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Tag: Gottfried Wilhelm Leibniz

August 4, 2016

Eco: Some Ghosts of the Perfect Language

Gregor Reisch, Margarita philosophica, Pearl of Wisdom, 1503

Gregor Reisch (1467-1525), title page of Margarita philosophica, or the Pearl of Wisdom, Freiburg, 1503. Multiple copies of this work are preserved. 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 often paused to draw attention to side-effects. Without forced comparisons and without exaggerated claims, it seems permissible at this point to ask informed readers to reconsider various chapters of the history of philosophy, especially those concerning the advent of contemporary logic and linguistic analysis.

Would these developments have been possible without the secular debate on the nature of the perfect language, and, in particular, the various projects for philosophical a priori languages?

In 1854, George Boole published his Investigations of the Laws of Thought. He announced his intention to discover the fundamental laws governing the mental operations of the process of reasoning. He observed that without presupposing these laws, we could not explain why the innumerable languages spread around the globe have maintained over the course of centuries so many characteristics in common (II, 1).

Frege began his Begriffsschrift (on ideography, 1879) with a reference to Leibniz’s characteristica. In The Philosophy of Logical Atomism (1918-9), Russell noted that in a perfectly logical language, the relation of a word to its meaning would always be one to one (excepting words used as connectives).

When he later wrote Principia mathematica with Whitehead, he noted that, although their language possessed a syntax, it could, with the addition of a vocabulary, become a perfect language (even though he also admitted that is such a language were to be constructed it would be intolerably prolix).

For his part, Wittgenstein, renewing Bacon’s complaint concerning the ambiguity of natural languages, aspired to create a language whose signs were univocal (Tractatus logico-philosophicus, 1921-2, 3.325ff) and whose propositions mirrored the logical structure of reality itself (4.121).

Carnap proposed constructing a logical system of objects and concepts such that all concepts might be derived from a single nucleus of prime ideas (Der logische Aufbau der Welt, 1922-5). In fact, the entire logical positivist movement was heir to the Baconian polemic against the vagaries of natural languages productive of nothing but metaphysical illusions and false problems (cf. Recanati 1979).

These philosophers all hoped to construct a scientific language, perfect within its chosen range of competence, a language that would be universal as well; none, however, claimed that such a language would ever replace natural language.

The dream had changed, or, perhaps, its limitations had finally, reluctantly been accepted. From its search for the lost language of Adam, philosophy had by now learned to take only what it could get.

In the course of centuries through which our particular story has run, another story began to disentangle itself as well–the search for a general or universal grammar. I said in the introduction that this was not a story that I intended to tell here.

I shall not tell it because the search for a single corpus of rules underneath and common to all natural languages entailed neither the invention of a new language nor a return to a lost mother tongue. None the less, the search for what is constant in all languages can be undertaken in two ways.

The first way is to follow empirical and comparative methods; this requires compiling information on every language that exists–or existed (cf. Greenberg 1963).

The second way can be traced back to the time in which Dante (influenced or not by the doctrines of the Modists) attributed the gift of a forma locutionis to Adam. On this line of thought, scholars have more often tried to deduce the universal laws of all languages, and of human thought, from the model of the only language they knew–scholastic Latin–and in 1587 Francisco Sanchez Brocense was still doing so with his Minerva, seu causis linguae latinae.

The novelty of the Grammaire générale et raisonnée of Port Royal (1660) was simply the decision of taking as a model a modern language–French.

Choosing this way requires never being brushed by the scruple that a given language represents only a given way of thinking and of viewing the world, not universal thought itself.

It requires regarding what is called the “genius” of a language as affecting only the surface structures rather than the deep structure, allegedly the same for all languages.

Only in this way will be be possible to regard as universal, because corresponding to the only logic possible, the structures discovered in the language in which one is used to think.

Nor does it necessarily alter the problem to concede that–certainly–the various languages do exhibit differences at their surface level, are often corrupted through usage or agitated by their own genius, but still, if universal laws exist, the light of natural reason will uncover them because, as Beauzée wrote in his article on grammar in the Encyclopédie, “la parole est une sorte de tableau dont la pensée est l’original.”

Such an argument would be acceptable, but in order to uncover these laws one needs to represent them through a metalanguage applicable to every other language in the world. Now, if one chooses as metalanguage one’s own object language, the argument becomes circular.

In fact, as Simone has put it (1969: XXXIII), the aim of the Port Royal grammarians…

“…is therefore, in spite of the appearances of methodological rigor, prescriptive and evaluative, in so far as it is rationalist. Their scope was not to interpret, in the most adequate and coherent way possible, the usages permitted by the various languages.

If it were so, a linguistic theory should coincide with whole of the possible usages of a given tongue, and should take into account even those that native speakers consider as “wrong.”

Instead, their aim was to emend this variety of uses in order to make them all conform to the dictates of Reason.”

What makes the search for a universal grammar of interest in our story is, as Canto has noted (1979), that in order to be caught within the vicious circle, it is only necessary to make one simple assumption: the perfect language exists, and it is identical to one’s own tongue.

Once this assumption is made, the choice of the metalanguage follows: Port Royal anticipates de Rivarol.

This is a problem that remains for all attempts–contemporary ones included–to demonstrate that syntactic or semantic universals exist by deducing them from a given natural language, used simultaneously both as a metalanguage and as object language.

It is not my argument here that such a project is desperate: I merely suggest that it represents but another example of the quest for a philosophical a priori language in which, once again, a philosophical ideal of grammar presides over the study of a natural language.

