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July 10, 2016

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 24³²words 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 24^{365,000,000,001}– 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.

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June 21, 2016

Eco: Perfection and Secrecy

Kircher Athanasius, 1667 Magneticum naturae regnum, Frontispiece

Athanasius Kircher (1602-80), frontispiece, Magneticum naturae regnum, Rome, Ignati de Lazaris, 1667, held by the Linda Hall Library, LHL Digital Collections, call number Q155.K58 1667. This engraving is often referred to with the expression, “the world is bound in secret knots.” 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.

“We might think it is a pity that the search for a language that was as perfect as it was universal should lead to such a conception of a tongue reserved for the “happy few.” But it is perhaps nothing more than our “democratic” illusion to imagine that perfection must imply universality.

In order to understand the cultural framework of both Kircher’s Egyptology and Rosicrucian holy languages, it must be remembered that for the Hermetic tradition truth was not usually regarded as accessible to the many. Indeed, there existed a marked tendency to believe that what is true is unknown and hardly knowable, if not to a restricted elite (cf. Eco 1990).

There is a radical difference between the gnostic and Neo-Platonist ideas of late antiquity (as well as their Renaissance versions–which survived in the Counter-Reformation Catholicism of Kircher) and the Christian message, as it was proclaimed throughout most of the Middle Ages.

For medieval Christianity, salvation was promised to the meek and humble in spirit, and did not require any special knowledge: everyone can understand what is required in order to deserve the kingdom of heaven.

Medieval teaching reduced the aura of mystery that accompanied the revelation–which was explained by formulae, parables and images that even the uneducated might grasp: truth was considered effable, therefore public.

For Hermetic thought, instead, the cosmic drama could only be understood by an aristocracy of wisdom, able to decipher the hieroglyphs of the universe; the main characteristic of truth was its ineffability: it could not be expressed in simple words, was ambiguous by nature, was to be found through the coincidence of opposites, and could be expressed only by initiatic revelations.

Within this tradition, public accessibility was simply not a criterion by which a perfect language was judged. If one does not understand this point, one cannot understand why the cryptographers of this period dedicated their ciphers to grand-dukes deep in military campaigns and political machinations, presenting them as arcane suggestions.

Perhaps this is all merely another manifestation of the natural hypocrisy of a century fascinated by dissimulation, a feature that constitutes the continuing charm of baroque civilization.

It remains uncertain if that celebrated book Breviarium politicorum secundum rubricas Mazarinicas (1684) really collects Mazarin’s political thoughts or is a libel invented to defame him: in whatever case, it certainly reflects the image of a man of politics in the 1600’s.

It is notable that in the chapter entitled “Reading and writing” it recommends that, if one needs to write in a public place, it is convenient to place upon a lectern several already written pages as if one intended to copy them out, letting them be visible and concealing under them the paper upon which one is really writing, guarded in such a way that no one who approaches you will be able to read it.

Resorting to ciphers is suggested, but in such a way that at first glance the message looks understandable and provides irrelevant information (the canonical reference is to Trithemius).

Not only must the message be translated in a secret writing, but this writing must also conceal its own secrecy, because a cipher that blatantly appears as such can arouse suspicion and encourage decipherment.

Thus on the one hand the mystic who writes about perfect and holy languages winks his eye at the politician who will use this language as his secret code; on the other hand the cryptographer sells to the politician a cipher (that is, an instrument of power and dominion) that for him, the Hermetic initiate, is also a key to supernatural truths.

Such a man was Johann Valentin Andreae, whom many have considered (and many still do consider) to be, if not the author, at least the inspirer of the Rosicrucian manifestos. Andreae was a Lutheran mystic and writer of utopian works, like the Christianopolis of 1619, similar in spirit to those of Bacon and Campanella.

Edighoffer (1982: 175ff) has noted that many of his authentic works, like the Chemical Weddings, abound with ciphered expressions, according to the expressed principle that “Arcana publicata vilescunt” and that one ought not to cast pearls before swine.

In the same vein Andreae used ciphered messages in his correspondence with Augustus, Duke of Brunswick. Edighoffer remarks that there is nothing surprising in this: it was a correspondence filled with political observations, one, moreover, that took place during the Thirty Years War, when the difference between political and religious comments was minimal and the risks in both were the same.

In the light of these, as it were, “private” practices of the Rosicrucians, their public appeals concerning the need to use a secret language to inaugurate a universal reform must seem even more ambiguous.

They are so to such an extent as to make credible what not only modern historians but even the supposed authors of the manifestos themselves had always claimed: the manifestos were nothing but a joke, a sophomoric game, an exercise in literary pastiche made up of all the buzz-topics of the day: the search for the language of Adam, the dream of a sensual language, glossolalic illusions, cryptography, kabbala . . . And since everything went into this pot au feu, anything could be fished out again.

Thus, as will always happen when the specter of mystery is raised, there were those who read the Rosicrucian manifestos “paranoiacally,” discovering in them what they wanted to believe anyway, and needed to rediscover continually.

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 190-3.

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June 4, 2016

Eco: Kircher’s Egyptology

Athanasius Kircher (1602-80), frontispiece to Ars Magna Lucis et Umbrae, Rome, Scheus, 1646. Compendium Naturalis says that this allegorical engraving was executed on copper by Petrus Miotte Burgundus. Multiple copies are posted on the internet, including an eBook courtesy of GoogleBooks, one at the Max Planck Institute, one at the Herzog August Bibliothek, and one at Brigham Young University among many 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.

“When Kircher set out to decipher hieroglyphics in the seventeenth century, there was no Rosetta stone to guide him. This helps explain his initial, mistaken, assumption that every hieroglyph was an ideogram.

Understandable as it may have been, this was an assumption which doomed his enterprise at the outset. Notwithstanding its eventual failure, however, Kircher is still the father of Egyptology, though in the same way that Ptolemy is the father of astronomy, in spite of the fact that his main hypothesis was wrong.

In a vain attempt to demonstrate his hypothesis, Kircher amassed observational material and transcribed documents, turning the attention of the scientific world to the problem of hieroglyphs. Kircher did not base his work on Horapollo’s fantastic bestiary; instead, he studied and made copies of the royal hieroglyphic inscriptions.

His reconstructions, reproduced in sumptuous tables, have an artistic fascination all of their own. Into these reconstructions Kircher poured elements of his own fantasy, frequently reportraying the stylized hieroglyphs in curvaceous baroque forms.

Lacking the opportunity for direct observation, even Champollion used Kircher’s reconstructions for his study of the obelisk standing in Rome’s Piazza Navona, and although he complained of the lack of precision of many of the reproductions, he was still able to draw from them interesting and exact conclusions.

Already in 1636, in his Prodromus Coptus sive Aegyptiacus (to which was added, in 1643, a Lingua Aegyptiaca restituta), Kircher had come to understand the relation between the Coptic language and, on the one hand, Egyptian, and, on the other, Greek.

It was here that he first broached the possibility that all religions, even those of the Far East, were nothing more than more or less degenerated versions of the original Hermetic mysteries.

There were more than a dozen obelisks scattered about Rome, and restoration work on some of them had taken place from as early as the time of Sixtus V. In 1644, Innocent X was elected pope. His Pamphili family palace was in Piazza Navona, and the pope commissioned Bernini to execute for him the vast fountain of the four rivers, which remains there today.

On top of this fountain was to be placed the obelisk of Domitian, whose restoration Kircher was invited to superintend.

As the crowning achievement of this restoration, Kircher published, in 1650, his Obeliscus Pamphilius, followed, in 1652-4, by the four volumes of his Oedipus Aegyptiacus. This latter was an all-inclusive study of the history, religion, art, politics, grammar, mathematics, mechanics, medicine, alchemy, magic and theology of ancient Egypt, compared with all other eastern cultures, from Chinese ideograms to the Hebrew kabbala to the language of the brahmins of India.

