Logic Problem #1
There are two people, Jerry and Matthew. Jerry lives in the illustrious city of Paradise, and Matthew lives in the devastating city of Notparadise. There is a bridge that connects the two cities. In the middle of the bridge, there are 3 trolls.
Troll 1: "If Jerry gets on, Matthew will push Jerry off the bridge, but if Matthew gets on the bridge, Jerry will push him off."
Troll 2: "Troll 1 is a complete liar. Everything he says is false."
Troll 3: "What I am about to say is not true: Jerry won't push Matthew off.
If there are 2 COMPLETELY truthful trolls, and 1 COMPLETE liar troll, who are the two truthful trolls?
Truthful means EVERYTHING said is true Liar means EVERYTHING said is false
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
To solve this problem, let's avaliate all sentences of Troll 1,2 and 3. Well, Troll 1 and Troll 3 tells us an sentence which doesn't contradict each other, at very last, Troll 3 proposition can be inserted into Troll 1 proposition.
By this finding, we must get our attention to Troll 2 statement, which tells us about not himself, but others.
If troll 2 tells us that troll 1 is a COMPLETE liar, it means that his two conditionals are false: it's false that If Jerry gets on, Matthew will push Jerry off the bridge, but if Matthew gets on the bridge, Jerry will push him off.
If this is COMPLETE FALSE, Troll 3 sentence gotta be false too, because it says that Jerry will push Matthew off, a sentence, as i said, that is included into Troll 1 sentence.
In this way the problem will constitute an ABSURD, because 2 trolls MUST be thruthful, and in this case, we have 2 liar Trolls.
BY ABSURD, TROLL 1 AND 3 GOTTA BE THE TRUTHFULS TROLLS.
And sorry if i commited any english error.