Thus (as Cosenza has shown, 1993) those modern day branches of philosophy and psychology which deliberately appeal to a language of thought are also descendants of those older projects.

Such a “mentalese” would supposedly reflect the structure of mind, would be purely formal and syntactical calculus (not unlike Leibniz’s blind thought), would use non-ambiguous symbols and would be based upon innate primitives, common to all species.

As happened with Wilkins, it would be deduced according to a “folk psychology,” naturally within the framework of a given historical culture.

There are perhaps more remote descendants of the a priori projects, which have sought to found a language of mind not upon Platonic abstractions but upon the neuro-physiological structures of the brain.

Here the language of mind is the language of the brain; the software is founded upon the hardware. This is a new departure; since the “ancestors” of our story never dreamed of venturing this far, and many of them were not even certain that the res cogitans was located in the brain rather than the heart or the liver (even though an attractive wood cut showing the localization of the faculty of language in the brain–as well as those for imagination, estimation and memory–already appears in the fifteenth century in Gregor Reysch’s Margarita philosophica.

Differences are sometimes more important than identities or analogies; still, it would hardly be a waste of time if sometimes even the most advanced students in the cognitive sciences were to pay a visit to their ancestors.

It is frequently claimed in American philosophy departments that, in order to be a philosopher, it is not necessary to revisit the history of philosophy. It is like the claim that one can become a painter without having seen a single work of Raphael, or a writer without having ever read the classics.

Such things are theoretically possible; but the “primitive” artist, condemned to an ignorance of the past, is always recognizable as such and rightly labelled as a naïf. It is only when we reconsider past projects revealed as utopian or as failures that we are apprised of the dangers and possibilities for failure for our allegedly new projects.

The study of the deeds of our ancestors is thus more than an antiquarian pastime, it is an immunological precaution.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 312-6.

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July 27, 2016

Eco: The Last Flowering of Philosophic Languages

Anne-Pierre-Jacques De Vismes, Pasilogie, ou de la musique, consideree comme langue universelle, 1806

Anne-Pierre-Jacques De Vismes (1745-1819), Pasilogie, ou de la musique, considérée comme langue universelle, Paris, 1806. 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. 

“Nor was even this the end of attempts at creating a philosophic language. In 1772 there appeared the project of Georg Kalmar, Praecepta grammatica atque specimina linguae philosophicae sive universalis, ad omne vitae genus adcomodatae, which occasioned the most significant discussion on our topic written in Italian.

In 1774, the Italian-Swiss Father Francesco Soave published his Riflessioni intorno alla costituzione di una lingua universale. Soave, who had done much to spread the sensationalist doctrine to Italy, advanced a criticism of the a priori languages that anticipated those made by the Idéologues (on Soave see Gensini 1984; Nicoletti 1989; Pellerey 1992a).

Displaying a solid understanding of the projects from Descartes to Wilkins and from Kircher to Leibniz, on the one hand Soave advanced the traditional reservation that it was impossible to elaborate a set of characters sufficient to represent all fundamental concepts; on the other hand, he remarked that Kalmar, having reduced these concepts to 400, was obliged to give different meanings to the same character, according to the context.

Either one follows the Chinese model, without succeeding in limiting the characters, or one is unable to avoid equivocations.

Unfortunately, Soave did not resist the temptation of designing a project of his own, though outlining only its basic principles. His system of classification seems to have been based on Wilkins; as usual he sought to rationalize and simplify his grammar; at the same time, he sought to augment its expressive potential by adding marks for new  morphological categories such as dual and the neuter.

Soave took more care over his grammar than over his lexicon, but was mainly interested in the literary use of language: from this derives his radical skepticism about any universal language; what form of literary commerce, he wondered, could we possibly have with the Tartars, the Abyssinians or the Hurons?

In the early years of the next century, Soave’s discussion influenced the thinking of Giacomo Leopardi, who had become an exceptionally astute student of the Idéologues.

In his Zibaldone, Leopardi treated the question of universal languages at some length, as well as discussing the debate between rationalists and sensationalists in recent French philosophy (see Gensini 1984; Pellerey 1992a).

Leopardi was clearly irritated by the algebraic signs that abounded in the a priori languages, all of which he considered as incapable of expressing the subtle connotations of natural languages:

“A strictly universal language, whatever it may be, will certainly, by necessity and by its natural bent, be both the most enslaved, impoverished, timid, monotonous, uniform, arid, and ugly language ever.

It will be incapable of beauty of any type, totally uncongenial to imagination [ . . . ] the most inanimate, bloodless, and dead whatsoever, a mere skeleton, a ghost of a language [ . . . ] it would lack life even if it were written by all and universally understood; indeed it will be deader than the deadest languages which are no longer either spoken or written.” (23 August 1823, in G. Leopardi, Tutte le opere, Sansoni: Florence 1969: II, 814).

Despite these and similar strictures, the ardor of the apostles of philosophic a priori languages was still far from quenched.

At the beginning of the nineteenth century, Anne-Pierre-Jacques de Vismes (Pasilogie, ou de la musique considérée come langue universelle, 1806) presented a language that was supposed to be a copy of the language of the angels, whose sounds derived from the affections of the soul.

Vismes argued that when the Latin translation of Genesis 11:1-2 states that “erat terra labii unius” (a passage to which we usually give the sense that “all the world was of one language”), it used the word labium (lip) rather than lingua (tongue) because people first communicated with each other by emitting sounds through their lips without articulating them with their tongue.

