Attributes like omniscience, moral goodness, and personal agency are not entailed by causal primacy alone, as Hume demonstrates in the Dialogues Concerning Natural Religion Part IV.
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The fourth section of Hume's book, where the characters debate whether the design of the universe proves God exists and what qualities God would have.
Personal agency(as what would have to be abolished to fully neutralize luck according to Cohen's argument)
Your ability to make your own free choices and be responsible for your own actions, rather than being completely controlled by circumstances or systems.
entailed(as used in logic)
When one thing logically forces another thing to be true—if the first is true, the second must be true too.
omniscience(The passage tests omniscience against mathematical undecidability)
The property of knowing everything; used here to probe whether divine knowledge extends to undecided mathematical propositions.