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Tag: Gulliver’s Travels

Eco: The Alphabet and the Four Figures, 3


Jonathan Swift, Gulliver’s Travels, 1892 George Bell and Sons edition, Project Gutenberg. Also see Jonathan Swift, Gulliver’s Travels, A.J. Rivero, ed., New York: W.W.Norton, 2001, Part III, chapter 5. Cited in Bethany Nowviskie, “Ludic Algorithms,” in Kevin Kee, ed., Pastplay: Teaching and Learning History with Technology, Ann Arbor, MI: University of Michigan Press, 2014. 

“It follows that Lull’s art is not only limited by formal requirements (since it can generate a discovery only if one finds a middle term for the syllogism); it is even more severely limited because the inferences are regulated not by formal rules but rather by the ontological possibility that something can be truly predicated of something else.

The formal rules of the syllogism would allow such arguments as “Greed is different from goodness — God is greedy — Therefore God is different from goodness.” Yet Lull would discard both the premises and the conclusion as false.

The art equally allows the formulation of the premise “Every law is enduring,” but Lull rejects this as well because “when an injury strikes a subject, justice and law are corrupted” (Ars brevis, quae est de inventione mediorum iuris, 4.3a).

Given a proposition, Lull accepts or rejects its logical conversion, without regard to its formal correctness (cf. Johnston 1987: 229).

Nor is this all. The quadruples derived from the fourth figure appear in the columns more than once. In Ars magna the quadruple BCTB, for example, figures seven times in each of the first seven columns.

In V, 1, it is interpreted as “Whether there exists some goodness so great that it is different,” while in XI, 1, applying the rule of logical obversion, it is read as “Whether goodness can be great without being different”–obviously eliciting a positive response in the first case and a negative one in the second.

Yet these reappearances of the same argumentative scheme, to be endowed with different semantic contents, do not bother Lull. On the contrary, he assumes that the same question can be solved either by any of the quadruples from a particular column that generates it, or from any of the other columns!

Such a feature, which Lull takes as one of the virtues of his art, represents in fact its second severe limitation. The 1,680 quadruples do not generate fresh questions, nor do they furnish new proofs.

They generate instead standard answers to an already established set of questions. In principle, the art only furnishes 1,680 different ways of answering a single question whose answer is already known.

It cannot, in consequence, really be considered a logical instrument at all. It is, in reality, a sort of dialectical thesaurus, a mnemonic aid for finding out an array of standard arguments able to demonstrate an already known truth.

As a consequence, any of the 1,680 quadruples, if judiciously interpreted, can yield up the correct answer to the question for which it is adapted.

See, for instance, the question “Whether the world is eternal” (“Utrum mundus sit aeternus“). Lull already knew the answer: negative, because anyone who thought the world eternal would fall into the Averroist error.

Note, however, that the question cannot be generated directly by the art itself; for there is no letter corresponding to world. The question is thus external to the art.

In the art, however, there does appear a term for eternity, that is, D; this provides a starting point.

In the second figure, D is tied to the relative principle contrarietas or opposition, as manifested in the opposition of the sensible to the sensible, of the intellectual to the sensible, and of the intellectual to the intellectual.

The same second figure also shows that D forms a triangle with B and C. The question also began with utrum, which appears at B under the heading Questiones in the tabula generalis. This constitutes a hint that the solution needs to be sought in the column in which appear B, C and D.

Lull says that “the solution to such a question must be found in the first column of the table;” however, he immediately adds that, naturally, “it could be found in other columns as well, as they are all bound to each other.”

At this point, everything depends on definitions, rules, and a certain rhetorical legerdemain in interpreting the letters. Working from the chamber BCDT (and assuming as a premise that goodness is so great as to be eternal), Lull deduces that if the world were eternal, it would also be eternally good, and, consequently, there would be no evil.

“But,” he remarks, “evil does exist in the world as we know by experience. Consequently we must conclude that the world is not eternal.” This negative conclusion, however, is not derived from the logical form of the quadruple (which has, in effect, no real logical form at all), but is merely based on an observation drawn from experience.

The art may have been conceived as the instrument to use universal reason to show the Averroist Muslims the error of their ways; but it is clear that unless they already shared with Lull the “rational” conviction that the world cannot be eternal, they are not going to be persuaded by the art.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 62-4.