Music was not a human invention (pp. 1-20), and this is demonstrated by the fact that animals can understand music more easily than verbal speech: horses are naturally roused by the sound of trumpets as dogs are by whistles. What is more, when presented with a musical score, people of different nations all play it the same way.

Vismes presents enharmonic scales of 21 notes, one for each letter of the alphabet. He did this by ignoring the modern convention of equal temperament, and treating the sharp of one note as distinct from the flat of the note above.

Since Vismes was designing a polygraphy rather than a spoken language, it was enough that the distinctions might be exactly represented on a musical stave.

Inspired, perhaps, indirectly by Mersenne, Vismes went on to demonstrate that if one were to combine his 21 sounds into doublets, triplets, quadruplets, etc., one would quickly arrive at more syntagms than are contained in any natural language, and that “if it were necessary to write down all the combinations that can be generated by the seven enharmonic scales, combined with each other, it would take almost all of eternity before one could hope to come to an end.” (p. 78).

As for the concrete possibility of replacing verbal sounds by musical notes, Vismes devotes only the last six pages of his book to such a topic–not a great deal.

It never seems to have crossed Visme’s mind that, in taking a French text and substituting tones for its letters, all he was doing was transcribing a French text, without making it comprehensible to speakers of other languages.

Vismes seems to conceive of a universe that speaks exclusively in French, so much so that he even notes that he will exclude letters like K, Z and X because “they are hardly ever used in languages” (p. 106).”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 302-4.

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July 27, 2016

Eco:Eighteenth Century Projects

Telemaque_1st_page

François Fénelon (1651-1715), Telemachus, or the first page of the first book of Les Aventures de Télémaque, first published anonymously in 1699, and translated into English in London in 1715. 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.  

“Even under the weight of the Enlightenment critique, the dream of the perfect language refused to die. In 1720 there appeared a “Dialogue sur la facilité qu’il y auroit d’établir un Caractère Universel qui seroit commun à toutes les Langues de l’Europe, et intelligible à différens Peuples, qui le liroient chacun dans la propre Langue” (in the Journal littéraire de l’anné 1720).

As the title itself suggests, the project was for a polygraphy, in the sense we saw in Kircher, and, at most, it is worthy of note in that its attempt to include a contracted grammar points the way to future developments.

In any case, the proposal is distinguished by including an appeal, by the anonymous author, for a commission which would develop the project and for a prince who would impose its adoption.

Such an appeal “cannot help but remind us of a possibility, which must have seemed evident in the year 1720, that a phase of stability for Europe was about to open, and that, consequently, sovereigns might be expected to be more willing to patronize linguistic and intellectual experiments” (cf. Pellerey 1992a: 11).

In his article on “Langue” in the Encyclopédie, even a rationalist like Beauzée had to concede that, since it would be difficult to come to an agreement over a new language, and an international language still seemed to him to be necessary, Latin had to remain the most reasonable candidate.

For their part, the empiricists among the encyclopedists felt duty-bound to consider the idea of a universal language, too. As a sort of coda to the article on “Langue,” Joachim Faiguet wrote four pages on a project for a langue nouvelle. Couturat and Leau (1903: 237) consider this as representing a first attempt at overcoming the problems inherent in the a priori languages and at sketching out an example of the a posteriori languages we will be discussing in the next chapter.

As his model, Faiguet took a natural language–French. He formed his lexicon on French roots, and concentrated on the delineation of a simplified and regularized grammar, or a “laconic” grammar.

Following the authors in the previous century, Faiguet eliminated those grammatical categories that seemed to him redundant: he suppressed the articles, substituted flexions with prepositions (bi for the genitive, bu for the dative, and de and po for the ablative), transformed adjectives (indeclinable) into adverbial forms, standardized all plurals (always expressed by an s); he simplified verb conjugations, making them invariable in number and person, adding endings that designated tenses and modes (I give, you give, he gives became Jo dona, To dona, Lo dona); the subjunctive was formed by adding an r to the stem, the passive by the indicative plus sas (meaning to be: thus to be given became sas dona).

Faiguet’s language appears as wholly regular and without exceptions; every letter or syllable used as endings had a precise and unique grammatical significance. Still, it is parasitic on French in a double sense: not only is it a “laconicized” French at the expression-level; it is French that supplies the content-level as well. Thus Faiguet’s was little less than a sort of easy-to-manage Morse code (Bernadelli 1992).

The most important projects for a priori languages in the eighteenth century were those of Jean Delormel (Projet d’une langue universelle, 1795), of Zalkind Hourwitz (Polygraphie, ou l’art de correspondre à l’aide d’un dictionaire dans toutes les langues, même celles dont on ne possède pas seulement les lettres alphabétiques, 1800), and of Joseph de Maimieux (Pasigraphie, 1797).

As can be seen, De Maimieux’s project was a pasigraphy–that is, a universal written language. Since, however, in 1799 this same author had also formulated a pasilalie–adding rules for pronouncing his language–his project can be considered as an a priori language.

For its part, Hourwitz’s project was for a polygraphy, too–even though he seemed unaware that his was by no means the first project of this type. Still, in its structure, Hourwitz’s polygraphy was an a priori language.

Although all three projects still followed the principles laid down in the seventeenth century tradition, they were different in three fundamental ways: their purposes, the identification of their primitives, and their grammars.

Delormel presented his scheme to the Convention; De Maimieux published his Pasigraphie under the Directory; Hourwitz wrote under the Consulate: every religious motivation had disappeared.

