O’Donovan notes: the calendar’s emblems – November and July. Pt.1

c.3500 words

edited to correct mis-spelling – 25th Sept – somewhere along the line ‘Lippencott’ made its way into the spell-check’s ‘don’t check’ list. My apologies to the scholar.

The author’s rights are asserted.

Introduction.

It should not come as much of a surprise that the series of diagrams we call the ‘Voynich calendar’ has not found any counterpart in the art of western Christian (‘Latin’) Europe. Nor, if also considered as a series, has the sequence of its diagrams’ central emblems.

It remains possible that some day there may found a work of Latin (i.e. western European Christian) origin in which there is comparable series of month- diagrams, presented on such a fold-in, beginning with March, following March with two segments each showing a goat, and then two segments showing bull-like forms, and which also includes a Scales of the same unusual construction, two lobsters for ‘July’ and a quadruped with a whip-like tail for ‘November’ – but none has been found yet during the century and more since 1912.

An analytical approach meets divergence from any theoretical norm not as if it were a social gaffe, politely to be ignored, but as a sign of potentially valuable information. In this case, we hope the information gained might ultimately assist those still wondering where and when they should look for whatever language or dialect (if any) informs the written text.

The major flaw in a widely promoted ‘central European-Ruolfine-German’ theory is that it takes as axiomatic too many of the old guesses, including the guess that although the series of central emblems in the Voynich calendar does not form a zodiac, or any coherent segment of one, it may be treated as if it did.

The analyst’s approach says rather, ‘Well, since it isn’t a zodiac, why isn’t it, and to what purpose was it made which has it differ so obviously from that theoretical model?”

If that were our present question, it would require considering the entire series – the central emblems included with their diagrams – but at present we are investigating the degree to which astronomical, historical and cultural information we’ve gained from diagrams in other sections of the manuscript does or doesn’t chime with information offered by the calendar. For the sake of the exercise, therefore, we will concentrate on just two of the central emblems, those overwritten with the month-names for November and for July.

From the earlier two analyses* it was concluded that those are most likely to have been brought into a Latin environment between the mid-thirteenth to later fourteenth centuries AD with one showing a greater proportion of its drawing compatible with the visual language of medieval Latin (western Christian) Europe than the other. Asian influence was recognised in both.

*of the diagrams on fol. 85r and fol. 67v-1.

Our now considering a couple of emblems from the Voynich calendar is done to test whether those astronomical emblems do, or don’t, say the same.

For newcomers, let me emphasise that any formal analytical study must treat the whole of any drawing or series: in the calendar that means both diagram and central emblem – no conclusions being valid which cherry-pick. However, this being an exercise and demonstration of research-method, we may use these two as example of how to progress through a work, piece after piece, testing and reconciling opinions gained from one item against those which follow, to build a cumulative study.

November.

Our attention having already been drawn, and repeatedly, to the south-western Mediterranean, the fact that the Voynich ‘calendar’-emblems were over-written with month-names in a dialect or language from that region, or linked directly to it by contemporary networks, makes it reasonable to begin there.

Below is a map showing entanglements between the relevant linguistic regions – those most densely coloured red – during the thirty years between 1358 AD to 1372 AD. It is not a maritime chart, nor a political map, nor does it map textual stemma. It illustrates the commercial network of trade and correspondence for one trading house while the Italian founder was resident in papal Avignon. I apologise for the map’s poor quality; it is as it appears in the source..

Francesco di Marco Datini was born in Prato, near Florence. His knowledge of commercial maths’ method and practice being most likely gained in Paolo Dagomari’s ‘abaco’ school* in Florence. Between regions speaking Catalan, Judeo-Catalan, Occitan (most often posited as providing the calendar’s month-names), goods and people travelled chiefly in the ships of Genoa, of Venice and of Catalonia.

*For more, and references, see earlier post, ‘Consider… Maths & memory Pt 1‘, voynichrevisionist, (January 13, 2022),

Edit: August 9th. The paragraph’s last sentence was poorly expressed. Please read: ‘Between regions… the ships in which goods and people travelled were predominantly those of Genoa, of Venice and of Catalonia’.

Routes – controlled by Venice – blue; by Genoa – red.

It was also in the context of the new abaco schools – dedicated to commercial maths, geometry, practical astronomy and navigation – that use of Arabic numerals was fostered in Latin Europe, and that simpler ‘4’ shape for the numeral – a form similar to one of the Voynich glyphs – was disseminated. Its earliest known instance occurs in 1375, in the great rose-gridded worldmap commissioned for the court of France from a Jewish master named Abraham Cresques’, a resident of Majorca.

As I first pointed out a decade ago, there are discernable points of connection between Cresques’ Atlas, early Genoese cartes marine in that new, rose-gridded style, and the Voynich map, but the last (as I concluded) comes of older and different origins, its final recension when Latin-compatible details were added, dating to about 1350 AD.

In Cresques’ work, the zodiac constellations are represented as a fairly standard series, but they do reflect a habit which we’ll see again, by which crab and scorpion are suggested related, or akin to one another. The same attitude is reflected by the zodiac in the Occitan manuscript, made about fifty years before (see header), – but that characteristic is not found in the Voynich calendar.

Caution: on the web there are many altered and edited images purporting to be from Cresques’ Atlas (also described as the Catalan Atlas). Some are over-written with large, white geomantic figures. Another that I’ve seen paints over, with gold, all the inscriptions that in the original are written in Hebrew letters.

By the early fifteenth century, when the Voynich quires are thought to have been inscribed, the finest ateliers and illuminators in this part of Europe were producing images of Crab and Scorpion in forms we might call ‘classic’ and which will be immediately familiar to a modern reader. Paris was still the intellectual capital of Europe, and Italy increasingly the artistic and literary capital of Europe, while other regions were still to come into full flower.

The new commercial ‘4’ for the numeral would not appear in Germany until after 1440 and in works produced from Germany and central Europe, forms were still employed – for Scorpius especially – which had been used in the south-western Mediterranean as much as four hundred years earlier, and which there had been largely superseded by the early fifteenth century.

Below is the ‘November’ page from a manuscript created in Burgundy within the same date-range as the Voynich quires’ vellum (1405-1438 AD). Its Crab was painted at some time between 1412 and 1416, though parts of its ‘November’ page were completed only between 1435-1489. The ‘November’ page looks like this.

Limbourg Bros. Très Riche Heures du Duc de Berry 1416 AD.

Its Scorpion is recognisable as you see; and so is its Crab.

Unlike the Voynich calendar, these monthly diagrams show constellations extending across adjacent months, as astrological signs do, but which the Voynich month-diagrams do not.

Another difference, if a predictable one, is that this high-status and high-end work, despite its being made a quarter-century after Cresques’ Atlas, retains the older and by then conservative form for the numeral ‘four’.

What this indicates is that if – and we emphasise that if – the hands which wrote the Voynich ‘4o’ were accustomed to writing the numeral as ‘4’, it is unlikely that the manuscript was composed first in central Europe or by members of Latin Europe’s social or scholarly elites.

Further evidence of the work’s being used by and for persons of lesser standing is the fact that the month-names are inscribed in a southern vernacular dialect or language rather than in Latin.

On the other hand, it was during the period presently of most interest to us (1350-1430 AD) that use of a regional vernacular for literary compositions of all kinds was becoming not merely more popular among a few educated people but was becoming a hot political issue.

Initially fostered by the popularity of Occitan-speaking troubadores, as their popularity waned, a political movement arose which would ultimately develop into modern nationalism, with its less pleasant twin, active xenophobia.

The Italian Brunetto Latini had written his most famous work in the French vernacular, but Dante’s Cantos had the greater and more lasting impact over the period between their completion in 1320 and the end-date for the Voynich manuscript’s vellum (1438 AD).

Varieties of Occitan were spoken not only within the borders of what is now modern France; it was also spoken in parts of Italy and according to a wiki author (who provides no reference)

The first part of the name, Occ-, comes from Occitan òc and the expression ‘langue d’oc’.. is an appellation promoted by Dante Alighieri of Occitan by the way of saying “oui” in Old OccitanCatalan; as opposed to the “langue de si” (Italian) and the “langue d’oïl” (“yes” in Old French).

*Dante’s son was another student of Paolo Dagomari’s ‘abaco’ school.

