Plato, Mathematician and Myth-Maker

Pisano, Giovanni, 1240?-1320?. c.1284. Siena Duomo: det.: Plato. Place: Museo dell’Opera del Duomo (Siena, Italy). https://library-artstor-org.proxy.library.nd.edu/asset/ARTSTOR_103_41822000532257.

The Republic, The Symposium, The Phaedrus, The Apology, and The Phaedo––these are just a few of the works of Plato that were not widely available throughout most of the Middle Ages. No extended depiction of the most just city in the Republic. No discussion of love in The Symposium and The Phaedrus. No self-defense for Socrates at his trial as found in The Apology, and no final dialogue before his suicide as found in The Phaedo. For lovers of great texts, especially Plato, such news can be shocking. What kind of Plato does a person know if they don’t have these key works? How much of Socrates’ life and Plato’s philosophy could even be known? These are the questions that many medieval scholars of the Latin Platonist tradition have dedicated their lives and careers to answering, and the answers can be quite surprising.

One aspect of this research that ought to be appreciated by the wider reading public (outside of the narrow confines of medievalists) is that Plato’s Timaeus wasthe most widely available Platonic work throughout most of the Middle Ages. In fact, examining the text of the Timaeus and why itwas such one of the few Platonic texts preserved reveals how peculiarly modern our current canon of Platonic literature is.

What we value in Plato was not necessarily what late antique or medieval readers valued, and yet, their ability to read well meant that they understood a lot more than might be supposed. An attention to the reception history of Plato’s Timaeus can give modern readers of Plato a better appreciation for the importance of both mathematics and poetry in Platonic philosophy.

The Timaeus is Plato’s work on the origins of the universe. It begins with a dialogue between Timaeus, Socrates, Hermocrates, and Critias, in which Socrates expresses a desire for a “moving image” of the city they had been talking about the day before. The summary of the previous day’s discussion appears to bear some resemblance to the conversation found in the Republic although scholars are divided over whether this summary perfectly matches the Republic that we now possess. Regardless of its accuracy, this summary would have been the closest a medieval reader would have had to a taste of the Republic. The opening dialogue covers all sorts of fascinating topics from Solon’s visit to Egypt, oral culture, the mythic origins of writing, and the myth of Atlantis, but the bulk of the work features a narration about the origins of the universe recounted by the Pythagorean, Timaeus.

The Timaeus was received in the Middle Ages through three main channels of Latin translations: the translation of Calcidius (which ends at 53b), the translation of Cicero (available but not widely used or even known, which ends at 42b), and the excerpts from the Ciceronian translation of the Timaeus that can be found in Augustine’s City of God. Although it does not contain the whole text of the Timaeus, Calcidius’ translation is much more complete than Cicero’s: rather than giving merely the speech of Timaeus like Cicero’s translation does, it includes the opening dialogue (even though the commentary itself ignores it).

Most modern Plato scholars would probably not choose The Timaeus as theone and only work they could save from destruction for all time. But, a better understanding of who Calcidius was and why he wrote the commentary on the Timaeus suggests that the preservation of the Timaeus in the Latin West was not an accident of fate. Rather, the results of Gretchen Reydams-Schills’ lifelong study of Calcidius give a plausible reason for why Calcidius’ commentary may have been the Platonic work of choice for many late antique philosophers.

Reydams-Schils argues that Calcidius wrote his commentary as an introduction to the Platonic corpus, essentially reversing the Middle Platonic curriculum, which traditionally ended with the Timaeus. One major piece of evidence for this theory is that Calcidius’ commentary often reserves discussion of harder philosophical concepts for the end of the commentary.Furthermore, unlike the Neoplatonists, Calcidius did not read the Timaeus synoptically and believed strongly in the importance of sequential reading of the Platonic corpus. In Calcidus’ Platonic curriculum, the Timaeus came first with its teachings on natural justice, then the Republic with its teaching of positive justice, and finally, the Parmenides came with its teaching of the forms and intelligible realities. Calcidius believed that a thorough understanding of mathematics was necessary for understanding of almost all of the Platonic works, which is why his commentary on the Timaeus turns out to be something like a crash course in Pythagorean mathematics.

Thus, although the Timaeus was one of the only Platonic works available throughout the early Middle Ages, Calcidius’ commentary gave readers some introduction to the entire Platonic corpus as well as a great deal of Pythagorean mathematics. Perhaps there might be good reason for a philosopher to save The Timaeus (especially a copy with Calcidius’ commentary)from a burning building!