De Maimieux spoke of communication between European nations, between Europeans and Africans, of providing a means of checking the accuracy of translations, of speeding up diplomacy and civil and military undertakings, of a new source of income for teachers, writers and publishers who should “pasigraphize” books written in other languages.

Hourwitz added to this list other purely practical considerations, such as the advantages in the relations between doctors and patients or in courtroom procedures. As one symptom of a new political and cultural atmosphere, instead of using the Lord’s Prayer as a sample translation, Hourwitz chose the opening of Fénelon’s Aventures de Télemaque–a work which, despite its moralizing bent, was still a piece of secular literature portraying pagan gods and heroes.

The revolutionary atmosphere imposed, or at least encouraged, considerations of fraternité. Thus Delormel could claim that:

“in this revolutionary moment, when the human spirit, regenerating itself among the French people, leaps forward with renewed energy, is it too much to hope that perhaps [ . . . ] we might offer to the public a new language as well, a language that facilitates new discoveries by bringing students of various nations together, a language that serves as a common term for all languages, a language easy to grasp even for men with but a slight aptitude for instruction, a language, in short, which will soon make out of all the people of mankind a single, grand family? [ . . . ] The Light of Reason brings men together and thus reconciles them; this language, by facilitating its communication, will help to propagate that Light.” (pp. 48-50).

Each of the authors was aware of the objections made by the authors of the Encyclopédie; thus the a priori languages which they proposed were all ordered according to an encyclopedia-like structure, easy to understand and designed upon the model of the eighteenth century system of knowledge.

Gone was the grandiose pansophist afflatus that animated baroque encyclopedias; the criterion of selection was rather that of Leibniz: the inventors of the languages behaved as if they were conscientious librarians hoping to make consultation as easy as possible, without worrying whether or not their ordering corresponded to the theater of the world.

Absent as well was the search for “absolute” primitives; the fundamental categories were the large-scale divisions of knowledge; under these were listed dependent notions attached as sub-headings.

Delormel, for example, assigned different letters of the alphabet to several encyclopedic classes in a way reminiscent not so much of Wilkins as of the anonymous Spaniard–grammar, art of speech, states of things, correlatives, useful, pleasurable, moral, sensations, perception and judgement, passions, mathematics, geography, chronology, physics, astronomy, minerals, etc.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 293-6.

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July 18, 2016

Eco: The “Library” of Leibniz and the Encyclopédie

ENC_SYSTEME_FIGURE

Jean le Rond d’Alembert and Denis Diderot, Figurative System of Human Knowledge, or the Tree of Diderot and d’Alembert, from the Encyclopédie, circa 1752. 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. 

“During the Enlightenment there began to develop a critical attitude towards any attempt to construct a system of a priori ideas. It was a critique founded, in large part, upon the considerations advanced by Leibniz.

Thus it was in terms that closely recalled Leibniz’s own description of an ideal library that, in his introduction to the Encyclopédie, d’Alembert was to sound the death knell for projects for philosophical a priori languages.

Presented with the practical problem of organizing an encyclopedia and justifying the way that it divided its material, the system of scientific knowledge began to take on the appearance of a labyrinth, a network of forking and twisting paths that put paid to any notion that knowledge might be represented in a tree diagram of any sort.

Knowledge might still be divided into branches, “some of which converge at a common center; and, since, starting from the center, it is impossible to follow all the branches at once, the choice [of pathway] is determined by the nature of the different intellects.”

The philosopher was whoever discovered the hidden passageways within that labyrinth, the provisional interconnections, the web of mutually dependent associations which constituted such a network as a geographical representation.

For this reason the authors of the Encyclopédie decided that each single article would appear as only one particular map, which, in its small way, might reflect the entire global map:

“objects approach each other more or less closely, presenting different aspects according to the perspective chosen by the particular geographer [ . . . ].

Thus it is possible to imagine that there are as many systems of human knowledge as there are representations of the world constructed according to differing projections [ . . . ].

Often, an object placed in one particular class on account of one or another of its properties may reappear in another class because of other properties.”

Following the suggestion of Locke, the Enlightenment was less concerned with the search for perfect languages than with the provision of therapies for already existing ones.

After denouncing the limits of natural languages, Locke (Essay, III, X) had passed to an analysis of the abuse which must occur whenever words are used that do not correspond to clear and distinct ideas, whenever they are used inconsistently, whenever they are employed with the affectation of obscurity, whenever words are taken for things, whenever they are used for things which possess no meaning, and whenever we imagine that others must necessarily associate with the words we use the same ideas as we do.

Locke fixed a set of norms to combat these abuses, and, since Locke was not concerned with lexical or syntactical reform, but simply with subjecting usage to a measure of vigilance and philosophical common sense, these norms had no bearing on the theme of philosophical languages.

Instead of a systematic reform of language, Locke modestly suggested that we be more conscientious in the way we use words to communicate with one another.

This was to be the line adopted by the encyclopedists of the Enlightenment and those whom they inspired.

The encyclopedists launched their attack on philosophical a priori languages principally in their entry under the heading “Caractère,” which was the result of the collaboration of several authors.

Du Marsais made an initial distinction between numerical characters, characters representing abbreviations, and literal characters; these last were further subdivided into emblematic characters (still the accepted interpretation of hieroglyphics) and nominal characters, primarily the characters of the alphabet.

D’Alembert accepted the criticisms that had traditionally been made of the characters used in natural languages, and then discussed the various projects for the construction of real characters, showing an extensive knowledge of the projects in the previous century.

