The Logic of the Anagram

The principle of the anagram is the principle of arrangement - anagrammatic operations on the levels of words, phrases, and strings of words are some of the simplest and yet most affecting machine writings. It is witnessing the mechanism learning to spell.

LETTER

I broke the letter of it to keep the sense. - Alfred Lord Tennyson.

[Learnt fondly, snored.] [Sly, fat, nerd Londoner.][Old loner, trendy fans.]

Letter: One of 26 common values in the English alphabet (QWERTY set), with capitals, accents and punctuation diregarded.

 

The style of letters ought to be free, easy, and natural. - Walsh.

 

None could expound what this letter meant. - Chaucer.

 

We must observe the letter of the law, without doing violence to the reason of the law and the intention of the lawgiver. - Jer. Taylor.

 

Webster's Revised Unabridged Dictionary (1913)

Letter \Let"ter\, n. [OE. lettre, F. lettre, OF. letre, fr. L. littera, litera, a letter; pl., an epistle, a writing, literature, fr. linere, litum, to besmear, to spread or rub over; because one of the earliest modes of writing was by graving the characters upon tablets smeared over or covered with wax. --Pliny, xiii. 11. See {Liniment}, and cf. {Literal}.] 1. A mark or character used as the representative of a sound, or of an articulation of the human organs of speech; a first element of written language.

4. Verbal expression; literal statement or meaning; exact signification or requirement.

5. (Print.) A single type; type, collectively; a style of type.

Letter \Let"ter\ (l[e^]t"t[~e]r), v. t. [imp. & p. p. {Lettered} (-t[~e]rd); p. pr. & vb. n. {Lettering}.] To impress with letters; to mark with letters or words; as, a book gilt and lettered.

WordNet (r) 1.6

letter n 1: a written message addressed to a person or organization; "wrote an indignant letter to the editor" [syn: {missive}] 2: the conventional characters of the alphabet used to represent speech; "his grandmother taught him his letters" [syn: {letter of the alphabet}, {alphabetic character}] 3: a strictly literal interpretation (as distinct from the intention); "he followed instructions to the letter"; "he obeyed the letter of the law" 4: an award earned by participation in a school sport; "he won letters in three sports" [syn: {varsity letter}] v 1: win an athletic letter, in sports 2: set down or print with letters 3: mark letters on or mark with letters

WORD

Why should calamity be full of words? - William Shakespeare.

[I am a weakish speller.][I'll make a wise phrase.][We all make his praise.]

Word: A valid finite set of letters arranged in a particular order, capitals, accents and punctuation regardless.

 

Amongst men who confound their ideas with words, there must be endless disputes. - Locke.

 

A glutton of words. - Piers Plowman

 

In the beginning, there was the word.

From Webster's Revised Unabridged Dictionary (1913) (web1913)

Word \Word\, n. [AS. word; akin to OFries. & OS. word, D. woord, G. wort, Icel. or[eth], Sw. & Dan. ord, Goth. wa['u]rd, OPruss. wirds, Lith. vardas a name, L. verbum a word; or perhaps to Gr. "rh`twr an orator. Cf. {Verb}.] 1. The spoken sign of a conception or an idea; an articulate or vocal sound, or a combination of articulate and vocal sounds, uttered by the human voice, and by custom expressing an idea or ideas; a single component part of human speech or language; a constituent part of a sentence; a term; a vocable.

2. Hence, the written or printed character, or combination of characters, expressing such a term; as, the words on a page.

5. Signal; order; command; direction.

WordNet (r) 1.6

word n 1: a unit of language that native speakers can identify; "words are the blocks from which sentences are made"; "he hardly said ten words all morning" 2: a brief statement; "he didn't say a word about it" 3: new information about specific and timely events; "they awaited news of the outcome" [syn: {news}, {intelligence}, {tidings}] 4: the divine word of God; the second person in the Trinity (incarnate in Jesus) [syn: {Son}, {Word}, {Logos}] 5: a promise; "he gave his word" [syn: {parole}, {word of honor}] 6: a secret word or phrase known only to a restricted group; "he forgot the password" [syn: {password}, {watchword}, {parole}, {countersign}] 7: the sacred writings of the Christian religion; "he went to carry the Word to the heathen" [syn: {Bible}, {bible}, {Good Book}, {Holy Scripture}, {Holy Writ}, {Scripture}, {Word of God}, {Word}] 8: an exchange of views on some topic; "we had a good discussion"; "we had a word or two about it" [syn: {discussion}, {give-and-take}] 9: a verbal command for action; "when I give the word, charge!" 10: a word is a string of bits stored in computer memory; "large computers use words up to 64 bits long" v : put into words or an expression; "He formulated his concerns to the board of trustees" [syn: {formulate}, {phrase}, {articulate}]