So, the frame within which the evidence offered by the Voynich calendar may now be explored means that wherever it was copied in the early fifteenth century, the probability is it was a region where Occitan, Judeo-Catalan etc. were understood. For the form(s) given its emblems for November and July – supposing they are intended as astronomical emblems – we cannot look to works first composed in fifteenth-century France and Italy unless the copyist’s intention was to reproduce faithfully forms found in some much older work. The Voynich ‘November’ beast is no expression of fifteenth-century fashion.

It is easy enough to resort to imagination (aka theory) to explain why, if it is an astronomical emblem, the November figure does not present the form of a scorpion. We might imagine :

  • that the copyist had no idea what a scorpion looked like.
  • that the copyist had no means to discover how one should represent the constellation Scorpius,
  • that he had been struggling to understand Aratus in the original Greek and mis-interpreted αὐτὰρ ὑπ᾽ αἰθομένῳ κέντρῳ τέραος μεγάλοιο σκορπίου to mean not, “the great beast, [the] Scorpion” but “the great beast [whose name is] Skorpios” – and so drew his idea of ‘a great beast’.

And given the history of astronomical learning in medieval Latin Europe and the long, confused history for transmission of Aratus’ Phaenomena, the last might easily be accepted as plausible.

But imagination-as-theory is embedded in traditional Voynich method, so let’s leave it aside and begin working from physical evidence and the historical and cultural context.

What sort of works might have caused images of this kind to be included in the fifteenth century manuscript by persons who, it would seem, understood the dialect or language in which these month-names are written? What did they know about stars?

Astronomical or Astrological?

It has become a widely prevalent habit, if an unfortunate one, to describe any knowledge of the stars as either astronomy or astrology, but the distinction is inappropriate for our purposes and for the period of interest to us now.

To observe that different constellations along the ecliptic occupy the mid-heavens in turn through the year is not astrology, It is simple observation of fact.

To mark the months by twelve of those constellations and call the twelve the zodiac is not astrology either. It requires no more than observation, without need for any knowledge of mathematics or of astrological methods. The labels themselves are not ‘Scorpio’ and ‘Cancer’ but ‘November’ and ‘July’.

In the same way, navigation by the stars is arguably the oldest human science, older than the first cities, and older than mathematics as a formal discipline. So too, it is not astrology to say that in November, when a certain constellation rises to eventually occupy the mid-heavens at night, ships should not venture far from shore. That’s the fruit of common heritage and observation.

When you invent a character for that constellation, one which has it looking at the ships with a hostile expression, that’s still not astrology; its popular lore. Associating a star or constellation with a place on earth can be, but is not necessarily, astrology either. As our default term, then, we use ‘astronomical’ keeping ‘astrological’ for cases where that purpose is clearly expressed by the internal evidence.

So – even granting, as a first possibility, that all the central emblems in the Voynich ‘calendar’ depict constellations which lie along the ecliptic – zodiac constellations – it cannot be presumed from that alone that the series of diagrams, or the series of its central emblems, had astrological purpose – unlike those split-month images we see in the  Très Riche Heures du Duc de Berry, illustrated above.

Indeed, we have had the opinion of two scholars, independent of each other and of Voynicheros’ influence – at least then – who have stated plainly that the diagrams in the Voynich ‘calendar’ are not astrological charts*.

*for details see earlier post D.N.O’Donovan, ‘Skies above – not astrological’, voynichrevisionist, (February 9, 2020)

In this same connection we remind readers, that shortly after publication of his great study’s* second volume, Fritz Saxl was asked by John Matthews Manly, who sent him copies of pages from the Voynich manuscript, to comment on them. Saxl replied, as so many eminent specialists have done when asked to apply their knowledge of medieval Europe’s history and art to this manuscript, that nothing struck a familiar chord.

  • Verzeichnis astrologischer und mythologischer illustrierter Handschriften des lateinischen Mittelalters. Vol. 1, Heidelberg: C. Winter, 1915, Vol. 2, Heidelberg: C. Winter, 1927, [Vols. 3 & 4, Meier, Hans, and Bober, Harry, and McGurk, Patrick.]

Lippincott’s ‘Saxl’ Project: hunting the November beast.

Led by Kristin Lippincott, the ‘Saxl Project’ is again concerned with collecting and grouping zodiac images, making pdfs of the material available through Lippincott’s website.

The Saxl project – Led by Kristen Lippincott and run jointly with The Warburg Institute, University of London. It has also benefitted greatly from previous collaborative research, which was carried out with Dr Elly Dekker of Utrecht University, between 1997 and 2007.

Among images collected to illustrate Scorpius are a few which show it drawn more like a lizard or a warm-blooded beast than a true scorpion. For us, at present, it matters less where these manuscripts are now or even when they were made, than the textual sources which were being copied in them, and Lippincott’s taking note of those sources (as most Voynicheros’ efforts have not) shows the source-texts are just three, all of which were known to some, at least, in Latin Europe before c.1350 AD.

One is a work written by a Roman of the pre-Christian era. The other two are medieval works written by Englishmen – one of whom never left England and rarely travelled beyond his monastery, and the other of whom studied in Paris, in Toledo, in Italy and at the Norman-Sicilian court.

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The Roman-era work is a primary-school level ‘crib’ called the Astronomicon Poeticon. It is popularly, if doubtfully, attributed to Gaius Julius Hyginus (c. 64 BC – AD 17). The first of the Englishman is Bede, whose authorship of De signis caeli is also widely doubted today, but the work itself is reasonably ascribed to the period in which he lived (673- 735 AD).

Only the third source is securely attributed and dated. That is Michael Scot’s Liber Introductorius, completed in 1228.

Scot is best known today for the time he spent in the Sicilian-Norman court, but Scot brought to that court what he had learned earlier, including proficiency in Arabic and in Hebrew, both of which were commonly spoken in the Sicily of his time. Scot’s studies included mathematics, astronomy and natural history. Together with Andrew the Levite, he had already translated in Toledo the text of al-Bitrūjī’s de motibus celorum.

  • ‘Critical Edition of the Latin Translation of Michael Scot by Francis J. Carmody’, review by Marshall Clagett, Isis, Vol. 44, No. 3 (Sep., 1953), pp. 280-281.

There has been little scholarly attention devoted to the iconography of Scot’s Liber Introductorius, and influences from older North Africa have been largely overlooked, as has his list of ‘Berber’ star-names and the full range of sources from which Scot worked. Apart from those still well-known, Scot refers to – but here let me quote Edwards:

Scot … mentions other authors [in addition to the most widely known] … such as the Tacuinum of Cleopatra, Isidore, Bede, Ambrose, “Alexander the Great,” Empedocles, Euclid, Hermes, Haly, loanton and Nemroth, Rasis, and Macrobius. He mentions the Tables of Toledo as being especially useful. He cites Pythagoras, Socrates, Cicero, Plato, Pliny, Cato, Galen, Jerome, the Sybil, and John of Spain.

Glenn Michael Edwards, ‘The Liber Introductorius of Michael Scot’, thesis (PhD), University of Southern California, 1978.

What this tells us is that, whatever the source of the astronomical information embodied by the Voynich calendar’s diagrams, the emblems used to fill the centres – and particularly November’s ‘beast’ – come from a source already known to Latin Europe before 1350 AD but which may not be a classic text or even one extant today.

We also have the example provided by diagrams in the astrological Libros del Saber to show that astronomical-astrological diagrams might later have central emblems added or created for them by later copyists. To paraphrase an earlier comment*: Diagrams in copies of the ‘Libros..’ differ from copy to copy, as one might expect, but the difference is so strongly pronounced in their central emblems that one has the clear impression each copyist was obliged to find exemplars for these details himself.

*made in connection with Panofsky’s assessment of the Voynich manuscript, as reported by Anne Nill, that “except for one page partly taken from Alfonso’s manuscript, [our manuscript] was entirely unlike any manuscript known to him.”

So at last the parameters for researching these two emblems are defined. Our initial focus will be on a period between 1350-1438 AD. We begin from the regions in which Occitan was written and understood. We do not presume astrological purpose. We allow for the possibility that the central emblems were added to, not obtained together with, their diagrams. We know there is a high probability that the central emblems, at least, were gained from some older source already known in the Latin sphere by no later than 1228 and possibly much earlier… and so now, to work.

