Tongue-in-cheek description of category theory and abstract mathematics
In mathematics, abstract nonsense, general abstract nonsense, generalized abstract nonsense, and general nonsense are nonderogatory terms used by mathematicians to describe long, theoretical parts of a proof they skip over when readers are expected to be familiar with them.[1] These terms are mainly used for abstract methods related to category theory and homological algebra. More generally, "abstract nonsense" may refer to a proof that relies on category-theoretic methods, or even to the study of category theory itself.
^Weisstein, Eric W. "Abstract Nonsense". mathworld.wolfram.com. Retrieved 2023-07-28.
In mathematics, abstractnonsense, general abstractnonsense, generalized abstractnonsense, and general nonsense are nonderogatory terms used by mathematicians...
Nonsense is a communication, via speech, writing, or any other symbolic system, that lacks any coherent meaning. In ordinary usage, nonsense is sometimes...
associating a geometrically defined space (a standard n-simplex) with each abstract simplex in Δ-set, and then "gluing" the spaces together using inclusion...
as general abstractnonsense or generalized abstractnonsense. [The paper of Eilenberg and Mac Lane (1942)] introduced the very abstract idea of a 'category'...
In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures. Algebraic structures include groups...
1017/CBO9780511810763. ISBN 978-0-521-86153-3. Direct sum of matrices at PlanetMath. Abstractnonsense: Direct Sum of Linear Transformations and Direct Sum of Matrices Mathematics...
Abstract art uses visual language of shape, form, color and line to create a composition which may exist with a degree of independence from visual references...
isomorphic to C. So B is again the direct sum of A and C. An alternative "abstractnonsense" proof of the splitting lemma may be formulated entirely in category...
category theory Saunders Mac Lane Samuel Eilenberg Max Kelly William Lawvere André Joyal Mathematics portal Abstractnonsense Glossary of category theory...
cohomology). Wikiquote has quotations related to Homological algebra. Abstractnonsense, a term for homological algebra and category theory Derivator Homotopical...
which are considered "divine" or "God-given" in origin), calling them "nonsense upon stilts". Bentham was also a sharp critic of legal fictions. Bentham's...
_{n}}~.} This algebra is called the Weyl algebra. It follows from abstractnonsense that the Weyl algebra Wn is a quotient of U ( h n ) {\displaystyle...
03106 "Abstractnonsense", a (usually ironic) term for category theory and category-theoretic arguments in homological algebra "Generalized abstract nonsense"...
also: Dialetheism, Contradiction, and Paradox Related, facetious abstractnonsense describes certain kinds of arguments and methods related to category...
incongruity, non-sequiturs, irrational or absurd situations, and expressions of nonsense. Surreal humour grew out of surrealism, a cultural movement developed in...
is left exact, and the above Rf!, whose existence is guaranteed by abstractnonsense, is indeed the derived functor of this f!. Moreover f! is right adjoint...
other current approach. The disadvantages of relying on so-called abstractnonsense are a certain blandness and abstraction in the sense of breaking away...
The Topology of Fiber Bundles; believed to have coined the phrase "abstractnonsense," used in category theory Edward G. Begle (MA 1936), educator and...
Freytag-Loringhoven's suicide, the sound poem was "a mourning song in nonsense sounds that transcended national boundaries". The Baroness was also known...
elementary class). This short proof is an effective application of abstractnonsense; the stronger result by Tarski that RRA is in fact a variety required...
platonism. He wrote that "set theory is wrong", since it builds on the "nonsense" of fictitious symbolism, has "pernicious idioms", and that it is nonsensical...
I. Artistic movements and techniques associated with modernism include abstract art, stream of consciousness in literature, cinematic montage, atonal and...
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