Ygrene Imref
Well-Known Member
Of course, by being all powerful you could get close to being all knowing, but not quite. By being all knowing you could get close to being all powerful, but not quite.
It is not possible to be both all knowing and all powerful.
Why not? Just because infinity is asymptotic doesn't mean it isn't tangent to some other "infinite" characteristic at one, or many points. Even, they may have the same/similar domains.
If you were all knowing, you would know everything, even about the future. This means that you would know exactly what you are going to do way before you do it, and you know what other people are going to do. You cannot change what you or they are going to do otherwise you would not be all knowing since you would have got it wrong.
You can change anything, but the infinite would have already generated all possible outcomes that would occur if any perturbation is made to the system. In QM, it is usually said that the distribution of probabilities of respective wavefunction collapses when a state is observed, but there is no uncertainty principle with omniscience. So, you can actually measure, for example, the position of an event, and it's evolution (change) with perfect accuracy and precision. Well you cant, and neither can I. But, I don't see a paradox with infinity being able to emcompass everything.
Therefore to be all knowing, you can't be all powerful. If you were all powerful, you would be able to change your mind, meaning that you were wrong, and so you are not all knowing.
I would argue that if you are all knowing, you are (or have the potential to be) all poweful, and everywhere at once. If you know everything, you can manipulate natural laws in a way that seems like magic to finite entities. This is sometimes reflected in art (comics) where an unpowered entity with genius level intellect is able to take on god-like opponents.
I do see the paradox you bring up, however. And, it is a paradox. But, the remedy for this paradox is to know that infinity is NOT a number in mathematics; it is a generator. So, it is possible that "omni" underestimated by finite creatures. We have no idea how to perceive the generator of infinity, let alone the different infinity generatora, where they are touching/tangent, where they intersect, etc. And, generators have a rate, so God doesn't just stay at infinity; He generates infinity infinitely at an infinite infinity rate. It is ridiculous to us because it is categorically outside of our entire space.
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