Scorpius – ‘Labours of the Months’ series, Basilica of Sainte-Marie-Madeleine,  Vézelay (constructed 1120- 1150 AD). From its foundation until 1280 AD, the Abbey of Vézelay was affiliated with Cluny, of Burgundy. Founded in 910 AD, Cluny became the centre of an order of monks extending from England to Spain.

Postscript – Michael Scot and the Munich [M] source:

Speaking of an important Italian ms now Munich, Bayerische Staatsbibliothek, Ms CLM 10268, Edwards remarks that in the margin of folio 125C is a horoscope by Bartholomew of Parma, dated 1287, and that this “presents a terminus ante quem for the exemplar, since the paleographic evidence does not support so early a date for this manuscript”. He goes on to say of this source, described as M without quotation marks:

The script is a compact Italian book Gothic, the letters being quite square. The “M” is made of three very sharp minims, and the “A” tends to form two loops, with the top of the letter almost touching the bottom loop. M in addition uses both the upright and the uncial “D”. These are characteristics of the last quarter of the thirteenth century, but the use of the looped rather than the upright final “g” is indicative of the early fourteenth century.

In view of the fact that Italian hands changed so slowly, it is difficult to place them with accuracy. Yet the style of script will justify an ascription of the date to circa 1300 more readily than to any other. I have attempted to push back the date of the manuscript to 1287, and discussed the matter with Virginia de la Mare, Assistant Keeper of Western Manuscripts for the Bodleian.
In her view, the decorations and colors used in the illuminations are characteristic of those executed at Bologna from 1300 to 1310 and cannot justifiably be ascribed to an earlier time.

Glenn Michael Edwards op.cit. pp. x-xi.

Consider… Maths & memory Pt 1.

Four posts in one. Take your time. Hope to see you in a month’s time.

Afterword (Feb 7th., 2022) – Yes I *know* that Maur misunderstood the nature of that ‘squaring the circle’ problem. That’s rather the point and why I said ‘in a way’.. but that passage nicely illustrates three points (a) early medieval learning went from the accepted canon to consideration of the ‘pagan’ information, not vice versa; (b) the Psalter served as the primer in early medieval education and was the constant foundation and point of reference for building higher studies and finally (c) the mere existence, or possession, of a book doesn’t mean the book was fully understood by those who owned or had access to it – something as true for medieval as for modern times.

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One thing to emerge so far, while tracking use of the simple ‘4’ shape as a numeral – and we haven’t yet begun to track its use as an alphabetic form – is that, before the Voynich manuscript’s date-range of 1404-1438, it has been found only among the commercial and working classes of the south-western Mediterranean, and chiefly in the Majorcan kingdom with its Jewish cartographers and residents of certain maritime and trading cities of Italy – Venice not being among the earliest to show it.

Since that particular short-stemmed and angular ‘4’ shape, as a numeral, appears earliest in that region and it was also in the south-western Mediterranean that Kabbalism flourished among sectors of the Jewish population, in the thirteenth and fourteenth centuries, it is not surprising that there might be in matter now in the Voynich manuscript, as Erwin Panofsky thought, ‘something of Kabbalah’.

NOTE – throughout these posts I mean by ‘the Mediterranean’ the greater Mediterranean, containing all the waters from the Black Sea to Gibraltar. The ‘south-western’ region is defined as west of Sicily, between the coasts of Italy and of north-west Africa.

Nevertheless, aspects of the manuscript’s drawings and codicology make clear that wherever and by whomever the current content was put together to make Beinecke MS 408, much of the copied material originated outside the Latin domains.

I would hope that, in the third decade of the twentieth century, Voynich researchers will have no difficulty accepting a possibility which earlier Voynich writers found inconceivable – that is, that the manuscript may have no direct connection to those texts which for Wilfrid, Newbold, the Friedmans, d’Imperio and others moulded by nineteenth-century attitudes, defined the scheme of Euope’s intellectual history.

Fixation on ‘high culture’ as on ‘high society’ was for many decades a mental barrier to the manuscript’s proper study – and its effects linger. This is why (for example) no other form of art save manuscript art, nor any type of manuscript save in the official herbals was ever considered when attempting to read the Voynich plant-pictures, despite the fact that even within Latin Europe vegetable images appear in a variety of forms, from attempted naturalism to the fantastic and in media as diverse as stone, wood, embroidery, gem-engraving, and frescos.

Nor should we now, in the third decade of the twenty-first century, maintain another idea long outdated in historical studies – namely the idea that nothing foreign could enter Europe’s mental horizon unless some Latin went elsewhere, selected and ‘fetched’ it, or at least acted as a sort of customs agent at the gate of a non-existent ‘white-walled Europe’.

It is now well-known, if not widely admitted in works for the general public of Europe and America, that medieval Europeans were not rarely passive beneficiaries of information, ideas and goods conferred upon the west by ‘foreigners’.

Nominating some single Latin figure in the role of sole agent and gate-monitor has a long history in Europe. Nestorian Christian works, for example, were often attributed to one John of Damascus; Gerard of Cremona was (and still is) credited as if author of translations from Arabic, Hebrew and other languages though the translations are known to have been made by multilingual Jews and Muslims, and the same works to have been translated previously or subsequently without any such ‘monitoring eye’.

In this way, too, the English nominated Roger Bacon, and the Germans a semi-mythical ‘Meister von Kriechenland Niger Berchtoldus’ to substitute for the Chinese as responsible for Europe’s acquiring knowledge of how to make gunpowder.

The habit has been as consistent as it has proved persistent. It is solely to serve as such a ‘gatekeeper’ between Jewish Kabbalism in north Africa and the Iberian peninsula on the one hand, and the Latins of mainland Europe on the other, that Ramon Llull has been imagined as knowing anything of Kabbalah, and why – despite the testimony of Leonardo of Pisa that knowledge of Arabic numerals and their calculation-methods was already known in ports of North Africa from Bejaïa to Egypt, and “Syria, Greece, Sicily and Provence” in all of which (as he says) he studied it in connection with his family’s trade in eastern goods, Leonardo of Pisa (Fibonacci) is nominated sole ‘gatekeeper’ for the introduction of Hindu-Arabic numerals. The difference was that by producing a book about it in Latin, rather than in the vernaculars in which most ‘second-tier’ writings were produced, Leonardo’s ‘Liber abaci’ facilitated the establishment in Italy of specifically ‘commercial maths’ classes of the sort in which he had been trained elsewhere.

As one reviewer emphasised when reviewing an English translation of the Liber Abaci:

“Use of the advanced Hindu-Arabic system of numerals, [was] gained through Fibonacci’s commercial connections in North Africa and the Levant… It must be remembered that Fibonacci’s home city-state of Pisa had an extensive mercantile fleet operating in, and beyond, the Mediterranean to Byzantium.

A. F. Horadam [review of] “Fibonacci’s Liber Abaci”: a Translation into Modern English of Leonardo Pisano’s Book of Calculation by L.E. Sigler (Springer 2002).

If the hand which wrote that ‘4’ form in the Voynich manuscript was accustomed, already, to write the numeral in that way, the probability is strong that he (and ‘he’ is statistically more likely) is more likely than not to have belonged to a social and intellectual class beneath that of Latin Europe’s political and learned elites and to have had a direct link to the interests of those who were either engaged in the type of maritime trade that brought exotic goods (termed ‘spices’) from the Black Sea, Byzantium or ports of Egypt and North Africa, into Italy or, on the other hand, in naval service as was Michael of Rhodes.

In this context of multilingualism, sea-journeys, trade, exotics, favoured nation status and scripts, I think I should here again quote from a late fifteenth-century account that I quoted first some time ago when considering the possible implications of Baresch’s phrase “‘artis thesauros medicae Aegyptiacos”. In the present case it is especially relevant to note which maritime cities had favoured status in the ports of Egypt, and related issues of multilingualism and translation in such exchange. And, of course, resources for any possible alphabetic substitution cipher.

We have already seen how casually the author of one zibaldone refers to the trade in exotics from Alexandria as example for a problem using the ‘new math’ and Michael of Rhodes’ use of that simple ‘4’ shape for the numeral before 1440.

