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Tag: 1609

Eco: Polygraphies


John Dee (1527-1609), an excerpt from Steganographiae, aka Peniarth MS 423D, astrological texts in Latin, 1591. Steganographiae was originally composed by Johannes Trithemius in the 1490’s. Infamous as a work of cryptography, this excerpt was copied by hand by Dr. Dee. Peniarth MS 423D is held by the National Library of Wales. This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. All rights are waived worldwide under copyright laws. This file can be copied, modified, and distributed with no permissions required.  

“Steganographies were used to cipher messages in order to guarantee secrecy and security.  However, even though disregarding many terminological details (or differences) used today by the cryptographers, one must distinguish between the activity of coding and decoding messages when one knows the key, or code, and cryptoanalysis (sic); that is, the art of discovering an unknown key in order to decipher an otherwise incomprehensible message.

Both activities were strictly linked from the very beginning of cryptography: if a good steganography could decode a ciphered message, it ought to allow its user to understand an unknown language as well.

When Trithemius wrote his Polygraphiae, which was published in 1518, before his Steganographia, and did not earn the sinister fame of the latter work, he was well aware that, by his system, a person ignorant of Latin might, in a short time, learn to write in that “secret” language (1518: biiii) (sic).

Speaking of TrithemiusPolygraphia, Mersenne said (Quaestiones celeberrimae in Genesim, 1623: 471) that its “third book contains an art by which even an uneducated man who knows nothing more than his mother tongue can learn to read and write Latin in two hours.”

Steganography thus appeared both as an instrument to encipher messages conceived in a known language and as the key to deciphering unknown languages.

In order to cipher a message one must substitute the letters of a plain message (written in a language known by both the sender and the addressee) with other letters prescribed by a key or code (equally known by sender and addressee).

To decipher a message encoded according to an unknown key, it is frequently sufficient to detect which letter of the encoded message recurs most frequently, and it is easy to infer that this represents the letter occurs most frequently in a given known language.

Usually the decoder tries various hypotheses, checking upon different languages, and at a certain point finds the right solution.

The decipherment is made, however, more difficult if the encoder uses a new key for every new word of the message. A typical procedure of this kind was the following. Both the encoder and the decoder refer to a table like this:

Umberto Eco, Table, The Search for the Perfect Language, Polygraphies, Trithemius, p. 195

Umberto Eco, The Search for the Perfect Language, p. 195.

Now, let us suppose that the key is the Latin word CEDO. The first word of the message is encoded according to the third line of the table (beginning with C), so that A becomes C, B becomes D and so on.

The second words is encoded according to the fifth line (beginning with E), so that A becomes E and so on. The third word is encoded according to the fourth line, the fourth according to the fifteenth one . . . At the fifth word one starts the process all over again.

Naturally the decoder (who knows the key) proceeds in the opposite way.

In order to decipher without knowing the key, if the table is that simple and obvious, there is no problem. But even in cases of more complicated tables the decipherer can try with all possible tables (for instance, with alphabets in reverse order, with alternate letters, such as ACEG), and it is usually only a matter of time before even the most complex of codes are broken.

Observing this, Heinrich Hiller, in his Mysterium artiis steganographicae novissimum (1682), proposed to teach a method of learning to decipher messages not only in code, but also in Latin, German, Italian and French, simply by observing the incidence of each letter and diphthong in each language.

In 1685, John Falconer wrote a Cryptomenysis patefacta: or the Art of Secret Information Disclosed Without a Key, where he noted that, once someone has understood the rules of decipherment in a given language, it is possible to do the same with all the others (A7v).”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 194-6.

Eco: Kircher’s Chinese


Athanasius Kircher (1602-80), schema of the Egyptian cosmos, Oedipus Aegyptiacus, tom. 2, vol. 1, p. 418. 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 an earlier chapter, we saw the suggestion made that Chinese might be the language of Adam. Kircher lived in a period of exciting discoveries in the Orient. The Spanish, Portuguese, English, Dutch, and, later, French conquered the route to the Indies, the Sunda seas, the way to China and to Japan.

