Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Abstract nonsense
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
==History== The term predates the foundation of category theory as a subject itself. Referring to a joint paper with [[Samuel Eilenberg]] that introduced the notion of a "[[category (mathematics)|category]]" in 1942, [[Saunders Mac Lane]] wrote the subject was 'then called "general abstract nonsense"'.<ref name="maclane">Saunders Mac Lane. "[http://www.pnas.org/content/94/12/5983.full The PNAS way back then]". ''Proc. Natl. Acad. Sci. USA'' Vol. 94, pp. 5983β5985, June 1997. :"''The first of these papers is a more striking case; it introduced the very abstract idea of a "category"βa subject then called "general abstract nonsense"!''"</ref> The term is often used to describe the application of category theory and its techniques to less abstract domains.<ref>[https://web.archive.org/web/20040726025100/http://www.csupomona.edu/~jis/1999/lord.pdf An Application of Abstract Nonsense to Surface Area], Harriet Lord</ref><ref>[http://www.edsko.net/tcd/talks/cattheory.pdf Abstract Nonsense for Functional Programmers] {{Webarchive|url=https://web.archive.org/web/20150206192631/http://www.edsko.net/tcd/talks/cattheory.pdf |date=2015-02-06 }}, Edsko de Vries</ref> The term is believed to have been coined by the mathematician [[Norman Steenrod]],<ref>Colin McLarty, ''The Uses and Abuses of the History of Topos Theory'', Br. J. Philos. Sci., 41 (1990) p 355. : "''Steenrod jokingly tagged category theory 'abstract nonsense' and made it central to his axiomatics for homology''"</ref><ref name="rotman">Joseph Rotman, "''An Introduction to Homological Algebra'', by Charles A. Weibel" (book review), Bull. Am. Math. Soc., 33:4 (Oct. 1996) 473β476. :"''The self-deprecating phrase ''general abstract nonsense'' (due to Steenrod) was promulgated by Eilenberg and Mac Lane, two of the major innovators of homological algebra, to highlight this aspect of the subject.''"</ref><ref name="lang">[[Serge Lang]], "Algebra" Second Edition, Addison Wesley, 1984, p 175</ref> himself one of the developers of the categorical point of view.
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)