Samizdat

Publishing the Forbidden. All Rights Reserved. © Samizdat 2014-2023.

Tag: 1903

Eco: The Babel of A Posteriori Languages

Giuseppe_Peano

Giuseppe Peano (1858-1932), Italian mathematician, circa 1910. Photographer unknown. This work is in the public domain in its country of origin and other countries and areas where the copyright term is the author’s life plus 100 years or less. 

“Among the international artificial languages, the project that was presented in 1734 under the pseudonym of Carpophorophilus probably takes the prize for seniority; the next was Faiguet’s Langue Nouvelle; after this, in 1839, was the Communicationssprache of Schipfer. After these, there came a tide of IALs in the nineteenth century.

If one takes samples from a number of systems, a set of family resemblances soon appears. There is usually a prevalence of Latin roots plus a fair distribution of roots derived from other European languages.

In this way, the speakers of any one of the major European languages will always have the impression of being in, at least partially, familiar territory:

“Me senior, I sende evos un grammatik e un verb-bibel de un nuov glot nomed universal glot. (Universal sprache, 1868).

Ta pasilingua era una idioma per tos populos findita, una lingua qua autoris de to spirito divino, informando tos hominos zu parlir, er creita. (Pasilingua, 1885).

Mesiur, me recipi-tum tuo epistola hic mane gratissime. (Lingua, 1888).

Con grand satisfaction mi ha lect tei letter [ . . . ] Le possibilità de un universal lingue pro la civilisat nations ne esse dubitabil. (Mondolingue, 1888).

Me pen the liberté to ecriv to you in Anglo-Franca. Me have the honneur to soumett to yoùs inspection the prospectus of mès object manufactured. (Anglo-Franca, 1889).

Le nov latin non requirer pro la sui adoption aliq congress. (Nov Latin, 1890).

Scribasion in idiom neutral don profiti sekuant in komparision ko kelkun lingu nasional. (Idiom Neutral, 1902).”

In 1893 there even appeared an Antivolapük which was really an anti-IAL: it consisted of nothing but a skeletal universal grammar which users were invited to complete by adding lexical items from their own language; for example:

French-international: IO NO savoir U ES TU cousin . . .

English-international: IO NO AVER lose TSCHE book KE IO AVER find IN LE street.

Italian-international: IO AVER vedere TSCHA ragazzo e TSCHA ragazza IN UN strada.

Russian-international: LI dom DE MI atijez E DE MI djadja ES A LE ugol DE TSCHE ulitza.

Of like perversity was Tutonisch (1902), an international language only comprehensible to German speakers (or, at most, to speakers of Germanic languages like English).

Thus the opening of the Lord’s Prayer sounds like this: “vio fadr hu be in hevn, holirn bi dauo nam.” The author was later merciful enough to provide Romance-language speakers with a version of their own, so that they too might pray in Tutonisch: “nuo opadr, ki in siel, sanktirn bi tuo nom.”

If our story seems to be taking a turn for the ridiculous, it is due less to the languages themselves (which taken one by one are frequently well done) than to an inescapable “Babel effect.”

Interesting on account of its elementary grammar, the Latino Sine Flexione of the great mathematician and logician Giuseppe Peano (1903) was wittily designed. Peano had no intention of creating a new language; he only wanted to recommend his simplified Latin as a written lingua franca for international scientific communication, reminiscent of the “laconic” grammars of the Encyclopédie.

Peano stripped Latin of its declensions, with, in his own words, the result that: “Con reductione qui praecede, nomen et verbo fie inflexible; toto grammatica latino evanesce.”

Thus, no grammar (or almost no grammar) and a lexicon from a well-known language. Yet this result tended perhaps to encourage pidgin Latin. When an English contributor wished to write for one of the mathematical journals which, under the influence of Peano, accepted articles in Latino Sine Flexione, he naturally retained the modal future; thus he translated, “I will publish” as me vol publica.

The episode is not only amusing: it illustrates the possibility of an uncontrolled development. As with other international languages, Latino Sine Flexione depended less upon its structural merits than on establishing a consensus in its favor. Failing to achieve this, it became another historical curiosity.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 321-4.

Eco: The International Auxiliary Languages

Couturat & Leau, Histoire de la Langue Universelle, 1903

Louis Couturat (1868-1914) & Léopold Leau (1868-1943), Histoire de la langue universelle, Hachette, Paris, 1903, held in the Bibliothèque nationale de France, and archive.org. This work is in the public domain in its country of origin and other countries and areas where the copyright term is the author’s life plus 100 years or less. 

“The dawn of the twentieth century witnessed a revolution in transport and communications. In 1903 Couturat and Leau noted that it was now possible to voyage around the world in just forty days; exactly one half of the fateful limit set by Jules Verne just thirty years before.

Now the telephone and the wireless knitted Europe together and as communication became faster, economic relations increased. The major European nations had acquired colonies even in the far-flung antipodes, and so the European market could extend to cover the entire earth.

For these and other reasons, governments felt as never before the need for international forums where they might meet to resolve an infinite series of common problems, and our authors cite the Brussels convention on sugar production and international accord on white-slave trade.

As for scientific research, there were supranational bodies such as the Bureau des poides et  mesures (sixteen states) or the International Geodesic Association (eighteen states), while in 1900 the International Association of Scientific Academies was founded.

Couturat and Leau wrote that such a growing of scientific information needed to be organized “sous peine de revenir à la tour de Babel.”

What could the remedy be? Couturat and Leau dismissed the idea of choosing a living language as an international medium as utopian, and found difficulties in returning to a dead language like Latin.

Besides, Latin displays too many homonyms (liber means both “book” and “free”), its flexions create equivocations (avi might represent the dative and ablative of avis or the nominative plural of avus), it makes it difficult to distinguish between nouns and verbs (amor means both love and I am loved), it lacks a definite article and its syntax is largely irregular . . . The obvious solution seemed to be the invention of an artificial language, formed on the model of natural ones, but which might seem neutral to all its users.

The criteria for this language should be above all a simple and rational grammar (as extolled by the a priori languages, but with a closer analogy with existing tongues), and a lexicon whose terms recalled as closely as possible words in the natural languages.

In this sense, an international auxiliary language (henceforth IAL) would no longer be a priori but a posteriori; it would emerge from a comparison with and a balanced synthesis of naturally existing languages.

Couturat and Leau were realistic enough to understand that it was impossible to arrive at a preconceived scientific formula to judge which of the a posteriori IAL projects was the best and most flexible. It would have been the same as deciding on allegedly objective grounds whether Portuguese was superior to Spanish as a language for poetry or for commercial exchange.

They realized that, furthermore, an IAL project would not succeed unless an international body adopted and promoted it. Success, in other words, could only follow from a display of international political will.

What Couturat and Leau were facing in 1903, however, was a new Babel of international languages invented in the course of the nineteenth century; as a matter of fact they record and analyze 38 projects–and more of them are considered in their further book, Les nouvelles langues internationales, published in 1907.

The followers of each project had tried, with greater or lesser cohesive power, to realize an international forum. But what authority had the competence to adjudicate between them?

In 1901 Couturat and Leau had founded a Delégation pour l’adoption d’une langue auxiliaire internationale, which aimed at resolving the problem by delegating a decision to the international Association of Scientific Academies.

Evidently Couturat and Leau were writing in an epoch when it still seemed realistic to believe that an international body such as this would be capable of coming to a fair and ecumenical conclusion and imposing it on every nation.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 317-9.

Eco: The Last Flowering of Philosophic Languages, 2

Giovan Giuseppe Matraja, Genigrafia italiana, 1831

Giovanni Giuseppe Matraja, Genigrafia italiana, 1831. Original held at the University of Illinois at Urbana-Champaign, with a glorious eBook format posted by the Hathitrust and GoogleBooks among others. This work is in the public domain in its country of origin and other countries and areas where the copyright term is the author’s life plus 100 years or less. 

Vismes was not the only one to fall foul of this seemingly elementary snare. In 1831 Father Giovan Giuseppe Matraja published his Genigrafia italiana, which is nothing other than a polygraphy with five (Italian) dictionaries, one for nouns, one for verbs, one for adjectives, one for interjections and one for adverbs.