Umberto Eco: Search for the Perfect Language


Pieter Brueghel the Elder (1526/1530-1569), The Tower of Babel (circa 1563-1565, oil on panel, Museum Bojimans Van Beuningen, Room 06, Rotterdam. Accession number 2443 (OK). Bequeathed to the Museum Bojimans Van Beuningen by Daniël George van Beuningen. Brueghel painted three versions of the Tower of Babel. This one is in the collection of the Museum Bojimans Van Beuningen in Rotterdam. A second version is in the collection of the Kunsthistorisches Museum in Vienna. A third version, a miniature on ivory, is apparently held by a private collector. Its disposition is unknown. The official position taken by the Wikimedia Foundation is that “faithful reproductions of two-dimensional public domain works of art are public domain”.

This is the first page of my serialization of Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995.

Editorial Note

This book is not available in electronic formats from Amazon or other vendors, and there are no .pdf versions lurking anywhere on the web. The lone electronic version that I did uncover is hosted on, and lending is controlled using Adobe Digital Editions. This so offended me that I digitized every page of the work. Making no apologies, I publish it here.

This book by Umberto Eco was mentioned in an article discussed earlier on this site, by Tzahi Weiss, “On the Matter of Language: The Creation of the World from Letters and Jacques Lacan’s Perception of Letters as Real,” 2009.

My post on this paper is published as Smoke Signals: Comments on Borges, Tzahi Weiss, Kabbalah, “On the Matter of Language: The Creation of the World From Letters and Jacques Lacan’s Perception of Letters As Real,” JJTP 17.1, Brill, 2009.

Eco Begins

With no further ado, Eco opens with several excerpts, one from Herodotus, History, II, I, another from Jonathan Swift, Gulliver’s Travels, III, pg. 5, and this one, from Leibniz, Letter to Duke of Hanover, 1679, which I excerpt in full.

“If only God would again inspire your Highness, the idea which had the goodness to determine that I be granted 1200 emus would become the idea of a perpetual revenue, and then I would be as happy as Raymond Lull, and perhaps with more reason . . . For my invention uses reason in its entirety and is, in addition, a judge of controversies, an interpreter of notions, a balance of probabilities, a compass which will guide us over the ocean of experiences, an inventory of things, a table of thoughts, a microscope for scrutinizing present things, a telescope for predicting distant things, a general calculus, an innocent magic, a non-chimerical cabal, a script which all will read in their own language; and even a language which one will be able to learn in a few weeks, and which will soon be accepted amidst the world. And which will lead the way for the true religion everywhere it goes.”

Leibnitz, Letter to Duke of Hanover, 1679.

“The dream of a perfect language did not only obsess European culture. The story of the confusion of tongues, and of the attempt to redeem its loss through the rediscovery or invention of a language common to all humanity, can be found in every culture (cf. Borst 1957-63). Nevertheless, this book will tell only one strand of that story — the European; and, thus, references to pre- or extra-European cultures will be sporadic and marginal.

This book has another limit as well; that is, a qualitative one. As I was on the verge of writing its final version, there reached my desk at least five recent projects, all of which seem to be related to the ancient prototypes I was dealing with.

I should emphasize that I will be limiting myself to those prototypes because Borst, whose own study concerns only the historical discussion on the confusion of tongues, has managed to present us with six volumes.

Finishing this introduction, I received Demonet’s account of the debate on the nature and origin of language between 1480 and 1580, which takes up seven hundred thick and weighty pages.

Couturat and Leau analyzed 19 models of a priori languages, and another 50 mixed or a posteriori languages; Monnerot-Dumaine reports on 360 projects for international languages; Knowlson lists 83 projects of universal languages during the seventeenth and eighteenth centuries; and, though limiting himself to projects in the nineteenth century, Porset provides a list of 173 titles.

Moreover, in the few years I have dedicated to this subject, I have discovered in antiquarian catalogues a large number of works missing from the biographies of the preceding books.

Some, by obscure authors, were entirely dedicated to the glottogonic problems; others were by authors known for other reasons, who, none the less, dedicated substantial chapters to the theme of the perfect language.

This ought to be enough to convince anyone that our list of titles is still far from complete; and, that therefore, to paraphrase a joke by Macedonio Fernandez, the number of things which are not in the bibliographies is so high that it would be impossible to to find room for one more missing item.

Hence my decision to proceed by a campaign of deliberated decimation. I have reserved attention for projects which seemed to me exemplary (whether for their virtues or their defects); as for the rest I defer to works dedicated to specific authors and periods.”

Umberto Eco, The Search for the Perfect Language, translated by James Fentress, Blackwell. Oxford, 1995, pp. 1-2.


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