Plato; Chalcidius (translation). Timaeus. Manuscript. Place: Bodleian Library, University of Oxford, <a href=’http://www.bodley.ox.ac.uk/’>http://www.bodley.ox.ac.uk/</a>. https://library-artstor-org.proxy.library.nd.edu/asset/BODLEIAN_10310768399.

Medievalists who study the textual reception of the various translations of The Timaeus have been able to identify a shift in kinds of interest in Plato over time. The primary Latin translation of the Timaeus used until the eleventh century was Cicero’s. Medieval scholars used to assume that the revival of Calcidius began with the twelfth century Platonists, but Anna Somfai has demonstrated that the proliferation of copies of Calcidius’ text and commentary began in the eleventh century when championed by Lanfranc of Bec (c.1050). The late twelfth-century actually experienced a decline of copying the Timaeus as interests shifted towards other texts.

What motivated the eleventh-century interest in Calcidius appears to have been the mathematical content of the Calcidian commentary because, by the Carolingian period, much of the actual content of the quadrivial arts had been lost, and scholars in the Middle Ages attempted to piece together what scraps of it remained from a variety of sources. Calcidius’ commentary on the Timaeus appears to have been particularly valued as a source text for the quadrivial (or mathematical) arts. As my two previous MI blogs have explored here and here, medieval thinkers in the traditional liberal arts tradition recognized that the quadrivial arts were the foundation for philosophical thought, even if they had few textual sources for actually studying them.

And although some of the interest in the kinds of mathematics found in the Timaeus and Calcidius’ commentary may have declined after the twelfth century, it was by no means lost completely. As David Albertson has demonstrated, the mathematical interest in Plato found in the work of the twelfth-century scholar, Thierry of Chartres, would eventually be picked up by the fifteenth-century scholar, Nicholas of Cusa, and many scholars have noted resonances of Cusa’s quadrivial agenda in the thinking of Leibniz, the founder of calculus:

It seems that God, when he bestowed these two sciences [arithmetic and algebra] on humankind, wanted to warn us that a much greater secret lay hidden in our intellect, of which these were but shadows. (Leibniz as quoted by Albertson, p.2)

Bernardus Silvester. Liber fortunae, also known as Experimentarius.. Manuscript. Place: Bodleian Library, University of Oxford, <a href=’http://www.bodley.ox.ac.uk/’>http://www.bodley.ox.ac.uk/</a>. https://library-artstor-org.proxy.library.nd.edu/asset/BODLEIAN_10310765350.

Even though the interest in scribal copying of the Timaeus seems to have declined somewhat by the twelfth-century, another kind of imitatio or translatio studii was being enacted by a different kind of scholar, Bernard Silvestris. He wrote a prosi-metric telling of the creation of the world that emulates Plato’s Timaeus. The title of his work, Cosmographia, roughly translates as “universe writing,” and Bernard delivered an oral performance of itbefore Pope Eugenius III in 1147. Bernard’s creative retelling of the Timaeus poetically depicts the role of imitation in the divine creation of the world in the form of “divine writing.” Performatively, the Cosmographia demonstrates that this divine writing is then imitated by poets in the form of human writing. In other words, Bernard values Plato’s Timaeus here not merely for its insights into mathematics or even the structure of the universe, but also what this mathematics in the universe implies about the mimetic nature of poetry itself.

As many literary scholars have demonstrated, much of the European literary tradition follows suit in seeing the value of Timaean Platonism for the production of literature. This interest can be seen in such diverse authors as Alan of Lille, Chrétien de Troyes, and Dante.

While I would personally be loath to give up the access to the Platonic corpus that I possess, the medieval reception of the Timaeus constantly pushes me to reconsider how I am reading that corpus. Having a large corpus of texts actually places an onus on the modern reader to ask the question of where to place the textual emphasis: Which texts of Plato should be considered central (and which ones periphery) and why? For example, should Plato’s Republic be considered his last word on poets and poetry? What would happen if Plato’s Timaeus were given more weight?

C.S. Lewis once wrote in his introduction to On the Incarnation by Athanasius:

Every age has its own outlook. It is specially good at seeing certain truths and specially liable to make certain mistakes. We all, therefore, need the books that will correct the characteristic mistakes of our own period. And that means the old books.

These words about reading the great books can also apply to reading the old books as they were read by past readers. Understanding medieval readings of Plato might very well be a good counterweight to modern presuppositions about who Plato was and what he was about. How might the idea of Plato as both a mathematician and myth-maker transform our modern understanding of Platonism and its history?