But even more than by merchants, these pathways were traversed by Jesuits, following in the footsteps of Matteo Ricci who, a century before, had brought European culture to the Chinese, and returned to give Europe a deeper understanding of China.

With the publication of the Historia de las cosas más notables, ritos y costumbres del gran reino de la China by Juan Gonzales de Mendoza in 1585, there appeared in print in Europe characters in Chinese script.

In 1615 there finally appeared Ricci’s De christiana expeditione apud Sinas ab Societate Ieus suscepta, in which he explained that in Chinese, there existed as many characters as there were words. He insisted as well on the international character of the Chinese script, which, he wrote, was readily understood not only by the Chinese, but also by the Japanese, the Koreans, the Cochin-Chinese and by the Formosans.

We shall see that this was a discovery that would initiate the search for a real character from Bacon onwards. Already in 1627, in France, Jean Douet published a Proposition présentée au roy, d’une escriture universelle, admirable pour ses effects, très-utile à tous les hommes de la terre, in which Chinese was offered as a model for an international language.

At the same time, there had begun to appear information about the pictographic writings of Amerindians. Attempts at interpretation had yielded contradictory results; and this was discussed in works such as the Historia natural y moral de las Indias by José de Acosta in 1570, and the Relaciòn de las cosas de Yucatàn by Diego de Landa, written in the sixteenth century, although appearing only in the eighteenth; in 1609 there also appeared the Comentarios reales que tratan del origine de los Yncas by Garcilaso de la Vega.

An observation often repeated by these early observers was that contact with the indigenous natives was at first carried out by means of gestures. This awoke an interest in gesture’s potential as a universal language.

The universality of gestures and the universality of images turned out to be related themes (the first treatise on this subject was Giovanni Bonifacio‘s L’arte de’ cenni of 1616; on this topic in general, see Knox 1990).

The reports of his Jesuit brothers gave Kircher an incomparable source of ethnographic and linguistic information (see Simone 1990 on “Jesuit or Vatican linguistics”).

In his Oedipus, Kircher was especially interested in the diffusion of Chinese. He took up the same arguments, in a more elliptical form, in his China monumentis quà sacris quà profanis, nec non variis naturae et artis spectaculis, aliarum rerum memorabilis argumentis illustrata of 1667.

This latter work was more in the nature of a treatise in ethnography and cultural anthropology which, with its splendid and sometimes documented illustrations, collected all the reports that arrived from the missionaries of the Company, and described every aspect of Chinese life, culture and nature.

Only the sixth and last part of the work was dedicated to the alphabet.

Kircher presumed that the mysteries of hieroglyphic writing had been introduced to the Chinese by Noah’s son Ham. In the Arca Noe of 1675 (pp. 210ff) he identified Ham with Zoroaster, the inventor of magic.

But, unlike Egyptian hieroglyphs, Chinese characters were not for Kircher a puzzle. Chinese was a writing system still in use, and the key to its understanding had already been revealed. How could such a comprehensible language be sacred and a vehicle for occult mysteries?

Kircher realized that Chinese characters were originally iconic and only later had grown extremely stylized over time, so as to lose their original similarity with things. He reconstructed after  his own fancy what he took to be the designs of fish and birds that had formed the starting points for current ideograms.

Kircher also realized that these ideograms did not express either letters or syllables, but referred to concepts. He noted that in order to translate our dictionary into their idiom we would need as many different characters as we had words (Oedipus, III, 11).

This led him to reflect on the amount of memory that was necessary for a Chinese scholar to know and remember all these characters.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 158-60.

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.

Eco: Conventionalism, Epicureanism and Polygenesis


Giuseppe Giusto Scaligero, or Joseph Justus Scaliger (1540-1609), this illustration is from the title page of Marcus Manilus, Astronomicon a Ios. Scaligero ex vetusto codice Gemblacensi infinitis mendis repurgatum. Eiusdem Iosephi Scaligeri notae etc. Leiden. Christophorus Raphelengius for Joannes Commelin, 1599-1600, with a handwritten dedication from Scaliger to the mathematician Henri de Monantheuil, courtesy of the Leiden University Library and the Scaliger Institute. This narrative courtesy of the Warburg Institute. 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.

