Metamagical Themas
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''Metamagical Themas'' is an eclectic collection of articles that
Douglas Hofstadter Douglas Richard Hofstadter (born February 15, 1945) is an American scholar of cognitive science, physics, and comparative literature whose research includes concepts such as the sense of self in relation to the external world, consciousness, an ...
wrote for the
popular science ''Popular Science'' (also known as ''PopSci'') is an American digital magazine carrying popular science content, which refers to articles for the general reader on science and technology subjects. ''Popular Science'' has won over 58 awards, incl ...
magazine '' Scientific American'' during the early 1980s. The anthology was published in 1985 by
Basic Books Basic Books is a book publisher founded in 1950 and located in New York, now an imprint of Hachette Book Group. It publishes books in the fields of psychology, philosophy, economics, science, politics, sociology, current affairs, and history. ...
. The volume is substantial in size and contains extensive notes concerning responses to the articles and other information relevant to their content. (One of the notes—page 65—suggested memetics for the study of
memes A meme ( ) is an idea, behavior, or style that spreads by means of imitation from person to person within a culture and often carries symbolic meaning representing a particular phenomenon or theme. A meme acts as a unit for carrying cultural i ...
.) Major themes include: self-reference in
meme A meme ( ) is an idea, behavior, or style that spreads by means of imitation from person to person within a culture and often carries symbolic meaning representing a particular phenomenon or theme. A meme acts as a unit for carrying cultural ...
s, language, art and logic; discussions of philosophical issues important in cognitive science/AI; analogies and what makes something similar to something else (specifically what makes, for example, an uppercase letter 'A' recognizable as such); and lengthy discussions of the work of Robert Axelrod on the prisoner's dilemma, as well as the idea of
superrationality In economics and game theory, a participant is considered to have superrationality (or renormalized rationality) if they have perfect rationality (and thus maximize their utility) but assume that all other players are superrational too and that a ...
. The concept of superrationality, and its relevance to the Cold War, environmental issues and such, is accompanied by notes on experiments conducted by the author at the time. Another notable feature is the inclusion of two dialogues in the style of those appearing in '' Gödel, Escher, Bach''.
Ambigram An ambigram is a calligraphic design that has several interpretations as written. The term was coined by Douglas Hofstadter in 1983. Most often, ambigrams appear as visually symmetrical words. When flipped, they remain unchanged, or they muta ...
s are mentioned. There are three articles centered on the
Lisp programming language Lisp (historically LISP) is a family of programming languages with a long history and a distinctive, fully parenthesized prefix notation. Originally specified in 1960, Lisp is the second-oldest high-level programming language still in common us ...
, in which Hofstadter first details the language itself, and then shows how it relates to Gödel's incompleteness theorem. Two articles are devoted to
Rubik's Cube The Rubik's Cube is a 3-D combination puzzle originally invented in 1974 by Hungarian sculptor and professor of architecture Ernő Rubik. Originally called the Magic Cube, the puzzle was licensed by Rubik to be sold by Pentangle Puzzles in ...
and similar puzzles. Many chapters open with an illustration of an extremely abstract alphabet, yet one which is still gestaltly recognizable as such. The game of
Nomic Nomic is a game created in 1982 by philosopher Peter Suber, the of which include mechanisms for changing those rules, usually beginning by way of democratic voting. The game demonstrates that in any system where rule changes are possible, a si ...
was first introduced to the public in this column, in June 1982, when excerpts from a book (still unpublished at the time) by the game's creator
Peter Suber Peter Dain Suber (born November 8, 1951) is a philosopher specializing in the philosophy of law and open access to knowledge. He is a Senior Researcher at the Berkman Klein Center for Internet & Society, Director of the Harvard Office for Scholarly ...
were printed and discussed. The index of the book mentions Hofstadter's recurring alter ego, Egbert B. Gebstadter.


List of Hofstadter's "Metamagical Themas" columns

From January 1957 through December 1980,
Martin Gardner Martin Gardner (October 21, 1914May 22, 2010) was an American popular mathematics and popular science writer with interests also encompassing scientific skepticism, micromagic, philosophy, religion, and literatureespecially the writings of Lew ...
's "
Mathematical Games A mathematical game is a game whose rules, strategies, and outcomes are defined by clear mathematical parameters. Often, such games have simple rules and match procedures, such as Tic-tac-toe and Dots and Boxes. Generally, mathematical games n ...
" column was a monthly feature in '' Scientific American'' magazine. In 1981, Gardner's column alternated with a new column by Hofstadter called "Metamagical Themas" (an
anagram An anagram is a word or phrase formed by rearranging the letters of a different word or phrase, typically using all the original letters exactly once. For example, the word ''anagram'' itself can be rearranged into ''nag a ram'', also the word ...
of "Mathematical Games"). Then Hofstadter's column appeared monthly from January 1982 through July 1983."Stories by Douglas R. Hofstadter"
''Scientific American''.


French edition

''Metamagical Themas'' was also published in French, under the title ''Ma Thémagie'' (InterEditions, 1988), the translators being Jean-Baptiste Berthelin, Jean-Luc Bonnetain, and Lise Rosenbaum. The wordplay was lost in the French title, and replaced with another one (''ma Thémagie'' would translate to "my themagy", where "themagy" is a
neologism A neologism Greek νέο- ''néo''(="new") and λόγος /''lógos'' meaning "speech, utterance"] is a relatively recent or isolated term, word, or phrase that may be in the process of entering common use, but that has not been fully accepted int ...
, but could also be read as ''maths et magie'', which translates to "maths and magic"). The translators had contemplated ''Le matin des métamagiciens'', which would have been a play on Hofstadter's title plus ''Le Matin des Magiciens'' and ''Jeux malins des mathématiciens'' (respectively, ''The Dawn of the Magicians'' and ''Clever Tricks of Mathematicians''); however, the publisher found that suggestion to be too elaborate.


Reception

David Langford, Dave Langford reviewed ''Metamagical Themas'' for '' White Dwarf'' #88, and stated that "a heady mixture of computers, art, mathematics, philosophy, jokes and above all games."


References


External links

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A Person Paper on Purity in Language
, one of the included essays, first published in September 1983 {{Douglas Hofstadter 1985 books Basic Books books Books by Douglas Hofstadter Cognitive science literature Philosophy books Works originally published in American magazines