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Eco: Bruno: Ars Combinatoria & Infinite Worlds, 2

1280px-6665_-_Roma_-_Ettore_Ferrari,_Monumento_a_Giordano_Bruno_(1889)_-_Foto_Giovanni_Dall'Orto,_6-Apr-2008

Ettore Ferrari (1845-1929), Giordano Bruno Burned at the Stake, a bas relief on the plinth of the monument to Bruno in Campo de’Fiori square in Rome. This photo by Giovanni Dall’Orto © 2008. The copyright holder of this photo allows anyone to use for any purpose, provided that the copyright holder is properly attributed. Redistribution, derivative work, commercial use, and all other use is permitted.  

 

“Thus this language claimed to be so perfect as to furnish the keys to express relations between things, not only of this world, but of any of the other infinite worlds in their mutual concordance and opposition.

Nevertheless, in its semiotic structure, it was little more than an immense lexicon, conveying vague meanings, with a very simplified syntax. It was a language that could be deciphered only by short-circuiting it, and whose decipherment was the privilege only of the exegete able to dominate all its connections, thanks to the furor of Bruno’s truly heroic style.

In any case, even if his techniques were not so different from those of other authors of arts of memory, Bruno (like Lull, Nicholas of Cusa and Postel, and like the reformist mystics of the seventeenth century–at whose dawn he was to be burnt at the stake) was inspired by a grand utopian vision.

His flaming hieroglyphical rhetoric aimed at producing, through an enlargement of human knowledge, a reform, a renovation, maybe a revolution in the consciousness, customs, and even the political order of Europe. Of this ideal, Bruno was the agent and propagandist, in his wandering from court to European court.

Here, however, our interest in Bruno is limited to seeing how he developed Lullian techniques. Certainly, his own metaphysics of infinite worlds pushed him to emphasize the formal and architectonic aspects of Lull’s endeavor.

One of his mnemonic treatises, De lampade combinatoria lulliana ad infinita propositiones et media inveniendi (1586), opens by mentioning the limitless number of propositions that the Ars is capable of generating, and then says: “The properties of the terms themselves are of scant importance; it is only important that they show an order, a texture, an architecture.” (I, ix).

In the De umbris idearum (1582) Bruno described a set of movable, concentric wheels subdivided into 150 sectors. Each wheel contained 30 letters, made up of the 23 letters of the Latin alphabet, plus 7 letters from the Greek and Hebrew alphabets to which no letter corresponded in Latin (while, for instance, A could also stand for Alpha and Alef).

To each of the single letters there corresponded a specific image, representing for each respective wheel a different series of figures, activities, situations, etc. When the wheels were rotated against each other in the manner of a combination lock, sequences of letters were produced which served to generate complex images. We can see this in Bruno’s own example (De umbris, 163):

Giordano Bruno, De umbris, 163

Reproduced from Umberto Eco, The Search for the Perfect Language, James Fentress, trans., Blackwell: Oxford, 1995, p. 136, from Giordano Bruno, De umbris idearum, 1582, p. 163. 

In what Bruno called the “Prima Praxis,” the second wheel was rotated so as to obtain a combination such as CA (“Apollo in a banquet”). Turning the third wheel, he might obtain CAA (“Apollo enchained in a banquet”). We shall see in a moment why Bruno did not think it necessary to add fourth and fifth wheels as he would do for the “Secunda Praxis,” where they would represent, respectively, adstantia and circumstantias.

In his “Secunda Praxis,” by adding the five vowels to each of the 30 letters of his alphabet, Bruno describes 5 concentric wheels, each having 150 alphabetical pairs, like AA, AE, AI, AO, AU, BA, BE, BO, and so on through the entire alphabet.

These 150 pairs are repeated on each of the 5 wheels. As in the “Prima Praxis,” the significance changes with every wheel. On the first wheel, the initial letter signifies a human agent, on the second, an action, on the third, an insignia, on the fourth, a bystander, on the fifth, a set of circumstances.

By moving the wheels it is possible to obtain images such as “a woman riding on a bull, combing her hair while holding a mirror in her left hand, accompanied by an adolescent carrying a green bird in his hand” (De umbris, 212, 10).

Bruno speaks of images “ad omnes formationes possible, adaptabiles” (De umbris, 80), that is, susceptible of every possible permutation. In truth, it is almost impossible to write the number of sequences that can be generated by permutating 150 elements 5 at a time, especially as inversions are allowed (De umbris, 223).

This distinguishes the art of Bruno, which positively thirsts after infinity, from the art of Lull.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 135-7.

Eco: Bruno: Ars Combinatoria and Infinite Worlds

1280px-Relief_Bruno_Campo_dei_Fiori_n1

Ettore Ferrari (1845-1929), The Trial of Giordano Bruno by the Roman Inquisition, bronze relief, Campo de’Fiori, Rome. This bas relief graces the pedestal of the statue of Bruno at Campo de’Fiori in Rome. The collected works of Giordano Bruno (1548-1600) are in the Bibliotheca Bruniana Electronica at the Warburg Institute, with others at the Esoteric Archives. This photo dated 2006 by Jastrow is in the public domain. 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.    