“By now, however, time was running out for the theories of Kircher, Guichard and Duret. Already in the Renaissance, Hebrew’s status as the original and sacred language had begun to be questioned.

By the seventeenth century, a new and complex set of arguments has evolved. We might, emblematically, place these arguments under the sign of Genesis 10. In these, attention moved away from the problem of primordial language to that of matrices linguae, or mother tongues–this was an expression first coined by Giuseppe Giusto Scaligero (Diatribe de europaeorum linguis, 1599).

Scaligero individuated eleven language families, seven major and four minor. Within each family, all languages were related; between the language families, however, kinship was impossible to trace.

The Bible, it was noted, had given no explicit information about the character of the primordial language. There were many who could thus maintain that the division of tongues had originated not at the foot of the shattered tower, but well before.

The notion of confusio could be interpreted as a natural process. Scholars set about trying to understand this process by uncovering the grammatical structures common to all languages: “It was no longer a question of “reduction,” but of a classification aimed at revealing a common system latent within all languages, while still respecting their individual differences” (Demonet 1992: 341, and II, 5, passim).

In his Histoire critique du Vieux Testament (1678), Richard Simon, considered one of the founders of modern biblical criticism, discarded the hypothesis of the divine origin of Hebrew, citing the ironic remarks of Gregory of Nyssa.

Language, he wrote, was a human invention; since human reason differs in different peoples, so languages must differ as well. God willed that different peoples speak different languages in order that “each might explain themselves in their own way.”

Meric Casaubon (De quattor linguis commentatio, 1650) accepted the idea of Grotius that–in so far as it had ever existed–the primordial language had long since disappeared.

Even if the words spoken by Adam had been inspired directly by God, humanity had since developed its languages autonomously. The Hebrew of the Bible was just one of the languages that arose after the Flood.

Leibniz also insisted that the historic language of Adam was irredeemably lost, and that, despite our best efforts, “nobis ignota est.” In so far as it had ever existed, it had either totally disappeared, or else survived only as relics (undated fragment in Gensini 1990: 197).

In this climate, the myth of a language that followed the contours of the world came to be rearticulated in the light of the principle of the arbitrariness of the sign. This was a principle that, in any case, philosophical thought had never entirely abandoned, as it formed part of the Aristotelian legacy.

In precisely this period, Spinoza, from a fundamentally nominalist point of view, asked how a general term such as man could possibly express man’s true nature, when different individuals formed their ideas in different ways:

“for example, those who are accustomed to contemplate with admiration the height of men will, on hearing the name man, think of an animal with an erect posture; those, instead, who are in the habit of contemplating some other feature, will form another of the common images of man–man as a laughing animal, as a biped, as featherless, as rational. Thus every individual will form images of universals according to the dispositions of their own bodies.” (Ethica, 1677: proposition XL, scolion I).

Implicitly challenging the idea that Hebrew was the language whose words corresponded to the nature of things, Locke considered that words used by human beings were signs of their ideas, “not by any natural connexion, that there is between particular articulated Sounds and certain Ideas, for then there would be but one Language amongst all Men; but by voluntary Imposition.” (An Essay concerning Human Understanding, 1690: III, 2, 1).

As soon as ideas lost their quality as innate, Platonic entities, becoming nominal ideas instead, language itself lost its aura of sacrality, turning into a mere instrument for interaction–a human construct.

In Leviathan (1651: I, 4, “Of Speech”), Hobbes admitted that the first author of speech could only have been God himself, and that he had taught Adam what to name the animals. Yet, immediately thereafter, Hobbes abandons the scriptural account to picture Adam as striking out on his own.

Hobbes argued that Adam continued freely to add new names “as the experience and use of the creatures should give him occasion.” In other words, Hobbes left Adam to confront his own experiences and his own needs; and it was from these needs (necessity being, as we know, the mother of all invention) that the languages after Babel were born.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 85-8.

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