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RichardKennaway comments on What Bayesianism taught me - Less Wrong
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Every white wall is a non-sparrow not observed by God, hence evidence for God observing every sparrow's fall. It is also a, um, no, you're right, the second one doesn't work.
How do we know that the wall is not observed by God?
Ah, quite so. God sees all, sparrows and walls alike. Both of those examples are broken.
An omnipotence-omniscience paradox: "God, look away!" - "I can't!"
“There's something a human could do that God couldn't do, namely committing suicide.”
-- someone long ago, IIRC (Google is turning up lots of irrelevant stuff)
And since we usually desire the one thing we cannot have ...
That one's easily solvable, isn't it? God could look away if he wanted to, but chose not to.
If sparrows do not exist, then "every sparrow falling is observed by God" and "no sparrow falling is observed by God" are both true. (And of course, every white wall is a tiny bit of evidence for "sparrows do not exist", although not very good evidence since there are so many other things in the universe that also need to be checked for sparrow-ness.)