The volumes are a typographical tour de force that demanded the cutting of new characters for the printing of the numerous exotic, oriental alphabets. It opened with, among other things, a series of dedications to the emperor in Greek, Latin, Italian, Spanish, French, Portuguese, German, Hungarian, Czech, Illirian, Turkish, Hebrew, Syriac, Arabic, Chaldean, Samaritan, Coptic, Ethiopic, Armenian, Persian, Indian and Chinese.

Still, the conclusions were the same as those of the earlier book (and would still be the same in the Obelisci Aegyptiaci nuper inter Isaei Romani rudera effosii interpretatio hieroglyphica of 1666 and in the Sphinx mystagoga of 1676).

At times, Kircher seemed to approach the intuition that certain of the hieroglyphs had a phonetic value. He even constructed a rather fanciful alphabet of 21 hieroglyphs, from whose forms he derives, through progressive abstractions, the letters of the Greek alphabet.

Kircher, for example, took the figure of the ibis bending its head until it rests between its two feet as the prototype of the capitalized Greek alpha, A. He arrived at this conclusion by reflecting on the fact that the meaning of the hieroglyphic for the ibis was “Bonus Daemon;” this, in Greek, would have been Agathos Daimon.

But the hieroglyph had passed into Greek through the mediation of Coptic, thanks to which the first sounds of a given word were progressively identified with the form of the original hieroglyph.

At the same time, the legs of the ibis, spread apart and resting on the ground, expressed the sea, or, more precisely, the only form in which the ancient Egyptians were acquainted with the sea–the Nile.

The word delta has remained unaltered in its passage into Greek, and this is why the Greek letter delta (Δ) has retained the form of a triangle.

It was this conviction that, in the end, hieroglyphs all showed something about the natural world that prevented Kircher from ever finding the right track. He thought that only later civilizations established that short-circuit between image and sound, which on the contrary characterized hieroglyphic writing from its early stages.

He was unable, finally, to keep the distinction between a sound and the corresponding alphabetic letter; thus his initial intuitions served to explain the generation of later phonetic alphabets, rather than to understand the phonetical nature of hieroglyphs.

Behind these errors, however, lies the fact that, for Kircher, the decipherment of hieroglyphs was conceived as merely the introduction to the much greater task–an explanation of their mystic significance.

Kircher never doubted that hieroglyphs had originated with Hermes Trismegistus–even though several decades before, Isaac Casaubon had proved that the entire Corpus Hermeticum could not be earlier than the first centuries of the common era.

Kircher, whose learning was truly exceptional, must have known about this. Yet he deliberately ignored the argument, preferring rather to exhibit a blind faith in his Hermetic axioms, or at least to continue to indulge his taste for all that was strange or prodigious.

Out of this passion for the occult came those attempts at decipherment which now amuse Egyptologists. On page 557 of his Obeliscus Pamphylius, figures 20-4 reproduce the images of a cartouche to which Kircher gives the following reading: “the originator of all fecundity and vegetation is Osiris whose generative power bears from heaven to his kingdom the Sacred Mophtha.”

This same image was deciphered by Champollion (Lettre à Dacier, 29), who used Kircher’s own reproductions, as “ΑΟΤΚΡΤΛ (Autocrat or Emperor) sun of the son and sovereign of the crown, ΚΗΣΡΣ ΤΜΗΤΕΝΣ ΣΒΣΤΣ (Caesar Domitian Augustus).”

The difference is, to say the least, notable, especially as regards the mysterious Mophtha, figured as a lion, over which Kircher expended pages and pages of mystic exegesis listing its numerous properties, while for Champollion the lion simply stands for the Greek letter lambda.

In the same way, on page 187 of the third volume of the Oedipus there is a long analysis of a cartouche that appeared on the Lateran obelisk. Kircher reads here a long argument concerning the necessity of attracting the benefits of the divine Osiris and of the Nile by means of sacred ceremonies activating the Chain of Genies, tied to the signs of the zodiac.

Egyptologists today read it as simply the name of the pharaoh Apries.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 154-8.

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May 27, 2016

Eco: The Egyptian Alphabet

The Rosetta Stone, inscribed with a decree by Pharaoh Ptolemy V at Memphis, is dated to 196 BCE. Featuring three scripts, ancient Egyptian, Demotic and ancient Greek, the stele was discovered in 1799 by French soldier Pierre-Françoise Bouchard of the Napoleonic expedition to Egypt. Transferred to British control after the Capitulation of Alexandria in 1801, the stele has been on continual exhibition at the British Museum since 1802. The script was finally transliterated by Jean-Françoise Champollion in 1822, decrypting the mysteries of the Egyptian hieroglyphs. This photo © Hans Hillewaert in 2007, and is licensed under the Creative Commons Attribution-Share Alike 4.0 International license. 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 hieroglyphic script is undoubtedly composed, in part, of iconic signs: some are easily recognizable–vulture, owl, bull, snake, eye, foot, man seated with a cup in hand; others are stylized–the hoisted sail, the almond-like shape for a mouth, the serrated line for water.

Some other signs, at least to the untrained eye, seem to bear only the remotest resemblance to the things that they are supposed to represent–the little square that stands for a seat, the sign of folded cloth, or the semicircle that represents bread.

All these signs are not icons (representing a thing by direct similarity) but rather ideograms, which work by a sort of rhetorical substitution. Thus an inflated sail serves to represent the wind; a man seated with a cup means to drink; a cow’s ear means to understand; the head of a cynocephalus stands for the god Thoth and for all his various attributes, such as writing and counting.

Not everything, however, can be represented ideographically. One way that the ancient Egyptians had found to circumvent this difficult was to turn their ideograms into simple phonograms.

In order to represent a certain sound they put the image of a thing whose name sounded similar. To take an example from Jean-Françoise Champollion‘s first decipherment (Lettre à Dacier, 17 September 1822, 11-12), the mouth, in Egyptian ro, was chosen to represent the Greek consonant P (rho).

It is ironic to think that while, for Renaissance Hermeticists, sounds had to represent the nature of things, for the Egyptians, things (or their corresponding images) were representing sounds (see, for a similar procedure, my remarks in chapter 6 on Bruno’s mnemonics).

By the time interest in Egyptian hieroglyphics had revived in Europe, however, knowledge of the hieroglyphic alphabet had been lost for over a thousand years. The necessary premise for the decipherment of hieroglyphs was a stroke of pure fortune, like the discovery of a bilingual dictionary.

In fact, as is well known, decipherment was made possible by the discovery not of a dictionary, but of a trilingual text, the famous Rosetta Stone, named after the city of Rashid where it was found by a French soldier in 1799, and, as a result of Napoleon’s defeat at the hands of Nelson, soon transferred to London.

The stone bore an inscription in hieroglyphic, in demotic (a cursive, administrative script elaborated about 1,000 BCE), and in Greek.

Working from reproductions, Champollion, in his Lettre à Dacier, laid the foundation for the decipherment of hieroglyphs. He compared two cartouches which, from their position in the text, he guessed must refer to the names of Ptolemy (ΠΤΟΛΟΜΑΙΟΣ) and Cleopatra (ΚΛΟΠΑΤΡΑ).

He identified the five letters that both names have in common (Π, Τ, Ο, Λ, Α), and found that the two cartouches had five hieroglyphs in common as well. By supposing that each other instance of the same sign represented the same sound, Champollion could easily infer the phonetic value of the remaining text.

Champollion’s decipherment does not, however, explain a series of phenomena which can justify the interpretation of Horapollo. Greek and Roman colonizers had imposed on Egypt their commerce, their technology and their gods.

By the time of the spread of Christianity, Egypt had already abandoned many of its ancient traditions. Knowledge of sacred writing was still preserved and practiced only by priests living within the sacred enclosures of the ancient temples.

These were a dwindling breed: in those last repositories of a lost knowledge, cut off from the rest of the world, they cultivated the monuments of their ancient culture.

Since the sacred writing no longer served any practical use, but only initiatory purposes, these last priests began to introduce complexities into it, playing with the ambiguities inherent in a form of writing that could be differently read either phonetically or ideographically.