In Alexandria I saw four large fondaks [warehouses, Lat: thesauri], one for the Franks and another for the Genoese .. and two for the Venetians..

re: Misr [Cairo].I swear that if it were possible to place all the cities of Rome, Milan, Padua and Florence together with four other cities they would not, the whole lot of them, contain the wealth and population of Misr, and this is true…

In Misr there are many fondaks … a thousand and more warehouses in each fondak.. There is nothing in the world that you do not find in the fondaks of Misr…

If you ask how I could converse with the interpreter [when in Misr].. the interpreter is of Jewish descent and came to Misr to return to Judaism, because he is a Spaniard.. He knows seven languages – Hebrew, Italian, Turkish, Greek, Arabic, German and French.   ..

The Karaites’ script is different from all others, and they have not the letters ayin, he, aleph, or het, bet, tsade. .. {The Hebrew alphabet uses 22 letters; the Karaite thus only 16.]

from a Florentine ms. translated in  Elkan Nathan Adler, Jewish Travellers (801-1755), London: Routledge (1930) pp. 156- 208. cited passages p.162; 166-7; 171. First cited in connection with Voynich studies in D.N.O’Donovan, ‘ ” …thesauros Artis medicae Aegyptiacos” Pt1’, voynichimagery (blog), July 6th., 2013. The account is by Meshullam Ben R. Menahem of Volterra, in 1481 AD.

That account was given by a Jew of Volterra in 1481. The map below shows it in relation to Genoa, and to Florence, the cities with which the rest of this post will be concerned.

  • What is known from the records about the Jews of Volterra is reported in the Encyclopaedia Judaica under ‘Tuscany‘.

If indeed there is anything of Kabbalism in the Voynich manuscript, it is most likely to have come from the south-western Mediterranean and there is no necessity to explain its entering the Latins’ mental horizons by attributing any knowledge of Kabbalah to Ramon Llull. The reasonable explanation is that since Kabbalism was Jewish, knowledge of it was conveyed across the religious divide by Jews and was by them directly explained to a few Latins – willingly or otherwise – by refugees, corresponding scholars, Morescos and/or as newly-created converts serving as translators. The great wave of assaults against the southern, Sephardi Jews in 1391 finds a parallel increase in Jewish presence in Italy, Dalmatia and elsewhere.

An example may be in order before moving to consider the ‘commercial math’ classes in fourteenth- and early fifteenth century Italy and two Italians named Paolo, one of whom lived in the fourteenth and the other in the fifteenth century.

Example – Ha-Kohen and Lippomani, and a fifteenth-century hand.

We know, certainly, that one Italian ‘renaissance’ scholar living in Venice before 1430 wished to learn both classical Hebrew and the dialect of the Moriscos or Arabic-speaking Spanish Jews, the dialect known as Judeo-Arabic. We still have letters explaining the ‘grammar’ of Judeo-Arabic, the teacher being one Isaac ha-Kohen, a resident of Syracuse in Sicily and the student Marco Lippomani. A typically snide remark by Filelfo allows Kokin to date this exchange to a period before the 1430s; that is to the years in which the Voynich manuscript was made.

  • Daniel Stein Kokin, ‘Isaac ha-Kohen’s Letter to Marco Lippomano: Jewish-Christian Exchange and Arabic Learning in Renaissance Italy’, The Jewish Quarterly Review, Vol. 104, No. 2 (SPRING 2014), pp. 192-233.

Here again, I might mention that the form of the Voynich month-folios’ month-names was argued Judeo-Catalan by Artur Sixto. I quoted that comment which Sixto originally left at Nick Pelling’s ciphermysteries in an earlier post to this blog (here).

Script in a different fifteenth century Hebrew manuscript referenced by Kokin is shown below (n.114).

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Fibonacci and Commercial maths.

To illustrate how the influence of commercial maths schools would expand in parallel with the rising importance of the merchant classes between the time when Leonardo of Pisa produced his ‘Liber abaci’ and when the Voynich manuscript was made, I take the works od two men named ‘Paolo’. Born a century apart. both were mathematicians whose careers flourished in Florence.

The first was born in Datini’s city of Prato about forty years after Leonardo (Fibonacci)’s death. The other was Florentine by birth. He, being born in 1397 and living through the period when the Voynich manuscript’s vellum was made (1404-1438) is of especial interest for us.

This second Paolo died a year after that description was written of the situation for traders in Alexandria and Cairo.

Two men named Paolo.

The first would be known best by his nicknames: “Paolo dell’Abbaco” and “Paolo the Surveyor” but his name was properly Paolo Dagomari.

In early adulthood he moved from Prato to Florence where for many years he taught ‘business math’ classes from the Trinity church in Florence.

In this case, as in many others where the term ‘school’ or even ‘academy’ is used, it is wrong to imagine a dedicated building like a modern school or college. We should think rather in terms of adult education classes where all that is needed is a person willing to teach and a group of voluntary students – or more-or-less voluntary depending on their age and the degree to which parental wishes were law.

Dagomari’s students were merchants and their sons. His basic text, as his nick-name suggests, was probably the Liber abaci, and by 1374-5, when Cresques’ world map was being created in Mallorca, Dagomari died in Florence having become by then a close friend of Boccacio and having seen 65,000 students pass through the course he offered in his Trinity Church ‘school’. We know that Francesco di Marco Datini, by then resident in Papal Avignon more than fifteen years, had also gained his education in commercial math in Florence, but there is no doubt at all that Dagomari taught the son of Dante Alighieri.

That connection to Dante is significant, for Dante also addressed himself to that ‘second tier’ in society, writing in the vernacular and not in Latin.

Nonetheless, Dante’s imagined journey though Hell, Purgatory and heaven in the Divine Comedy is a navigator’s sky-path along those “high roads of the sea” (to use Majid’s beautiful phase, which saw seas above and below the horizon).

As Gunter reports, Dante included in an early copy a parallel list of of Latin and of the increasingly-used ‘Arab’ star names in order that – in Dante’s words – those without Arab instruments might still follow the paths.

It is in an early copy of the Divine comedy, one probably made in Genoa, that we find certain characteristics unusual for formal art in medieval Latin Europe, but which come close to how the ‘ladies’ are represented in the Voynich calendar and ‘bathy-‘ sections.

(detail) from Bodleian Library, MS Holkham 48 p.4. Place of manufacture given as Genoa or Milan. Dated 1350–1375 AD. The text is described as written in a ’rounded Italian gothic hand’.

Points of similarity seen in this particular detail and figures in the ‘ladies’ folios of the Voynich ms include over-large heads, and relatively slender lower limbs. The ‘renaissance’ view of the human body was still unknown to that draftsman but occasionally, in the Voynich manuscript, its later date and probable Italian provenance is evidenced by a copyist’s slip which sees an occasional figure drawn little more shapely than the rest, and more shapely that the figure ought to be.

The differences between images in that copy of Dante’s Divine Comedy and the Voynich manuscript would make long and tedious list – too long to be included here – but with regard to these bodies, an obvious difference is that in the illustrations for the Divine Comedy, the figures are to be read as ‘people’ albeit souls, and while some effort is made to avoid emphasising male genitalia, they are drawn – whereas they are not in the Voynich manuscript’s images. And while in one sense the Voynich ms’ anthropoform figures might be regarded as ‘star-souls’ and/or as the soul of a given place, there is no evidence of intention to have them represent specific people. Of course, in this, if the labels are ever read, it may be that someone at some stage did associate each with some historical character. We shall have to wait and see.

Overall, too, we have very different vocabulary of gesture in these two work, and a very different approach to use of the ‘speaking gesture’.

As you’d expect, images in western Christian manuscripts are saturated with western Christian Europe’s two great pre-occupations (one might say obsessions) – organising everything in the universe into hierarchical rankings and then defining any person, thing, or quality according to whether its assigned ‘place’ is higher or lower than that accorded another. Ask a learned medieval scholar whether composing music was a ‘higher’ or ‘lower’ activity than designing a building and he’d surely have an answer. The disease of ‘class consciousness’ in Europe was not limited to the usual social classes, but it would allow a musician to look either up or down on any architect to whom he might be introduced.

That the Voynich manuscript is so glaringly devoid of such signals in its imagery is one among the many indications that the origin of its content is owed to persons and regions outside the Latin Christian domains.

There are no royal thrones, no horses, no military uniforms (save perhaps one Roman or Genoese ‘kilt’ on folio 80v). There are no figures of clerics, nor of kings. There is not a single chair to denote the teacher, nor any throne to denote royalty. Such costumes as are painted over the figures belong to a late stage of their evolution, as is also true for the cross-topped Byzantine style crown given one of the ‘ladies’. But the most resounding absences are the halo and the horse.

