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You are debating a point with a colleague. Your colleague is wrong but to prove they are wrong you have to use information you know but cannot share. So, you leave things unsaid. Of course, someone who does not know the facts would also leave things unsaid by definition.
The listener knows that silence either conveys the fact that something is known but cannot be said or that nothing is known. Their inference takes the fact that you might know something but cannot say it into account. They should give you the benefit of the doubt. The benefit depends on how likely you are to know things that cannot be said. Hence, if the person leaving things unsaid is senior to the listener, the listener might defer to the speaker. Hence, seniority leads to authority via the inference content from leaving things unsaid.
“I consider that a man’s brain originally is like a little empty attic, and you have to stock it with such furniture as you choose. A fool takes in all the lumber of every sort that he comes across, so that the knowledge which might be useful to him gets crowded out, or at best is jumbled up with a lot of other things so that he has a difficulty in laying his hands upon it. Now the skillful workman is very careful indeed as to what he takes into his brain-attic. He will have nothing but the tools which may help him in doing his work, but of these he has a large assortment, and all in the most perfect order. It is a mistake to think that that little room has elastic walls and can distend to any extent. Depend upon it there comes a time when for every addition of knowledge you forget something that you knew before. It is of the highest importance, therefore, not to have useless facts elbowing out the useful ones.”