Just need confirmation on a Parlor paradox.

[TheLastDesperado]

I think my Parlor puzzle success rate is probably at something like 66% now, but I just wanted a little confirmation on a statement I've seen pop up a couple of times now.

Paraphrasing: "The other two statements are true."

Am I right in thinking this is a paradox? Because if the other two are true, then that means this box itself would also be true, but that can't be because there has to be at least one false statement. So that must mean that the box that says this is inherently false, right?

Like I say I've done this at least a couple of times now, but I don't think I've ever got the gems from this one.

[Monpad]

Yes, a box saying "The other two statements are true" has to be false.

[rumpelstiltskin]

technically it's not a "paradox". a paradox needs to be self-referential, or be reducible to self-referential, e.g. "statement on this box is false". some parlor puzzles do employ such paradoxes.

[Fishy]

Originally posted by rumpelstiltskin:

technically it's not a "paradox". a paradox needs to be self-referential, or be reducible to self-referential, e.g. "statement on this box is false". some parlor puzzles do employ such paradoxes.

Paradoxes don't need to be self-referential, but that box is indeed always False.

[rumpelstiltskin]

Originally posted by Fishy:

Originally posted by rumpelstiltskin:

technically it's not a "paradox". a paradox needs to be self-referential, or be reducible to self-referential, e.g. "statement on this box is false". some parlor puzzles do employ such paradoxes.

Paradoxes don't need to be self-referential, but that box is indeed always False.

in the context of this game, i think they do (possibly always as well, but can't be sure yet). the only way to create a paradox is to have something reducible to P(a)=!P(a)