In mathematics, abstract nonsense, general abstract nonsense, and general nonsense are terms used facetiously by some mathematicians to describe certain kinds of arguments and methods related to category theory. (Very) roughly speaking, category theory is the study of the general form of mathematical theories, without regard to their content. As a result, a proof that relies on category theoretic ideas often seems slightly out of context to those who are not used to such abstraction, sometimes to the extent that it resembles a comical non sequitur. Such proofs are sometimes dubbed “abstract nonsense” as a light-hearted way of alerting people to their abstract nature.
More generally, “abstract nonsense” may refer to any proof (humorous or not) that uses primarily category theoretic methods, or even to the study of category theory itself. Note that referring to an argument as "abstract nonsense" is not supposed to be a derogatory expression, and is actually often a compliment regarding the sophistication of the argument.
Famous quotes containing the words abstract and/or nonsense:
“The Germans are always too late. They are late, like music, which is always the last of the arts to express a world condition,—when that world condition is already in its final stages. They are abstract and mystical.”
—Thomas Mann (1875–1955)
“The cot we shared is almost a prison
where I can’t say buttercup, bobolink,
sugarduck, pumpkin, love ribbon, locket,
valentine, summergirl, funnygirl and all
those nonsense things one says in bed.”
—Anne Sexton (1928–1974)