Since the five dictionaries account for only 15,000 terms, Matraja adds another dictionary that lists 6,000 synonyms. His method managed to be both haphazard and laborious: Matraja divided his terms into a series of numbered classes each containing 26 terms, each marked by an alphabetical letter: thus A1 means “hatchet,” A2 means “hermit,” A1000 means “encrustation,” A360 means “sand-digger,” etc.

Even though he had served as a missionary in South America, Matraja was still convinced that all cultures used the same system of notions. He believed that western languages (all of which he seemed to imagine were derived from Latin grammar) might perfectly well serve as the basis for another language, because, by a special natural gift, all peoples used the same syntactic structures when speaking–especially American Indians.

In fact, he included a genigraphical translation of the Lord’s Prayer comparing it with versions in twelve other languages including Nahuatl, Chilean and Quechua.

In 1827 François Soudre invented the Solresol (Langue musicale universelle, 1866). Soudre was also persuaded that the seven notes of the musical scale composed an alphabet comprehensible by all the peoples of the world, because the notes are written in the same way in all languages, and could be sung, recorded on staves, represented with special stenographic signs, figured in Arabic numerals, shown with the seven colors of the spectrum, and even indicated by the touch of the fingers of the right and left hands–thus making their representation comprehensible even for the deaf, dumb and blind.

It was not necessary that these notes be based on a logical classification of ideas. A single note expresses terms such as “yes” (musical si, or B) and “no” (do, or C); two notes express pronouns (“mine” = redo, “yours” = remi); three notes express everyday words like “time” (doredo) or “day” (doremi).

The initial notes refer to an encyclopedic class. Yet Soudre also wished to express opposites by musical inversion (a nice anticipation of a twelve-tone music procedure): thus, if the idea of “God” was naturally expressed by the major chord built upon the tonic, domisol, the idea of “Satan” would have to be the inversion, solmido.

Of course, this practice makes nonsense of the rule that the first letter in a three-note term refers to an encyclopedic class: the initial do refers to the physical and moral qualities, but the initial sol refers back to arts and sciences (and to associate them with Satan would be an excess of bigotry).

Besides the obvious difficulties inherent in any a priori language, the musical language of Soudre added the additional hurdle of requiring a good ear. We seem in some way to be returning to the seventeenth century myth of the language of birds, this time with less glossolalic grace, however, and a good deal more pure classificatory pedantry.

Couturat and Leau (1903: 37) awarded to the Solresol the encomium of being “the most artificial and most impracticable of all the a priori languages.” Even its number system is inaccessible; it is based on a hexadecimal system which, despite its claims to universality, still manages to indulge in the French quirk of eliminating names for 70 and 90.

Yet Soudre labored for forty-five years to perfect his system, obtaining in the meantime testimonials from the Institut de France, from musicians such as Cherubini, from Victor Hugo, Lamartine and Alexander von Humboldt; he was received by Napoleon III; he was awarded 10,000 francs at the Exposition Universale in Paris in 1855 and the gold medal at the London Exposition of 1862.

Let us neglect for the sake of brevity the Système de langue universelle of Grosselin (1836), the Langue universelle et analytique of Vidal (1844), the Cours complet de langue universelle by Letellier (1832-55), the Blaia Zimandal of Meriggi (1884), the projects of so distinguished a philosopher as Renouvier (1885), the Lingualumina of Dyer (1875), the Langue internationale étymologique of Reimann (1877), the Langue naturelle of Maldant (1887), the Spokil of Dr. Nicolas (1900), the Zahlensprache of Hilbe (1901), the Völkerverkehrsprache of Dietrich (1902), and the Perio of Talundberg (1904).

We will content ourselves with a brief account of the Projet d’une langue universelle of Sotos Ochando (1855). Its theoretical foundations are comparatively well reasoned and motivated; its logical structure could not be of a greater simplicity and regularity; the project proposes–as usual–to establish a perfect correspondence between the order of things signified and the alphabetical order of the words that express them.

Unfortunately–here we go again–the arrangement is empirical: A refers to inorganic material things, B to the liberal arts, C to the mechanical arts, D to political society, E to living bodies, and so forth.

With the addition of the morphological rules, one generates, to use the mineral kingdom as an example, the words Ababa for oxygen, Ababe for hydrogen, Ababi for nitrogen, Ababo for sulphur.

If we consider that the numbers from one to ten are siba, sibe, sibi, sibo, sibu, sibra, sibre, sibri, sibro, and sibru (pity the poor school children having to memorize their multiplication tables), it is evident that words with analogous meanings are all going to sound the same.

This makes the discrimination of concepts almost impossible, even if the formation of names follows a criterion similar to that of chemistry, and the letters stand for the components of the concept.

The author may claim that, using his system, anyone can learn over six million words in less than an hour; yet as Couturat and Leau remark (1903: 69), learning a system that can generate six million words in an hour is not the same as memorizing, recognizing, six million meanings.

The list could be continued, yet towards the end of the nineteenth century, news of the invention of a priori languages was becoming less a matter for scientific communications and more one for reports on eccentric fellows–from Les fous littéraires by Brunet in 1880 to Les fous littéraires by Blavier in 1982.

By now, the invention of a priori languages, other than being the special province of visionaries of all lands, had become a game (see Bausani 1970 and his language Markuska) or a literary exercise (see Yaguello 1984 and Giovannoli 1990 for the imaginary languages of science fiction).

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 305-8.

Eco: Eighteenth Century Projects, 2

Fenelon Adventures of Telemachus

François de Salignac de la Mothe-Fénelon, aka François Fénelon (1651-1715), frontispiece and title page of the 1715 English translation of Les Aventures de Télémaque, The Adventures of Telemachus, first published in French in 1699. This work is in the public domain in its country of origin and other countries and areas where the copyright term is the author’s life plus 100 years or less. 

“Even though the primitives were no longer such, they remained a compositional criterion. For instance, given in first position the letter a, which refers to grammar, the depending letters have a mere distinctive value and refer back to grammatical sub-categories.

A third and final letter specifies a morphological termination or other derivation. Thus a list of terms is derived: ava (grammar), ave (letter), alve (vowel), adve (consonant) and so on. The expressions function like a chemical formula, which synthetically reveals the internal composition of its content, and like a mathematical expression in that the system attributes to each letter a value determined by its position.

Nevertheless, this theoretical perspicuity is bought at a dear price because, in practice, the lexicon becomes obsessively monotonous.

Equally, the Pasigraphie of De Maimieux institutes a graphic code of twelve characters that can be combined according to fixed rules. Each combination expresses a definite thought (the model is the Chinese character).

Other characters are placed on the outside of the “body” of the word to modify the central idea. The body of the word can contain three, four or five characters. Words of only three characters signify either “pathetic” terms or connectives linking parts of discourse, and are classified in an indicule.

Words of four characters stand for ideas in practical life (like friendship, kinship, business), and are classified in petit nomenclateur. Five character words concern categories such as art, religion, morality, science and politics, and are classified in a grand nomenclateur.

None of these categories is primitive; they have rather been isolated in terms of common sense as the most manageable way of subdividing contemporary knowledge. De Maimieux went so far as to admit that he had not sought for an absolute ordering but rather any ordering whatsoever, fût-il mauvais (p. 21).

The system, unfortunately, provides no way of eliminating synonyms; they are constitutional, and De Maimieux only says how to identify them. In fact, every expression in the pasigraphy can be connected not to a single meaning but to three or four different contents.

These different meanings can be distinguished according to the position of the characters on a sort of pentagram. This method imposes no small amount of tedium on the reader, who, as the characters display no iconic similarity with their content, is continually forced to consult the indicule, the petit nomenclateur or the grand nomenclateur, depending on the length of the expression.

Thus, to give an example, if we run across a five letter syntagm, we must seek first in the grand nomenclateur

“the class that begins with the first character of the term. Inside this class, we seek for the framework listing the second character of the term. Inside this framework, we seek for the column containing the third character of the term. Finding the right column, we seek the section (tranche) with the fourth character of the term.