It is those details which are not there which have, for a century, reduced persons attempting to read the Voynich manuscript’s imagery to speculation, imagination and theory-driven narratives, attempting to assert the opposite of what any external and dispassionate scholar would say, and that many have said, viz: that they’ve seen nothing like it in the corpus of western Christian works, including the medical and alchemical texts.

In the detail shown above, the figures’ gestures are more limited in range than those in the Voynich manuscript but do (of course) speak directly to the conventions of medieval Latin Christian art, signalling such sentiments as pleading, despair, grief, remorse for sin and so on.

Gestures in the Voynich manuscript are more energetic, and the figures differently adorned with veils and classical headdress, their gestures so far outside the set of those employed in medieval western Europe’s Christian art that their meaning is still, most often, expounded only from a writer’s imagination, rather than from results of any wider horizon in their research.

One among the very few exceptions to the ‘theory-first’ approach was Koen Gheuens’ investigation of where and when we find other examples of the ‘deformed lobster’ in Europe after about the thirteenth century. He did not attempt to discover any earlier instances or define its time and place of first origin.

Despite such things, that detail from the early copy of Dante’s poem deserves our consideration, because it appears in manuscript made during the period of interest to us (1350–1375 AD); is attributed to northern Italy and probably to Genoa, one of the major maritime centres of Italy at that time.

I am NOT suggesting any direct or indirect connection between content in the Voynich manuscript and Dante’s poetry. Such a scenario was espoused, as I recall, in about 2008 or so, since when Dante’s name as been often invoked, and then dropped, and picked up anew, and dropped again in that peculiar parentless style of Voynich theories. If you’d like to re-create the lineage for that idea, you might begin from references in d’Imperio, then search ‘ciphermysteries’ and from there go through the archives of Jim Reeds’ mailing list. Unfortunately, though Rich Santacoloma promised a couple of years ago to do the same for that mailing list since the early 2000s, he has not yet found occasion to do so.

Paolo dal Pozzo Toscanelli

Generally believed indebted to Dagomari’s mathematics, the Florentine Paolo Toscanelli belonged to a family whose members were ( I’ll quote the wiki biography) “traders in eastern luxury goods (‘spices’) and who thus traded regularly with north Africa, Egypt and the eastern Mediterranean”.

He offers one of the clearest examples of a bridge between commercial maths, surveying, astronomy, cryptography and theology and, in terms of Italian society, between the ‘commercial class’ and the rulers’. For a time he collaborated with the Genoese Gian Battista Alberti, a figure of particular interest for cryptographers so I hope readers will forgive another digression, this time to consider Alberti.

Born in Genoa in 1404, Alberti moved to Florence but his career developed late being suppressed until 1446 by the fame of Brunelleschi. Alberti, like his elder, worked chiefly for what one writer has called the “high bourgeoisie” and brought to bear the same practical and commercial mathematics on which the ‘abacco’ schools focused.

That the range included problems of mapping is evident from the nickname given Dagomari as ‘Paul the Surveyor’ and though our later example, Paolo dal Pozzo Toscanelli is usually described as a ‘cosmographer’, his wiki biography quite rightly says that “astronomy was a close science to geography at that time”.

We know that Toscanelli was also a competent cartographer, because in 1474 he produced a map which argued for a fairly easy run westwards by sea from Spain or Portugal to ‘Cathay’. What is fascinating about that map and the accompanying letter (the map itself is now lost) is not so much their influence on the rulers of Spain and thus on Christopher Columbus, but that Toscanelli speaks of having had access not only to Ptolemy’s works but to those of the Phoenician ‘Marinus of Tyre’ – the original source which, as Ptolemy himself says plainly that he had simply edited and updated a little. Could Toscanelli have meant it? Was there still to be had a copy of the original work in Greek or in translation?

Practicalities.

Ever since Wilfrid Voynich presented the public with the manuscript and his own imaginative description and ‘history’ for it, the attitudes and assumptions of cryptographers have greatly influenced both how the manuscript was imagined and what approaches have been taken in attempting rightly to read both its written- and its pictorial text.

It is perfectly normal and understandable – part of standard method – ift a cryptographer should consider any text as a source from which to extract a body of quantifiable data, and then to engage in a process of creating a theory and considering nothing but that theory and how well it suits his or her data-base. It is natural for the cryptograper to presume a written text deliberately made opaque, and to presume that ‘underneath it all’ there should be a nice, clear literary ‘plaintext’.

Unfortunately, once the Friedmans had effectively co-opted the manuscript’s study and assumed all other sorts of research inferior and thus necessarily at the service of their own, they created a model which not only proved fruitless in their own case, and despite 30 years efforts, but has proven equally fruitless when adopted at large by Voynich theorists who were not concerned with the written text or issues around cryptography.

The lack of balance in Friedman’s attitudes – towards the manuscript and to the work of specialists in manuscript studies, as in the history of western art – continues to affect approaches to the Voynich manuscript to this day and is particularly noticeable within that ‘bible’ of the Voynich traditionalists, Mary d’Imperio’s Elegant Enigma.

It became the norm, from the early 2000s, to behave as if not only the written part of the Voynich text were ‘encrypted’ but as if everything in it were.

The cryptologists’ method was then generally adopted, that is, of first hitting on a ‘theory’ – a speculation as desired solution – and then hunting for ways in which to present that speculation as being sufficiently supported by evidence (evidence sought only within the parameters of that speculation) to deserve description as ‘plausible’ by persons who had no greater knowledge of medieval manuscripts, art, cryptography or scripts than did the person attempting to be voted ‘right’ as if by simple-headcount, social-media style.

It has not been so much as case of the blind leading the blind as of researchers first selecting a set of blinkers and then congregating according to the colour of those blinkers.

Much baseless ‘doctrine’ has resulted on the basis that it’s “widely accepted”, to the point where I was present when the edict went out (as the usual authorative-sounding but anonymous ‘meme’) that it was ‘unnecessary’ to consider any sources save fifteenth century German manuscripts.

On another occasion, the ‘meme’ asserted, in effect, that a scholar’s whole body of research might be ignored because they hadn’t made enough wisecracks.

In a very small way, I can see what that last meme was about.

Whatever their flaws and historically-inappropriate assumptions and limits, the cryptologists never treat the text casually, or produce theories to suit a popularity contest – tossing off nonsense with a gay grin and self-deprecating wisecrack.

On the other hand, I wish they would lighten up a little and give more thought to the ordinary experiences of people in the medieval world. You don’t need to find clues to Alberti’s creation of his cipher-wheel by turning to high society and theology, to Ramon Llull or Kabbalah, to understand how such an idea might have occurred to him. Why should he have had it from anyone else, or anyone in particular?

The underlying principle of such ‘revolutionary’ things as gridding maps ‘by the Rose’, diagrams associated with Kabbalism, developments in Italian architecture which brought fame first to Brunelleschi and then to Alberti, or indeed Alberti’s wheels are fairly simple and embodied in activities as old as human settlement. In this case, the construction of things formed as domes, or as globes.

Alberti didn’t have to know Llull, nor Llull to know anything of Kabbalah, though architects might well need to do, as Alberti did, and see how the dome-makers of Hagia Sophia work out problems of load-bearing and materials.

Dome, and domes composed of lattice work are still made today, just as they were in ancient and even in prehistoric times, but especially where it was important to keep watch over ripening crops.

This is how it’s done. In an area where some plant grows that produces long, flexible stems or branches, you cut and make a pile of them.

Then you trace a circle on the ground and, at regular intervals around one side, press a withy or ‘wand’ firmly into the ground. That’s the wand’s rising point.

Now, directly opposite each, around the other curve, you insert the free ends.

The lattice-pattern will appear as shadows on the ground so encompassed. At night, within the shelter, you will see the heavens ‘gridded’.

Of course, you can the cover the basic lattice, if you like, with whatever you like – fabric adorned with stars and stretched out as a tent, or something more substantial such a pise or plaster. It is not co-incidental, I think, that domes from China to the far west were customarily painted with images of the night sky.

The example shown below was made of willow wands in modern-day America.

