Raymond Lull | Samizdat

July 10, 2016

Eco: From Leibniz to the Encyclopédie

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.

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.

May 4, 2016

Eco: The Concordia Universalis of Nicholas of Cusa

Meister des Marienlebens, Kreuzigung, Passionsalter aus Bernkastel-Kues, 1460. 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 seductive potentiality of Lull’s appeal to the principle of universal concord is revealed by the resumption of his project, two centuries later, by Nicholas of Cusa. Nicholas is famous as the figure who revived Plato during the years between the crisis of scholasticism and the beginning of the Renaissance.

Nicholas also propounded the idea of an infinitely open universe, whose centre was everywhere and whose circumference nowhere. As an infinite being, God transcended all limits and overcame every opposition.

As the diameter of a circle increased, its curvature diminished; so at its limit its circumference became a straight line of infinite length.

Likewise, in God all opposites coincide. If the universe had a centre, it would be limited by another universe. But in the universe, God is both centre and circumference. Thus the earth could not be the centre of the universe.

This was the starting point for a vision of the plurality of worlds, of a reality founded on mathematical principles, which can be submitted to continuous investigation, where the world, if not infinite in a strict sense, was at least capable of assuming an infinite number of guises.

The thought of Nicholas is rich in cosmological metaphors (or models) founded upon the image of the circle and the wheel (De docta ignorantia, II, 11), in which the names of the divine attributes (explicitly borrowed from Lull) form a circle where each supports and confirms the others (I, 21).

The influence of Lull is even more explicitly revealed when Nicholas notes that the names by which the Greeks, Latins, Germans, Turks and Saracens designate the divinity are either all in fundamental accord, or derive from the Hebrew tetragrammaton (see the sermon Dies sanctificatus).

The ideas of Lull had spread to the Veneto towards the close of the fourteenth century. Nicholas probably came into contact with them in Padua. Their diffusion was, in part, a reaction against a scholastic Aristotelianism now in crisis; yet the diffusion also reflected the feverish cultural atmosphere generated by close contacts with the East.

Just as Catalonia and Majorca had been frontier territories in contact with the Muslim and Jewish worlds at the time of Lull, so the Venetian Republic had opened itself to the world of Byzantium and of the Arab countries two centuries later. The emerging currents of Venetian humanism were inspired by a new curiosity and respect for other cultures (cf. Lohr 1988).

It was thus appropriate that in this atmosphere there should have reemerged the thought of a figure whose preaching, whose theological speculations, and whose research on universal language were all conceived with the aim of building an intellectual and religious bridge between the European West and the East.

Lull believed that true authority could not be based on a rigid unity, but rather on the tension between various centers. It was the laws of Moses, the revelations of Christ and the preaching of Mohammed that, taken together, might produce a unified result.

Lull’s doctrine acted as a mystical and philosophical stimulus and seemed an imaginative and poetic alternative to the encyclopedia of Aristotelian scholasticism, but it provided a political inspiration as well.

The works of a writer who had dared to put his doctrine into the vernacular proved congenial to humanists who, on the one hand, had begun to celebrate the dignity of their own native tongues, but, on the other hand, wondered how it was possible to establish a rational discussion which broke the boundaries of national traditions, a philosophy which could reanimate the body of encyclopedic scholasticism by injecting the leaven of exotic new doctrines, expressed in languages still entirely unknown.

In his De pace fidei, Nicholas opened a polemical dialogue with the Muslims. He asked himself Lull’s question: how might the truth of Christian revelation be demonstrated to followers of the two other monotheistic religions?

Perhaps, Nicholas mused, it was a mistake to translate the persons of the Trinity as “Father,” “Son” and “Holy Ghost.” Perhaps they should have been given more philosophical names (better understandable by other cultures).

In his ecumenical fervor, Nicholas even went so far as to propose to the Jews and the Muslims that, if they would accept the Gospels, he would see that all Christians received circumcision. It was a proposal, as he confessed at the end, whose practical realization might present certain difficulties. (De pace fidei, XVI, 60).