To write the name of the god Ptah, for example, the P was expressed phonetically and placed at the top of the name with the ideogram for sky (p[t]), the H was placed in the middle and represented by the image of the god Heh with his arms raised, and the T was expressed by the ideogram for the earth (ta).

It was an image that not only expressed Ptah phonetically, but also carried the visual suggestion that the god Ptah had originally separated the earth from the sky.

The discovery that, by combining different hieroglyphs, evocative visual emblems might be created inspired these last scribes to experiment with increasingly complicated and abstruse combinations.

In short, these scribes began to formulate a sort of kabbalistic play, based, however, on images rather than on letters.

Around the term represented by a sign (which was given an initial phonetic reading) there formed a halo of visual connotations and secondary senses, a sort of chord of associated meanings which served to amplify the original semantic range of the term.

The more the sacred text was enhanced by its exegetes, the more the conviction grew that they expressed buried truths and lost secrets (Sauneron 1957: 123-7).

Thus, to the last priests of a civilization sinking into oblivion, hieroglyphs appeared as a perfect language. Yet their perfection could only be understood by visually reading them; if by chance still pronounced, they would have lost any magic (Sauneron 1982: 55-6).”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 146-9.

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May 23, 2016

Eco: Lullian Kabbalism, 2

Jan Amos Komensky, or Johann (John) Amos Comenius (1592-1670), from Opera didactica omnia, Amsterdam, 1657. 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.

“Numerology, magic geometry, music, astrology and Lullism were all thrown together in a series of pseudo-Lullian alchemistic works that now began to intrude onto the scene. Besides, it was a simple matter to inscribe kabbalistic terms onto circular seals, which the magical and alchemical tradition had made popular.

It was Agrippa who first envisioned the possibility of taking from the kabbala and from Lull the technique of combination in order to go beyond the medieval image of a finite cosmos and construct the image of an open expanding cosmos, or of different possible worlds.

In his In artem brevis R. Lulli (appearing in the editio princeps of the writings of Lull published in Strasbourg in 1598), Agrippa assembled what seems, at first sight, a reasonably faithful and representative anthology from the Ars magna.

On closer inspection, however, one sees that the number of combinations deriving from Lull’s fourth figure has increased enormously because Agrippa has allowed repetitions.

Agrippa was more interested in the ability of the art to supply him with a large number of combinations than in its dialectic and demonstrative properties. Consequently, he proposed to allow the sequences permitted by his art to proliferate indiscriminately to include subjects, predicates, rules and relations.

Subjects were multiplied by distributing them, each according to its own species, properties and accidents, by allowing them free play with terms that are similar or opposite, and by referring each to its respective causes, actions, passions and relations.

All that is necessary is to place whatever idea one intends to consider in the center of the circle, as Lull did with the letter A, and calculate its possible concatenations with all other ideas.

Add to this that, for Agrippa, it was permissible to add many other figures containing terms extraneous to Lull’s original scheme, mixing them up with Lull’s original terms: the possibilities for combination become almost limitless (Carreras y Artau 1939: 220-1).

Valerio de Valeriis seems to want the same in his Aureum opus (1589), when he says that the Ars “teaches further and further how to multiply concepts, arguments, or any other complex unto infinity, tam pro parte vera quam falsa, mixing up roots with roots, roots with forms, trees with trees, the rules with all these other things, and very many other things as well” (“De totius operis divisione“).

Authors such as these still seem to oscillate, unable to decide whether the Ars constitutes a logic of discovery or a rhetoric which, albeit of ample range, still serves merely to organize a knowledge that it has not itself generated.

This is evident in the Clavis universalis artis lullianae by Alsted (1609). Alsted is an author, important in the story of the dream of a universal encyclopedia, who even inspired the work of Comenius, but who still–though he lingered to point out the kabbalist elements in Lull’s work–wished to bend the art of combination into a tightly articulated system of knowledge, a tangle of suggestions that are, at once, Aristotelian, Ramist and Lullian (cf. Carreras y Artau 1939: II, 239-49; Tega 1984: I, 1).

Before the wheels of Lull could begin to turn and grind out perfect languages, it was first necessary to feel the thrill of an infinity of worlds, and (as we shall see) of all of the languages, even those that had yet to be invented.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 130-2.

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May 23, 2016

Eco: Lullian Kabbalism

Unknown artist, Roma 1493, depicting the city of Rome as it appeared in that year. This woodcut was published in Hartmann Schedel (1440-1514), Schedelsche Weltchronik, Nürnberg, 1493, on folio lvii verso and lviii recto. Known in English as the Nuremberg Chronicle, or Schedel’s World Chronicle, the work commissioned by Sebald Schreyer (1446-1520) and Sebastian Kammermeister (1446-1503) was lushly illustrated with the first depictions of many cities. 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.

“We have now reached a point where we must collect what seem the various membra disiecta of the traditions we have been examining and see how they combined to produce a Lullian revival.

We can begin with Pico della Mirandola: he cited Lull in his Apologia of 1487. Pico, of course, would have been aware that there existed analogies between the permutational techniques of Lull and the temurah (which he called “revolutio alphabetaria“).

He was acute enough, however, to realize that they were two different things. In the Quaestio Sexta of the Apologia, where Pico proved that no science demonstrates the divinity of Christ better than magic and the kabbala, he distinguished two doctrines which might be termed kabbalist only in a figurative (transumptive) sense: one was the supreme natural magic; the other was the hokmat ha-zeruf of Abulafia that Pico termed an “ars combinandi,” adding that “apud nostros dicitur ars Raymundi licet forte diverso modo procedat” (“it is commonly designated as the art of Raymond, although it proceeds by a different method”).

Despite Pico’s scruples, a confusion between Lull and the kabbala was, by now, inevitable. It is from this time that the pathetic attempts of the Christian kabbalists to give Lull a kabbalistic reading begin.

In the 1598 edition of Lull’s works there appeared, under Lull’s name, a short text entitled De auditu kabbalistico: this was nothing other than Lull’s Ars brevis into which had been inserted a number of kabbalistic references.

It was supposedly first published in Venice in 1518 as an opusculum Raimundicum. Thorndike (1923-58: v, 325) has discovered the text, however, in manuscript form, in the Vatican Library, with a different title and with an attribution to Petrus de Maynardis.

The manuscript is undated, but, according to Thorndike, its calligraphy dates it to the fifteenth century. The most likely supposition is that it is a composition from the end of that century in which the suggestions first made by Pico were taken up and mechanically applied (Scholem et al. 1979: 40-1).

In the following century, the eccentric though sharp-witted Tommaso Garzoni di Bagnacavallo saw through the imposture. In his Piazza universale du tutte le arti (1589: 253), he wrote:

“The science of Raymond, known to very few, might be described with the term, very improper in itself, of Cabbala. About this, there is a notion common to all scholars, indeed, to the whole world, that in the Cabbala can be found teachings concerning everything [ . . . ] and for this reason one finds in print a little booklet ascribed to him [Lull] (though on this matter people beyond the Alps write many lies) bearing the title De Auditu Cabalistico. This is nothing but a brief summary of the Arte Magna as abbreviated, doubtlessly by Lull himself, into the Arte Breve.”

Still, the association persisted. Among various examples, we might cite Pierre Morestel, who published an Artis kabbalisticae, sive sapientiae diviniae academia in 1621, no more than a modest compilation from the De auditu.

Except for the title, and the initial identification of the Ars of Lull with the kabbala, there was nothing kabbalistic in it. Yet Morestel still thought it appropriate to include the preposterous etymology for the word kabbala taken from De auditu: “cum sit nomen compositum ex duabus dictionibus, videlicet abba et ala. Abba enim arabice idem quod pater latine, et ala arabice idem est quod Deus meus” (“as this name is composed of two terms, that is abba and ala. Abba is an Arabic word meaning Latin pater; ala is also Arabic, and means Deus meus“).