The Free On-line Dictionary of Computing (05 Sep 00)

word A fundamental unit of storage in a computer. The size of a word in a particular computer architecture is one of its chief distinguishing characteristics. The size of a word is usually the same as the width of the computer's {data bus} so it is possible to read or write a word in a single operation. An instruction is usually one or more words long and a word can be used to hold a whole number of characters. These days, this nearly always means a whole number of {bytes} (eight bits), most often 32 or 64 bits. In the past when six bit {character sets} were used, a word might be a multiple of six bits, e.g. 24 bits (four characters) in the {ICL 1900} series.

DICTIONARY

I applied myself to the perusal of our writers; and noting whatever might be of use to ascertain or illustrate any word or phrase, accumulated in time the materials of a dictionary. - Dr Samuel Johnson.

[Shod journals, men.][O, shun major lends!]

Dictonary: The set of all valid words (sets of letters) listed in a single resource (a lexicon or word list).

 

 

Webster's Revised Unabridged Dictionary (1913)

Dictionary \Dic"tion*a*ry\, n.; pl. {Dictionaries}. [Cf. F. dictionnaire. See {Diction}.] 1. A book containing the words of a language, arranged alphabetically, with explanations of their meanings; a lexicon; a vocabulary; a wordbook.

2. Hence, a book containing the words belonging to any system or province of knowledge, arranged alphabetically; as, a dictionary of medicine or of botany; a biographical dictionary.

WordNet (r) 1.6

dictionary n : a reference book containing an alphabetical list of words with information about them [syn: {lexicon}]

The Devil's Dictionary ((c)1911 Released April 15 1993)

DICTIONARY, n. A malevolent literary device for cramping the growth of a language and making it hard and inelastic. This dictionary, however, is a most useful work.

ANAGRAM

The law of the anagram is the law of symbolic conservation of mass.

Anagram: A word, such that its set of letters are exactly equivalent to the set of letters in another word.

Webster's Revised Unabridged Dictionary (1913)

Anagram \An"a*gram\, n. [F. anagramme, LL. anagramma, fr. Gr. ? back, again + ? to write. See {Graphic}.] Literally, the letters of a word read backwards, but in its usual wider sense, the change or one word or phrase into another by the transposition of its letters. Thus Galenus becomes angelus; William Noy (attorney-general to Charles I., and a laborious man) may be turned into I moyl in law.

WordNet (r) 1.6

anagram n : a word or phrase spelled by rearranging the letters of another word or phrase v : read letters out of order to discover a hidden meaning [syn: {anagrammatize}]

 

The Anagram in Practice

Given the laws above, consider a reflexive example:

Anagram
A NAG MAR
A NAG ARM
A NAG RAM
A RANG AM
A RANG MA
A RAG MAN
ANAGRAM
MANA RAG
AMRA NAG
RAG AM AN
RAG MA AN

Thus a SORTER can generate a wide variety of anagrams, including a ROSTER of perfect anagrams, the REST OR remainder being perfect matches with are not whole words. A final SET of partials might be considered as a last RESORT.

The two raw result sets in the linds above were generated by the

(http://www.wordsmith.org/anagram)

Consdering these sets raises an important point in anagram generation which is exploied by most such services. When extrapolated into phrases, sentences, and passages, a common special exception to the law of the anagram is that blank spaces are not conserved. This special exception is important, because relatively few words or phrases in the dictionary have exact anagrams when spaces are held constant - ANAGRAM, for example, itself has no anagram unless space is considered fluid. Once it is, an anagram is also A RAG MAN - tattered in three segments, but perhaps none the worse for wear.

Within the constraint system described thus far, a machine can create data dumps of anagrammatic content. Take for example an anagrammatic confrontation between our trusty authors, this project, and the mechanism.