It was a discussion which often confused characters that were ontologically real, that directly expressed, that is, the essence of the things they represented, with characters that were only logically real, capable, that is, of expressing by convention a single idea unequivocally. Still, d’Alembert advanced a number of criticisms that applied equally to both types.

In contrast to those of the seventeenth century, philosophers in the Enlightenment had radically changed the focus of their reflection on language. It now seemed clear that thought and language influenced each other, each proceeding with the other step by step, and that, consequently, language, as it evolved, would constantly modify thought.

Thus it no longer made sense to accept the rationalist hypothesis of a single grammar of thought, universal and stable, which all languages in one way or another reflected. No system of ideas postulated on the basis of abstract reasoning could thus ever form an adequate parameter of and criterion for the formation of a perfect language.

Language did not reflect a preconstituted mental universe, but collaborated in its growth.

The Idéologues demonstrated the impossibility of postulating a universal way of thinking, independent of the human semiotic apparatus. Destutt de Tracy (Eléments d’idéologie, I, 546, n.) argued that it was not possible to confer on all languages the attributes of algebra. In the case of natural languages:

“we are often reduced to conjectures, inductions, and approximations [ . . . ]. Almost never can we have a perfect certainty that an idea which we have constructed for ourselves under a certain sign and by various means is really utterly and entirely the same as the idea that those who taught us the sign as well as anyone else who might subsequently use the sign might attribute to it.

Hence words may often, insensibly, take on differences in meaning without anyone noting these changes; for this reason we might say that while every sign is perfectly transparent for whomever invents it, it is somewhat vague and uncertain for those who receive it [ . . . ].

I might even carry this further: I said that every sign is perfect for whomever invents it, but this is only really true at the precise instant when he invents the sign, for when he uses this same sign in another moment in his life, or when his mind is in another disposition, he can no longer be entirely sure that he has gathered up under this sign the same collection of ideas as he had the first time he used it.” (pp. 583-5).

Tracy understood that the prerequisite of all philosophical languages was the absolute and univocal correspondence between signs and the ideas they represented. An examination, however, of the seventeenth century English systems led him to the conclusion that “it is impossible that the same sign possess the same meaning for all who use it [ . . . ]. We thus must give up the idea of perfection.” (Eléments d’idéologie, II, 578-9).

This was a theme that was common to empiricist philosophy, to which all the Idéologues referred. Locke had already noted that although the names glory and gratitude were

“the same in every Man’s mouth, through a whole country, yet the complex, collective Idea, which everyone thinks on, or intends by that name, is apparently very different in Men using the same language. [ . . . ]

For though in the Substance Gold, one satisfies himself with Color and Weight, yet another thinks solubility in Aqua Regia, as necessary to be join’d with that Color in his Idea of Gold, as any one does its Fusibility; Solubility in Aqua Regia, being a Quality as constantly join’d with its Color and and Weight, as Fusibility, or any other; others put its Ductility or Fixedness, etc. as they had been taught by Tradition and Experience.

Who, of all these, has establish’d the right termination of the word Gold?” (Essay, III, IX, 8, 13).

Returning to the Idéologues, Joseph-Marie Degérando, whose criticisms of Wilkins we have already encountered, observed (Des signes et l’art de penser considérés dans leur rapports mutuels, 1800) that the ensemble of associated ideas represented by the word man would be more extensive in the mind of a philosopher than in that of a common laborer, and that the word liberty could not have meant in Sparta what it did in Athens (I, 222-3).

The impossibility of elaborating a philosophic language is finally due to the fact that since languages develop through a set of stages, a development that the Idéologues delineated with great precision, there was no way of deciding the linguistic stage of development that a perfect language should represent.

Choosing to reflect one stage rather than another, a philosophical language will then continue to reflect all the limitations of that linguistic stage, while just to overcome these limitations humanity had passed to further and more articulate stages.

Once it had been perceived that the process of linguistic change is continuous, that language is subject to change not only at its prehistoric point of origin, but also in the present day, it became obvious that any thought of reviving the idea of a philosophic language was destined to fail.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 288-92.

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July 15, 2016

Eco: Side-effects

Leipzig_Leibniz_Denkmal_02

Ernst Hähnel, statue of Leibniz, 1883, Leipzig, Germany. Photo © Ad Melkens / Wikimedia Commons.  

“Thus all of the ingenuity expended upon the invention of philosophic a priori languages allowed Leibniz to invent a language of a radically different type, which–though remaining a priori–was no longer a practical, social instrument but rather a tool for logical calculation.

In this sense, Leibniz’s language, and the contemporary language of symbolic logic that descended from it, are scientific languages; yet, like all scientific languages, they are incapable of expressing the entire universe, expressing rather a set of truths of reason.

Such languages do not qualify as a universal language because they fail to express those truths that all natural languages express–truths of fact. Scientific languages do not express empirical events.

In order to express these we would need “to construct a concept which possesses an incalculable number of determinations,” while the completely determined concept of any individual thing or person implies “spatial-temporal determinations which, in their turn, imply other spatial-temporal successions and historical events whose mastery is beyond the human eye, and whose control is beyond the capacity of any man.” (Mugnai 1976: 91).

None the less, by anticipating what was to become the language of computers, Leibniz’s project also contributed to the development of programs well adapted for the cataloguing of the determinations of individual entities, which can tell us that there exists an entity called Mr. X such that this entity has booked a flight from A to B.

