[Blood of Tyrants]

I got them all except #3.

[cuban leaf]

I had a hard time with the “logician” ones.

[SoothingDave]

They can’t know if they “all” want a beer until all three have made their decision. So the third one can say “yes.”

[SpinnerWebb]

I’ll explain 3 to you if you explain 13 to me.

[JoeDetweiler]

If L-1 did not want a beer, then he could answer the question “No.” That he didn’t say “No” means that he does want a beer. But he can’t answer “Yes” because he does not know about L-2 & L-3.

Similar for L-2.

But L-3 knows that L-1 and L-2 want beers, because they didn’t say “No.” So he can answer “Yes.”

[grania]

When the first two said "I don't know" it must have meant they were getting a drink, since the question was are they ALL getting a drink. Just one saying no would make the answer to the question "no".

So, the third person knew that the other two were getting drinks, and all he was answering is that he was getting a drink.

[ShadowAce]

The logic is that they are focused on the word "all."

The first answers without knowing the answers of the other two, The second one answers without knowing the answer of the third. The third one then answers for all of them.

[So Cal Rocket]

They’re asked if ALL of them want a drink.

If Logician #1 doesn’t want a drink, then he will answer “NO”. If he does want a drink then he will answer “I don’t know”, because he does not know if the other two Logicians want a drink.

Since Logician #1 answers “I don’t know”, Logicians #2 and #3 know that Logician #1 wants a drink.

Now, if Logician #2 doesn’t want a drink, then he will answer “No”. If he does want a drink, then he will answer “I don’t know”, because he doesn’t know if Logician #3 wants a drink.

Since Logician #2 answers “I don’t know”, Logician #3 now knows that both Logicians #1 and #2 want a drink. With this knowledge and the knowledge that he himself wants a drink, he can then answer “Yes” to the question.

[reed13k]

On 3 question was if ‘all’ wanted a drink - logically the first two couldn’t answer until the third did so they didn’t know - they could only answer no (because I don’t so not all three or I don’t know because of the others- until the third heard the orlther two day they didn’t know them he could say yes)... Logically

[RinaseaofDs]

The first two logicians couldn’t answer the bartenders question until the third one indicated yes. Do ALL OF YOU want a beer?

If either of the first two had answered no, then either the second or the third would have answered no, which is why the third could declare YES. Had either of the first two NOT wanted a beer, the answer to the bartender’s question would be no.