[Guest]

Shadow was vacationing on the Isle of Begile. On this island the natives always lie and the visitors always tell the truth. While walking along the beach, Shadow was approached by two ladies who introduced themselves as Josie and Cricket. Cricket said to Shadow, "I am a native, but Josie is a visitor." Are the two ladies both natives, both visitors, or one of each?

[Guest]

Shadow was vacationing on the Isle of Begile. On this island the natives always lie and the visitors always tell the truth. While walking along the beach, Shadow was approached by two ladies who introduced themselves as Josie and Cricket. Cricket said to Shadow, "I am a native, but Josie is a visitor." Are the two ladies both natives, both visitors, or one of each?

Edited July 11, 2008 by zymurgy

[Guest]

Isn't this a paradox?, If she's saying she's a native, then she can't be a native because she would have to lie and she can't be a visitor because she would be lying.

[Guest]

This one confuses even me. But neither a native OR a visitor would ever say they are a native.

[Guest]

Yes. Very true. A paradox.

[Guest]

But what about Josie? is she a native or a visitor?

[Guest]

The statement as a whole is a lie, so they are both natives.

[Guest]

Shadow was vacationing on the Isle of Begile. On this island the natives always lie and the visitors always tell the truth. While walking along the beach, Shadow was approached by two ladies who introduced themselves as Josie and Cricket. Cricket said to Shadow, "I am a native, but Josie is a visitor." Are the two ladies both natives, both visitors, or one of each?

This is like :

The Sentence Below is A Truth

-----------------------------------

The Sentence Above is a Lie

[Guest]

Yes. Very true. A paradox.

I don't see the paradox. If they are both natives, the statement is still a lie, which is logically consistent. Of course, they would have been lying about their names as well, so Josie could be anyone.

[Guest]

It is impossible for a native to say they are a native. A native always lies so if a native says he is a native, then in reality he is a visitor (since he'd have lied about being a native), but if he is a visitor, then he'd have told the truth about being a visitor. Cricket could only have said she is a visitor (if she is a visitor then she'd tell the truth and say she's a visitor, if she's a native she'd lie and say she's a visitor).

[Guest]

A paradox indeed, you can't solve it.

[Guest]

if you treat the statement as a combination of two statements, then they both must be true for the whole thing to be true. so cricket could say that she is a native and josie is a visitor if they are both natives because part of what she said is still a lie. so they are both natives

Edited July 11, 2008 by griffin

[Guest]

if you treat the statement as a combination of two statements, then they both must be true for the whole thing to be true. so cricket could say that she is a native and josie is a visitor if they are both natives because part of what she said is still a lie. so they are both natives

However, the problem states that they ALWAYS lie, so everything they say must be a lie and if they are two different statements, one is correct and the other one isn't, so she is neither a native or a visitor.

[Guest]

i stick by what i said trogdor and also the answer that she is neither a native or a visitor is not one of the answers given to choose from by no go zone

[Guest]

are u sure that Josie IS Josie n Cricket IS Cricket???

they may be lying for all you know!!

[Guest]

Theyre both natives

Reasoning: if Cricket were a visitor, she would have to tell the truth and say that she were a visitor. thus she must be a native. since she says a sentence with two parts, only one part of the sentence must be false to make her statement a lie. since the first part says that she is a native, it cant be the lie, so the lie must be that josie is a visitor. thus josie is a native as well.

[Guest]

Theyre both natives

Reasoning: if Cricket were a visitor, she would have to tell the truth and say that she were a visitor. thus she must be a native. since she says a sentence with two parts, only one part of the sentence must be false to make her statement a lie. since the first part says that she is a native, it cant be the lie, so the lie must be that josie is a visitor. thus josie is a native as well.

Excellent deduction. Both of the women are natives. The statement that Cricket made is obviously false since neither a visitor nor a native would ever say that they are a native. Since we know that Cricket is a native, and that the FIRST part of her statement is true, we know the SECOND part of her statement hhas to be false. THe last part of her statement said that her friend Josie is a visior, and therefore, we can deduce that both Josie and Cricket are...in fact...natives.

[Guest]

Nice riddle very perplexing

[Guest]

Nice riddle very perplexing

why thank you. i know tons of them if you want to hear any!