Finally, within this section we seek the line containing the fifth character. At this point we will discover that, as the meaning, we have found a line listing four verbal words; it will then be necessary to observe which of the characters in the pasigraphic term is graphically tallest in order to determine which of the four possible words is the one corresponding to the term.” (Pellerey 1992a: 104).

A real piece of drudgery, though not enough to dampen the ardor of the project’s enthusiasts, who, starting with the abbé Sicard and finishing with various contemporary reviewers wishing to favor the diffusion of the system, entered into pasigraphic correspondence with each other and with De Maimieux, who even composed pasigraphic poetry.

De Maimieux spoke of his pasigraphy as an instrument for checking the accuracy of translations. Many theories of translation, in fact, presuppose the existence of a “parameter language” with which one can control the correct correspondence between the original text and the translated one.

De Maimieux aimed at proposing a supposedly neutral metalanguage which could track the correspondence between expressions in System A and those in system B. What was never placed in discussion was the fact that the content of this metalanguage was structured along the lines of Indo-European languages, and of French in particular.

As a consequence we have “the immense drama of ideography: it can identify and describe its contents, which are supposedly ideas or notions in themselves, only by naming them with words from a natural language–a supreme contradiction for a project created expressly to eliminate verbal languages.” (Pellerey 1992a: 114).

As can be seen, neither in technique nor in underlying ideology have we advanced very far from the time of Wilkins.

This disingenuousness is carried to paroxysms in the Palais de soixante-quatre fenêtres [ . . . ] ou l’art d’écrire toutes les langues du monde comme on les parle (1787, by the Swiss writer J.P. De Ria.

(Editorial note: Eco writes “De Ria,” yet Google returns “Jean-Pierre Deriaz” as the author of the work, and beautifully offers the 1787 document as a free eBook. Thank you, Google. Yet, history must agree with Eco, as the title page depicts the author as “J.P. De Ria,” as Eco attests.).

Despite its pretentious title, the book is nothing but a manual of phonetics or, perhaps, a proposal for the orthographic reform of French, written in a febrile, quasi-mystic style.

It is not in the least clear how the reform could be applied to all the languages of the world (it would, for example, be particularly inapplicable to English phonetics); but this is an unimaginable question for the author.

Returning to De Maimieux, the flexibility displayed in his choice of the pseudo-primitives seems to associate his project with the empiricist tendencies of the Encyclopédie; yet, once they were chose, his belief in them, and the self-confidence with which he sought to impose them on everyone else, still reflected the rationalist temperament.

In this respect, it is interesting to note that De Maimieux sought to provide for the rhetorical use of his language and the possibility of oratory: we are, of course, in a time of eloquence where the life or death of a revolutionary faction might depend on its ability to sway its audience by the force of its words.

Where the a priori linguists of the eighteenth-century were most critical of their predecessors, however, was in the matter of grammar. All were inspired by the “laconic” ideal proposed in the Encyclopédie.

In the grammar of De Maimieux, the number of grammatical categories originally  projected by Faiguet is somewhat amplified; in the case of Delormel, however, the grammar is so laconic that Couturat and Leau (1903: 312), who spend long chapters describing other systems, liquidate his in a page and a half (Pellerey’s treatment is more accurate and generous; 1992a: 125).

Hourwitz, whose project remains akin to the seventeenth century polygraphies, produced a grammar that was, perhaps, the most laconic of all: one declension, one conjugation for verbs; the verbs were to be expressed in the infinitive with a few additional signs that specify tense and mood.

The tenses themselves were reduced to a system of three steps from the present, either backwards or forwards in time: thus A 1200 means “I dance;” A/1200 means “I have danced;” A 1200/ means “I will dance.”

If the grammar was made laconic, it followed that the syntax needed to be drastically simplified as well; Hourwitz proposed retaining the direct word order of French. In this respect, the relevance of Count Antoine de Rivarol’s pamphlet, De l’universalité de la langue française (1784), becomes apparent.

What was the need for a universal language, asked the count, when a perfect language existed already? The language was, of course, French. Apart from its intrinsic perfection, French was already an international language; it was the language most diffused in the world, so much that it was possible to speak of the “French world” just as, in antiquity, one could speak of the “Roman world.” (p. 1).

According to de Rivarol, French possessed a phonetic system that guaranteed sweetness and harmony, as well as a literature incomparable in its richness and grandeur; it was spoken in that capital city which had become the “foyer des étincelles répandues chez tous les peuples” (p. 21).

In comparison with French all other languages paled: German was too guttural, Italian too soft, Spanish too redundant, English too obscure. Rivarol attributed the superiority of French to its word order: first subject, then verb, and last object. This word order mirrored a natural logic which was in accordance with the requirements of common sense.

This common sense is, however, linked to the higher activity of our minds: for if we were to base our syntactical order on the order of our perceptions, it is plain that we would start with the object, which first strikes our senses.

The polemical reference to the sensationalism of Condillac is evident when de Rivarol asserts that, if other people, speaking in other tongues, had abandoned the natural, direct word order, it was because they had let their passions prevail over their intellect (p. 25-6).

This retreat from natural reason, moreover, was responsible for the syntactic inversion that had provoked the confusions and ambiguities prevalent in natural languages other than French. Naturally, those languages which tried to compensate for their lack of direct word order with declensions were among the most confused of all.

We might bear in mind that, even though, in 1784, while he was writing his pamphlet, de Rivarol was an habitué of Enlightenment circles, after the advent of the revolution, he revealed himself to be a conservative legitimist.

To a man so spiritually tied to the ancien régime, the philosophy and linguistics of the sensationalists may (quite justifiably) have appeared as a harbinger of an intellectual revolution which emphasized the passions as the fundamental force motivating humanity.

If this were the case, then “the direct word order acquires the value of an instrument of protection [ . . . ] against the inflammatory style of the public orators who, in a few short years, would be preaching revolution and manipulating the masses.” (Pellerey 1992a: 147).

Yet what really characterized the eighteenth century debate was the desire not so much to simplify grammar as to show that there existed a natural and normal grammar, universally present in all human languages. This grammar is not, however, manifestly apparent; it must be sought instead beneath the surface of human languages, all of which are, in some degree or other, derivations from it.

As can be seen, we have returned to the ideal of a universal grammar, only now one is trying to identify it by reducing every existing language to its most laconic form.

Attentive as we have been throughout this story to the issue of side-effects, we ought here to note that without this eighteenth century intuition of an original, laconic grammar, our contemporary notions of generative and transformational grammar would be quite inconceivable, even if their origins are usually traced back to the Cartesianism of Port Royal.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 296-302.

Eco:Eighteenth Century Projects

Telemaque_1st_page

François Fénelon (1651-1715), Telemachus, or the first page of the first book of Les Aventures de Télémaque, first published anonymously in 1699, and translated into English in London in 1715. This work is in the public domain in its country of origin and other countries and areas where the copyright term is the author’s life plus 100 years or less.  

“Even under the weight of the Enlightenment critique, the dream of the perfect language refused to die. In 1720 there appeared a “Dialogue sur la facilité qu’il y auroit d’établir un Caractère Universel qui seroit commun à toutes les Langues de l’Europe, et intelligible à différens Peuples, qui le liroient chacun dans la propre Langue” (in the Journal littéraire de l’anné 1720).

As the title itself suggests, the project was for a polygraphy, in the sense we saw in Kircher, and, at most, it is worthy of note in that its attempt to include a contracted grammar points the way to future developments.

In any case, the proposal is distinguished by including an appeal, by the anonymous author, for a commission which would develop the project and for a prince who would impose its adoption.

Such an appeal “cannot help but remind us of a possibility, which must have seemed evident in the year 1720, that a phase of stability for Europe was about to open, and that, consequently, sovereigns might be expected to be more willing to patronize linguistic and intellectual experiments” (cf. Pellerey 1992a: 11).

In his article on “Langue” in the Encyclopédie, even a rationalist like Beauzée had to concede that, since it would be difficult to come to an agreement over a new language, and an international language still seemed to him to be necessary, Latin had to remain the most reasonable candidate.