Nicholas retained from Lull the spirit of universal peace as well as his metaphysical vision. Yet before the thrilling potential of Nicholas’s own vision of an infinity of worlds could be translated into a new and different version of the art of combination, new ideas would have to fertilize the humanist and Renaissance world.

The rediscovery of the art of combination would have to wait for the rediscovery of Hebrew, for Christian kabbalism, for the spread of Hermeticism, and for a new and positive reassessment of magic.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 69-72.

May 2, 2016

Eco: The Alphabet and the Four Figures, 3

Jonathan Swift, Gulliver’s Travels, 1892 George Bell and Sons edition, Project Gutenberg. Also see Jonathan Swift, Gulliver’s Travels, A.J. Rivero, ed., New York: W.W.Norton, 2001, Part III, chapter 5. Cited in Bethany Nowviskie, “Ludic Algorithms,” in Kevin Kee, ed., Pastplay: Teaching and Learning History with Technology, Ann Arbor, MI: University of Michigan Press, 2014.

“It follows that Lull’s art is not only limited by formal requirements (since it can generate a discovery only if one finds a middle term for the syllogism); it is even more severely limited because the inferences are regulated not by formal rules but rather by the ontological possibility that something can be truly predicated of something else.

The formal rules of the syllogism would allow such arguments as “Greed is different from goodness — God is greedy — Therefore God is different from goodness.” Yet Lull would discard both the premises and the conclusion as false.

The art equally allows the formulation of the premise “Every law is enduring,” but Lull rejects this as well because “when an injury strikes a subject, justice and law are corrupted” (Ars brevis, quae est de inventione mediorum iuris, 4.3a).

Given a proposition, Lull accepts or rejects its logical conversion, without regard to its formal correctness (cf. Johnston 1987: 229).

Nor is this all. The quadruples derived from the fourth figure appear in the columns more than once. In Ars magna the quadruple BCTB, for example, figures seven times in each of the first seven columns.

In V, 1, it is interpreted as “Whether there exists some goodness so great that it is different,” while in XI, 1, applying the rule of logical obversion, it is read as “Whether goodness can be great without being different”–obviously eliciting a positive response in the first case and a negative one in the second.

Yet these reappearances of the same argumentative scheme, to be endowed with different semantic contents, do not bother Lull. On the contrary, he assumes that the same question can be solved either by any of the quadruples from a particular column that generates it, or from any of the other columns!

Such a feature, which Lull takes as one of the virtues of his art, represents in fact its second severe limitation. The 1,680 quadruples do not generate fresh questions, nor do they furnish new proofs.

They generate instead standard answers to an already established set of questions. In principle, the art only furnishes 1,680 different ways of answering a single question whose answer is already known.

It cannot, in consequence, really be considered a logical instrument at all. It is, in reality, a sort of dialectical thesaurus, a mnemonic aid for finding out an array of standard arguments able to demonstrate an already known truth.

As a consequence, any of the 1,680 quadruples, if judiciously interpreted, can yield up the correct answer to the question for which it is adapted.

See, for instance, the question “Whether the world is eternal” (“Utrum mundus sit aeternus“). Lull already knew the answer: negative, because anyone who thought the world eternal would fall into the Averroist error.

Note, however, that the question cannot be generated directly by the art itself; for there is no letter corresponding to world. The question is thus external to the art.

In the art, however, there does appear a term for eternity, that is, D; this provides a starting point.

In the second figure, D is tied to the relative principle contrarietas or opposition, as manifested in the opposition of the sensible to the sensible, of the intellectual to the sensible, and of the intellectual to the intellectual.

The same second figure also shows that D forms a triangle with B and C. The question also began with utrum, which appears at B under the heading Questiones in the tabula generalis. This constitutes a hint that the solution needs to be sought in the column in which appear B, C and D.

Lull says that “the solution to such a question must be found in the first column of the table;” however, he immediately adds that, naturally, “it could be found in other columns as well, as they are all bound to each other.”

At this point, everything depends on definitions, rules, and a certain rhetorical legerdemain in interpreting the letters. Working from the chamber BCDT (and assuming as a premise that goodness is so great as to be eternal), Lull deduces that if the world were eternal, it would also be eternally good, and, consequently, there would be no evil.