We may well fear that by controlling our determinations so well the computer eye has begun to infringe on our privacy, checking on the hour in which we reserved a room in a certain hotel in a certain city. This, then, is one of the side-effects of a project that commenced with the idea of expressing a merely theoretical universe populated with universal ideas such as goodness, angels, entity, substance, accidents, and “all the elephants.”

Dalgarno could never have imagined it. Passing through the mathematical filter of Leibniz, renouncing all semantics, reducing itself to pure syntax, his philosophical a priori language has finally managed to designate even an individual elephant.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 287-8.

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July 14, 2016

Eco: Blind Thought, 2

Wittgenstein, Ludwig

Ludwig Wittgenstein (1899-1951), portrait by Moritz Nähr (1859-1945), 1930, held by the Austrian National Library under Accession Number Pf 42.805: C (1). 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 70 years or less. 

“As Leibniz observed in the Accessio ad arithmeticum infinitorum of 1672 (Sämtliche Schriften und Briefen, iii/1, 17), when a person says a million, he does not represent mentally to himself all the units in that number. Nevertheless, calculations performed on the basis of this figure can and must be exact.

Blind thought manipulates signs without being obliged to recognize the corresponding ideas. For this reason, increasing the power of our minds in the manner that the telescope increases the power of our eyes, it does not entail an excessive effort.

“Once this has been done, if ever further controversies should arise, there should be no more reason for disputes between two philosophers than between two calculators. All that will be necessary is that, pen in hand, they sit down together at a table and say to each other (having called, if they so please, a friend) “let us calculate.” (In Gerhardt 1875: VII, 198ff).

Leibniz’s intention was thus to create a logical language, like algebra, which might lead to the discovery of unknown truths simply by applying syntactical rules to symbols. When using this language, it would no more be necessary, moreover, to know at every step what the symbols were referring to than it was necessary to know the quantity represented by algebraic symbols to solve an equation.

Thus for Leibniz, the symbols in the language of logic no longer stood for concrete ideas; instead, they stood in place of them. The characters “not only assist reasoning, they substitute for it.” (Couturat 1901: 101).

Dascal has objected (1978: 213) that Leibniz did not really conceive of his characteristica as a purely formal instrument apparatus, because symbols in his calculus are always assigned an interpretation. In an algebraic calculation, he notes, the letters of the alphabet are used freely; they are not bound to particular arithmetical values.

For Leibniz, however, we have seen that the numerical values of the characteristic numbers were, so to speak, “tailored” to concepts that were already filled with a content–“man,” “animal,” etc.

It is evident that, in order to demonstrate that “man” does not contain “monkey,” the numerical values must be chosen according to a previous semantic decision. It would follow that what Leibniz proposed was really a system both formalized and interpreted.

Now it is true that Leibniz’s posterity elaborated such systems. For instance, Luigi Richer (Algebrae philosophicae in usum artis inveniendi specimen primum, “Melanges de philosophie et de mathématique de la Societé Royale de Turin,” 1761: II/3), in fifteen short and extremely dry pages, outlined a project for the application of algebraic method to philosophy, by drawing up a tabula characteristica containing a series of general concepts (such as aliquid, nihil, contingens, mutabile) and assigning to each a conventional sign.

The system of notation, semicircles orientated in various ways, makes the characters hard to distinguish from one another; still, it was a system of notation that allowed for the representation of philosophical combinations such as “This Possible cannot be Contradictory.”

This language is, however, limited to abstract reasoning, and, like Lull, Richer did not make full use of the possibilities of combination in his system as he wished to reject all combinations lacking scientific utility (p. 55).

Towards the end of the eighteenth century, in a manuscript dating 1793-4, we also find Condorcet toying with the idea of a universal language. His text is an outline of mathematical logic, a langue des calculs, which identifies and distinguishes intellectual processes, expresses real objects, and enunciates the relations between the expressed objects and the intellectual operations which discover the enunciated relations.

The manuscript, moreover, breaks off at precisely the point where it had become necessary to proceed to the identification of the primitive ideas; this testifies that, by now, the search for perfect languages was definitively turning in the direction of a logico-mathematical calculus, in which no one would bother to draw up a list of ideal contents but only to prescribe syntactic rules (Pellerey 1992a: 193ff).

We could say that Leibniz’s characteristica, from which Leibniz had also hoped to derive metaphysical truths, is oscillating between a metaphysical and ontological point of view, and the idea of designing a simple instrument for the construction of deductive systems (cf. Barone 1964: 24).

Moreover, his attempts oscillate between a formal logic (operating upon unbound variables) and what will later be the project of many contemporary semantic theories (and of artificial intelligence as well), where syntactic rules of a mathematical kind are applied to semantic (and therefore interpreted) entities.

But Leibniz ought to be considered the forerunner of the first, rather than of the second, line of thought.

The fundamental intuition that lies behind Leibniz’s proposal was that, even if the numbers were chose arbitrarily, even if it could not be guaranteed that the primitives posited for the same of argument were really primitive at all, what still guaranteed the truth of the calculus was the fact that the form of the proposition mirrored an objective truth.

Leibniz saw an analogy between the order of the world, that is, of truth, and the grammatical order of the symbols in language. Many have seen in this a version of the picture theory of language expounded by Wittgenstein in the Tractatus, according to which “a picture has logico-pictorial form in common with what it depicts” (2.2).

Leibniz was thus the first to recognize that the value of his philosophical language was a function of its formal structure rather than of its terms; syntax, which he called habitudo or propositional structure, was more important than semantics (Land 1974: 139).