For this reason, kabbala means “Jesus Christ.”

The cliché of Lull the kabbalist reappears with only minimum variation throughout the writings of the Christian kabbalists. Gabriel Naudé, in his Apologie pour tous les grands hommes qui ont esté accuséz de magie (1625), energetically rebutted the charge that the poor Catalan mystic engaged in the black arts.

None the less, French (1972: 49) has observed that by the late Renaissance, the letters from B to K, used by Lull, had become associated with Hebrew letters, which for the kabbalists were names of angels or of divine attributes.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 128-30.

(Editorial Note: wallowing in the bibliography of Raimon Llull is not for the meek. I encountered many culs-de-sac and could not find digital versions of many of the works mentioned by Eco in this segment. If you have URLs to works which are not linked in this excerpt from Eco, please share them using the comment feature. Thank you.)

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May 7, 2016

Eco: The Etymological Furor

956px-Conrad_Gesner_-_Conradi_Gesneri_Historia_plantarum_Walderbeere

Conrad Gesner (1516-65), Conradi Gesneri Historia plantarum Walderbeere, Zurich: Botanical Garden zur Katz, published in 1750. Photographed by Roland zh, licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. 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.

“Postel’s was a clear and unambiguous demand for the restoration of Hebrew as the universal language. Few, however, made this demand in so radical a fashion. For others, it was usually enough to demonstrate that Hebrew was superior because it was the first language from which all others had derived.

One example is the Mithridates of Conrad Gessner. Published in 1555, the Mithridates is a book that draws parallels between fifty-five different languages.

Having dwelt briefly on the happy condition of some legendary beings with two tongues, one for human speech and the other to speak the language of the birds, Gessner immediately passed to the claim that “all existing languages had retained words of a Hebrew origin, though in a corrupt state” (1610 edn: 3).

Other authors–in order to demonstrate such a parenthood–started a mad etymological chase.

This etymological furor was not a new condition. Between the sixth and seventh centuries, by a fanciful account of the seventy-two existing languages, Isidore of Seville (Etymologiarum) elaborated a series of etymologies that has made him the laughing stock of scholars ever since: our corpus (body) comes from corruptus perit as our body goes to corruption; homo (man) derives from humus or mud from which he is born; iumenta (mare) comes from iuvat because horses help men; agnus is a lamb because it recognizes its own mother . . . These are examples of hyper-Cratylian mimological hypothesis, and we shall see that they were taken up by the supporters of Hebrew.

In 1613 Claude Duret published his monumental Thrésor de l’histoire des langues de cet univers. Using the Christian kabbala as his starting point, Duret set forth a vast panorama that swept from the origins of language, to an examination of all known tongues, including those of the New World, to a final chapter on the language of animals.

Duret started from the premise that Hebrew was the universal language of the human race; it thus appeared to him as self-evident that each animal name in Hebrew should include an encapsulated “natural history” of that animal.

Thus we are told that, in Hebrew:

the Eagle is called Nescher, a word formed by the combination of Schor and Isachar, the first meaning to look and the second to be straight because, above all others, the eagle is a bird of firm sight whose gaze is always directed towards the sun [ . . . ]

The Lion has three names, that is Aryeh, Labi, and Layisch. The first name comes from another which means tear or lacerate; the second is related to the word leb which means heart, and laab, which means to live in solitude.

The third name usually means a great and furious lion, and bears an analogy with the verb yosh, which means trample. [ . . . ] because this animal tramples and damages its prey. (p. 40).

Hebrew had managed to retain this proximity to the world of things because it never permitted itself to be polluted by other languages (ch. x). This presumption of Hebrew’s natural affinity to the world of things is also demonstrated by its magic potential.

Duret recalled that Eusebius and St. Jerome had ridiculed the Greeks because they had exalted their own language but were unable to find any mystic significance of their alphabet.

Only ask a Hebrew child the significance of the letter Alef, and he will respond “discipline,” and so on for all the other letters and for their combinations (p. 194).

Duret is an example of retrospective etymologizing, aiming at showing how the mother tongue was harmoniously related to the nature of things. Other authors engaged in prospective etymologizing, projecting Hebrew words forwards to show how they transmuted themselves into the words of all other languages.

In 1606, Estienne Guichard wrote his L’harmonie étymologique des langues, where he showed that all existing languages might be derived from Hebrew roots. He started from the premise that Hebrew was the simplest language because in it “all words are simple, and their substance consists of but three radicals.”

Manipulating these radicals through inversion, anagrams and permutations in the best kabbalistic tradition, Guichard provided his etymologies.

In Hebrew, the verb batar means to divide. How can we prove that Latin dividere comes from batar? Simple: by inversion, batar produces tarab; tarab then becomes the Latin tribus and, from there, turns into distribuo and dividere (p. 147). Zacen means old. Rearranging the radicals, we get zanec from which derives Latin senex.

A further rearrangement and we have cazen, from which derives the Oscan word casnar, which is the root of the Latin canus, elder (p. 247). By this method we might equally prove that the English head comes from the late Latin testa, since the anagram of testa gives eatts.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 80-2.

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May 6, 2016

Eco: Postel’s Universalistic Utopia, 2

An unattributed and undated portrait of Guillaume Postel (1510-84), published by George Saliba. 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.

“After various peregrinations, Postel found himself in Venice, where, in 1547, he was appointed chaplain of the Hospital of Sts. John and Paul (called the Ospedaletto), and censor of books published in the Hebrew language in that city.

While in the Ospedaletto, he was appointed confessor to its founder, the fifty year old Johanna, or Mother Zuana, a woman who had dedicated her life to helping the poor. Gradually, the conviction grew on Postel that in meeting Johanna, he had come into contact with a great prophetic spirit.

He conceived for her a mystic passion in which he saw her as the mother of the world, destined to redeem humanity from its original sin.

After rereading the kabbalist text, the Zohar, Postel identified Johanna as Shekinah as well as with the angelical pope whose coming had been foretold in the prophecies of Joachim a Fiore.

Finally, he identified her as the second Messiah. According to Postel, the feminine component of humanity, guilty of the sin of Eve, had not been saved by Christ. The salvation of the daughters of Eve would only occur with the coming of a second Messiah (on Postel’s “feminism” cf. Sottile 1984).

The question whether Johanna was truly a mystic with extraordinary capacities or whether these were just qualities that Postel projected into her is hardly an important issue for us.

What is important rather is that there was now established an intense spiritual communion: Johanna, the kabbala, universal peace, the last age foretold by Joachim, were all thrown into a single crucible; what emerged was Johanna in the role formerly held by Ignatius Loyola in Postel’s utopian schemes.

What is more, “Johanna’s “immaculate conception” produces her “little son,” Postel, the new Elias” (Kuntz 1981: 91).

Rumors of singular goings on at the Ospedaletto soon spread, however, and in 1549, Postel was forced to leave Venice. He resumed his wanderings in the Orient, returning to Venice the following year only to learn of the death of Johanna.

According to tradition, on hearing the news he fell into a state of prostration mixed with ecstasy in which he claimed to be able to stare into the sun for an hour. He felt the spirit of Johanna gradually invading his body (Kuntz: 1981: 104). He began to proclaim his belief in metempsychosis.

Postel next returned to Paris where, with great public acclaim, he resumed his teaching. Yet soon he was announcing the advent of the era of Restitution, a golden century under the sign of Johanna.

Once again, he found himself at the center of a philosophical and religious turmoil. When the king forced him to abandon teaching, he set off on a new journey through various cities, ending up again in Venice, arriving just in time to prevent his books from being placed on the Index.

He was questioned by the Inquisition, which tried to induce him to recant. In 1555, in recognition of his services to science and politics, he was declared “non malus sed amens,” not guilty but insane.

His life was spared, but he was imprisoned, first in Ravenna and afterwards in Rome.