For their part, the empiricists among the encyclopedists felt duty-bound to consider the idea of a universal language, too. As a sort of coda to the article on “Langue,” Joachim Faiguet wrote four pages on a project for a langue nouvelle. Couturat and Leau (1903: 237) consider this as representing a first attempt at overcoming the problems inherent in the a priori languages and at sketching out an example of the a posteriori languages we will be discussing in the next chapter.

As his model, Faiguet took a natural language–French. He formed his lexicon on French roots, and concentrated on the delineation of a simplified and regularized grammar, or a “laconic” grammar.

Following the authors in the previous century, Faiguet eliminated those grammatical categories that seemed to him redundant: he suppressed the articles, substituted flexions with prepositions (bi for the genitive, bu for the dative, and de and po for the ablative), transformed adjectives (indeclinable) into adverbial forms, standardized all plurals (always expressed by an s); he simplified verb conjugations, making them invariable in number and person, adding endings that designated tenses and modes (I give, you give, he gives became Jo dona, To dona, Lo dona); the subjunctive was formed by adding an r to the stem, the passive by the indicative plus sas (meaning to be: thus to be given became sas dona).

Faiguet’s language appears as wholly regular and without exceptions; every letter or syllable used as endings had a precise and unique grammatical significance. Still, it is parasitic on French in a double sense: not only is it a “laconicized” French at the expression-level; it is French that supplies the content-level as well. Thus Faiguet’s was little less than a sort of easy-to-manage Morse code (Bernadelli 1992).

The most important projects for a priori languages in the eighteenth century were those of Jean Delormel (Projet d’une langue universelle, 1795), of Zalkind Hourwitz (Polygraphie, ou l’art de correspondre à l’aide d’un dictionaire dans toutes les langues, même celles dont on ne possède pas seulement les lettres alphabétiques, 1800), and of Joseph de Maimieux (Pasigraphie, 1797).

As can be seen, De Maimieux’s project was a pasigraphy–that is, a universal written language. Since, however, in 1799 this same author had also formulated a pasilalie–adding rules for pronouncing his language–his project can be considered as an a priori language.

For its part, Hourwitz’s project was for a polygraphy, too–even though he seemed unaware that his was by no means the first project of this type. Still, in its structure, Hourwitz’s polygraphy was an a priori language.

Although all three projects still followed the principles laid down in the seventeenth century tradition, they were different in three fundamental ways: their purposes, the identification of their primitives, and their grammars.

Delormel presented his scheme to the Convention; De Maimieux published his Pasigraphie under the Directory; Hourwitz wrote under the Consulate: every religious motivation had disappeared.

De Maimieux spoke of communication between European nations, between Europeans and Africans, of providing a means of checking the accuracy of translations, of speeding up diplomacy and civil and military undertakings, of a new source of income for teachers, writers and publishers who should “pasigraphize” books written in other languages.

Hourwitz added to this list other purely practical considerations, such as the advantages in the relations between doctors and patients or in courtroom procedures. As one symptom of a new political and cultural atmosphere, instead of using the Lord’s Prayer as a sample translation, Hourwitz chose the opening of Fénelon’s Aventures de Télemaque–a work which, despite its moralizing bent, was still a piece of secular literature portraying pagan gods and heroes.

The revolutionary atmosphere imposed, or at least encouraged, considerations of fraternité. Thus Delormel could claim that:

“in this revolutionary moment, when the human spirit, regenerating itself among the French people, leaps forward with renewed energy, is it too much to hope that perhaps [ . . . ] we might offer to the public a new language as well, a language that facilitates new discoveries by bringing students of various nations together, a language that serves as a common term for all languages, a language easy to grasp even for men with but a slight aptitude for instruction, a language, in short, which will soon make out of all the people of mankind a single, grand family? [ . . . ] The Light of Reason brings men together and thus reconciles them; this language, by facilitating its communication, will help to propagate that Light.” (pp. 48-50).

Each of the authors was aware of the objections made by the authors of the Encyclopédie; thus the a priori languages which they proposed were all ordered according to an encyclopedia-like structure, easy to understand and designed upon the model of the eighteenth century system of knowledge.

Gone was the grandiose pansophist afflatus that animated baroque encyclopedias; the criterion of selection was rather that of Leibniz: the inventors of the languages behaved as if they were conscientious librarians hoping to make consultation as easy as possible, without worrying whether or not their ordering corresponded to the theater of the world.

Absent as well was the search for “absolute” primitives; the fundamental categories were the large-scale divisions of knowledge; under these were listed dependent notions attached as sub-headings.

Delormel, for example, assigned different letters of the alphabet to several encyclopedic classes in a way reminiscent not so much of Wilkins as of the anonymous Spaniard–grammar, art of speech, states of things, correlatives, useful, pleasurable, moral, sensations, perception and judgement, passions, mathematics, geography, chronology, physics, astronomy, minerals, etc.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 293-6.

Eco: The Problem of the Primitives

Gottfried Wilhelm von Leibniz, Dissertatio de Arte Combinatoria, frontispiece

Gottfried Wilhelm von Leibniz (1646-1716), Dissertatio de Arte Combinatoria, frontispiece, Dissertation on the Art of Combinations or On the Combinatorial Art, Leipzig, 1666. This work is in the public domain in its country of origin and other countries and areas where the copyright term is the author’s life plus 100 years or less.

“What did Leibniz’s ars combinatoria have in common with the projects for universal languages? The answer is that Leibniz had long wondered what would be the best way of providing a list of primitives and, consequently, of an alphabet of thoughts or of an encyclopedia.

In his Initia et specimina scientiae generalis (Gerhardt 1875: VII, 57-60) Leibniz described an encyclopedia as an inventory of human knowledge which might provide the material for the art of combination.

In the De organo sive arte magna cogitandi (Couturat 1903: 429-31) he even argued that “the greatest remedy for the mind consists in the possibility of discovering a small set of thoughts from which an infinity of other thoughts might issue in order, in the same way as from a small set of numbers [the integers from 1 to 10] all the other numbers may be derived.”

It was in this same work that Leibniz first made hints about the combinational possibilities of a binary calculus.

In the Consilium de Encyclopedia nova conscribenda methodo inventoria (Gensini 1990: 110-20) he outlined a system of knowledge to be subjected to a mathematical treatment through rigorously conceived propositions. He proceeded to draw up a plan of how the sciences and other bodies of knowledge would then be ordered: from grammar, logic, mnemonics topics (sic) and so on to morals and to the science of incorporeal things.

In a later text on the Termini simpliciores from 1680-4 (Grua 1948: 2, 542), however, we find him falling back to a list of elementary terms, such as “entity,” “substance” and “attribute,” reminiscent of Aristotle’s categories, plus relations such as “anterior” and “posterior.”

In the Historia et commendatio linguae characteristicae we find Leibniz recalling a time when he had aspired after “an alphabet of human thoughts” such that “from the combination of the letters of this alphabet, and from the analysis of the vocables formed by these letters, things might be discovered and judged.”

It had been his hope, he added, that in this way humanity might acquire a tool which would augment the power of the mind more than telescopes and microscopes had enlarged the power of sight.

Waxing lyrical over the possibilities of such a tool, he ended with an invocation for the conversion of the entire human race, convinced, as Lull had been, that if missionaries were able to induce the idolators to reason on the basis of the calculus they would soon see that the truths of our faith concord with the truths of reason.

Immediately after this almost mystical dream, however, Leibniz acknowledged that such an alphabet had yet to be formulated. Yet he also alluded to an “elegant artifice:”

“I pretend that these marvelous characteristic numbers are already given, and, having observed certain of their general properties, I imagine any other set of numbers having similar properties, and, by using these numbers, I am able to prove all the rules of logic with an admirable order, and to show in what way certain arguments can be recognized as valid by regarding their form alone.” (Historia et commendatio, Gerhardt 1875: VII, 184ff).

In other words, Leibniz is arguing that the primitives need only be postulated as such for ease of calculation; it was not necessary that they truly be final, atomic and unanalyzable.

In fact, Leibniz was to advance a number of important philosophical considerations that led him to conclude that an alphabet of primitive thought could never be formulated. It seemed self-evident that there could be no way to guarantee that a putatively primitive term, obtained through the process of decomposition, could not be subjected to further decomposition.

