If God must be omniscient, God doesn’t exist
Isn’t this “gotcha” argument rendered unsound by something akin to “Existence is a predicate”. Looking for someone who knows more about formal logic: Can a predicate reference itself in that way?
For the record, I don’t believe an omniscient being exists.
But omniscience isn’t disproven by describing a paradox. The paradox is observable and definable, and therefore knowable. This doesn’t disprove God any more than an Escher painting disproves architects.
Are you claiming architects are real?
You really expect me to believe that some aRcHiTeCt designed your house? Were you there?
Exactly. Omnipotence does not actually include the ability to do impossible things, contrary to popular definitions. It means to have unlimited power, which could be used to do anything that’s possible to do.
Like, imagine if you had access to infinite electricity. You could do godlike things with that, even create black holes. But you still couldn’t create paradoxes.
The thought of that is pretty hostile to religious definitions of God, however.
So think of the laws of physics as the rules in a video game. You can jump X feet, you can throw 2 fireballs at a time. The developer is generally bound by those rules, but he can also modify the source code whenever he sees fit. If he wants to push an update that allows him, and only him, to jump X+1 feet, nothing is stopping him.
Right, but 1+1 still cannot equal to 3 in that video game. You could do all kinds of horrible tricks to make it seem so, but they are just that - tricks.
Paradoxes are by definition impossible, even in a modified version of physics.
When you modify the rules to make the impossible possible, it ceases to be a paradox
I guess I didn’t explain very well. Basically there are some things which are still impossible even if you change the rules. This remains true even beyond full control of the properties of the universe.
Well put, I really like this thought and never came across it before.
Yeah, maybe said another way, no matter how much energy you control, you still can’t make 1+1 equal to 3. You could convince a high percentage of people that it’s true, and smite anyone who says otherwise. But deep down, paradoxes are beyond even God.
Yeah, not tracking the meme, but we can articulate paradoxes with things like the Christian god, which basically just pitches their own lore against itself.
Paradoxes do however undermine concepts of omnipotence or omniscience. Absolutes do not hold. And religion runs around squirting absolutes out of its ass everywhere.
I don’t disagree with your criticism of religion, but semantic absolutes are like mathematical infinity, you can approximate the concept, but standard logic fails when discussing the actual thing. It’s the inverse of dividing by zero, because a set that includes everything necessarily divides everything else into nothing.
Consider the infinite hotel. You work at the desk in a hotel with infinite rooms. There’s always room for more guests. But then an infinite bus pulls up with infinite guests. Good luck they came to you, because you’re the only hotel that has room for everyone. Infinite hotel, infinite rooms, you’re just about to turn on the No Vacancy sign when a second infinite bus pulls up. They have another infinite group of guests. Shit, you’re already full, right? Nope, all you need to do is have the group from bus 1 stay in the even numbered rooms, and bus 2 stays in the odd number rooms. Easy peasy.
The thing is, infinity exists. We know it exists. The hotel does not exist, but just because it doesn’t exist does not mean it cannot exist. Time is infinite. Consider a hypothetical bacteria that reproduces every second, simultaneously dying and creating a new bacteria. If you were to number them forever, you would never run out of numbers nor would you run out of bacteria. But if you had a second one in a second petri dish, you could number them with even numbers in one dish and odd numbers in the other. You would never run out of numbers, but you’d have twice as many infinite bacteria.
Now take the paradox of the unliftable boulder. Could an omnipotent creator make a boulder so large that the omnipotent mover could not move it? Yes. First, the omnipotent creator makes the boulder, because there is nothing they cannot make. Then, the omnipotent mover moves the boulder, because there is nothing they cannot move.
Religion is a tool, a crutch used by people uncomfortable with uncertainty. There are things we don’t know, things we can’t know, and things we’ll never know. Faith allows a person to pretend they know all three.
I like the creativity in some of your examples, but I think I missed your point about infinity. Okay, it exists. Hotels, bacteria, got it. How does infinity play into the topic here?
Infinity is a mathematical absolute. It can be bounded conceptually, but the set of numbers is unlimited. Absolute power can by bounded conceptually (omniscience is knowing everything, omnipresence is being everywhere always) but the power is unlimited within those bounds. You can think of those as infinite knowledge, or infinite presence. Infinity breaks traditional logic the same way it breaks basic math.
So just as
infinity + 1 = infinity
{all known things by an omniscient being} + some new unknown = {all known things by an omniscient being}
Now, if you wanted to disprove something, the existence of an omnipotent, omniscient creator is inconsistent with the concept of free will. At the moment of creation, the being would be fully and solely responsible for all things that have happened, are happening now, and will ever happen. I don’t like the idea that we can all absolve ourselves of guilt or responsibility by claiming “God’s plan” and the just wank on while other people suffer unimaginable horror. Believing in God is an abdication of your place in the world, even if your faith guides you to do good works.
The statement is only generates a contradiction if there is an omniscient being. If there are no omniscient beings, it is consistent.
The idea is that it is impossible for a being to both know and not know something. Knowable is not the same as known to a particular being
If there is an omniscient being, the statement is known. It’s internal inconsistency doesn’t make it unknowable. Omniscience isn’t bound by strict semantic logic.
Like, I couldn’t disprove you exist by saying “You don’t know this statement is true.”
I’ve heard theists argue that presenting god with paradoxes, like asking him to make a square circle, does not nullify or place limits on him. But damn it’s such a losing rhetorical position, even if it sounds reasonable, it shows what shaky ground the entire bogus enterprise of religion is based on. “My god is omnipotent! Except for… you know… things!” If they were just a little mor imaginative they could use an argument about extra dimensions to show how god can create square circles.
Any reasonably powerful god could make a non-Euclidean spacetime in which the points equidistant from a central point also form 4 straight line segments of equal length that meet at right angles.
I also think the classic rock so heavy it can’t be lifted fails, for the same reason that an omnipotent god could clearly commit suicide, if it wanted to (and once it did, it would no longer have the capability to perform other actions).
The omniscience thing is harder, because of things like incompleteness theorem, but I don’t think I can really describe what it means to know everything in the first place. “Able to provide a true, and comprehensive answer to any question for which a true, and comprehensive answer is possible” doesn’t seem to give any contradictions, but as you mention has the feel of dancing around all the hard issues.
Am I god now? (so the square isn’t quite a constant width, but the triangle is. Well. assuming I made it right, it is.)
Am I god now?
No, but you’re nearly Franz Reuleaux
This statement is false
“Don’t think about it, Don’t think about it”
Erm, true. I’m gonna go with true.
En passant, christians!
Gödel’em!