If you need something placed at a given point around the ‘horizon’, you can nominate each space or each point with a letter, or a number, or the name of a real place on earth or (by the example of Majid’s compass-rose) by the names of stars.

But if such a dome is meant to evoke, or to represent the heavens as a dome, the question then naturally arises about how the points of that circuit actually connect with the initially matching points about the earthly horizon, when earth is imagined always stationary yet the sky perceived as wheeling over it, year by year.

As a mathematical and surveyor’s problem, that one is among the meanings embodied in this famous image of Roger Bacon.

Bust of Roger Bacon in the Oxford University Museum of Natural History. Photograph taken by Michael Reeve 2004.

Any such problem, expressed algebraically, must begin by having one specific unknown position defined as ‘x’. What Alberti’s wheel does, in effect, is have a series of circular points of correspondence defined not as a series of ‘x’s, but as a pair of alphabetic series.

I’m not saying that this was the original purpose of Alberti’s ‘wheels’ – I’d be more inclined to think that as a mathematician his interest in ‘unknowns’ had allowed his attention to shift from purely mathematical ‘unknowns’ to issues of encrypted documents.

My point is that there may be immediate and very practical observations, rather than reliance on important figures of European history, to explain his development of those cipher-wheels and much else impacting on ideas about the Voynich manuscript – such as that the imagery must be illegible in terms of western European conventions because deliberate made obscure rather than – as I hold to be the case – because it didn’t spring from those traditions in the first place.

By the middle of the fifteenth century, the construction of domes and the idea of ‘significant number’ were both hot topics in Florence but as you see, the basics of Brunelleschi’s famous dome in Florence are pretty much the same as the rural domed shelter which country-people everywhere have been making – and I’m speaking literally – from before the first cities were built. What made their monumental versions different was an ability to do the math.

The death of Brunelleschi in 1446 brought to the fore Leon Battista Alberti (1404-1472). Like Brunelleschi’s, Alberti’s career had long been delayed…

*Franklin, N.J., Borough schools, ‘Architecture of Brunelleschi and Alberti ..’ (pdf). I reecommend this as a very good first guide to works of Brunellleschi and Alberti online as a pdf, but one worth reading even if you’re well acquainted with their work.

And so, back to Toscanelli..

He appears in a Florentine fresco placed beside the ‘Greek-Syrian’ neo-Platonist Marsilio Ficino – one must always place close attention to the headwear given figures in Latin Christian art.

Here, Toscanelli wears the head-dress of a ‘Moresco’ and his facial features appear to have been painted so as to suggest to emphasise foreign and/or Jewish antecedents. ‘Moresco’ was a termed used, as said above, to describe those Spanish Jews who still spoke and read Arabic, and/or such dialects as Judeo-Catalan or Judeo-Occitan.

I can’t compress Toscanelli’s story better than did the author of one wiki article:

Thanks to his long life, his intelligence and his wide interests, Toscanelli was one of the central figures in the intellectual and cultural history of Renaissance Florence in its early years. His circle of friends included Filippo Brunelleschi, the architect of the Florence Cathedral, and the philosopher Marsilio Ficino. He knew the mathematician, writer and architect Leon Battista Alberti, and his closest friend was Cardinal Nicholas of Cusa—himself a wide-ranging intellect and early humanist, who dedicated two short mathematical works in 1445 to Toscanelli, and made himself and Toscanelli the interlocutors in a 1458 dialogue titled On Squaring the Circle (De quadratura circuli).

wiki article, ‘Paolo dal Pozzo Toscanelli’

In one sense, ‘squaring the circle’ was not a ‘modern-ancient’ problem but one long addressed and resolved in terms of Christian theology in the west.

It was precisely how Rhaban Maur had managed to introduce ‘pagan’ Euclid into an extremely conservative monastic environment during the ninth century. His copy of Euclid had probably arrived with a recent Nestorian embassy from Baghdad, the same eastern Christians having only recently translated it into Arabic.

In what follows, I’m not only quoting matter I’ve quoted in treating the Voynich manuscript, but which I’d quoted even longer ago in connection with other medieval European images, but since I can’t just collapse the text and make it optional, here it is.

—–

Maur began by formulating the quaestio, or problem by setting it as a problem about interpreting the Psalter correctly. Thus he begins,

“It is well that we should enquire what the Psalmist means by the circle of the earth and why, in several other places, he says that the earth is comprised of the same figure. On the other hand, in the 106th Psalm [Vulgate numbering: Ps cvii.3] he comprises the earth under four cardinal points… A very similar statement appear[ing] in the Gospel where it says: He shall send his angels with a great sound of a trumpet and they shall gather together from the four corners of the earth”

and so, having made Euclid an aid to theology, Maur continues:

Whence it is fitting to enquire how far the quadrate and circular shapes of the earth can agree, when the figures themselves, as geometricians maintain, are different. The Scriptures call the shape of the earth a circle for this reason: because to those who look at its extremity [i.e around the horizon] it always appears as a circle. This circle the Greeks call a horizon [a word meaning ‘belt’ or cord], signifying that it is formed by the four cardinal points; these four points signify the four corners of a square contained within the aforesaid circle of the earth.

Maur understands the horizon line as a knotted cord, resembling a monk’s waist-cord with its knots, and akin to the surveyor’s measuring-cord, also knotted at intervals and worn in the same way about the waist when not in use. But the geometric figure Maur has just begun to describe is the ancient figure for the world in microcosm. He suggests as much, speaking of the ‘Eye’ as simultaneously urbis (city) and orbis (orb/circle).

So then, taking East as his primary point, just as medieval Europe’s mappamundi did, but as Cresques’ map and the Voynich map do not, Maur locates the heart of the world as the microcosmic ‘city’ saying:

  • For if you draw two straight lines from the East, one to the south and one to the North, and in the same way also draw two straight lines from the Western point, one to each of the two aforesaid points, namely the south and north, you make a square of earth within the aforesaid circle. How this aforesaid square (demonstrativus quadrus) ought to be inscribed within the circle, Euclid clearly shows in the Fourth Book of the Elements.”

And since I’ve been once more obliged to quote from my own work I’ll add here two images which I included in a post published at voynichimagery in 2017. Details of my source, which was not speaking about the Voynich manuscript, were given at the time as seen in the images below. Today, however, that address is no longer current, though the second image (still dated October 25th., 2012) can be seen, with commentary, at luwanarch .wordpress com. This is how Alberti mapped Rome.

Again, about methodologies and Voynich research –

Between 1912 until 2012 or thereabouts, the most commonly seen approach, among those hoping to ‘solve’ the manuscript was to ignore the codicological evidence, the palaeographic evidence, the materials’ evidence, all earlier independent specialists’ opinions, and interpret the images only if and in a way compatible with their initial theory, often a theory naming some prominent European as ‘author’, effectively re-defining the manuscript as a slab of written text, which despite being lavishly illustrated, was all designed by one mind to deceive.

The common practice of ignoring the manuscript’s own testimony in favour of promoting a Voynichero’s pet theory reached its peak of absurdity about three or four years ago, when another of those borne-on-air sort of memes asserted that, since the written part of the text was also now to supposed a mere nonsense – a joke of some kind – that thus might also be treated as being quite as ‘irrelevant’ as the manuscript’s images, codicology and palaeography, so everyone should just adopt one of the most promoted theories as if it were of more substance than the manuscript itself.

It’s no wonder that Beinecke MS 408 needs its few friends. Who in the world would put up with such treatment being accorded the Vienna Dioscorides, or the Book of Kells, or any other important and apparently unique manuscript?

After which grumpy remark, I propose we adjourn for now.

Gd and the weather willing, I’ll be back in 3-4 weeks’ time.

Consider this.. (cont.). Numerals, networks, Spain and something of Kabbalah.

This post is almost 2800 words.

The earliest close examples of an upright ‘4’ numeral noted so far come from Florence at the beginning of the fourteenth century and then in Cresques’ great pictorial compendium of 1375, which includes various diagrams and a great worldmap, gridded by the ‘rose’ and containing what is still the first known inset ‘compass rose’ (see further below).

Contrary to what you might find said elsewhere, Cresques’ map is not a ‘mappamundi’ and its connection to the rutters or ‘portolans’ is certainly debateable, given that the same notion was rejected on technical grounds as early as the mid-twentieth century.

