Not a paradox but Roko's Basilisk is a fun one
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Roku's basilisk just doesn't make sense to me because any semi-competent AI would be able to tell that it is not punishing the people that failed to help create it it's just wasting energy punishing a simulacrum.
We are not going to suddenly be teleported into a future of torment. If the AI had the ability to pluck people out of the past it should have no reason to waste it on torture porn.
In gridiron football, if a penalty is committed close enough to the end zone, instead of the normal penalty yardage, the ball is spotted half the distance to the goal (i.e. if a defender holds an offensive player and the offense is 8 yards away from the end zone, instead of being penalized the normal 10 yards they would be penalized 4). In theory, there can be an infinite amount of penalties to the point where penalties would move the ball micrometers or even shorter without the ball ever crossing the end zone.
There's probably a name for this phenomenon, but I can't think of it.
Zeno's paradox. Although in reality you'll run into problems when you need to move the ball 1/2 the Planck distance
Something like Zeno's paradox.
The usual answer is yes, but he survives. Basically this isn't a paradox for something actually all powerful.
Newcombβs paradox is my favourite. You have two boxes in front of you. Box B contains $1000. You can either pick box A only, or both boxes A and B. Sounds simple, right? No matter what's in box A, picking both will always net you $1000 more, so why would anyone pick only box A?
The twist is that there's a predictor in play. If the predictor predicted that you would pick only box A, it will have put $1,000,000 in box A. If it predicted that you would pick both, it will have left box A empty. You don't know how the predictor works, but you know that so far it has been 100% accurate with everyone else who took the test before you.
What do you pick?
I pick box A, then later pay the predictor his cut, which will work because he would have predicted I would do so.
The box with $1,000,000?
To some people the answer is obviously box A β you get $1,000,000 because the predictor is perfect. To others, the answer is obviously to pick both, because no matter what the predictor said, it's already done and your decision can't change the past, so picking both boxes will always net you $1000 more than picking just one. Neither argument has any obvious flaw. That's the paradox.
Bootstrap paradox is my favourite time paradox. I loved Doctor Who's explanation.
Assuming time travel exists: is it possible to alter the past?
If an event occurs, and you decide to travel back in time to change/prevent that event: It has no longer occurred in the way that caused you to want to change it; thus you never travel back to change it, and it does occur...
I think that just shows that time travel doesn't exist.
Perhaps. Unless you consider multiverse theory: The idea that the act of traveling to the past splits the timeline into two realities. One containing the original (to your perspective) timeline with the event(s) that caused you to travel back, and a second where you've arrived in the past to alter those events and the results there of.
Not sure I believe it, but it's a theory none the less.
Or maybe it's only possible to travel forward in time. Closer to our current understanding of the universe.
The Grandfather Paradox, I'm partial to that one as well.
I think Nietzsche already killed god decades ago. But not sure which one.
So, I like the Roko's Basalisk paradox.
Basically, a super-powered future A.I. that knows whether or not you will build it. If you decide to do nothing, once it gets built, it will torture your consciousness forever (bringing you "back from the dead" or whatever is closest to that for virtual consciousness ability). If you drop everything and start building it now, you're safe.
Love the discussion of this post, btw.
If you have a sword that can cut through anything, and a shield that can absorb any damage unharmed, what happens if you swing the sword at the shield?
If someone believes that God can do anything, ask them if he can create a rock he can't pick up
The god paradox can god create a rock so heavy even he can't lift it ? Also bootstrap paradox and grandfather paradox.
The two slit experiment.
In classical logic, trichotomy on the reals (any given numbers is either >0, <0 or =0) is provably true; in intuitionistic logic it is probably false. Thanks to Godel's incompleteness theorem, we'll never know which is right!
I think this lacks imagination. Why would warping basic logic be beyond a reality-creating god's abilities?
Then again, perhaps you're talking about the Abrahamic God, in which case lacking imagination is already the premise.