“It is thus to be observed that, although the characters are assumed arbitrarily, as long as we observe a certain order and certain rule in their use, they give us results which always agree with each other. (Dialogus in Gerhardt 1875: VII, 190-3).

Something can be called an “expression” of something else whenever the structure [habitudines] subsisting in the expression corresponds to the structure of that which it wishes to express [ . . . ].

From the sole structure of the expression, we can reach the knowledge of the properties of the thing expressed [ . . . ] as long as there is maintained a certain analogy between the two respective structures.” (Quid sit idea in Gerhardt 1875: VII, 263-4).

What other conclusion could the philosopher of preestablished harmony finally have reached?”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 281-4.

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July 10, 2016

Eco: From Leibniz to the Encyclopédie

Gottfried_Wilhelm_Leibniz_c1700

Johann Friedrich Wentzel (1670-1729), Gottfried Wilhelm Leibniz (1646-1716), circa 1700. This work is in the public domain in its country of origin and other countries and areas where the copyright term is the author’s life plus 100 years or less. 

“In 1678 Leibniz composed a lingua generalis (in Couturat 1903). After decomposing all of human knowledge into simple ideas, and assigning a number to each, Leibniz proposed a system of transcription for these numbers in which consonants stood for integers and vowels for units, tens and powers of ten:

Umberto Eco, The Search for the Perfect Language, p. 270

Umberto Eco, The Search for the Perfect Language, p. 270. 

In this system, the figure 81,374, for example, would be transcribed as mubodilefa. In fact, since the relevant power of ten is shown by the following vowel rather than by the decimal place, the order of the letters in the name is irrelevant: 81,374 might just as easily be transcribed as bodifalemu.

This system might lead us to suspect that Leibniz too was thinking of a language in which the users might one day discourse on bodifalemu or gifeha (= 546) just as Dalgarno or Wilkins proposed to speak in terms of nekpot or deta.

Against this supposition, however, lies the fact that Leibniz applied himself to another, particular form of language, destined to be spoken–a language that resembled the latino sine flexione invented at the dawn of our own century by Peano.

This was a language whose grammar was drastically simplified and regularized: one declension for nouns, one conjunction for verbs, no genders, no plurals, adjectives and adverbs made identical, verbs reduced to the formula of copula + adjective.

Certainly, if my purpose were to try to delineate the entire extent of the linguistic projects undertaken by Leibniz throughout the course of his life, I would have to describe an immense philosophical and linguistically monument displaying four major aspects:

(1) the identification of a system of primitives, organized in an alphabet of thought or in a general encyclopedia;

(2) the elaboration of an ideal grammar, inspired probably by the simplifications proposed by Dalgarno, of which the simplified Latin is one example;

(3) the formulation of a series of rules governing the possible pronunciation of the characters;

(4) the elaboration of a lexicon of real characters upon which the speaker might perform calculations that would automatically lead to the formulation of true propositions.

The truth is, however, that by the end of his career, Leibniz had abandoned all research in the initial three parts of the project. His real contribution to linguistics lies in his attempts at realizing the fourth aspect.

Leibniz had little interest in the kinds of universal language proposed by Dalgarno and Wilkins, though he was certainly impressed by their efforts. In a letter to Oldenburg (Gerhardt 1875: VII, 11-5), he insisted that his notion of a real character was profoundly different from that of those who aspired to a universal writing modeled on Chinese, or tried to construct a philosophic language free from all ambiguity.

Leibniz had always been fascinated by the richness and plurality of natural languages, devoting his time to the study of their lineages and the connections between them. He had concluded that it was not possible to identify (much less to revive) an alleged Adamic language, and came to celebrate the very confusio linguarum that others were striving to eliminate (see Gensini 1990, 1991).

It was also a fundamental tenet of his monadology that each individual had a unique perspective on the world, as if a city would be represented from as many different viewpoints as the different positions of its inhabitants.

It would have been incongruous for the philosopher who held this doctrine to oblige everyone to share the same immutable grillwork of genera and species, without taking into account particularities, diversities and the particular “genius” of each natural language.

There was but one facet of Leibniz’s personality that might have induced him to seek after a universal form of communication; that was his passion for universal peace, which he shared with Lull, Cusanus and Postel.

In an epoch in which his english predecessors and correspondents were waxing enthusiastic over the prospect of universal languages destined to ease the way for future travel and trade, beyond an interest in the exchange of scientific information, Leibniz displayed a sensitivity towards religious issues totally absent even in high churchmen like Wilkins.

By profession a diplomat and court councillor, Leibniz was a political, rather than an academic, figure, who worked for the reunification of the church. This was an ecumenicism that reflected his political preoccupations; he envisioned an anti-French bloc of Spain, the papacy, the Holy Roman Emperor and the German princes.

Still, his desire for unity sprang from purely religious motives as well; church unity was the necessary foundation upon which a peaceful Europe could be built.

Leibniz, however, never thought that the main prerequisite for unity and peace was a universal tongue. Instead, he thought that the cause of peace might be better served by science, and by the creation of a scientific language which might serve as a common instrument in the discovery of truth.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 269-1.

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July 4, 2016

Eco: George Dalgarno

Dalgarno_Ars_Signorum

George Dalgarno (1626-1687), title page of Ars Signorum, printed by J. Hayes, London, 1661. Published 20 years before Didascalocophus, Ars signorum preceded Bishop Wilkin‘s speculations on a “real character and a philosophical language.” 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.

