I read a short story where SETI researchers were able to identify and decipher a signal from the region of Cassiopeia, but when the alien language was decoded, it was just a long philosophical treatise entirely about trinary logic. It seemed that interstellar travel was impossible for both us and them, and they were unaware of any other civilizations, and also uninterested in discussing anything "practical". Most of Earth was disappointed and annoyed, but the story was about one philosopher in particular who got really into the alien logic system.
I read it around 2005 but it was in a compilation including past decades, similar to "The Road to Science Fiction". The stories were by multiple authors, over a dozen. I'm guessing this story was from about the 1980s based on what I recall of the writing style, but I don't want to guess at what other stories were in there, since I read several anthologies at that time.