At the request of the French religious authorities, Postel was later transferred to Paris, in 1564. He retired to the monastery of Saint-Martin-des-Champs where he lived until his death in 1587. During this period, he wrote a repudiation of his heretical doctrines concerning Mother Johanna.

Apart from this final capitulation, Postel seems to have been a relentless defender of ideas which, for this period, were quite unconventional. His particular vision of utopia must be regarded within the cultural context of his time.

Demonet (1992: 337ff) underlines that his idea of the “restitution” of Hebrew as the language of universal concord also required that infidels recognize their error and accept the Christian revelation.

None the less, as Kuntz notes (1981: 49), Postel was neither an orthodox Catholic nor an orthodox Protestant; his moderate and pacifist positions infuriated, in fact, extremists of both persuasions.

Some of his doctrines were theologically ambiguous: he claimed that Christianity was the only religion that verified the message of Judaism, but–at the same time–that to be a good Christian it was not necessary to belong to a sect (Catholic church included), but rather to feel the presence of the divine within.

It followed that a true Christian could, and even should, observe Jewish law, and that the Muslims could be considered half-Christians.

More than once, Postel condemned the persecution of the Jews. He spoke of the Jewishness of all men, talking of Christian-Jews instead of Jewish Christians (Kuntz 1981: 130).

He claimed that the true tradition of Christianity was Judaism with its name changed, and lamented that Christianity had lost its Judaic roots.

Such positions could only be seen as extremely provocative by a church still clinging to the pre-Renaissance doctrine that Christianity represented both the correction and the cancellation of Judaism.

In order to affirm, as Postel did in his De orbis, the existence of a harmony between the faiths, it was necessary to exercise a tolerance on a number of theological issues. Postel’s doctrine has thus been described as a universalistic theism (Radetti 1936).”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 77-80.

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May 5, 2016

Eco: Postel’s Universalistic Utopia

Guillaume Postel, The Great Key, Eliphas Levi, The Key of the Great Mysteries, 1861

Guillaume Postel (1510-81), The Great Key, in Eliphas Levi (1810-75), La Clef des Grands Mystères, The Key of the Great Mysteries, 1861.

“A special place in the story of the renewal of Hebrew studies belongs to the French utopian thinker and érudit, Guillaume Postel (1510-81). Councillor to the kings of France, close to the major religious, political and scientific personalities of his epoch, Postel returned from a series of diplomatic missions to the Orient, voyages which enabled him to study Arabic and Hebrew as well as to learn of the wisdom of the kabbala, a changed and marked man.

Already renowned as a Greek philologist, around 1539, Postel was appointed to the post of “mathematicorum et peregrinarum linguarum regius interpretes” in that Collège des Trois Langues which eventually became the Collège de France.

In his De originibus seu de Hebraicae linguae et gentis antiquitate (1538), Postel argued that Hebrew came directly from the sons of Noah, and that, from it, Arabic, Chaldean, Hindi and, indirectly, Greek had all descended as well.

In Linguarum duodecem characteribus differentium alphabetum, introductio (1538), by studying twelve different alphabets he proved the common derivation of every language. From here, he went on to advance the project of a return to Hebrew as the instrument for the peaceable fusion of the peoples of differing races.

To support his argument that Hebrew was the proto-language, Postel developed the criterion of divine economy. As there was but one human race, one world and one God, there could be but one language; this was a “sacred language, divinely inspired into the first man” (De Foenicum litteris, 1550).

God had educated Adam by breathing into him the capacity to call things by their appropriate names (De originibus, seu, de varia et potissimum orbit Latino ad hanc diem incognita aut inconsyderata historia, 1553).

Although Postel does not seem to have thought either of an innate faculty for languages or of a universal grammar, as Dante had done, there still appears in many of his writings the notion of an Averroist active intellect as the repository of the forms common to all humanity, in which the roots of our linguistic faculty must be sought (Les très merveilleuses victoires des femmes du nouveau monde together with La doctrine du siècle doré, both from 1553).

Postel’s linguistic studies were connected to his particular vision of a religious utopia: he foresaw the reign of universal peace.

In his De orbis terrae concordia (1544:I) he clearly states that his studies in language would help to lay the foundations upon which a universal concord could be created. He envisioned the creation of a linguistic commonwealth that would serve as living proof to those of other faiths that not only was the message of Christianity true, but equally it verified their own religious beliefs: there are some principles of a natural religion, or sets of innate ideas held by all peoples (De orbis, III).

Here was the spirit that had inspired Lull and Nicholas of Cusa. Yet Postel was convinced that universal peace could only be realized under the protection of the king of France: among the world’s rulers the king of France alone held a legitimate claim to the title of king of the world.

He was the direct descendent of Noah, through Gomer, son of Japheth, founder of the Gallic and Celtic races (cf. particularly Les raisons de la monarchie, c. 1551). Postel (Trésor des propheties de l’univers, 1556) supported this contention with a traditional etymology (see, for example, Jean Lemaire de Belges, Illustration de Gaule et singularitez de Troye, 1512-3, fol. 64r): in Hebrew, the term gallus meant “he who overcame the waves;” thus the Gauls were the people who had survived the waters of the Flood (cf. Stephens 1989:4).

Postel first attempted to convert Francis I to his cause. The king, however, judged him a fanatic, and he lost favor at court. He went to Rome, hoping to win over to his utopian schemes Ignatius of Loyola, whose reformist ideals seemed kindred to his own.

It did not take Ignatius long, however, to realize that Postel’s ambitions were not identical to those of the Jesuits. Accepting Postel’s project might have placed their vow of obedience to the pope at risk.

Besides, Ignatius was a Spaniard, and the idea of turning the king of France into the king of the world would hardly have appealed to him. Although Postel continued long afterwards to look upon the Jesuits as the divine instrument for the creation of universal peace, he himself was forced to leave the company after a mere year and a half.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 75-7.

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May 2, 2016

Eco: The Arbor Scientarium, 2

Ramon Llull, Arbor Scientiae, Rome, 1295. 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.

“Between the first and last versions of his art, Lull’s thought underwent a long process of evolution (described by Carreras y Artau 1939: I, 394), in order to render his art able to deal not only with theology and metaphysics, but also with cosmology, law, medicine, astronomy, geometry and psychology.

Increasingly, the art became a means of treating the entire range of knowledge, drawing suggestions from the numerous medieval encyclopedias, and anticipating the encyclopedic dreams of the Renaissance and the baroque.

All this knowledge, however, needed to be ordered hierarchically. Because they were determinations of the first cause, the dignities could be defined circularly, in reference to themselves; beyond the dignities, however, began the ladder of being. The art was designed to permit a process of reasoning at every step.

The roots of the Tree of Science were the nine dignities and the nine relations. From here, the tree then spread out into sixteen branches, each of which had its own, separate tree. Each one of the sixteen trees, to which there was dedicated a particular representation, was divided into seven parts–roots, trunk, major branches, lesser branches, leaves, fruits and flowers.

Eight of the trees clearly corresponded to eight of the subjects of the tabula generalis: these are the Arbor elementalis, which represents the elementata, that is, objects of the sublunary world, stones, trees and animals composed of the four elements; the Arbor vegetalis; the Arbor sensualis; the Arbor imaginalis, which represents images that replicate in the mind whatever is represented on the other trees; the Arbor humanalis et moralis (memory, intellect and will, but also the various sciences and arts); the Arbor coelestialis (astronomy and astrology); the Arbor angelicalis; and the Arbor divinalis, which includes the divine dignities.

To this list are added another eight: the Arbor mortalis (virtues and vices); the Arbor eviternalis (life after death); the Arbor maternalis (Mariology); the Arbor Christianalis (Christology); the Arbor imperialis (government); the Arbor apostolicalis (church); the Arbor exemplificalis (the contents of knowledge); and the Arbor quaestionalis, which contains four thousand questions on the various arts.

To understand the structure of these trees, it is enough to look at only one–the Arbor elementalis. Its roots are the nine dignities and nine relations. Its trunk represents the conjoining of these principles, out of which emerges the confused body of primordial chaos which occupies space.

