gappy approach to theology (Beall and Cotnoir 2017), one never asserts sentences of either form, since they will never be true, and so there is no pressure to distinguish them. On a purely glutty approach (Cotnoir 2018), we deny that there are any gaps, and thus we can interpret sentences like (2) as asserting the falsity of a disjunction of gluts (which is also glutty).…”
Section: De Morgan 1: ‫∨ܣ¬‬ ‫⇔ܤ¬‬ ‫∧ܣ(¬‬ ‫)ܤ‬ De Morgan 2: ‫∧ܣ¬‬ ‫⇔ܤ¬mentioning
confidence: 99%
“…It isn't clear how, given that Beall's theological consequence relation will also validate the De Morgan laws. On a purely gappy approach to theology (Beall and Cotnoir 2017), one never asserts sentences of either form, since they will never be true, and so there is no pressure to distinguish them. On a purely glutty approach (Cotnoir 2018), we deny that there are any gaps, and thus we can interpret sentences like (2) as asserting the falsity of a disjunction of gluts (which is also glutty).…”
Section: De Morgan 1: ‫∨ܣ¬‬ ‫⇔ܤ¬‬ ‫∧ܣ(¬‬ ‫)ܤ‬ De Morgan 2: ‫∧ܣ¬‬ ‫⇔ܤ¬mentioning
confidence: 99%
“…Logic, as above, doesn't demand as much; but systematic theorizing motivates the methodological goal. And with that goal, one is quickly motivated to the view that the ticked sentence is false and also true -a contradiction (see Beall 2017).…”
mentioning
confidence: 99%
“…
Beall and Cotnoir (2017) argue that theists may accept the claim that God's omnipotence is fully unrestricted if they also adopt a suitable nonclassical logic. Their primary focus is on the infamous Stone problem (i.e., whether God can create a stone too heavy for God to lift).
…”
mentioning
confidence: 99%
“…But certainly God can make it that M activates, so by contraction and modus ponens again, triviality follows. 4 The upshot is the Beall and Cotnoir (2017) do not present a satisfactory solution to the Stone problem for unrestricted omnipotence; they provide at best a satisfactory solution to one version of the Stone problem but fail to resolve the (arguably more serious) Curry Stone problem. Moreover, once the Curry Stone problem is resolved (e.g., by rejecting one of the properties of the conditional we have discussed), then Beall and Cotnoir's rejection of the excluded middle may not be motivated.…”
mentioning
confidence: 99%
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