Originally posted by Agerg
so you're one of those who thinks your god can make a rock so heavy it can't lift then 😞
wiki
Peter Geach describes and rejects four levels of omnipotence. He also defines and defends a lesser notion of the "almightiness" of God.
1. "Y is absolutely omnipotent" means that "Y" can do everything absolutely. Everything that can be expressed in a string of words even if it can be shown to be self-contradictory, "Y"is not bound in action, as we are in thought by the laws of logic."[4] This position is advanced by Descartes. It has the theological advantage of making God prior to the laws of logic, but the theological disadvantage of making God's promises suspect. On this account, the omnipotence paradox is a genuine paradox, but genuine paradoxes might nonetheless be so.
2. "Y is omnipotent" means "Y can do X" is true if and only if X is a logically consistent description of a state of affairs. This position was once advocated by Thomas Aquinas.[5] This definition of omnipotence solves some of the paradoxes associated with omnipotence, but some modern formulations of the paradox still work against this definition. Let X = "to make something that its maker cannot lift". As Mavrodes points out there is nothing logically contradictory about this; a man could, for example, make a boat which he could not lift.[6] It would be strange if humans could accomplish this feat, but an omnipotent being could not. Additionally, this definition has problems when X is morally or physically untenable for a being like God.
3. "Y is omnipotent" means "Y can do X" is true if and only if "Y does X" is logically consistent. Here the idea is to exclude actions which would be inconsistent for Y to do but might be consistent for others. Again sometimes it looks as if Aquinas takes this position.[7] Here Mavrodes' worry about X= "to make something its maker cannot lift" will no longer be a problem because "God does X" is not logically consistent. However, this account may still have problems with moral issues like X = "tells a lie" or temporal issues like X = "brings it about that Rome was never founded."[4]
4. "Y is omnipotent" means whenever "Y will bring about X" is logically possible, then "Y can bring about X" is true. This sense, also does not allow the paradox of omnipotence to arise, and unlike definition #3 avoids any temporal worries about whether or not an omnipotent being could change the past. However, Geach criticizes even this sense of omnipotence as misunderstanding the nature of God's promises.[4]
5. "Y is almighty" means that Y is not just more powerful than any creature; no creature can compete with Y in power, even unsuccessfully.[4] In this account nothing like the omnipotence paradox arises, but perhaps that is because God is not taken to be in any sense omnipotent. On the other hand, Anselm of Canterbury seems to think that almightiness is one of the things that makes God count as omnipotent.[8]