In this are the species of things and their dispositions. The principle branches represent the four elements (earth, air, fire and water) which stretch out into the four masses which are made from them (the seas and the lands).

The leaves are the accidents. The flowers are the instruments, such as hands, feet and eyes. The fruits represent individual things, such as stone, gold, apple, bird.

Calling this a “forest” of trees would be an improper metaphor: the trees overlay one another to rise hierarchically like the peaked roof of a pagoda. The trees at the lower levels participate in those higher up.

The vegetable tree, for example, participates in the tree of elements; the sensual tree participates in the first two; the tree of imagination is built up out of the first three, and it forms the base from which the next tree, the human one, will arise (Llinares 1963: 211-2).

The system of trees reflects the organization of reality itself; it represents the great chain of being the way that it is, and must metaphysically be. This is why the hierarchy constitutes a system of “true” knowledge.

The priority of metaphysical truth over logical validity in Lull’s system also explains why he laid out his art the way he did: he wished his system to produce, for any possible argument, a middle term that would render that argument amenable to syllogistic treatment; having structured the system for this end, however, he proceeded to discard a number of well-formed syllogisms which, though logically valid, did not support the arguments he regarded as metaphysically true.

For Lull, the significance of the middle term of the syllogism was thus not that of scholastic logic. Its middle term served to bind the elements of the chain of being: it was a substantial, not a formal, link.

If the art is a perfect language, it is so only to the extent to which it can speak of a metaphysical reality, of a structure of being which exists independently of it. The art was not a mechanism designed to chart unknown universes.

In the Catalan version of his Logica Algazelis, Lull writes, “De la logic parlam tot breau–car a parlor avem Deu.” (“About logic we will be brief, for it is to talk about God”).

Much has been written about the analogy between Lull’s art and the kabbala. What distinguishes kabbalistic thought from Lull’s is that, in the kabbala, the combination of the letters of the Torah had created the universe rather than merely reflected it.

The reality that the kabbalistic mystic sought behind these letters had not yet been revealed; it could be discovered only through whispering the syllables as the letters whirled.

Lull’s ars combinatoria, by contrast, was a rhetorical instrument; it was designed to demonstrate what was already known, and lock it for ever in the steely cage of the system of trees.

Despite all this, the art might still qualify as a perfect language if those elementary principles, common to all humanity, that it purported to expound really were universal and common to all peoples.

As it was, despite his effort to assimilate ideas from non-Christian and non-European religions, Lull’s desperate endeavor failed through its unconscious ethnocentrism. The content plane, the universe which his art expounded, was the product of the western Christian tradition.

It could not change even though Lull translated it into Arabic or Hebrew. The legend of Lull’s own agony and death is but the emblem of that failure.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 67-9.

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May 2, 2016

Eco: The Arbor Scientarium

Ramon Llull, Liber de ascensu et decensu intellectus, 1304, first published 1512. 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 Lullian art was destined to seduce later generations who imagined that they had found in it a mechanism to explore the numberless possible connections between dignities and principles, principles and questions, questions and virtues or vices.

Why not even construct a blasphemous combination stating that goodness implies an evil God, or eternity a different envy? Such a free and uncontrolled working of combinations and permutations would be able to produce any theology whatsoever.

Yet the principles of faith, and the belief in a well-ordered cosmos, demanded that such forms of combinatorial incontinence be kept repressed.

Lull’s logic is a logic of first, rather than second, intentions; that is, it is a logic of our immediate apprehension of things rather than of our conceptions of them. Lull repeats in various places that if metaphysics considers things as they exist outside our minds, and if logic treats them in their mental being, the art can treat them from both points of view.

Consequently, the art could lead to more secure conclusions than logic alone, “and for this reason the artist of this art can learn more in a month than a logician can in a year.” (Ars magna, X, 101).

What this audacious claim reveals, however, is that, contrary to what some later supposed, Lull’s art is not really a formal method.

The art must reflect the natural movement of reality; it is therefore based on a notion of truth that is neither defined in the terms of the art itself, nor derived from it logically. It must be a conception that simply reflects things as they actually are.

Lull was a realist, believing in the existence of universals outside the mind. Not only did he accept the real existence of genera and species, he believed in the objective existence of accidental forms as well.

Thus Lull could manipulate not only genera and species, but also virtues, vices and every other sort of differentia as well; at the same time, however, all those substances and accidents could not be freely combined because their connections were determined by a rigid hierarchy of beings (cf. Rossi 1960: 68).

In his Dissertatio de arte combinatoria of 1666, Leibniz wondered why Lull had limited himself to a restricted number of elements. In many of his works, Lull had, in truth, also proposed systems based on 10, 16, 12 or 20 elements, finally settling on 9. But the real question ought to be not why Lull fixed upon this or that number, but why the number of elements should be fixed at all.

In respect of Lull’s own intentions, however, the question is beside the point; Lull never considered his to be an art where the combination of the elements of expression was free rather than precisely bound in content.

Had it not been so, the art would not have appeared to Lull as a perfect language, capable of illustrating a divine reality which he assumed from the outset as self-evident and revealed.

The art was the instrument to convert the infidels, and Lull had devoted years to the study of the doctrines of the Jews and Arabs. In his Compendium artis demonstrativa (“De fine hujus libri“) Lull was quite explicit: he had borrowed his terms from the Arabs.

Lull was searching for a set of elementary and primary notions that Christians held in common with the infidels. This explains, incidentally, why the number of absolute principles is reduced to nine (the tenth principle, the missing letter A, being excluded from the system, as it represented perfection or divine unity).

One is tempted to see in Lull’s series the ten Sefirot of the kabbala, but Plazteck observes (1953-4: 583) that a similar list of dignities is to be found in the Koran. Yates (1960) identified the thought of John Scot Erigene as a direct source, but Lull might have discovered analogous lists in various other medieval Neo-Platonic texts–the commentaries of pseudo-Dionysius, the Augustinian tradition, or the medieval doctrine of the transcendental properties of being (cf. Eco 1956).

The elements of the art are nine (plus one) because Lull thought that the transcendental entities recognized by every monotheistic theology were ten.

Lull took these elementary principles and inserted them into a system which was already closed and defined, a system, in fact, which was rigidly hierarchical–the system of the Tree of Science.

To put this in other terms, according to the rules of Aristotelian logic, the syllogism “all flowers are vegetables, X is a flower, therefore X is a vegetable” is valid as a piece of formal reasoning independent of the actual nature of X.

For Lull, it mattered very much whether X was a rose or a horse. If X were a horse, the argument must be rejected, since it is not true that a horse is a vegetable. The example is perhaps a bit crude; nevertheless, it captures very well the idea of the great chain of being (cf. Lovejoy 1936) upon which Lull based his Arbor scientiae (1296).”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 64-7.

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April 30, 2016

Eco: Dante and Abulafia, 2

Bartolomeu Velho (d.1568), Figure of the Heavenly Bodies, an illuminated illustration of the Ptolemaic geocentric conception of the Universe, from Cosmographia, 1568. Held in the Bibliotèque Nationale de France, Paris. 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.

“Yet could Dante have known the theories of Abulafia?

Abulafia visited Italy on several occasions: he was in Rome in 1260; he remained on the peninsula until 1271, when he returned to Barcelona; he returned to Rome in 1280 with the project of converting the pope.

He journeyed afterwards to Sicily, where we lose trace of him somewhere near the end of the 1290s. His ideas incontestably exercised an influence on contemporary Italian Jewish thought. We have a record of a debate in 1290 between Hillel of Verona (who had probably met Abulafia twenty years earlier) and Zerakhya of Barcelona, who arrived in Italy at the beginning of the 1270s (cf. Genot-Bismuth 1988: II).

Hillel, who had contacts in the world of Bologna intellectuals, had written to Zerakhya to ask him the question first posed by Herodotus: in what language would a child speak if it were brought up with no linguistic stimuli?