This was a thought that could hardly have seemed strange to the inventor of the infinitesimal calculus:

There is not an atom, indeed there is no such thing as a body so small that it cannot be subdivided [ . . . ] It follows that there is contained in every particle of the universe a world of infinite creatures [ . . . ] There can be no determined number of things, because no such number could satisfy the need for an infinity of impressions.” (Verità prime, untitled essay in Couturat 1903: 518-23).

If no one conception of things could ever count as final, Leibniz concluded that we must use the conceptions which are most general for us, and which we can consider as prime terms only within the framework of a specific calculus.

With this, Leibniz’s characteristica breaks its link with the research into a definitive alphabet of thought. Commenting on the letter to Mersenne in which Descartes described the alphabet of thoughts as a utopia, Leibniz noted:

“Even though such a language depends upon a true philosophy, it does not depend upon its perfection. This is to say: the language can still be constructed despite the fact that the philosophy itself is still imperfect.

As the science of mankind will improve, so its language will improve as well. In the meantime, it will continue to perform an admirable service by helping us retain what we know, showing what we lack, and inventing means to fill that lack.

Most of all, it will serve to avoid those disputes in the sciences that are based on argumentation. For the language will make argument and calculation the same thing.” (Couturat 1903: 27-8).

This was not only a matter of convention. The identification of primitives cannot precede the formulation of the lingua characteristica because such a language would not be a docile instrument for the expression of thought; it is rather the calculating apparatus through which those thoughts must be found.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 275-7.

Eco: Characteristica and Calculus

Gottfried Wilhelm von Leibniz, Dissertatio de Arte Combinatoria

Gottfried Wilhelm von Leibniz (1646-1716), Dissertatio de Arte Combinatoria, an excerpt from his first doctoral dissertation, Dissertation on the Art of Combinations, Leipzig, 1666. This work is in the public domain in its country of origin and other countries and areas where the copyright term is the author’s life plus 100 years or less. 

“The theme of invention and discovery should remind us of Lull; and, in fact, Lull’s ars combinatoria was one of Leibniz’s first sources. In 1666, at the age of twenty, Leibniz composed his own Dissertatio de arte combinatoria (Gerhardt 1875: IV, 27-102). But the dream of the combinatoria was to obsess him for the rest of his life.

In his short Horizon de la doctrine humaine (in Fichant 1991), Leibniz dealt with a problem that had already troubled Father Mersenne: how many utterances, true, false or even nonsensical, was it possible to formulate using an alphabet of 24 letters?

The point was to determine the number of truths capable of expression and the number of expressions capable of being put into writing. Given that Leibniz had found words of 31 letters in Latin and Greek, an alphabet of 24 letters would produce 2432 words of 31 letters.

But what is the maximum length of an expression? Why should an expression not be as long as an entire book? Thus the sum of the expressions, true or false, that a man might read in the course of his life, imagining that he reads 100 pages a day and that each page contains 1,000 letters, is 3,650,000,000.

Even imagining that this man can live one thousand years, like the legendary alchemist Artephius, it would still be the case that “the greatest expressible period, or the largest possible book that a man can read, would have 3,650,000,000,000 [letters], and the number of truths, falsehoods, or sentences expressible–that is, readable, regardless of pronounceability or meaningfulness–will be 24365,000,000,001 – 24/23 [letters].”

We can imagine even larger numbers. Imagine our alphabet contained 100 letters; to write the number of letters expressible in this alphabet we would need to write a 1 followed by 7,300,0000,000,000 (sic) zeros. Even to write such a number it would take 1,000 scribes working for approximately 37 years.

Leibniz’s argument at this point is that whatever we take the number of propositions theoretically capable of expression to be–and we can plausibly stipulate more astronomical sums than these–it will be a number that vastly outstrips the number of true or false expressions that humanity is capable of producing or understanding.

From such a consideration Leibniz concluded paradoxically that the number of expressions capable of formulation must always be finite, and, what is more, that there must come a moment at which humanity would start to enunciate them anew.

With this thought, Leibniz approaches the theme of the apochatastasis or of universal reintegration–what we might call the theme of the eternal return.

This was a line of speculation more mystical than logical, and we cannot stop to trace the influences that led Leibniz to such fantastic conclusions.

It is plain, however, that Leibniz has been inspired by Lull and the kabbala, even if Lull’s own interest was limited to the generation of just those propositions that expressed true and certain knowledge and he thus would never have dared to enlarge his ars combinatoria to include so large a number of propositions.

For Leibniz, on the contrary, it was a fascination with the vertiginous possibilities of discovery, that is of the infinite number of expressions of which a simple mathematical calculation permitted him to conceive, that served as inspiration.

At the time he was writing his Dissertatio, Leibniz was acquainted with Kircher’s Polygraphia, as well as with the work of the anonymous Spaniard, of Becher, and of Schott (while saying that he was waiting for the long-promised Ars magna sciendi of the “immortal Kircher“).

He had yet to read Dalgarno, and Wilkins had still not published his Essay. Besides, there exists a letter from Kircher to Leibniz, written in 1670, in which the Jesuit confessed that he had not yet read Leibniz’s Dissertatio.

Leibniz also elaborated in the Dissertatio his so-called method of “complexions,” through which he might calculate, given n elements, how many groups of them, taken t at a time, irrespective of their ordering, can be ordered.

He applied this method to syllogisms before he passed to his discussion of Lull (para. 56). Before criticizing Lull for limiting the number of his elements, Leibniz made the obvious observation that Lull failed to exploit all the possibilities inherent in his combinatorial art, and wondered what could happen with variations of order, which could produce a greater number.

We already know the answer: Lull not only limited the number of elements, but he rejected those combinations that might produce propositions which, for theological and rhetorical reasons, he considered false.

Leibniz, however, was interested in a logica inventiva (para. 62) in which the play of combinations was free to produce expressions that were heretofore unknown.

In paragraph 64 Leibniz began to outline the theoretical core of his characteristica universalis. Above all, any given term needed to be resolved into its formal parts, the parts, that is, that were explicitly entailed by its definition.

These parts then had to be resolved into their own components, and so on until the process reached terms which could not, themselves, be defined–that is, the primitives. Leibniz included among them not only things, but also modes and relations.

Other terms were to be classified according to the number of prime terms they contained: if they were composed from 2 prime terms, they were to be called com2nations; if from 3 prime terms, com3nations, and so forth. Thereby a hierarchy of classes of increasing complexity could be created.

Leibniz returned to this argument a dozen years later, in the Elementa characteristicae universalis. Here he was more generous with his examples. If we accept the traditional definition of man as “rational animal,” we might consider man as a concept composed of “rational” and “animal.”

We may assign numbers to these prime terms: animal = 2, and rational = 3. The composite concept of man can be represented as the expression 2 * 3, or 6.

For a proposition to be true, if we express fractionally the subject-predicate (S/P) relationship, the number which corresponds to the subject must be exactly divisible by the number which corresponds to the predicate.

Given the preposition “all men are animals,” the number for the subject (men), is 6; the number for animals is 2; the resulting fraction is 6/2 = 3. Three being an integer, consequently, the preposition is true.

If the number for monkey were 10, we could demonstrate the falsity of either the proposition “all men are monkeys” or “all monkeys are men:” “the idea of monkey does not contain the idea of man, nor, vice versa, does the idea of the latter contain the former, because neither can 6 be exactly divided by 10, nor 10 by 6” (Elementa, in Couturat 1903: 42-92). These were principles that had all been prefigured in the Dissertatio.

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 271-5.

Eco: From Leibniz to the Encyclopédie

Gottfried_Wilhelm_Leibniz_c1700

Johann Friedrich Wentzel (1670-1729), Gottfried Wilhelm Leibniz (1646-1716), circa 1700. This work is in the public domain in its country of origin and other countries and areas where the copyright term is the author’s life plus 100 years or less. 

“In 1678 Leibniz composed a lingua generalis (in Couturat 1903). After decomposing all of human knowledge into simple ideas, and assigning a number to each, Leibniz proposed a system of transcription for these numbers in which consonants stood for integers and vowels for units, tens and powers of ten:

Umberto Eco, The Search for the Perfect Language, p. 270

Umberto Eco, The Search for the Perfect Language, p. 270. 

