If everything you say is a lie, then the statements ‘everything you say is a lie’, and ‘you always tell the truth’ are both lies. Which means the first statement could be that some things you say are lies and you always tell the truth is one of those lies.
Also if the genie is a thinking agent or even just capable of detecting an infinite loop this falls apart.
Imagine trying to ward off a genie by yelling: “THIS STATEMENT IS FALSE!”
POV you’re about to encounter a little ol’ Fate Worse Than Death
EVERYTHING I SAY IS A LIE, I ALWAYS TELL THE TRUTH!
instant
If everything you say is a lie, then the statements ‘everything you say is a lie’, and ‘you always tell the truth’ are both lies. Which means the first statement could be that some things you say are lies and you always tell the truth is one of those lies.
But it worked on Star Trek…
You are now stuck in an infinite loop with a rabbit and turtle.
I am a strange loop
I love your username. Is it meant to be a naughty bilingual pun?
Nope, it’s turtles all the way down.