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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I like GΓΆdel numbering as a means of proving that it is impossible to have a complete model of logic.
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.
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.
Bootstrap paradox is my favourite time paradox. I loved Doctor Who's explanation.
The usual answer is yes, but he survives. Basically this isn't a paradox for something actually all powerful.
I think Nietzsche already killed god decades ago. But not sure which one.
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.
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 god paradox can god create a rock so heavy even he can't lift it ? Also bootstrap paradox and grandfather paradox.