Hillel maintained that such a child would naturally speak Hebrew, because Hebrew was humanity’s original natural language. Hillel either did not know, or else disregarded, the fact that Abulafia was of a different opinion. Not so with Zerakhya.

He sarcastically remarked that Hillel had been taken in by the siren song of the “uncircumcised” of Bologna. The first sounds emitted by a child without linguistic education, he asserted, would resemble the barking of dogs. It was madness to maintain that the sacred language could be naturally bestowed on human beings.

Humanity possessed a linguistic potential, but it was a potential that could be activated only through education of the vocal organs. This, however, required instruction.

At this point, Zerakhya brought forward a proof that we shall find in a number of post-Renaissance Christian authors (for example, in the In Biblia polyglotta prolegomena by Walton in 1673, or the De sacra philosophia of 1652 by Vallesio): had there been the primordial gift of an original sacred language, then all human beings, regardless of their native tongue, would have the innate ability to speak it.

The existence of such a debate is enough to show, without needing to invent a meeting between Dante and Abulafia, that Abulafia’s ideas were subject to discussion in Italy, especially in the Bolognese intellectual circles which influenced Dante, and from which, according to Maria Corti, he absorbed his notion of the forma locutionis.

Nor does the Bologna debate constitute the only point of encounter between Dante and Jewish thought.

Genot-Bismuth has given us a vivid picture of the close of the thirteenth century in which we will later find a Yehuda Romano giving a series of lectures on the Divine Comedy for his co-religionists, a Lionello di Ser Daniele who did likewise using a Divine Comedy transliterated into Hebrew script, not to mention the surprising personage of Immanuel da Roma, who, in his own poetic compositions, seemed to launch an attack on Dante’s ideals almost aspiring to produce a sort of counter-Comedy in Hebrew.

Naturally this only establishes the influence of Dante on Italian Jewish culture, not the other way around. Yet Genot-Bismuth is able to show opposing influences as well, even to the point of suggesting that Dante’s theory of the four senses of scripture, found in his Epistula, XIII (cf. Eco 1985), had a Jewish origin.

Such a hypothesis may be too bold: there were any number of Christian sources from which Dante might have drawn this doctrine. What seems less daring, and, in fact, entirely plausible, is the suggestion that, in Bologna, Dante would have heard echoes of the debate between Hillel and Zerakhya.

One could say that in DVE he appears still close to the position of the former (or of his Christian inspirers, as Zerakhya reproaches him), while in Paradise he turns towards the positions of the latter, that is, the position of Abulafia (even though, when writing DVE, he already had the opportunity to know both theses).

However, it is not necessary to document direct links (even though Genot-Bismuth finds the presence of Jewish influences in certain passages of the De regimine principium of Giles of Rome), but rather to demonstrate the existence of a cultural climate in which ideas could circulate and within which a formal and informal debate between the church and the synagogue might ensue (cf. Calimani 1987: viii).

We should remember that, before the Renaissance, a Christian thinker would scarcely wish to admit publicly that he drew on Hebrew doctrine.

Like heretics, the Jewish community belonged to a category of outcasts that–as Le Goff shrewdly observes–the Middle Ages officially despised but at the same time admired; regarding them with an admixture of attraction and fear, keeping them at a distance, but making sure that the distance was fixed near enough so they would always remain close at hand.

“What was termed charity in their regard more resembled the game that cats play with mice” (Le Goff 1964:373).

Before the kabbala was rehabilitated by humanist culture, Christianity knew little of it. It was often simply regarded as a branch of the black arts. Even so, as Gorni has pointed out (1990: vii), in the Divine Comedy, Dante seems to share a great deal of knowledge about magic and divinatory practices (astrology, chiromancy, physiognomy, geomancy, pyromancy, hydromancy and, not least, the black arts of magic themselves).

In one way or another, Dante seems to have been informed about an excluded and underground culture in which, at least according to vulgar opinion, the kabbala somehow belonged.

In this way, it becomes ever more plausible that, even if it does not derive directly from the theories of the Modistae, Dante’s forma locutionis is not a language but the universal matrix for all language.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 49-52.

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April 29, 2016

Eco: Dante and Abulafia

Hieronymus Bosch (1450-1516), The Haywain or The Hay Wagon Triptych (1516), held after 1907 as accession number P02052 in The Prado Museum, Madrid. Bosch signed this work “Jheronimus Bosch” in the lower right corner of the central panel. 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.

“If we turn from DVE to Paradise, xxxvi (several years having passed in the meantime), we find that Dante has changed his mind. In the earlier work, Dante unambiguously states that it was from the forma locutionis given by God that the perfect language of Hebrew was born, and that it was in this perfect language that Adam addressed God, calling him El. In Paradise, xxxvi, 124-38, however, Adam says:

“La lingua ch’io parlai fu tutta spenta

innanzi che all’ovra incomsummabile

fosse le gente di Nembròt attenta:

ché nullo effetto mai razïonabile,

per lo piacer uman che rinovella

seguendo il cielo, sempre fu durabile.

Opera naturale è ch’uom favella,

ma, così o così, natura lascia,

poi fare a voi, secondo che v’abbella.

Pria ch’i’ pscendessi all’infernale ambascia

I s’appellava in terra il sommo bene,

onde vien letizia che mi fascia;

e EL si chiamò poi: e ciò convene,

ché l’uso dei mortali è come fronda

in ramo, che sen va e altra vene.“

“The language that I spoke was entirely extinguished before the uncompletable work [the tower of Babel] of the people of Nembrot was even conceived: because no product of the human reason, from the human taste for always having something new, following the influence of the stars, is ever stable. It is natural that man speaks; but whether this way or that, nature lets you yourselves do as it pleases you. Before I descended into the pains of Hell, on earth the Highest Good was called I–from whence comes the light of joy that enfolds me; the name then became EL: and this change was proper, because the customs of mortals are like the leaves on a branch, one goes and another comes.”

Born of humanity’s natural disposition towards speech, languages may split, grow and change through human intervention. According to Adam, the Hebrew spoken before the building of the tower, when God was named El, was not the same as the Hebrew spoken in the earthly paradise, when Adam called him I.

Dante seems here to oscillate between Genesis 10 and Genesis 11. He must always have known these two texts; what could have induced him to modify his earlier views? An intriguing clue is the strange idea that God had once been called I, a term that not one of Dante’s legion of commentators has ever been able to explain satisfactorily.

Returning for a moment to the last chapter, we remember that for Abulafia, the atomic elements of any text–the letters–had individual meanings of their own. Thus, in the divine name YHWH, the letter Yod was itself a divine name.

Dante would have transliterated Yod as I, and this gives one possible source for his change of opinion. If this is so, it would not be the only idea that Dante seems to have had in common with Abulafia.

We saw in the last chapter that for Abulafia the Torah had to be equated with the active intellect, and the scheme from which God created the world was the same as the gift which he gave to Adam–a linguistic matrix, not yet Hebrew, yet capable of generating all other languages.

There were Averroist sympathies in Dante, too, especially in his version of the Avicennist and Augustinian concept of the active intellect (equated with divine wisdom) which offers the forms to possible intellect (cf. in particular, Nardi 1942: v). Nor were the Modistae and the others who supported the idea of universal grammar exempt from Averroist influence.

Thus there existed a common philosophical ground which, even without positing direct links, would have inclined both Dante and Abulafia to regard the gift of language as the bestowal of a forma locutionis, defined as a generative linguistic matrix with affinities to the active intellect.

There are further parallels as well. For Abulafia, Hebrew was the historic proto-language. It was a proto-language, however, that during their exile, the chosen people had forgotten. By the time of the confusion of Babel, therefore, the language of Adam was, as Dante puts it, “tutta spenta” (entirely extinguished).

Idel (1989: 17) cites an unedited manuscript by a disciple of Abulafia which says:

“Anyone who believes in the creation of the world, if he believes that languages are conventional he must also believe that they are of two types: the first is Divine, i.e. agreement between God and Adam, Eve and their children.

