The problem of omni-qualities: they cannot exist
This thread is for anyone who wants proof that a god can be conclusively proven to not exist. I want this as tight as possible, so if anyone sees a problem with my reasoning, please let me know.
Some notes: if I succeed, this argument can be used as a blanket rebuttal that any entity matching this description cannot exist. If I fail, I did not make my case. That does not mean things matching this description therefore exist; it means I screwed up and made a flawed argument.
- Omniscience means holding all possible knowledge about all possible subjects; an omniscient entity knows the correct answer to any question.
- Omnipotence means able to perform any act; this speaks strictly to ability to act, not desire to take an action.
Assume the qualities of omniscience and omnipotence are possible.
P1: An entity can be omniscient: call this OS.
P2: An entity can be omnipotent: call this OP.
P3: An entity can be concurrently both omniscient and omnipotent: call this (OS ^ OP).
If an omniscient entity exists, it knows everything. However, if it knows everything, it is impossible for this entity to learn. Additionally, it cannot alter its conclusions in light of new information, nor ever feel surprised. Omniscience necessarily precludes this entity from performing some possible actions. Therefore an omniscient entity is precluded from being omnipotent: (OS -> ~OP).
We have reached our first contradiction. We cannot have both (OS ^ OP) and (OS -> ~OP). By the law of non-contradiction, an entity cannot be both omnipotent and not omnipotent at the same time. Therefore, our most recent assumption (P3) is false: an entity with these qualities cannot exist.
To rephrase my definition, omnipotence means "capable of any action." Since an omnipotent entity can never attempt something and fail for lack of ability, this entity cannot improve with practice, or learn a new skill. Also, this entity can never make an unwitting mistake; any percieved errors would be intentional, and therefore not an error. Therefore, by being omnipotent, an entity is precluded from being omnipotent (OP -> ~OP).
We have another contradiction: we cannot have both (OS ^ OP) and (OP -> ~OP). Therefore, P3 is false. Additionally, we have shown that omnipotence (P2) is self-contradictory, so by the law of non-contradiction, the quality of omnipotence itself cannot exist.
It is impossible for an entity to be both omnipotent and omniscient, since even if omniscience did not preclude omnipotence, omnipotence cannot exist. Any entity defined as being omniscient cannot be omnipotent, and any entity defined as being omnipotent cannot exist, since omnipotence is impossible.
maybe if this sig is witty, someone will love me.