The recent, astounding assertion by one writer, on a nicely presented and official looking website was that Cresques had all his information from a couple of northern European Christian missionaries and that is surely pure invention. The sources of Cresques’ inscriptions for that map are already known, and include sources such as Ibn Jubayr’s journeys and the Alf Layla wa Laya. Allusions are also made to Jewish legends, such as that Noah settled north Africa after the flood and began viticulture again from there.

One cannot now discover how that modern author came to entertain the ‘Christian missionaries’ notion, for he died during the pandemic and I know only that he claimed some connection to the Central European university of Prague. With both authors of that project now lost, the translation of all the labels into English may be stopped or at least halted for the foreseeable future, but we do not have to rely on that material to consider the problem of the ‘4’.

IN the same way that Genoa was under Milanese control by the time the Voynich manuscript was made, so it was with two more of the four once-independent Italian maritime states.

Amalfi had earlier been taken by Pisa (August 6th., 1136) and in 1406 Pisa itself was taken, by stealth, by the Florentines. Amalfi had been absorbed into the Kingdom of Naples during the late fourteenth century.

Oddly enough, Florence did not develop Pisa as its maritime arm, but on the contrary suppressed the naval activity of both Amalfi and Pisa.

The significance of Florentine control of Pisa, Neapolitan control of Amalfi and Milanese rule in Genoa, is that direct political power meant access to all technical secrets, skills and any system of ciphers earlier held exclusively by the neighbour. Trade secrets were treasure then, just as now.

When we find the ‘4’ form appear briefly in Florence, early in the fourteenth century, within a copy of the Pisan ‘Liber abaci’ we know the exemplar might have been a local copy, or an earlier one acquired directly from Pisa or indeed from Amalfi, noted for its schools of mathematics. The best copies were known to be ones closest to the date of composition.

It should be noted here too that (to quote an online tourist site) “by about the 1230s Amalfi became one of the first locations in Europe to produce paper…. [which] was soon sold all over the Mediterranean. Paper making continued as an important local trade throughout the Middle Ages and Renaissance.”

My own view of the ‘4’ numeral’s history, at present, is that we shall probably never know absolutely who first wrote the numeral as ‘4’ in Europe and that if there were a single key to the problem it may well have been lost in 1343, when a tidal wave obliterated Amalfi’s harbour and lower town, ushering in a period of decline from which the town never recovered. It s relevant, in my opinion, that all four – Genoa, Amalfi, Pisa and Venice had allotted quarters in medieval Constantinople. (see interactive map by Saffran and Nicolescu)

However, we may still regard Amalfi or Genoa as likely to have brought that ‘4’ form to Italy, because of a demonstrable connection between those maritime states and Cresques’ great work.

The semi-legendary Amalfitan surnamed ‘Gioia’ is popularly credited with having first placed a magnetised needle over a diagram of the western wind-rose and enclosed all in a glass-covered box. Properly, that was not the ‘compass’ but the bussola (buxula), and the true navigational compass (as qumbas) the eastern navigator’s ‘rose’ whose points were named for stars. In my opinion it was in that sense Cresques describes himself as ‘master of bussola and compass’. The islands of Majorca and Minorca were remarkably cosmopolitan at that time and Arabic had been the island’s official language until just 70 years before. What is more, the original ‘Barbary’ pirates of the north African coast around Sicily, who were Berber and Arabs, are said by Ibn Majid to share the same skills and know-how as he – an Arabs master of the eastern seas.

Seen in daylight, Cresques’ great worldmap shows the world below, but at night with no illumination save a few candles what one sees is as if a veil scattered with golden dots were laid over the darkened world. Makers of terrestrial maps and marine charts also made maps of the heavens. Bussola and qumbas.

You may think such technicalities aren’t needed here but, as I first discussed some years ago in the course of providing a detailed analysis and commentary for the Voynich map, there is a precedent for Cresques’ inclusion of his ‘angel of the rose’ and for his map’s mirroring along its centre line. I won’t elaborate on the last point here, but refer again to the fourteenth century Genoese cartographer, Pietro Vesconte (sometimes found as ‘Vesconti’).

In one of his ‘rose-gridded’ charts, composed in 1311 1318 – that is, about or shortly after the time of that Florentine ‘4’ – there is another faint allusion to the same motif found in Cresques’ work and in the Voynich map and in all three cases – that is, the Vesconte carte marine, Cresques’, and the Voynich map, the motif of its ‘surveying angel’ is even placed within the same – north-west – quarter.

Note (added 5th. Dec. 2021] Pietro Vesconte’s date of birth is uncertain, but he is described as ‘flourishing’ c.1310-1330. Genoese by birth and education, his earlier charts and maps were produced there, but most of his extant work was produced in Venice.

This is less obvious in the Voynich map because it presents with its east and west reversed from the European norm. Western custom permits such east-west reversal with a constant North only in literal representations of the night sky.

I apologise to long term readers for again repeating points first made by me and in research published before 2020, but some of that research was treated as if its conclusions were just ‘an idea’ to be imitated, and its illustrations to be re-used without their context – so what was ‘lifted’ by the imitators was invariably – perhaps inevitably – badly mangled, and has never been well used by Voynich theorists and so must be repeated here. I regret having to deface the illustration for the same reason.

(left) detail from the Voyich map, its North-west roundel (upper right) detail from Abraham Cresques rose-gridded world-map, its north-western quadrant; (lower right) detail from a chart by Pietro Vesconte (sometimes found as ‘Vesctonti’, its upper-west corner). From the 1318 Vesconte atlas (Museo Correr, Venice)

and so, again..:

Since I have already said that the final recension of the Voynich map should be dated to c.1350, with our present copy dated to the early fifteenth, I think here again we may narrow the environment for the ‘4’ shape as numeral and, just possibly its use in the Voynich manuscript, to the specific environment of calculation and geometry gained in service to navigation and trade.

In other words to apprenticeships and the ‘abaco’ school rather than in schools offering a more literary, theoretical or philosophical education. More evidence may demand that opinion be altered, but that’s where I stand so far.

It might even be that the Voynich ‘4’ shape is meant in the manuscript as a numeral, even if also used, or originating, as an alphabetic sign, though I should be wary of assuming that the Voynich script’s other glyph of similar form – that with a more curved ‘eye’ – is necessarily to be read as it is.*

*a question I’ve not ever looked into, but which arises from time to time, is a possible origin for the ‘Cistercian’ numerals in a version of Syriac script. See later note on a mixed alphanumeric system.

For those who enjoy the slog of using pictorial archives of kind typified by the Index of Christian Art (as was), it might be fun to see what else turns up for ‘4’ in European sources around 1300.

In any case, the story which puts Leonardo of Pisa and his ‘Liber abaci’ centre stage is an over-simplified one. That story’s short version runs something like ‘Arabs brought the Hindu numerals westwards. Leonardo (‘Fibonacci) saw them, and brought them to Europe’.

But Leonardo didn’t use that ‘4’ shape. His relevance to our present problem is rather the pattern of his travels, which illustrate nicely contemporary networks of trade and travel.

The Pisan Leonardo first learned Arabic numerals in a major Berber-speaking city of North Africa, during the last decade of the twelfth century. His sobriquet ‘the traveller’ was well earned.

Fibonacci states that his father wanted him to stay and be taught “for some days” in a “calculation school” in Bejaïa, where he was introduced to the “art [of calculation] by the nine figures of the Indians”. The knowledge of this art pleased him so much that he learned all he could about how it was studied in Egypt, Syria, Greece, Sicily and Provence when going there for the sake of trade.

So there it is. Those ‘Indian’ numerals were already known in Greece, in Sicily and in Provence before the end of the twelfth century. I’ve used the quote only so I can reference:

  • Charles Burnett, Numerals and Arithmetic in the Middle Ages (Variorum Collected Studies Series CS967) 2010.

There were especially close ties between Pisa and Béjaïa during the twelfth century. In c.1350, it was rather with Tunis and Cairo that the Venetian traded who wrote the zibaldone now Beinecke MS 327.

Béjaïa, formerly Bougie and Bugia was by Roman times known as  Saldae.    Béjaïa is still among the centres where the Berber language Kabyle is in daily use.  

Poor Ramon Lull would arrive in Béjaïa during the early fourteenth century (in 1314) as an 81 year old Dominican friar hoping to make converts to the Latin Christian church. He was dead within a twelvemonth, though accounts of his death differ, some saying he was executed for trying to persuade Muslims to become apostates to their faith – something prohibited in every region under Muslim governance as indeed it would have been in regions under Latin Christian governance had the reciprocal occurred.