“But,” he remarks, “evil does exist in the world as we know by experience. Consequently we must conclude that the world is not eternal.” This negative conclusion, however, is not derived from the logical form of the quadruple (which has, in effect, no real logical form at all), but is merely based on an observation drawn from experience.

The art may have been conceived as the instrument to use universal reason to show the Averroist Muslims the error of their ways; but it is clear that unless they already shared with Lull the “rational” conviction that the world cannot be eternal, they are not going to be persuaded by the art.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 62-4.

May 1, 2016

Eco: The Ars Magna of Raymond Lull

Raymond Lull, Tabula Generalis, pg. 57, Eco, Search for a Perfect Language, 1995

Raymond Lull (1232-1316), Tabula Generalis, figure 4.1, Lull’s Alphabet, from Umberto Eco, The Search for a Perfect Language, Blackwell, Oxford, 1995, pg. 57.

“A near contemporary of Dante, Ramòn Llull (Latinized as Lullus and Anglicized as Lull–and sometimes as Lully) was a Catalan, born in Majorca, who lived probably between 1232 (or 1235) and 1316.

Majorca during this period was a crossroads, an island where Christian, Jewish and Arab cultures all met; each was to play a role in Lull’s development. Most of his 280 known works were written initially in Arabic or Catalan (cf. Ottaviano 1930).

Lull led a carefree early life which ended when he suffered a mystic crisis. As a result, he entered the order of Tertian friars.

It was among the Franciscans that all of the earlier strands converged in his Ars magna, which Lull conceived as a system for a perfect language with which to convert the infidels. The language was to be a universal; it was to be articulated at the level of expression in a universal mathematics of combination; its level of content was to consist of a network of universal ideas, held by all peoples, which Lull himself would devise.

St. Francis had already sought to convert the sultan of Babylonia, and the dream of establishing universal concordance between differing races was becoming a recurrent theme in Franciscan thought. Another of Lull’s contemporaries, the Franciscan Roger Bacon, foresaw that contact with the infidels (not merely Arabs, but also Tartars) would require study of foreign languages.

The problem for him, however, was not that of inventing a new, perfect language, but of learning the languages that the infidels already spoke in order to convert them, or, failing that, at least to enrich Christian culture with a wisdom that the infidels had wrongfully appropriated (“tamquam ab iniustis possessoribus“).

The aims and methods of Lull and Bacon were different; yet both were inspired by ideals of universality and of a new universal crusade based on peaceful dialogue rather than on arms.

In this utopia the question of language played a crucial role (cf. Alessio 1957). According to legend, Lull was to die martyred at the hands of the Saracens, to whom he had appeared, armed with his art, believing it to be an infallible means of persuasion.

Lull was the first European philosopher to write doctrinal works in the vulgar tongue. Some are even in popular verses, so as to reach readers who knew neither Latin nor Arabic: “per tal che hom puscha mostrar / logicar e philosophar / a cels que win saben lati / ni arabichi” (Compendium, 6-9).

His art was universal not merely in that it was designed to serve all peoples, but also in that it used letters and figures in a way (allegedly) comprehensible even to illiterates of any language.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 53-4.

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April 23, 2016

Umberto Eco: Search for the Perfect Language

Pieter_Bruegel_the_Elder_-_The_Tower_of_Babel_(Rotterdam)_-_Google_Art_Project

Pieter Brueghel the Elder (1526/1530-1569), The Tower of Babel (circa 1563-1565, oil on panel, Museum Bojimans Van Beuningen, Room 06, Rotterdam. Accession number 2443 (OK). Bequeathed to the Museum Bojimans Van Beuningen by Daniël George van Beuningen. Brueghel painted three versions of the Tower of Babel. This one is in the collection of the Museum Bojimans Van Beuningen in Rotterdam. A second version is in the collection of the Kunsthistorisches Museum in Vienna. A third version, a miniature on ivory, is apparently held by a private collector. Its disposition is unknown. The official position taken by the Wikimedia Foundation is that “faithful reproductions of two-dimensional public domain works of art are public domain”. https://commons.wikimedia.org/wiki/File:Pieter_Bruegel_the_Elder_-_The_Tower_of_Babel_(Rotterdam)_-_Google_Art_Project.jpg

This is the first page of my serialization of Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995.