Lesley-Anne Dyer Williams is a Professor for Memoria College’s Masters of Arts in Great Books program and graduated with her doctorate from the University of Notre Dame’s Medieval Institute in 2012. She was also the founding director Liberal Arts Guild at LeTourneau University. Her research focuses upon twelfth-century Platonism and poetry, especially Thierry of Chartres and Bernard Silvestris.

Lesley-Anne Dyer Williams
Public Humanities Postdoctoral Fellow
Medieval Institute
University of Notre Dame

For Further Reading:

Albertson, David. Mathematical Theologies: Nicholas of Cusa and the Legacy of Thierry of Chartres. Oxford University Press, 2014.

Baxter, Jason M. The Infinite Beauty of the World: Dante’s Encyclopedia and the Names of God. Peter Lang, 2020.

Bernardus Silvestris. Poetic Works. Edited by Winthrop Wetherbee, vol. 38, Harvard University Press, 2015.

Caiazzo, Irene. “Teaching the Quadrivium in the Twelfth-Century Schools.” A Companion to Twelfth-Century Schools, edited by Cédric Giraud, translated by Ignacio Duran, vol. 88, Brill, 2019, pp. 180–202.

Calcidius. On Plato’s Timaeus. Edited by John Magee, vol. 41, Harvard University Press, 2016.

Chenu, M. D. “The Platonisms of the Twelfth Century.” Nature, Man and Society in the Twelfth Century: Essays on New Theological Perspectives in the Latin West, translated by Jerome Taylor and Lester K. Little, vol. 37, University of Toronto Press, 1997.

Dronke, Peter. The Spell of Calcidius: Platonic Concepts and Images in the Medieval West. SISMEL edizioni del Galluzzo, 2008.

Gersh, Stephen. Middle Platonism and Neoplatonism: The Latin Tradition. Vol 1 and Vol 2. University of Notre Dame Press, 1986.

Hoenig, Christina. Plato’s Timaeus and the Latin Tradition. Cambridge University Press, 2018.

Murray, K. Sarah-Jane. From Plato to Lancelot. Syracuse University Press, 2008.

Plato. Plato’s Cosmology: The Timaeus of Plato Translated with Running Commentary. Edited by F. M Cornford, Routledge, 1937.

Reydam-Schils, Gretchen. “Myth and Poetry in the Timaeus.” Plato and the Poets, edited by Pierre Destrée and Fritz-Gregor Herrmann, Brill, 2011.

Reydams-Schils, Gretchen J. Calcidius on Plato’s Timaeus: Greek Philosophy, Latin Reception, and Christian Contexts. Cambridge University Press, 2020.

Somfai, Anna. “The Eleventh-Century Shift in the Reception of Plato’s Timaeus and Calcidius’ Commentary.” Journal of the Warburg and Courtauld Institutes, vol. 65, 2002, pp. 1–21.

Stock, Brian. Myth and Science in the Twelfth Century. Princeton University Press, 1972.

Wetherbee, Winthrop. Platonism and Poetry in the Twelfth Century. Princeton University Press, 1972.

Leaving the Beaten Path with Dr. Andrea Robiglio

In the latest episode of “Meeting in the Middle Ages,” Ben and Will sit down with Dr. Andrea Robiglio, professor of History of Philosophy at KU Leuven. We spoke about the wide world of pre-modern philosophy and the ways in which the field of philosophy is at heart a “vain struggle to define something.” We also discussed the works of Dante Alighieri and Thomas Aquinas, both of whom illustrate the surprising truth that the many of the conceptual practices we take to be modern have deep roots in medieval philosophy and theology.

Dr. Andrea Robiglio, professor of History of Philosophy at KU Leuven

During our conversation with Dr. Robiglio this month, the sheer range and interdisciplinarity of the professor’s work was staggering. “Interdisciplinary” is something of a buzzword in Medieval Studies at the moment, and it can sometimes result in superficial or imprecise research. But Dr. Robiglio does far more than merely gesture to neighboring fields in his work. He weaves together intensely close readings a la literary studies, in-depth historical analysis, and, of course, precise philosophical insights. We moved from recent historical fiction to early 20th century scholars, from Dante to Umberto Eco and back. His research is a trove of the riches that can be found when one takes a holistic view, pursuing different threads and weaving them together. It seemed natural to us, then, to title this episode “Leaving the Beaten Path.” He may have been more comfortable calling himself a “Pre-modern Philosopher,” but it was clear to us that his integration of Latin and vernacular(s) texts, from a whole host of authors and composers, into an analytical approach that is as ready to embrace the secular as the religious makes him a formidable medievalist.