“It is difficult to make a precise evaluation of George Dalgarno’s Ars signorum, published in 1661. In contrast to Wilkin’s Essay, Dalgarno’s tables are summary and the text, in its expository sections, is written in a language that is extremely cryptic, sometimes contradictory, and almost always strikingly allusive.

The book is filled with printer’s errors, especially where Dalgarno provides examples of real characters–not an inconsiderable problem in reading a language where the misprint of one letter changes the whole sense of the character.

We might note that the difficulty in printing a text free of errors shows how cumbersome the philosophic languages were, even for their own creators.

Dalgarno was a Scottish schoolmaster who passed most of his life at Oxford, where he taught grammar at a private school. He was in touch with all the contemporary scholars at the university, and in the list of acknowledgements at the beginning of his book he mentions men such as Ward, Lodwick, Boyle and even Wilkins.

It is certain that, as he was preparing his Essay (published seven years later), Wilkins contacted Dalgarno and showed him his own tables. Dalgarno regarded them as too detailed, and chose to follow what seemed to him an easier path.

When Wilkins finally made his project public, however, Dalgarno felt himself to be the victim of plagiarism. The suspicion was unjust: Wilkins had accomplished what Dalgarno had only promised to do.

Besides, various other authors had already anticipated many of the elements appearing in the project of Dalgarno. Still, Wilkins resented the insinuation of wrong-doing. In the acknowledgements that prefaced his Essay, Wilkins was prodigal with his thanks to inspirers and collaborators alike, but the name of Dalgarno does not appear–except in an oblique reference to “another person.” (b2r).

In any case, it was the project of Wilkins that Oxford took seriously. In 1668 the Royal Society instituted a commission to study the possible applications of the project; its members included Robert Hook, Robert Boyle, Christopher Wren and John Wallis.

Although we are not informed of the conclusions that they finally reached, subsequent tradition, from Locke to the Encyclopédie, invariably treated Wilkins as the author of the most important project.

Perhaps the only scholar who considered Dalgarno respectfully was Leibniz, who, in a rough draft for his own encyclopedia, reproduced Dalgarno’s list of entities almost literally (see Rossi 1960: 272).

Wilkins, of course, was perfectly at home at the Royal Society. He served as its secretary, and could freely avail himself of the help, advice, patronage and attention of his fellow members. Dalgarno, by contrast, was not even a member of the university.

Dalgarno saw that a universal language needed to comprehend two distinct aspects: first, a content-plane, that is, a classification of all knowledge, and that was a task for a philosopher; second, an expression-level, that is, a grammar that organized the characters so that they can properly denote the content elements–and this was a task for a grammarian.

Dalgarno regarded himself as a grammarian rather than a philosopher; hence he merely outlined the principles of classification upon which his language would be based, hoping that others might carry this task to fruition.

As a grammarian, Dalgarno was sensitive to the problem that his language would need to be spoken and not just written. He was aware of the reserves Descartes had expressed about the difficulty of devising a philosophic language that might be pronounced by speakers of differing tongues; thus he introduced his project with a phonetic analysis which sought to identify those sounds which were most easily compatible with the human organs of speech.

The letters from which he later composed his character were not, as they might seem, chosen arbitrarily; he chose instead those which he considered most easy to utter. Even when he came to elaborate the syntagmatic order of his character, he remained concerned with ease of pronunciation.

To this end, he made sure that consonants were always followed by vowels, inserting in his character a number of diphthongs whose function is purely euphonious. This concern certainly ensured ease of pronunciation; unfortunately, it also rendered his character increasingly difficult to identify.

After phonetics, Dalgarno passed to the problem, of the semantic primitives. He believed that these could all be derived solely in terms of genus, species and difference, arguing that such a system of embedded dichotomies was the easiest to remember (p. 29).

For a series of logico-philosophical reasons (explained pp. 30ff), he excluded negative differences from his system, retaining only those which were positive.

The most ambitious feature of Dalgarno’s project (and Wilkin’s as well) was that his classification was to include not only natural genera and species (comprehending the most precise variations in animals and plants) but also artifacts and accidents–a task never attempted by the Aristotelian tradition (see Shumaker 1982: 149).

In fact, Dalgarno based his system of classification on the rather bold assumption that all individual substances could be reduced to an aggregate of accidents (p. 44). This is an assumption which, as I have tried to show elsewhere (Eco 1984: 2.4.3), arises as an almost mechanical consequence of using Porphyry’s Tree as a basis for classification; it is a consequence, moreover, that the entire Aristotelian tradition has desperately tried to ignore.

Dalgarno confronted the problem, even though recognizing that the number of accidents was probably infinite. He was also aware that the number of species at the lowest order was unmanageably large–he calculated that they would number between 4,000 and 10,000.

This is probably one of the reasons why he rejected the help of Wilkins, who was to persevere until he had classified 2,030 species. Dalgarno feared that such a detailed classification ran the risk of a surgeon who, having dissected his cadavers into minute pieces, could no longer tell which piece belonged to Peter and which to John (p. 33).

In his endeavor to contain the number of primitives, Dalgarno decided to introduce tables in which he took into consideration only fundamental genera (which he numbered at 17), together with the intermediary genera and the species.

Yet, in order to gather up all the species in this tripartite division, Dalgarno was forced to introduce into his tables a number of intermediate disjunctions. These even received names in the language: warm-blooded animals, for example, are called NeiPTeik; quadrupeds are named Neik.

Yet in the names only the letters for genera, intermediary genera, and species are taken into account. (Mathematical entities are considered as concrete bodies on the assumption that entities like points and lines are really forms).”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 228-31.

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