Other accounts have Llull dying on the ship returning him to Majorca.

——-

Correction. (December 15th., 2021).

I see that my sources are out of date, superseded by an updated (Feb.2021) entry in Stamford University’s Encyclopaedia of Philosophy, where it says that Llull did not enter the Dominican order, nor the Franciscans’ and gives the following account of his fruitless trip to Béjaïa.

‘De vita’ narrates this trip in detail. Llull spent most of the time in prison. Instead of seeking to meet intellectuals, as he did on his first trip to Tunisia, right after disembarkation, he went to the main square and harangued passersby and anyone present at the time. The crowd was infuriated, and Llull was placed under arrest. The authorities questioned and imprisoned him. He would stay there for six months, receiving visits from sages who sought to convert him to Islam. He was later expelled from the city, but his hardships would not end there. His ship sank on the trip back to Genoa, but Llull and another passenger managed to survive by reaching the coast. He would then remain in Pisa, where he would finish texts he had previously began writing, such as ‘Ars generalis ultima’.

——-

Llull has his place in western Europe’s history, but unless one of his works contains examples of Majorcan-Florentine ‘4’ he is less relevant to our present question than the more congenial, secular, interactions between Berbers, Jews, Arabs and Italians before 1300, including within the naval, commercial and cartographic schools.

Voynich writers interested in the possibility that the Voynich ‘alphabet’ may be composed of elements taken from a number of other systems may be interested in an account of the invention, during second quarter of the twelfth century, of a new mixed system of mathematical notation.

Burnett writes:

*Charles Burnett, ‘The Semantic of Indian Numerals in Arabic, Greek and Latin’, Journal of Indian Philosophy, Vol. 34, No. 1/2 (April 2006) pp.15-30. [JSTOR]

 For those who’d like to see what Greek script of the fourteenth century looked like, here’s a detail from a Greek fourteenth-century map in Codex Vatopedinus 655.

“Europe gained its numerals from the Jews”

“The Jewish community… reconstituted in 1306” from ‘Amalfi’ in the Encyclopaedia Judaica JVL online. 2005.

As early as 1891, when European scholars were just beginning to enquire into the history of the forms for their numerals, it was already being accepted as fact that they had come from Spain. (See for example the off-hand “or rather, from Spain” in a review published in the Scottish Antiquary (Vol. 6, No. 22, (1891) p.54).

But even more unexpectedly, an association was made with Kabbalah as early as 1839!

I’ve just learned the last fact thanks to Phineas Mordell’s meticulous documentation of his sources and precedents in a very brief note of 1925. For its historical value, I’ve reproduced this note in full.

  • Phineas Mordell, ‘Note on the Theory of the Kabbalistic Origin of “Arabic” Numerals’, The Jewish Quarterly Review, Vol. 16, No. 2 (Oct., 1925), p. 207.

Of course it is possible that by 1932, Erwin Panofsky had read one or more of those sources listed above, or even an article published late in 1931; in addressing Friedman’s list of Questions more than twenty years later, Panofsky mis-remembered the year in which he’d seen the manuscript – writing ‘1931’ when it can only have been in 1932, as explained in an earlier post.

  • Solomon Gandz, ‘The Origin of the Ghubār Numerals, or the Arabian Abacus and the Articuli’, Isis, Nov., 1931, Vol. 16, No. 2 (Nov., 1931), pp. 393-424.

Panofsky was never so vapid as to mistake for an ‘idea’ the conclusions of genuine research, nor was he obliged to parrot others’ assertions for want of ability to form balanced and well-informed opinions of his own – but he may well have read one or more of those articles for the same reason that G.F. Hill wrote his monograph (see previous post) that is – to assist in accurately provenancing artefacts and quickly identifying fakes.

I think Panofsky could have known those precedents- not that he would say anything of the sort unless it were suggested to him by aspects of the materials, pigments, imagery and vellum which he observed during the two hours he spent studying the manuscript itself. But now to that list of things observed we may add (with a query) the form of one or more of the Voynich glyphs – perhaps even the ‘4’. We don’t know. All we do know is what some long-term readers of my blogs probably know by heart now, but for newcomers..

Panofsky’ freely-given opinion was given to Mrs. Voynich and Anne Nill, the latter soon reporting it in a letter to her friend, Herbert Garland. She wrote*

“he is convinced that the MS. is Spanish (or something southern near Spain) and shows strong Arabic and Jewish influences. He thinks there is some influence of the Kabbala in it.!!!!!

**for details of Nill’s letter, see the transcription made by Rich Santacoloma which I believe was the first published transcription. See his post. ‘Anne Nill speaks‘.  For my earlier comments, in this blog, about the letter and about Rich’s thoughts see here. 

To the question,  ‘What exactly had Panofsky seen in the manuscript which led him to mention Kabbalah’? I never did find a clear answer, and ran into unexpected difficulties, such as the lack of modern scholarly articles about the medieval commentaries or even modern translations of those commentaries that I could quote in an English-language blog.

As with many other research questions, one sometimes has to leave a problem aside for a time, until new information or pure serendipity offers a way forward.  Very recently, a single article in n online journal has explained the apparent barriers and, quite incidentally, offered a line to another and quite different question that I’d laid aside pending better information. I’ll try to get to that journal article in the next post.

For a short comment and an initial bibliography for the question of any influence from Kabbalah in Beinecke MS 408 see  (Post #15). 

With this question, as with the history of European forms for its numerals and most other fields of historical research, the public’s idea of a positivistic ‘forward march’ is deceptive.

Very often a study moves over time more like a pretty complicated sort of quickstep, involving  not a few trodden toes, losses of direction and ‘excuse-me’ interruptions, backwards moving which takes one forwards and some few straight-forward passages.  In the history of European numerals, for example, there was a period in the 1950s and in America, where the story was badly misdirected by an ideological fixation on the Babylonians and a transmission-theory gone berzerk.  As example, here’s one such paper, though if you don’t feel like reading it all, here’s a taste of that author’s ‘commonsense amateur theory’ approach.

… a casual inspection of the Arabic numerals suggested that these symbols might have evolved from forms such as are shown in Fig. 10, hereafter termed Ancestral Arabic numerals. It is evident that they are a variation of the Prototype numerals which the writer later derived from hand-signs, and still later discovered had been widely employed..

from: W. Clyde Richey, ‘On the Origin and Development of the Arabic Numerals’,  Proceedings of the Pennsylvania Academy of Science , Vol. 26 (1952), pp. 134-146. [quote shortened .. 5th Dec. 2021]

Not ‘handsigns’ but methods of finger-calculation may, in fact, prove relevant to our efforts to read Voynichese.

But I digress.

When quite early insights are overlooked or shrugged away in favour of worse ones, as happens more often than laymen suppose, it is also true that they may be recovered or re- discovered again later thanks to properly documented work in the meantime, or because the sum of historical evidence requires it.  

As example, here’s Charles Burnett, writing in 2006, and after years of close study of the question…  and evidently arriving at a view held by at least one person in 1891, in Scotland. 

One can observe, too, that, during the course of the twelfth century, alternative forms of the Indian numerals dropped out of use, especially the ‘eastern forms’ which were briefly shared by Arabic scholars in the Eastern Mediterranean, Greek scholars, and Latin scholars in Italy. The forms which drove out their competitors (in my view) were developed by scholars in Toledo, and quickly spread to northern Italy, where they were used by Fibonacci. (p.21)

  • Charles Burnett, ‘The Semantic …’ op.cit

except for that form of ‘4’, which Fibonacci did not use….

(detail and enlargement) Brit.Lib. Burney MS 275 f. 334

MS Burney 275 is described as

Scholastic miscellany, Central France (Paris), 1309-1316. Priscian, Cicero, and Pseudo-Cicero, Boethius, Aristotle, Euclid, Adelard of Bath, Ptolemy, translated [nominally – D.] by Gerard of Cremona.

Note – after some thought, I’ve altered the spelling of the Genoese cartographer’s name from ‘Vesconti’ to ‘Vesconte‘ as less likely to create confusion with the Milanese Visconti family, though researchers hunting secondary sources should search both versions of Pietro’s name.