The second is derived from the first, and the first was known only to Adam and was not passed on to any of his offspring except for Seth, [ . . . ] And so, the traditions reached Noah. And the confusion of the tongues during the generation of the dispersion [at the tower of Babel] occurred only to the second type of language, i.e., to natural language.”

If we remember that, in such a context, the term “tradition” can refer to the kabbala itself, it seems evident that the above passage alludes, once again, to a linguistic wisdom, a forma locutionis, regarded as a set of rules for constructing the differing languages.

If, in its original form, this wisdom was not a language, but rather a universal matrix for all languages, we can not only explain the mutation of Hebrew between Eden and Babel, but also understand the hope that this original wisdom might somehow be recuperated and (in different ways, obviously, for Abulafia and Dante) even be made to bloom again.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 46-9.

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April 26, 2016

Eco: The Mother Tongue

The Hebrew alphabet. Compiled and posted by Assyrio on Wikipedia. The copyright holder releases this work into the public domain, granting anyone the right to use this work for any purpose without any conditions, unless such conditions are required by law.

Humiliter dedicata a amico miles Georgius Hand IV, polyglottis et πολυμαθής.

“Despite this, Abulafia did not think that this matrix of all languages (which coincides with the eternal, but not with the written, Torah) corresponded yet to Hebrew. Here Abulafia made a distinction between the twenty-two letters as a linguistic matrix, and Hebrew as the mother tongue of humanity.

The twenty-two Hebrew letters represented the ideal sounds which had presided over the creation of the seventy existing languages. The fact that other languages had more vowels depended on the variations in pronouncing the twenty-two letters. In modern terminology, the new foreign sounds would be called allophones of the fundamental Hebrew phonemes.

Other kabbalists had observed that the Christians lacked the letter Kheth, while the Arabs lacked Peh. In the Renaissance, Yohanan Alemanno argued that the origins of these phonetic deviations in non-Hebrew languages were the noises of beasts; some were like the grunting of pigs, others were like the croaking of frogs, still others were like the sound of a crane.

The assimilation of bestial sounds showed that these were the languages of peoples who had abandoned the right path and true conduct of their lives. In this sense, another result of the confusion of Babel was the multiplication of letters.

Alemanno was aware that there were also other peoples who considered their languages as superior to all others. He cited Galen, who claimed that Greek was the most pleasing of all languages and the one that most conformed to the laws of reason.

Not daring to contradict him, he attributed this fact to affinities he saw as existing between Greek, Hebrew, Arabic and Assyrian.

For Abulafia, the twenty-two Hebrew letters represented the entire gamut of sounds naturally produced by the human vocal organs. It was the different ways of combining these letters that had given rise to the different languages.

The word zeruf (combination) and the word lashon (language) had the same numerical value (386): it followed that the rules of combination provided the explanation to the formation of each separate language.

Abulafia admitted that the decision to represent these sounds according to certain graphic signs was a matter of convention; it was, however, a convention established between God and the prophets.

Being aware that there existed other theories which claimed that the sounds which expressed ideas or things were conventional (he could have encountered such an Aristotelian and Stoic notion in Jewish authors like Maimonides), Abulafia, nevertheless, invoked a rather modern distinction between conventionality and arbitrariness.

Hebrew was a conventional but not an arbitrary language. Abulafia rejected the claim, maintained, among others, by certain Christian authors, that, left entirely to itself, a child would automatically begin to speak Hebrew: the child would be unaware of the convention.

Yet Hebrew remained the sacred mother tongue, because the names given by Adam, though conventional, were in accordance with nature. In this sense, Hebrew was the proto-language.

Its existence was a precondition for all the rest, “For if such a language did not precede it, there couldn’t have been mutual agreement to call a given object by a different name from what it was previously called, for how would the second person understand the second name if he doesn’t know the original name, in order to be able to agree to the changes.” (Sefer or ha-Sekhel; cf. Idel 1989: 14).

Abulafia lamented that his people in the course of their exile had forgotten their original language. He looked on the kabbalist as a laborer working to rediscover the original matrix of all the seventy languages of the world.

Still, he knew that it would not be until the coming of the Messiah that all the secrets of the kabbala would be definitively revealed. Only then, at the end of time, would all linguistic differences cease, and languages be reabsorbed back into the original sacred tongue.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 32-3.

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April 25, 2016

Eco: The Kabbalistic Pansemioticism

Lucas_van_valckenborch,_torre_di_babele,_1594,_02

Lucas van Valckenborch (1535-97), The Tower of Babel (1594), Musée du Louvre, Paris. 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.

“Our story opened with a reference to an eastern text, the Bible. By the time of the last church Fathers, however, knowledge of the language in which this text was composed had been lost. Thus we were able to begin our story by reading the Bible directly in the Latin of the Vulgate.

The Christian West would begin to come to terms with Hebrew only from the Renaissance onwards. However, in the same centuries in which Hebrew was forgotten by Christian scholars, in the Jewish milieu of Provence and Spain there flowered a current of Hebrew mysticism destined to have a profound influence on Europe’s search for the perfect language: kabbala, a mystical current that regarded creation itself as a linguistic phenomenon.”

Editorial Note

There are many ways to write Kabbala, but Eco in this text writes it that way. I will include tags for “kabbalah” as well, so you can search for affiliated texts, which are numerous. Other ways to write it include “cabala” and “qabbalah” and “qabala,” but in the case of Cabala and similar transliterations like Cabbala the reference is to a completely separate system of thought which Eco addresses below.

The Reading of the Torah

“The kabbala (from qabbalah, which might be rendered as “tradition”) was a technique of interpretation grafted onto the practice of commenting on the Torah, that is, on the books of the Pentateuch, together with the practice of rabbinical commentary known as the Talmud.

In this way, the kabbala appears pre-eminently as a technique of reading and interpreting the sacred text. Yet the actual Torah rolls upon which the kabbalistic scholar labored served him merely as a point of departure: underneath the letters in which the Torah was written, the kabbalist sought to descry the shape of the eternal Torah, created by God before all worlds, and consigned to his angels.

According to some, the primordial Torah was inscribed in black flames upon white fire. At the moment of its creation, it appeared as a series of letters not yet joined up in the form of words.

For this reason, in the Torah rolls there appear neither vowels, nor punctuation, nor accents; for the original Torah was nothing but a disordered heap of letters. Furthermore, had it not been for Adam’s sin, these letters might have been joined differently to form another story.

For the kabbalist, God will abolish the present ordering of these letters, or else will teach us how to read them according to a new disposition, only after the coming of the Messiah.

One school of the kabbalistic tradition, characterized in recent studies as the theosophical kabbala, endeavored to find beneath the letters of the sacred text references to the ten Sefirot, or the ten hypostases of the divinity.

The theosophy of the Sefirot might be compared to the various theories of cosmic chains appearing in the Hermetic, Gnostic and Neo-Platonic traditions; the ten Sefirot were hypostases in the sense of representing either increasing grades of emanation, and, therefore, ten intermediate steps between God and the world, or ten internal aspects of the divinity itself.

In either case, in so far as they represented various ways in which the infinite expands itself, actually or potential, into the finite universe, they also constituted a series of channels or steps through which the soul passes on its journey of return to God.

The kabbalist uses the Torah as a symbolic instrument; beneath the letters of the Torah, beneath the events to which, to the uninstructed, its words seem to allude, there is a text which reveals a mystic and metaphysical reality.

To use this instrument to uncover this reality, however, the text needs to be read not only literally but also in three other senses: allegorical-philosophical, hermeneutic and mystic. This is reminiscent of the four ways of reading scripture in Christian exegetical tradition.

Beyond this point, however, all analogies between the kabbala and Christian exegesis break down, and kabbalism proceeds by its own, radically individual, route.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 25-7.

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Tag: qabbalah

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Humiliter dedicata a amico miles Georgius Hand IV, polyglottis et πολυμαθής.

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