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Tag: Porphyrian Tree

Eco: John Wilkins

Wilkins_An_Essay_towards_a_real

John Wilkins (1614-1672), An Essay Towards a Real Character and a Philosophical Language, London, John Martin, 1668. 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. 

“Already in Mercury, a book principally devoted to secret writing, published in 1641, Wilkins had begun to design a project for universal language. It was not until 1668, however, that he was ready to unveil his Essay towards a Real Character, and a Philosophical Language–the most complete project for a universal and artificial philosophical language that the seventeenth century was ever to produce.

Since “the variety of Letters is an appendix to the Curse of Babel” (p. 13), after a dutiful bow in the direction of the Hebrew language and a sketch of the evolution of languages from Babel onwards (including an examination of the Celto-Scythian hypothesis that we considered in ch. 5), and after an acknowledgment of his precursors and his collaborators in the compilation of classifications and of the final dictionary, Wilkins turned to his major task–the construction of a language founded on real characters “legible by any Nation in their own Tongue” (p. 13).

Wilkins observed that most earlier projects derived their list of characters from the dictionary of one particular language rather than drawing directly on the nature of things, and from that stock of notions held in common by all humanity.

Wilkins‘ approach required, as a preliminary step, a vast review of all knowledge to establish what these notions held in common by all rational beings really were.

Wilkins never considered that these fundamental notions might be Platonic ideas like Lull’s dignities. His list was rather based upon empirical criteria and he sought those notions to which all rational beings might either attest or, reasonably, be expected to attest: thus, if everybody agrees on the idea of a God, everybody would likewise agree on the botanical classification supplied to him by his colleague John Ray.

In reality, the image of the universe that Wilkins proposed was the one designed by the Oxonian culture of his time. Wilkins never seriously wondered whether other cultures might have organized the world after a different fashion, even though his universal language was designed for the whole of humanity.

The Tables and the Grammar

In appearance the classification procedure chosen by Wilkins was akin to the method of the Porphyrian Tree of Aristotelian tradition. Wilkins constructed a table of 40 major genera (see figure 12.1) subdivided into 251 characteristic differences.

Umberto Eco, The Search for the Perfect Language, Figure 12.1, p. 240

Umberto Eco, The Search for the Perfect Language, Figure 12.1, p. 240. 

Umberto Eco, The Search for the Perfect Language, Figure 12.1-2, p. 241

Umberto Eco, The Search for the Perfect Language, Figure 12.1-2, p. 241.

From these he derived 2,030 species, which appear in pairs. Figure 12.2 provides a simplified example of the procedure: starting from the major genus of Beasts, after having divided them into viviparous and oviparous, and after having subdivided the viviparous ones into whole footed, cloven footed and clawed, Wilkins arrives at the species Dog / Wolf.

Umberto Eco, The Search for the Perfect Language, Figure 12.2, p. 242

Umberto Eco, The Search for the Perfect Language, Figure 12.2, p. 242.

I might add parenthetically that Wilkins‘ tables occupy a full 270 pages of his ponderous folio, and hope that the reader will excuse the summary nature of the examples which follow.

After presenting the tables, which supposedly design the whole knowable universe, Wilkins turned his attention to his natural (or philosophical) grammar in order to establish morphemes and the markers for derived terms, which can permit the generation, from the primitives, of declensions, conjugations, suffixes and so on.

Such a simplified grammatical machinery should thus allow the speaker to articulate discourses, as well as to produce the periphrases through which terms from a natural language might be defined entirely through the primitives of the artificial one.

Having reached this stage, Wilkins was able to present his language of real characters. In fact, it splits into two different languages: (1) the first is an ideogrammatic form of writing, vaguely Chinese in aspect, destined to appear in print but never to be pronounced; (2) the second is expressed by alphabetic characters and is intended to be pronounced.

It is possible to speak properly of two separate languages because, even though the pronounceable characters were constructed according to the same compositional principle as the ideograms, and obey the same syntax, they are so different that they need to be learned apart.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 238-42.

