For some reason "The following statement is true." "The previous statement is false." has always tried to send my brain into an infinite loop.
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Not a paradox but Roko's Basilisk is a fun one
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.
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.
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...
The Grandfather Paradox, I'm partial to that one as well.
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.
I was playing with this recently. Suppose you are playing rock, paper, scissors with yourself from a few minutes into the future. Your future self “remembers” what you will play and so as long as you play normally, future self always wins. But change the rules a bit and play where future you goes first.
In a normal game, you should always win because you clearly see how future you played, but future you played to counter what future you remembers present you playing…
E.g. future you remembers playing paper, and so plays scissors. You see scissors and go go play rock, but that should be impossible because future you doesn’t remember playing rock.
The weird thing to me is not that the second scenario (where future you goes first fails) but that playing normally (both going at the same time) works. I think the paradox emerges when future knowledge is introduced to the past. In the normal game, future you does not expose future knowledge until the exact moment you play and cause that knowledge to exist in your present, but in the altered game, the introduction of future knowledge creates a feedback loop.
Of course the game isn’t needed. Simply seeing future you conveys the fact that you exist in the future. Should you, for example (and please don’t do this) see near future you then stab your arm with scissors, you will miss or be stopped because future you does not have a wounded arm.
I wonder what happens if future you’s arm is out of sight. would you be able to stab your arm then only for future you to then reveal a wounded arm?
Newcomb’s 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.
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?
Is this really a paradox or is it just an annoying sentence?
As in, these two things can not both exist, yet you're asking me what would happen if they did, even though they can't.
I think Nietzsche already killed god decades ago. But not sure which one.
The god paradox can god create a rock so heavy even he can't lift it ? Also bootstrap paradox and grandfather paradox.