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Guest Message by DevFuse

Coins

Started by rookie1ja, Mar 30 2007 04:50 PM

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83 replies to this topic

#81 nicksd832

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1 posts

Posted 20 July 2008 - 12:34 AM

"I will refuse to accept the silver or copper coin."

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#82 Mr_Logic

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2 posts

Posted 10 April 2009 - 05:30 PM

Coins - Back to the Logic Problems
Imagine there are 3 coins on the table: gold, silver, and copper. If you make a truthful statement, you will get one coin. If you make a false statement, you will get nothing.
What sentence can guarantee you getting the gold coin?

Spoiler for Solution
Coins - solution
"You will give me neither copper nor silver coin." If it is true, then I have to get the gold coin. If it is a lie, then the negation must be true, so "you give me either copper or silver coin", which would break the given conditions that you get no coin when lying. So the first sentence must be true.

Spoiler for old wording

Imagine there are 3 coins on the table. Gold, silver and copper. If you say a truthful sentence, you will get one coin. If you say a false sentence, you get nothing. Which sentence can guarantee gaining the gold coin?

Your "solution" is NOT accurate. You are missing the key word here: "GUARANTEE". Your sentence does NOT guarantee the gold coin. (If the "coingiver" planned on giving the sivler coin for the first truthful statement, then your sentence would be false. No guarantee.)

Now, here are the stipulations:
1. A truthful STATEMENT gets ONE COIN [undefined as to WHICH coin.]. (*There is no defined limit to the number of truthful statements.)
2. ONE sentence must GUARANTEE the gold coin.

Therefore, the answer is simple: One sentence, 3 truthful statements. You get all 3 coins, INCLUDING the gold. GUARANTEED!!

Example: "Our sun is a star, our Earth is a planet, and our moon orbits the Earth."

GUARANTEED.

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#83 sirenacarolina

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4 posts

Posted 07 October 2009 - 07:39 AM

how about...

" If there are 3 coins on the table, then you will give me a gold coin." ???

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#84 bluej322

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1 posts

Posted 02 February 2010 - 02:39 AM

"I will get no coins"

Assuming that every statement I make has a loophole and can be proven false, respond with a statement that complies with the inevitable answer.