Eco: Primitives and Organization of Content, 2

Ramon Llull, Arbor naturalis et logicalis, Liber de logica nova, Valencia, Alonso de Proaza, 1512

Ramon Llull (1232-1315), Arbor naturalis et logicalis, Liber de logica nova, Valencia, 1512. A Porphyrian Tree of logical relations, original c. 1305, logica nova edition 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. 

“Nevertheless, such a dictionary-like structure would not allow us to define the difference between a cat and a tiger, or even between a canine and a feline animal. To do this, it is necessary to insert differences into the classification.

Aristotle, in his studies of definition, said that, in order to define the essence of a thing, we should select such attributes which “although each of them has a wider extension than the subject, all together they have not” (Posterior Analytics II, 96a, 35).

Such a structured representation was known in the Middle Ages as Porphyry’s Tree (because it was derived from the Isagoge of the Neo-Platonic philosopher Porphyry, living in the second-third century AD), and was still taken as a definitional model by the English searchers for a real character.

In a Porphyrian Tree each genus is divided by two differences which constitute a pair of opposites. Each genus, with the addition of one of its divisive differences, produces an underlying species, which is so defined by its genus and its constitutive difference.

Umberto Eco, The Search for the Perfect Language, Figure 10.2, p. 225

Umberto Eco, The Search for the Perfect Language, Figure 10.2, p. 225. 

In figure 10.2, there is an example of how a Porphyrian Tree establishes the difference between human beings and gods (understood as natural forces) and between human beings and beasts.

The terms in upper-case refer to genera and species while those in lower-case refer to differences, that is, to particular accidents which occur only in a given species. We see that the diagram defines a human being as a “rational and mortal animal,” which, in classical terms, is considered a satisfactory definition because there cannot be a rational and mortal animal which is not a human being, and only human beings are so.

Unfortunately this diagram does not tell us anything about the differences between dogs and cats, or horses and wolves, or cats and tigers. In order to obtain new definitions, new differences need to be inserted into the diagram.

Besides this, we can see that, although differences occur in one species, in this tree there are differences, such as “mortal/immortal,” which occur in two different species.

This makes it difficult to know whether or not the same differences will be reproduced at some further point in the tree when it becomes necessary to specify the difference not just between dogs and cats, but also between violets and roses, diamonds and sapphires, and angels and demons.

Even taxonomy as practiced by modern zoology defines through dichotomies. Dogs are distinguished from wolves, and cats from tigers, on the basis of a dichotomy by taxonomic entities known as taxa (figure 10.3).

Umberto Eco, The Search for the Perfect Language, Figure 10.3, p. 226

Umberto Eco, The Search for the Perfect Language, Figure 10.3, p. 226. 

Yet modern zoologists are well aware that a system of classification is not the same as a system of definitions.

Classification does not capture the essence of the thing itself; it simply embeds things in a system of increasingly inclusive classes, where the lower nodes are linked by entailment to the upper ones: if something is a Canis familiaris, it cannot but be, by entailment, a Canis, a canid and a fissiped.

But Canidae and Fissipeda are taken as primitives only in the framework of the classification and are not considered as semantic primitives.

Zoologists know that, within their classification, at the node Canidae they must presuppose a set of properties common to the whole family, and that at the node Carnivora there is a set of properties common to the whole order: in the same vein, “mammal” is not a semantic primitive but a technical name which stands for (more or less) “viviparous animal which nourishes its young by the secretion of milk through its mammary glands.”

The name of a substance can be either designative (thus indicating the genus to which that substance belongs) or diagnostic, that is, transparent and self-definatory.

In Species plantarum by Linnaeus (1753), given the two species, Arundo calamogrostis and Arundo arenaria, their designative names show that they belong to the same genus and establish their difference; however, their properties are then made clearer by a diagnostic description which specifies that the Arundo calamogrostis is “calycibus unifloris, cumulo ramoso,” while the Arundo arenaria is “calycibus unifloris, foliis involutiis, mucronato pungentibus” (see Slaughter 1982: 80).

However, the terms used for this description are no longer pseudo-primitives–like those of the metalanguage of taxas; they are terms of the common natural language used for diagnostic purposes.

By contrast, for the authors of a priori languages, each expression had to express all the properties of the designated thing. We shall see how such a difficulty will affect all the projects discussed in the following chapters.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 225-7.

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