In this system, the figure 81,374, for example, would be transcribed as mubodilefa. In fact, since the relevant power of ten is shown by the following vowel rather than by the decimal place, the order of the letters in the name is irrelevant: 81,374 might just as easily be transcribed as bodifalemu.

This system might lead us to suspect that Leibniz too was thinking of a language in which the users might one day discourse on bodifalemu or gifeha (= 546) just as Dalgarno or Wilkins proposed to speak in terms of nekpot or deta.

Against this supposition, however, lies the fact that Leibniz applied himself to another, particular form of language, destined to be spoken–a language that resembled the latino sine flexione invented at the dawn of our own century by Peano.

This was a language whose grammar was drastically simplified and regularized: one declension for nouns, one conjunction for verbs, no genders, no plurals, adjectives and adverbs made identical, verbs reduced to the formula of copula + adjective.

Certainly, if my purpose were to try to delineate the entire extent of the linguistic projects undertaken by Leibniz throughout the course of his life, I would have to describe an immense philosophical and linguistically monument displaying four major aspects:

(1) the identification of a system of primitives, organized in an alphabet of thought or in a general encyclopedia;

(2) the elaboration of an ideal grammar, inspired probably by the simplifications proposed by Dalgarno, of which the simplified Latin is one example;

(3) the formulation of a series of rules governing the possible pronunciation of the characters;

(4) the elaboration of a lexicon of real characters upon which the speaker might perform calculations that would automatically lead to the formulation of true propositions.

The truth is, however, that by the end of his career, Leibniz had abandoned all research in the initial three parts of the project. His real contribution to linguistics lies in his attempts at realizing the fourth aspect.

Leibniz had little interest in the kinds of universal language proposed by Dalgarno and Wilkins, though he was certainly impressed by their efforts. In a letter to Oldenburg (Gerhardt 1875: VII, 11-5), he insisted that his notion of a real character was profoundly different from that of those who aspired to a universal writing modeled on Chinese, or tried to construct a philosophic language free from all ambiguity.

Leibniz had always been fascinated by the richness and plurality of natural languages, devoting his time to the study of their lineages and the connections between them. He had concluded that it was not possible to identify (much less to revive) an alleged Adamic language, and came to celebrate the very confusio linguarum that others were striving to eliminate (see Gensini 1990, 1991).

It was also a fundamental tenet of his monadology that each individual had a unique perspective on the world, as if a city would be represented from as many different viewpoints as the different positions of its inhabitants.

It would have been incongruous for the philosopher who held this doctrine to oblige everyone to share the same immutable grillwork of genera and species, without taking into account particularities, diversities and the particular “genius” of each natural language.

There was but one facet of Leibniz’s personality that might have induced him to seek after a universal form of communication; that was his passion for universal peace, which he shared with Lull, Cusanus and Postel.

In an epoch in which his english predecessors and correspondents were waxing enthusiastic over the prospect of universal languages destined to ease the way for future travel and trade, beyond an interest in the exchange of scientific information, Leibniz displayed a sensitivity towards religious issues totally absent even in high churchmen like Wilkins.

By profession a diplomat and court councillor, Leibniz was a political, rather than an academic, figure, who worked for the reunification of the church. This was an ecumenicism that reflected his political preoccupations; he envisioned an anti-French bloc of Spain, the papacy, the Holy Roman Emperor and the German princes.

Still, his desire for unity sprang from purely religious motives as well; church unity was the necessary foundation upon which a peaceful Europe could be built.

Leibniz, however, never thought that the main prerequisite for unity and peace was a universal tongue. Instead, he thought that the cause of peace might be better served by science, and by the creation of a scientific language which might serve as a common instrument in the discovery of truth.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 269-1.

Kvanvig: The Apkallus as Protective Spirits

“The apkallus are especially known from two incantation rituals: the one is Bīt Mēseri, as already stated; the other is called: šēp lemutti ina bit amēli parāsu, “to block the foot of evil into a man’s house” (KAR 298).

The two incantation series have a different scope. Bīt Mēseri prescribes the procedures to be performed when someone is ill, i.e. has come under demonic attack. Šēp Lemutti (“The Foot of Evil”) describes the procedures to be performed when a house should be protected from demonic attack. Consequently the rituals described have some common denominators, but also clear differences.

The rituals describe in great detail how figurines should be made of the seven apkallus. These figurines should then be addressed in an invocation to make them represent the apkallus themselves. In the case of Bīt Mēseri, where an ill person is concerned, the figurines should be arranged in the ill person’s room, close to his bed; in the case of Šēp Lemutti the figurines should be deposited in the foundation of the house.

Apotropaic figurine deposit found in room S57 of Fort Shalmaneser at Nimrud. Adapted from Curtis and Read (1995:112). (From Nakamura).

Apotropaic figurine deposit found in room S57 of Fort Shalmaneser at Nimrud. Adapted from Curtis and Read (1995:112). (From Nakamura).

We are here at a point where textual and archeological evidence support one another. An abundance of such small figurines are found in boxes buried in the foundations of houses and palaces from the Neo-Assyrian and the Neo-Babylonian period.

Nakamura: "By burying figurines of powerful beings, the āšipu preserves an expressed belief in a present reality of supernatural power, mythological origin and divine order."

Nakamura: “By burying figurines of powerful beings, the āšipu preserves an expressed belief in a present reality of supernatural power, mythological origin and divine order.”

Because of the detailed description of their appearance in the rituals, it is not difficult to identify the excavated figurines as the same entities described in the rituals. The excavated figurines are representations of the seven apkallus.

(Cf. F.A.M. Wiggermann, “Mischwesen A,” Reallexikon der Assyriologie und Vorderasiatischen Archäologie (RLA) 8, Berlin, 1993-7, pp. 222-25, 222, 224.)

Moreover, having identified the small figurines, it is also possible to identify many of the large reliefs that flanked the entrances to the palaces of the Neo-Assyrian kings. Here the small figurines were blown up in large scale representations of figures with the same appearance as the small figurines, corresponding to the descriptions in the rituals.

(Cf. For a detailed examination of the evidence, Dieter Kolbe, Die Reliefprogramme religiös-mythologischen Characters in neu-assyrischen Palästen, EH, Reihe 38, Frankfurt am Main, 1981, III-VII, 14-30.)

The three types of apkallū are portrayed, with the human ummânū at far left, the Nisroc bird-apkallū type in the middle, and the antediluvian purādu-fish type at far right.  The human ummânū is attested in the Uruk List of Kings and Sages, while other references to bird-apkallū are legion, as documented in Wiggermann and other authorities.  The purādu-fish apkallū is principally attested in Berossus, though other authorities confirm them, as well.  The anthropomorphic qualities of the purādu-fish and the Nisroc apkallu remain unexplained, though the eagle is sacred to Enki / Ea.

The three types of apkallū are portrayed, with the human ummânū at far left, the Nisroc bird-apkallū type in the middle, and the antediluvian purādu-fish type at far right.
The human ummânū is attested in the Uruk List of Kings and Sages, while other references to bird-apkallū are legion, as documented in Wiggermann and other authorities.
The purādu-fish apkallū is principally attested in Berossus, though other authorities confirm them, as well.
The anthropomorphic qualities of the purādu-fish and the Nisroc apkallu remain unexplained, though the eagle is sacred to Enki / Ea.

There are three kinds of apkallus: fish-apkallus, bird-apkallus, and human apkallus. The fish-apkallu is represented as a fish-garbed figure, with a human body and a carp cloak (cf. the description in Berossos).

The bird-apkallu is represented as a griffin; he has a human body, wings and a bird’s head.

