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.”
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.”
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.