The bartender asks “Do all three of you want a beer?”
The first logician says “I don’t know”.
The second logician says “I don’t know.”
The third logician says “Yes.”
For this joke to logically work, logicians must be weird people who always know whether they want a beer or not. Because if it happened that the first guy just hadn’t made his mind up yet, then the third guy’s conclusion could be wrong.
They all had made up their mind. You don’t need to know the others decision to answer No to the question, but you do to say yes. If the first didn’t want a beer they could definitively answer no. They did, but didn’t know the others decisions so couldn’t say yes. Same with the 2nd. The third could say yes because he knew the other two didn’t say no, so whatever they wanted was the answer
OCs point was that if the first person hadn’t made up their mind yet, that would also cause them to say “i don’t know”, but the two following logicians seem to assume that the first person said “i don’t know” because they wanted it but didn’t know if the other two did
It’s a false dichotomy and faulty logic if you look too closely
But it’s a pretty funny joke
Logicians is the keyword here… There are only 2 possible answers: yes (true) or no (false)
In logic there is no other option
If any logician hadn’t made up his mind, then the answer to “do all of you want a beer” would be False, i. e. No.
The idea that a Yes/No question can have any other state is not possible for these cartoonish logicians.
(Of course, “logicians” do not exist. The closest thing in real life are mathematicians and computer scientists who are trained in logic, and these people known that the real world works differently than the simple logic presented in this joke, so your point is valid at some level, but it doesn’t invalidate the joke)
“logicians” do not exist
Well, then, what would you call a professor of logic?
Logicians certainly do exist. Some of them might be called mathematicians or philosophers but that doesn’t mean they’re not logicians.
So these logicians of yours, do they all want a beer?
Yes, humans who study logic and specialize in it exist, and you can call them logicians, but the point is that they have a much broader understanding of math, philosophy and different modes of logic than the “logicians” used in these jokes, who are caricatures that paradoxically are called logicians, but at the same time only follow a very basic mode of logic that is taught in undergraduate classes.
Such logicians do not exist and cannot exist.
First guy knows he wants a beer, but doesn’t know if the others do, so says he doesn’t know if all three do. However, if he had not wanted a beer, he would have known that not all three wanted one, and therefore would have said no. Which means the second guy then knows that the first guy wants a beer, but does not know if the third does. So he says he doesn’t know. That gives the third guy, who also wants a beer, with enough information to say that all three want a beer
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none of them would go to a bar if they didn’t mean to consume some drink – therefore we can assume all of them knew whether they wanted a beer or not.
No? Have you never been in a group of drinkers while staying sober yourself. Heck, have you never even met such a person?
There are non-alcoholic drinks in bars too.
I find It pretty funny told my high school teacher this joke once and he looked at me really weird hahaha.
A specialist of ancient logic is of course an paleontologist.