A bas relief in the Louvre.  In this case the bird-apkallū tends to a sacred tree. Considering the mullilu in his right hand and the banduddu in his left, (tree cone and water bucket), he is engaged in a water ritual intended to sanctify the sacred tree. This is a common motif in Sumerian and Neo-Assyrian idols.  This bas relief is in the Louvre.  Primary publicationNimrud NW Palace I-24 = RIMA 2.0.101.023, ex. 189 (f) Collection	Nimrud, Iraq (a); British Museum, London, UK (b); Louvre Museum, Paris, France (c); Nimrud, Iraq (d); Detroit Institute of Arts, Detroit, Michigan, USA (e); British Museum, London, UK; Louvre Museum, Paris, France  Museum no.	Nimrud fragment no. 42 (a); BM 098061 (b); AO 22198 (c); Nimrud fragment no. 43 and 45 (d); DIA 47.181 (e) (photo: DIA); AO 19849  Accession no.	1903-10-10, 0002 (b) Provenience	Kalhu (mod. Nimrud) Period	Neo-Assyrian (ca. 911-612 BC)

A bas relief in the Louvre.
In this case the bird-apkallū tends to a sacred tree. Considering the mullilu in his right hand and the banduddu in his left, (tree cone and water bucket), he is engaged in a water ritual intended to sanctify the sacred tree. This is a common motif in Sumerian and Neo-Assyrian idols.
This bas relief is in the Louvre.
Primary publication Nimrud NW Palace I-24 = RIMA 2.0.101.023, ex. 189 (f)
Collection Nimrud, Iraq (a); British Museum, London, UK (b); Louvre Museum, Paris, France (c); Nimrud, Iraq (d); Detroit Institute of Arts, Detroit, Michigan, USA (e); British Museum, London, UK; Louvre Museum, Paris, France
Museum no. Nimrud fragment no. 42 (a); BM 098061 (b); AO 22198 (c); Nimrud fragment no. 43 and 45 (d); DIA 47.181 (e) (photo: DIA); AO 19849
Accession no. 1903-10-10, 0002 (b)
Provenience Kalhu (mod. Nimrud)
Period Neo-Assyrian (ca. 911-612 BC)

(Cf. Anthony Green, “Mischwesen B,” Reallexikon der Assyriologie und Vorderasiatischen Archäologie (RLA)  8, Berlin, 1993-7, pp. 246-64, 252; Anthony Green, “Neo-Assyrian Apotropaic Figures,” Iraq 45, 1983, pp. 87-96.)

The representation of the human apkallu is more uncertain. A. Green suggests that these apkallus were imagined as genii, figures with human bodies and wings, holding a bucket in the one hand and a cone in the other.

Now compare this Nimrud bas relief from the Louvre: an ummânū sprinkles water with a mullilu cone in his right hand, holding his banduddu bucket in his left. This ummânū wears bracelets with a concentric circular design, and rosettes are not apparent. This ummânū also wears the common horned headdress of Anu, but with three stacked layers of horns. As noted elsewhere, this headdress is surmounted by an object that resembles a partial fleur de lis. From Nimrud, capital of king Ashurnarzipal.  Louvre, AO 19845

Now compare this Nimrud bas relief from the Louvre: an ummânū sprinkles water with a mullilu cone in his right hand, holding his banduddu bucket in his left.
This ummânū wears bracelets with a concentric circular design, and rosettes are not apparent.
This ummânū also wears the common horned headdress of Anu, but with three stacked layers of horns.
As noted elsewhere, this headdress is surmounted by an object that resembles a partial fleur de lis.
From Nimrud, capital of king Ashurnarzipal.
Louvre, AO 19845

Figures of fish-apkallus and bird-apkallus are found in Babylonian Ur and in several of the major Assyrian cities, Nimrud, Aššur and Nineveh. They are found in royal palaces and in houses assumed to belong to the guild of the āšipū, “exorcists.”

This depiction of a fish-apkallū of the purādu-fish type guarded the entrance to the temple of Ninurta at Nimrud.<br /> A fish's head can be seen on the Apkallu's head, and its skin hangs down over the back of his body.<br /> It is important to recall that the so-called Seven Sages of Sumeria were apkallū of this type.<br /> Neo-Assyrian era, 865-860 BCE.<br /> From the Temple of Ninurta, Nimrud (ancient Kalhu; Biblical Calah), northern Mesopotamia, Iraq. (The British Museum, London).<br /> Osama Shukir Muhammed Amin FRCP (Glasg)<br /> http://www.ancient.eu/image/2708/

This depiction of a fish-apkallū of the purādu-fish type guarded the entrance to the temple of Ninurta at Nimrud.
A fish’s head can be seen on the Apkallu’s head, and its skin hangs down over the back of his body.
It is important to recall that the so-called Seven Sages of Sumeria were apkallū of this type.
Neo-Assyrian era, 865-860 BCE.
From the Temple of Ninurta, Nimrud (ancient Kalhu; Biblical Calah), northern Mesopotamia, Iraq. (The British Museum, London).
Osama Shukir Muhammed Amin FRCP (Glasg)
http://www.ancient.eu/image/2708/

(Cf. Dessa Rittig, Assyrisch-babylonische Kleinplastik magischer Bedeutung vom 13.-6. Jh. v. Chr., MVS. München, 1977, pp. 70-85, and pictures 20-31.)

The apkallus were, as stated, not only manufactured as prophylactic figurines. It is possible to find them in numerous examples of monumental art in Assyrian palaces. The fish-apkallu is also found in Persian Persagadae, placed at the entrance to the Audience Hall.

(Cf. Trudy S. Kawami, “A Possible Source for the Sculptures of the Audience Hall, Pasargadae,” Iran 10, 1972, pp. 146-8.)

In this bas relief from Nimrud, human apkallū, the ummánū, kneel and tend to a sacred tree.  Both ummânū wear horned tiaras and display rosette bracelets on their wrists. Bracelets are also apparent on their upper arms.  In the lower register, bird-apkallū raise mulillu cones to sprinkle water in a gesture of exorcism and liberation of sin.  As is typical, the banduddu buckets are in their left hands.  Interestingly in this case, the bracelets of the bird-apkallū are atypical. No rosettes are apparent.

In this bas relief from Nimrud, human apkallū, the ummánū, kneel and tend to a sacred tree.
Both ummânū wear horned tiaras and display rosette bracelets on their wrists. Bracelets are also apparent on their upper arms.
In the lower register, bird-apkallū raise mulillu cones to sprinkle water in a gesture of exorcism and liberation of sin.
As is typical, the banduddu buckets are in their left hands.
Interestingly in this case, the bracelets of the bird-apkallū are atypical. No rosettes are apparent.

In the Assyrian palaces the apkallus are guarding the sacred tree, the king, and deities. Thus the apkallus were not only invisible present in rituals (sic); they were manufactured as figures and represented in impressive monumental art.”

Helge Kvanvig, Primeval History: Babylonian, Biblical, and Enochic: An Intertextual Reading, Brill, 2011, pp. 129-31.

Nakamura: The Common Terrain Shared by Myth and Iconography

“After this “enlivening,” the āšipu then molds this clay into various figures of power and protection, in effect reenacting the divine creation of humans from the clay of the apsû, the primordial underground freshwater ocean.

(Similar narratives of the creation of humankind reiterate a trope of the divine formation of being from clay. In the Atrahasis epic (Tablet I, lines 210–213) humankind is born from the mixing of primordial clay and the blood of a slain god, and in Enki and Ninmah (lines 24–26) humankind is made from this clay only.)

