Some Parlor games are incorrect/broken.

[Bullhawk]

I just got a parlor game where I had 3 statements on each box.
Blue box states that: "A box with a true statement is empty." "A box with a false statement is empty." "The white box is empty."
White box states that: "A box with only true statements is empty." "The black box is empty." "A box with a statement that is also on another box is empty."
Black box states that: "A box with more than one false statement is empty." "The black box is empty." "A box with no true statements is empty."

Blue box can't be the fully true one, because the first two statements would make every box empty. Which means that either white or black have to be fully true, in which case "The black box is empty." statement has to be true, since it's on both of them. That means that Blue box has to be the fully false box, because the black and white boxes both contain a true statement. I opened the white box, because blue box stated that it was empty, which should've been a lie, but the it turned out to be a truth, because white box was empty.

[ricky1981]

I think your first assumption is wrong.

- "A box with a true statement is empty."
- "A box with a false statement is empty."

These can both be true since they say "a box" not "all boxes".

[Quinbee]

I would say the gems are in the black box.
Blue = All Truth
White = Mixed (1st statement true, 2nd and 3rd false)
Black = All False

I think what tripped you up (from my perspective) is blue's statements. "A box with a true statement is empty" I interpret as "there is a box that has a true statement and it is empty", not that "any box with a true statement is therefore empty"

[BobThePenguin]

I'd also pick the black box.

If black is lying, then all its statements can refer to itself:
- The black box is not empty.
- A box with no true statements is not empty.
- A box with more than one false statement is not empty.

Blue would then be telling the truth:
- A box with a true statement is empty (itself, or white)
- A box with a false statement is empty (white)
- The white box is empty.

White is a mixed bag:
- A box with only true statements is empty (true, white)
- The black box is empty (false)
- A box with a statement that is also on another box is empty (true if referring to white).