Can you solve this?
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Four people meet and make the following statements. Person 1: One or more of us are lying. Person 2: Two or more of us are lying. Person 3: Three or more of us are lying. Person 4: All of us are lying. Which ones are lying?
Wrong is evil and must be defeated. - Jeff Ello
4 is lying, because he if he was telling the truth, that would be a paradox. Therefore, 1 is telling the truth - at least one is lying. If 3 is telling the truth and so is 1 that's two telling teh truth, so 3 is lying as well. Since 3 & 4 are lying, 2 is telling the truth. So 1 & 2 are truthful, 3 & 4 are lying.
"I have no idea what I did, but I'm taking full credit for it." - ThisOldTony "Common sense is so rare these days, it should be classified as a super power" - Random T-shirt AntiTwitter: @DalekDave is now a follower!
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Four people meet and make the following statements. Person 1: One or more of us are lying. Person 2: Two or more of us are lying. Person 3: Three or more of us are lying. Person 4: All of us are lying. Which ones are lying?
Wrong is evil and must be defeated. - Jeff Ello
They all have Alzheimers so everyone and no one? :^) Nobody told me these people were sane anyway...
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4 is lying, because he if he was telling the truth, that would be a paradox. Therefore, 1 is telling the truth - at least one is lying. If 3 is telling the truth and so is 1 that's two telling teh truth, so 3 is lying as well. Since 3 & 4 are lying, 2 is telling the truth. So 1 & 2 are truthful, 3 & 4 are lying.
"I have no idea what I did, but I'm taking full credit for it." - ThisOldTony "Common sense is so rare these days, it should be classified as a super power" - Random T-shirt AntiTwitter: @DalekDave is now a follower!
for some odd reason, after reading your comment, this popped into my mind: Abbott & Costello Who's On First - YouTube[^] :-D
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for some odd reason, after reading your comment, this popped into my mind: Abbott & Costello Who's On First - YouTube[^] :-D
The classics are the ones we remember best! :-D
"I have no idea what I did, but I'm taking full credit for it." - ThisOldTony "Common sense is so rare these days, it should be classified as a super power" - Random T-shirt AntiTwitter: @DalekDave is now a follower!
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Four people meet and make the following statements. Person 1: One or more of us are lying. Person 2: Two or more of us are lying. Person 3: Three or more of us are lying. Person 4: All of us are lying. Which ones are lying?
Wrong is evil and must be defeated. - Jeff Ello
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Well, depends on whether you want the truth or the answer you want. But your question reminded me of this[^] A small warning though, it's politically incorrect on several levels. So if you're sensitive, don't click.
Wrong is evil and must be defeated. - Jeff Ello
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Four people meet and make the following statements. Person 1: One or more of us are lying. Person 2: Two or more of us are lying. Person 3: Three or more of us are lying. Person 4: All of us are lying. Which ones are lying?
Wrong is evil and must be defeated. - Jeff Ello
In answer to your question, yes I can solve this.
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Four people meet and make the following statements. Person 1: One or more of us are lying. Person 2: Two or more of us are lying. Person 3: Three or more of us are lying. Person 4: All of us are lying. Which ones are lying?
Wrong is evil and must be defeated. - Jeff Ello
All of them. Person 1 is lying, because person 1 speaks first, and the statement can't be truthful. Person 2 is lying, because person 2 speaks second, and the statement can't be truthful. Person 3 is lying, because person 3 speaks thirdly, and the statement can't be truthful. Person 4 is lying, because the statement can't be truthful.
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Four people meet and make the following statements. Person 1: One or more of us are lying. Person 2: Two or more of us are lying. Person 3: Three or more of us are lying. Person 4: All of us are lying. Which ones are lying?
Wrong is evil and must be defeated. - Jeff Ello
Are they making their statements one at a time and in the order implied, or are they all talking at once. If they're all talking at once, they're women, and women lie, so they're all lying. What you have to worry about is when they all stop talking. That's when you know you're in trouble.
".45 ACP - because shooting twice is just silly" - JSOP, 2010
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You can never have too much ammo - unless you're swimming, or on fire. - JSOP, 2010
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When you pry the gun from my cold dead hands, be careful - the barrel will be very hot. - JSOP, 2013 -
4 is lying, because he if he was telling the truth, that would be a paradox. Therefore, 1 is telling the truth - at least one is lying. If 3 is telling the truth and so is 1 that's two telling teh truth, so 3 is lying as well. Since 3 & 4 are lying, 2 is telling the truth. So 1 & 2 are truthful, 3 & 4 are lying.
"I have no idea what I did, but I'm taking full credit for it." - ThisOldTony "Common sense is so rare these days, it should be classified as a super power" - Random T-shirt AntiTwitter: @DalekDave is now a follower!
That is the answer I came up with also.
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Four people meet and make the following statements. Person 1: One or more of us are lying. Person 2: Two or more of us are lying. Person 3: Three or more of us are lying. Person 4: All of us are lying. Which ones are lying?
Wrong is evil and must be defeated. - Jeff Ello
There might be more than 1 solution, I don't know. But one valid solution is:
Statement TRUE FALSE
One or more of us are lying. x
Two or more of us are lying. x
Three or more of us are lying. x
All of us are lying. xI solved this with brute force, as there are only 16 possible combinations. But you can also approach this heuristically: If two or more are lying, then one or more are lying all the more. Same goes for 3 => 2 and all => 3. So the answer can only consist of one or more TRUEs followed by one or more FALSEs. So, this is the only valid answer. Aside from: "Who cares?" ;-) But obviously at least I do. :-(