A recurring theme in our conversation was that of modernity in philosophy. We tend to think of our postmodern world, with its proliferating multiplicities, as a response to the grand theories of modernism. It is a response, we tell ourselves, to modernism’s tendency towards teleology, structures, and hierarchy. But in so many ways, postmodernism is a medieval phenomenon. The Middle Ages, at least in Western Europe, grew among the ruins of the centralized, systematized Roman Empire. Medieval society tended towards localisation, a tangled web of nodes each representing conflicting groups and interests. For Robiglio, it seems that figures like Dante and Thomas Aquinas also resist hierarchy in their writing and draw on a wide range of sometimes conflicting sources. Aquinas was willing to push back against the hegemony of religious thinking and introduce secular philosophy into his work. Perhaps to the point that the distinctions between the two categories start to blur. It’s a remarkably postmodern kind of thinking. As people say, “there’s nothing new under the sun.”

Thanks for listening. See you next time in the Middle Ages.

Will Beattie & Ben Pykare
Medieval Institute
University of Notre Dame

The Medievalism of Dorothy L. Sayers

The cover of the biography of Sayers written by her student and friend, Barbara Reynolds (Amazon.com).

            On October 14, 1920, the words, “domina, magistra” were spoken by the Vice Chancellor of Oxford University at the first ever graduation day for women. The grammatically feminine gender of these Latin words marked a major twentieth-century transition for university education. Among this first group of women was Dorothy L. Sayers. She was awarded a first-class MA degree in modern languages, a degree that she had earned in its entirety at Somerville College, Oxford University five years before but could not receive at the time merely because she was female. While her degree was in modern languages, at the time, and especially under the influence of the medievalist at Somerville College, Mildred Pope, an undergraduate degree in modern languages would have contained quite a bit of medieval studies, and this influence can be seen throughout her varied career. Whether Dorothy was writing advertisment campaigns for Guiness Beer (she did the Toucan campaign) or Lord Peter Wimsey mystery novels or radio dramas on the Life of Christ for the BBC or translating the Song of Roland and Dante’s Commedia, the Middle Ages seems to never be far from her mind.

The first female graduates from Somerville College, Oxford University (https://www.some.ox.ac.uk/about/a-brief-history-of-somerville/degrees-for-women/).

            Perhaps my favorite example from the Lord Peter mystery series occurs merely in her early characterization of Lord Peter in Whose Body? (1923). Dorothy Sayers admitted later than one of her motivations for writing Lord Peter, besides the need to earn money, was a certain kind of wish fulfillment during her own economically uncertain times. She imagines a character who has the means to live a life that she can only dream about. And what does Lord Peter do? He has his man, Bunter secure the purchase of rare books from an auction house while he follows up on a lead for his murder investigation:

“Thanks. I am going to Battersea at once. I want you to attend the sale for me. Don’t lose time—I don’t want to miss the Folio Dante* nor the de Voragine—here you are—see? ‘Golden Legend’—Wynkyn de Worde, 1493—got that?—and, I say, make a special effort for the Caxton folio of the ‘Four Sons of Aymon’—it’s the 1489 folio and unique. Look! I’ve marked the lots I want, and put my outside offer against each. Do your best for me. I shall be back to dinner.”

She even gives a footnote:

Aldine 8vo. of 1502, the Naples folio of 1477—”edizione rarissima,” according to Colomb. This copy has no history, and Mr. Parker’s private belief is that its present owner conveyed it away by stealth from somewhere or other. Lord Peter’s own account is that he “picked it up in a little place in the hills,” when making a walking-tour through Italy.

Notice that this isn’t an example of high-level scholarly influence. It is about the formation of her loves and passions soon after leaving Oxford. When she could fantasize about doing anything with money, she fantasizes about having enough money to buy expensive incunabula of Dante and de Voragine!

