For some reason "The following statement is true." "The previous statement is false." has always tried to send my brain into an infinite loop.

Not a paradox but Roko's Basilisk is a fun one

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.

Bootstrap paradox is my favourite time paradox. I loved Doctor Who's explanation.

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 usual answer is yes, but he survives. Basically this isn't a paradox for something actually all powerful.

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?

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?

Movement of any kind is a paradox if measured

https://en.wikipedia.org/wiki/Zeno%27s_paradoxes

I think Nietzsche already killed god decades ago. But not sure which one.

Monty Hall

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.

https://youtu.be/5kfGRO6msQw?si=QT0kAyZAQtTMuBdT

https://youtu.be/b9O6iCM4vCg?si=2Ep0lbf-omjl0Cgp