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The paradox related to omnipotence is well known - in one of the many possible forms it asks whether an omnipotent being can create a stone that it cannot lift.

While there are many similar paradoxes based on self-reference (like whether the adjective "not-applicable-to-itself" applies to itself), I do not know any other paradoxes related to the aspect of omnipotence expressed by "omni". For example, I do not know whether omniscience or omnipresence leads to any paradoxes.

Does anybody here know any such paradoxes?

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    See Omnipotence & omniscience; but IMO the example is quite debatable... Commented Sep 12, 2022 at 13:06
  • @MauroALLEGRANZA Thank you for that reference! It is shown there that one cannot use one particular reasoning to infer contradiction from omniscience. But can there be any other ways to infer that? Commented Sep 12, 2022 at 13:17
  • You can get paradoxes when you attempt to combine omni- abilities with other beliefs. For instance: omniscience + freewill. How is it that God knows your freewill decisions prior to you making them - presumably freely? Commented Sep 12, 2022 at 20:41
  • @RyanPierceWilliams I am not sure this makes a paradox - an action does not require to be absolutely unpredictable to be freely executed. Commented Sep 13, 2022 at 15:23
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    Cantor's theorem shows no such set of all truths known by omniscient God, but all truths likely form a proper class which is known by God. Indeed according to Fitch's famous knowability paradox, if all truths are knowable by any non-omniscient being, "all truths" must not include any of the form "something is an unknown truth by said being"; thus there must be no unknown truths by said being, which sounds oxymoron. Ergo omniscience like emanation omnipresence is likely self-consistent logically... Commented Oct 18, 2022 at 2:08

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