            In addition to writing mystery novels, one of Dorothy Sayers’ earliest jobs after graduation was working at an advertising firm, the one for which she developed the Guiness Beer campaign. It appears from a paper given years later at a Vacation Course in Education at Oxford in 1947, “The Lost Tools of Learning,” that medieval studies may have given her a unique perspective on the advertising industry. She gave this paper almost twenty years after personally working in advertising (and writing Murder Must Advertise based upon her experience) but only a few years after the end of World War II, when the powers of propaganda in the modern world were first beginning to be fully recognized. With these experiences in mind, she writes:

Has it ever struck you as odd, or unfortunate that to-day, when the proportion of literacy throughout Western Europe is higher than it has ever been, people should have become susceptible to the influence of advertisement and mass-propaganda to an extent hitherto unheard-of or unimagined? Do you put this down to the mere mechancial fact that the press and the radio and so on have made propaganda much easier to distribute over a wide area? Or do you sometimes have an uneasy suspicion that the product of modern educational methods is less good than he or she might be at disentangling fact from opinion and the proven from the plausible?…Do you often come across people for whom, all their lives, a “subject” remains a “subject,” divided by water-tight bulkheads from all other “subjects,” so that they experience great difficulty in making an immediate mental connection between, let us say, algebra and detective fiction…between such spheres of knowledge as philosophy and economics, or chemistry and art?

Sayers suggests that the susceptibility of modern people to advertising and propaganda may be the result modern education. She even goes so far as to suggest that a return to the medieval trivium might be the best antidote! While realizing her proposal might be laughable, Sayers suggests that the issue is that “modern education concentrates on teaching subjects, leaving the method of thinking arguing, and expressing one’s conclusions to be picked up by the scholars as he goes along” whereas “medieval education concentrated on first forging and learning to handle the tools of learning, using whatever subject came handy as a piece of material on which to doodle until the use of the tool became second nature.” The medieval trivium of grammar, logic, and rhetoric was not really a series of “subjects” but rather a way to train students in the verbal arts, enabling them to then apply those arts to whatever subject they studied. Without this kind of medieval training, the modern person is enslaved to those with the ability to spin words most effectively.

            These examples from Whose Body? and “The Lost Tools of Learning” give only a taste of the way Sayers’ undergraduate education in medieval studies shaped her later work. More could be written about resemblances between medieval mystery plays and Sayers’ 12-part BBC radio drama on the life of Christ, The Man Born to Be King (and the way her medieval approach caused major controversy in 1942), not to mention her more serious scholarly pursuits translating The Divine Comedy (1949/1955)and The Song of Roland (1957). More could also be said on her remarks on medieval female brewsters in “Are Women Human?” (1947). What becomes clear, however, when one looks at her varied career is the impact of medieval studies upon the whole. The seeds of medieval studies sown at Oxford seem to have born fruit in her distinctively twentieth-century, modern life, one of the only times in history that a female graduate from Oxford University could be an advertiser, mystery novelist, radio dramatist, amateur educational theorist, and independent scholar.

First editions of Dorothy Sayer’s medieval works (abebooks.com).


Lesley-Anne Williams
PhD in Medieval Studies (2011)
Medieval Institute
University of Notre Dame

Selected Bibliography

Dante Alighieri. The Divine Comedy, Part 1: Hell. Translated by Dorothy L. Sayers. London: Penguin Classics, 1950.

Dante Alighieri. The Divine Comedy, Part 2: Purgatory. Translated by Dorothy L. Sayers. Penguin Classics, 1955.

Dante Alighieri. The Divine Comedy, Part 3: Paradise. Translated by Dorothy L. Sayers and Barbara Reynolds. Twenty-Seventh Printing edition. Harmondsworth Eng.; Baltimore: Penguin Classics, 1962.

Moulton, Mo. The Mutual Admiration Society: How Dorothy L. Sayers and Her Oxford Circle Remade the World for Women. First edition. New York, NY: Basic Books, 2019.

Reynolds, Barbara. Dorothy L. Sayers: Her Life and Soul. New York: St. Martin’s Press, 1993.

Sayers, Dorothy L. The Lost Tools of Learning. Louisville, Kentucky: GLH Publishing, 2016.

Sayers, Dorothy L. The Man Born to Be King: Wade Annotated Edition. Edited by Kathryn Wehr. Annotated edition. Downers Grove, IL: IVP Academic, 2023.

Sayers, Dorothy L. The Song of Roland. Penguin Classics. Harmondsworth, Eng.: Penguin Books, 1957.

Sayers, Dorothy L. Three for Lord Peter Wimsey: Whose Body? Clouds of Witness. Unnatural Death. New York: Harper & Row, 1964.

Whyte, Brendan. “Munster’s Monster Meets Dorothy’s Dragon: Lord Peter Wimsey Consults the Cartography of the ‘Cosmographia.’” Globe (Melbourne), no. 91 (2022): 61–74.