Jeremy Hart Douglass constrained authorings Elizabeth Freudenthal
(9922) (23811) (25001)

Click on a link to load the result set from the Internet Anagram Server, but be warned - it will take to load, and an interminable time to read.

The problem is that the mechanism of the anagram itself because wildly generative when spaces are not held constant, yet in a multi-word context 99% of anagrammatic outputs make no sense - letters are arranged in a valid order to make words, however sets of words are not arranged or even clustered to create grammatic or conceptual coherancy. The mechanism has returned to firing grapeshot wildly at the target of language, hoping for a hit.

Filtering Anagrammatic Content

Many anagram server systems recognize the desire for sense in the excercise, and have added levels of processing to filter results down to those which will entertain and delight rather than simply fulfill the logical requirements of the excercise. A good example is

AnagramGenius
(http://www.anagramgenius.com/)

which site offers many sophisticated name manipulation services, and gives back results which have been filtered for topicality and interest. Many of their more advanced functions are accessible on a pay basis only, and they sell a client-side version of their software.

Out of 9922 possible anagrams returned by the original system for Jeremy Hart Douglass, and 25001 for Elizabeth Freudenthal, AnagramGenius returns only 100 for each - not the first 100, but the result set filtered according to a mechanical difference of interest. [Note that as the two services are probably using slightly different dictionaries, their results will never be exactly analogous]. This definition apparently includes words being as long as possible, and also possibly an index rating system of interest which has been compiled by humans (i.e. master is ranked as more interesting than stream). Although the concept of grammatic sense or thematic coherancy is not approached by the mechanism, these simple principles are used to return only those results which are assumed to be the most interesting - with the hope that interest may influence reception and thus coincide with coherancy.

Jeremy Hart Douglass constrained authorings Elizabeth Freudenthal
(100)

(100)

(100)

Jeremy Hart Douglass constrained authorings Elizabeth Freudenthal
(100)

(100)

(100)

These files were returned by AnagramGenius using its free server feature, which emails a result set to the user.

As the size of the anagramatic operation increases, the size of the result set to be dealt with (preferrably mechanically before being read by human eyes) increases exponentially. This is in part a curse, but in part a blessing - after all, the number of things one can say with few symbols or words which 'make sense' are extremely limited - that is the nature of baby talk. When one increases scope, this becomes less of a problem. For example, the phrase "symbolic conservation of mass" anagrams easily into:

A fictive ABC. So mourn my loss, son.

Although as a textual fragment it is at least as nonsensical as many of the shorter generations ("Ghastly, re-used major?") human creativity can stare at its rorchak and quickly cobble together a narrative explanation of how the output is logically connected to the input. The anagram, or symbolic conservation of mass, is here lambasted by a weary paternal author-figure as "a fictive ABC." This machine writing seems to have led to the loss of traditional human the author, which the child is told to mourn.

Maybe a stretch. But with thousands upon thousands of results to pick and choose from, and the relative ease of assembling 10 word sets (as opposed to 4 or 3 words) into sentences and clauses, human readers have all the stretching room in the world. The question is, will the mechanism grow more advanced in doing its own picking and choosing at the level of the paragraph... the sentence? Or does this kind of meaning generation require an entirely new logic, with an entirely new set of components?

Even as the systems stand today, there is much to be done in teaching the mechanism to sing. For example, the Tennyson and Johnson anagrams listed above were based on machine output - based on, but reordered by the authors to create narrative effect. Is this reordering merely a step away for the mechanism? Conside that it took several hours of creative processing for the humans to attain even dubious results. O, shun major lends! barely makes sense even with a detailed knowledge of Johnson's history of problems with sponsorship. As for rendering is his habit of writing introductions and biographical sketches as Shod journals, men... well, an implication rather than an explication, and one gets the feeling that the energy put into it might not always be got out again.

Perhaps mechanizing this next step to 'sense' is far more difficult than teaching the mechanism to speak from scratch?

When information wants to be free, all use is fair.
However, Webster's 1913 has a special place in the world
of contemporary machine writings in all areas.
They require the processing of text en masse -
and it is currently public domain.

special thanks to the free
Hypertext Webster Gateway service.

 

 

constrained authorings
, copyleft 2000
elizabeth freudenthal and jeremy douglass
ucsb hyperfictions seminar in english
professor alan liu
all writes re-served