Editorial Note

This book is not available in electronic formats from Amazon or other vendors, and there are no .pdf versions lurking anywhere on the web. The lone electronic version that I did uncover is hosted on OpenLibrary.org, and lending is controlled using Adobe Digital Editions. This so offended me that I digitized every page of the work. Making no apologies, I publish it here.

This book by Umberto Eco was mentioned in an article discussed earlier on this site, by Tzahi Weiss, “On the Matter of Language: The Creation of the World from Letters and Jacques Lacan’s Perception of Letters as Real,” 2009.

My post on this paper is published as Smoke Signals: Comments on Borges, Tzahi Weiss, Kabbalah, “On the Matter of Language: The Creation of the World From Letters and Jacques Lacan’s Perception of Letters As Real,” JJTP 17.1, Brill, 2009.

Eco Begins

With no further ado, Eco opens with several excerpts, one from Herodotus, History, II, I, another from Jonathan Swift, Gulliver’s Travels, III, pg. 5, and this one, from Leibniz, Letter to Duke of Hanover, 1679, which I excerpt in full.

“If only God would again inspire your Highness, the idea which had the goodness to determine that I be granted 1200 emus would become the idea of a perpetual revenue, and then I would be as happy as Raymond Lull, and perhaps with more reason . . . For my invention uses reason in its entirety and is, in addition, a judge of controversies, an interpreter of notions, a balance of probabilities, a compass which will guide us over the ocean of experiences, an inventory of things, a table of thoughts, a microscope for scrutinizing present things, a telescope for predicting distant things, a general calculus, an innocent magic, a non-chimerical cabal, a script which all will read in their own language; and even a language which one will be able to learn in a few weeks, and which will soon be accepted amidst the world. And which will lead the way for the true religion everywhere it goes.”

Leibnitz, Letter to Duke of Hanover, 1679.

“The dream of a perfect language did not only obsess European culture. The story of the confusion of tongues, and of the attempt to redeem its loss through the rediscovery or invention of a language common to all humanity, can be found in every culture (cf. Borst 1957-63). Nevertheless, this book will tell only one strand of that story — the European; and, thus, references to pre- or extra-European cultures will be sporadic and marginal.

This book has another limit as well; that is, a qualitative one. As I was on the verge of writing its final version, there reached my desk at least five recent projects, all of which seem to be related to the ancient prototypes I was dealing with.

I should emphasize that I will be limiting myself to those prototypes because Borst, whose own study concerns only the historical discussion on the confusion of tongues, has managed to present us with six volumes.

Finishing this introduction, I received Demonet’s account of the debate on the nature and origin of language between 1480 and 1580, which takes up seven hundred thick and weighty pages.

Couturat and Leau analyzed 19 models of a priori languages, and another 50 mixed or a posteriori languages; Monnerot-Dumaine reports on 360 projects for international languages; Knowlson lists 83 projects of universal languages during the seventeenth and eighteenth centuries; and, though limiting himself to projects in the nineteenth century, Porset provides a list of 173 titles.

Moreover, in the few years I have dedicated to this subject, I have discovered in antiquarian catalogues a large number of works missing from the biographies of the preceding books.

Some, by obscure authors, were entirely dedicated to the glottogonic problems; others were by authors known for other reasons, who, none the less, dedicated substantial chapters to the theme of the perfect language.

This ought to be enough to convince anyone that our list of titles is still far from complete; and, that therefore, to paraphrase a joke by Macedonio Fernandez, the number of things which are not in the bibliographies is so high that it would be impossible to to find room for one more missing item.

Hence my decision to proceed by a campaign of deliberated decimation. I have reserved attention for projects which seemed to me exemplary (whether for their virtues or their defects); as for the rest I defer to works dedicated to specific authors and periods.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 1-2.

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