Cuneiform tablet with the Atrahasis Epic Babylonian, about 17th century BC From Sippar, southern Iraq A version of the Flood story The story outlines the structure of the universe according to Babylonian beliefs. Heaven is ruled by the god Anu, the earth by Enlil and the subterranean sweet water by Enki. The text then explains how the minor gods work in the fields but then rebel. As a result, humans are made from clay, saliva and divine blood to act as servants of the gods. This does not prove a perfect solution, as the humans reproduce and their noise disturbs Enlil's sleep. He decides to destroy them with plague, famine, drought and finally a flood. However, each time Enki instructs one of the humans, Atrahasis, to survive the disasters. The god gives Atrahasis seven days warning of the flood, and he builds a boat, loads it with his possessions, animals and birds. He is subsequently saved while the rest of humankind is destroyed. However, the gods are unhappy as they no longer receive the offerings they used to. There is a gap in the text at this point but it does end with Atrahasis making an offering and Enlil accepting the existence and usefulness of humans. Copies of this story have survived from the seventeenth to the seventh century BC showing that it was copied and re-copied over the centuries. This is the most complete version. There are clear similarities between this Flood story and others known in Mesopotamian literature, for example, the Epic of Gilgamesh. T.C. Mitchell, The Bible in the British Museum (London, The British Museum Press, 1988) S. Dalley, Myths from Mesopotamia (Oxford University Press, 1991) W.G. Lambert and A.R. Millard, Atra-hasis (Oxford, Clarendon Press, 1969) http://www.britishmuseum.org/explore/highlights/highlight_objects/me/c/cuneiform_the_atrahasis_epic.aspx

Cuneiform tablet with the Atrahasis Epic
Babylonian, about 17th century BC
From Sippar, southern Iraq
A version of the Flood story
The story outlines the structure of the universe according to Babylonian beliefs. Heaven is ruled by the god Anu, the earth by Enlil and the subterranean sweet water by Enki. The text then explains how the minor gods work in the fields but then rebel. As a result, humans are made from clay, saliva and divine blood to act as servants of the gods.
This does not prove a perfect solution, as the humans reproduce and their noise disturbs Enlil’s sleep. He decides to destroy them with plague, famine, drought and finally a flood. However, each time Enki instructs one of the humans, Atrahasis, to survive the disasters. The god gives Atrahasis seven days warning of the flood, and he builds a boat, loads it with his possessions, animals and birds. He is subsequently saved while the rest of humankind is destroyed. However, the gods are unhappy as they no longer receive the offerings they used to. There is a gap in the text at this point but it does end with Atrahasis making an offering and Enlil accepting the existence and usefulness of humans.
Copies of this story have survived from the seventeenth to the seventh century BC showing that it was copied and re-copied over the centuries. This is the most complete version. There are clear similarities between this Flood story and others known in Mesopotamian literature, for example, the Epic of Gilgamesh.
T.C. Mitchell, The Bible in the British Museum (London, The British Museum Press, 1988)
S. Dalley, Myths from Mesopotamia (Oxford University Press, 1991)
W.G. Lambert and A.R. Millard, Atra-hasis (Oxford, Clarendon Press, 1969)
http://www.britishmuseum.org/explore/highlights/highlight_objects/me/c/cuneiform_the_atrahasis_epic.aspx

And this mimetic act doubles back, for at the end of the incantation the āšipu invokes the creative utterance of Enki (Ea) and incants himself into the picture; here he blurs his position as both mime and mimed other: “in this way, as both chanter and person chanted about, as demonstrator and demonstrated, he creates the bridge between the original and copy that brings a new force, the third force of magical power, to intervene in the human world” (Taussig 1993:106).

(One creation myth (of many) also poses Enki (Ea) as taking on the organization of the entire universe and accomplishes this feat solely in the creative power of his word (Black and Green 1992:54)).

And it is the āšipu’s body that provides the ligature of this bond:

O Ea, King of the Deep, to see…

I, the magician am thy slave.

March thou on my right hand,

Be present on my left;

Add thy pure spell unto mine,

Add thy pure voice unto mine,

Vouchsafe (to me) pure words,

Make fortunate the utterance of my mouth,

Ordain that my decisions be happy,

Let me be blessed wherever I tread,

Let the man who I (now) touch be blessed.

(Utukki Limnuti, III/VII:260 ff. Thompson 1903-04:27-9, added emphasis).

It is bodily sense — initiated by the āšipu’s voice, movement, and touch — that forges a correspondence between the natural and the divine.

Through the mimetic faculty, magical craft and performance invites a direct and sensuous relation with the open world capable of recuperating a pre-organized state of sensation and perception.

This visceral presentation of the self-becoming-other and spirit-becoming-substance, reproduces the original fold of being that encompasses divine, human, and natural worlds. The Mesopotamian world was indeed enchanted, and humans, always already engaged in such a world, needed only to feel or sense in order to retrieve such unity.

I have dwelled upon the bodily aspects of practice — namely, those gestures of relating and transforming through incantation, touch, and movement — to underscore magic as a technique, as a knowing and producing that choreographs a dis/re-organization of worldly relations.

Magical performance amounts to a mimetic demonstration of vital correspondences between ideas, essences, and things in the processual enactment of an ideal made real. The affective force of such bodily techniques arises from the kinetic communication and experience of the performance; but how are we to make sense of the power or force of ideal protection made real through the burial of miniature figurine deposits?

Most commonly, scholarship has approached this ritual practice and material assemblage by considering certain symbolic and conceptual linkages to Neo-Assyrian ritual, religion, and culture, for instance, the common terrain shared by myth and iconography (see Green 1983; 1993; Wiggermann 1992; 1993).

While such critical analyses get at important aspects and processes of ancient intellection, they ultimately fail to consider the devastatingly material logic of magic that often subverts (only to reinforce) such discursive productions of meaning. To redress this imbalance, I presently examine this concrete logic and how it discloses apotropaic power.”

Carolyn Nakamura, “Mastering matters: magical sense and apotropaic figurine worlds of Neo-Assyria,” Archaeologies of materiality (2005): 30-1.

Boaz and Jachin, and Pillars of Emerald and Gold in the Temple of Melkarth in Herodotus

“Within the last few years, bas-reliefs have been found in Sicily and Tunisia representing persons in the act of adoration before a small triad of stone. We are here on Phoenician territory, and it is not strange therefore that classical writers should speak of the βαίτυλοι or Beth-els, the meteoric stones which had fallen from heaven like “the image” of Artemis at Ephesos, and were accordingly honoured by the Phoenicians.

In the mythology of Byblos, Heaven and Earth were said to have had four sons, Ilos or ElBêtylos or Beth-elDagon and Atlas; and the god of heaven was further declared to have invented the Baityli, making of them living stones (Eusebius of Caesarea: Praeparatio Evangelica (Preparation for the Gospel), Tr. E.H. Gifford (1903) — Book 1, Chapter 10).

Bethuel is connected with Aram in the Old Testament (Genesis xxii, 21, 22); and we all remember how, on his way to Haran, Jacob awakened out of sleep, saying, “Surely the Lord is in this place,” and “took the stone that he had put for his pillows, and set it up for a pillar, and poured oil upon the top of it, and called the name of that place Beth-el.”

In Palestine, however, the Beth-els were arranged in a circle or Gilgal, rather than singly; the isolated monuments were the cones of stone or the bare tree-trunks which symbolised Ashêrah, the goddess of fertility, and Baal the Sun-god. The sun-pillars and the ashêrim meet with frequent mention in the Biblical records; and we may gain some idea as to what the latter were like from the pictures we have on coins and gems of the famous conical stone that stood within the holy of holies in the temple of the Paphian Aphroditê, as well as from the description given of it by Tacitus.

On a gem in the British Museum, Sin, “the god of Harran,” is represented by a stone of the same shape surmounted by a star. The “pillars of the Sun” were also stones of a like form. When the Phoenician temple in the island of Gozo, whose ruins are known as the Temple of the Giants, was excavated, two such columns of stone were found, planted in the ground, one of which still remains in situ.

We cannot forget that even in Solomon’s temple, built as it was by Phoenician workmen, there were two columns of stone, Boaz and Yakin, set on either side of the porch (1 Kings vii. 21), like the two columns of gold and emerald glass which Herodotos saw in the temple of Melkarth at Tyre (Herodotus, The Histories, ii, 44).

The sacred stones which were thus worshipped in Arabia, in Phoenicia and in Syria, were worshipped also among the Semites of Babylonia. There is a curious reference to the consecration of a Beth-el in the Epic of Gisdhubar.

When the hero had been dismissed by the Chaldean Noah, and his sickness had been carried away by the waters of the sea, we are told that “he bound together heavy stones,” and after taking an animal for sacrifice, “poured over it a homer” in libation.

He then commenced his homeward voyage up the Euphrates, having thus secured the goodwill of heaven for his undertaking.”

A.H. Sayce, Lectures on the Origin and Growth of Religion as Illustrated by the Religion of the Ancient Babylonians, 5th ed., London, 1898, pp. 408-10.