Giordano Bruno’s cosmological vision presented a world without ends, whose circumference, as Nicholas of Cusa had already argued, was nowhere to be found, and whose center was everywhere, at whatever point the observer chose to contemplate the universe in its infinity and substantial unity.

The panpsychism of Bruno had a Neoplatonic foundation: there was but a single divine breath, one principle of motion pervading the whole of the infinite universe, determining it in its infinite variety of forms.

The master idea of an infinite number of worlds was compounded with the notion that every earthly object can also serve as the Platonic shade of other ideal aspects of the universe. Thus every object exists not only in itself, but as a possible sign, deferral, image, emblem, hieroglyph of something else.

This worked also by contrast: an image can lead us back to the unity of the infinite even through its opposite. As Bruno wrote in his Eroici furori, “To contemplate divine things we need to open our eyes by using figures, similitudes, or any of the other images that the Peripatetics knew under the name of phantasms” (Dialoghi italiani, Florence: Sansei, 1958: 1158).

Where they did not emerge directly from his own inflamed imagination, Bruno chose images found in the Hermetic repertoire. These served as storehouses of revelations because of a naturally symbolic relationship that held between them and reality.

Their function was no longer, as in previous arts of memory, that of merely helping to order information for ease of recall, or this was, at least, by now a minor aspect: their function was rather that of helping to understand. Bruno’s images permitted the mind to discover the essence of things and their relations to each other.

The power of revelation stored inside these images was founded on their origin in far-off Egypt. Our distant progenitors worshipped cats and crocodiles because “a simple divinity found in all things, a fecund nature, a mother watching over the universe, expressed in many different ways and forms, shines through different subjects and takes different names” (Lo spaccio della bestia trionfante, Dialoghi italiani, 780-2).

But these images possess more than the simple capacity to reawaken our dormant imagination: they possess an authentic power to effect magical operations on their own, and functioned, in other words, in exactly the same way as the talismans of Ficino.

It is possible, of course, to take many of Bruno’s magical claims in a metaphorical sense, as if he was merely describing, according to the sensibility of his age, intellectual operations. It is also possible to infer that these images had the power to pull Bruno, after prolonged concentration, into a state of mystic ecstasy (cf. Yates 1964: 296).

Still, it is difficult to ignore the fact that some of Bruno’s strongest claims about the theurgic potential of seals appeared in a text that bore the significant title of De Magia:

“nor even are all writings of the same utility as these characters which, by their very configuration, seem to indicated things themselves. For example, there are signs that are mutually inclined to one another, that regard each other and embrace one another; these constrain us to love.

Then there are the opposite signs, signs which repel each other so violently that we are induced to hatred and to separation, becoming so hardened, incomplete, and broken as to produce in us ruin. There are knots which bind, and there are separated characters which release. [ . . . ]

These signs do not have a fixed and determined form. Anyone who, obeying his own furor, or the dictates of his soul, naturally creates his own images, be these of things desired or things to hold in contempt, cannot help but represent these images to himself and to his spirit as if the imagined things were really present.

Thus he experiences his own images with a power that he would not feel were he to represent these things to himself in the form of words, either in elegant oration, or in writing.

Such were the well-defined letters of the ancient Egyptians, which they called hieroglyphs or sacred characters. [ . . . ] by which they were able to enter into colloquies with the gods and to accomplish remarkable feats with them. [ . . . ]

And so, just as, where there lacks a common tongue, men of one race are unable to have colloquies with those of another, but must resort instead to gestures, so relations of any sort between ourselves and certain powers would be impossible were we to lack the medium of definite signs, seals, figures, characters, gestures, and other ceremonies.”

(Opera latine conscripta, Naples-Florence, 1879-1891, vol. III: 39-45).

Concerning the specific iconological material that Bruno employs, we find figures deriving directly from the Hermetic tradition, such as the Thirty-six Decans of the Zodiac, others drawn from mythology, necromantic diagrams that recall Agrippa or John Dee, Lullian suggestions, animals, plants and allegorical figures deriving from the repertoire of emblems and devices.

This is a repertoire with an extraordinary importance in the history of iconology, where the ways in which a certain seal, for example, refers back to a specific idea are largely governed by rhetorical criteria: phonetic similarities (a horse, equus, can correspond to an honest, aequus, man); the concrete for the abstract (a Roman soldier for Rome); antecedent for the consequent; accident for subject (or vice versa); and so on.

Sometimes the analogy  is based upon the similarity of the initial syllable (asinus for asyllum); and certainly Bruno did not know that this procedure, as we shall see in chapter 7, was followed by the Egyptians themselves when using their hieroglyphs.

At other times the relations might be based on kabbalistic techniques such as anagrams or paronomasias (like palatio standing for Latio: cf. Vasoli 1958: 285-6).”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 132-5.

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