12 January 2024

Circles and Stars Between Cosmology and Cosmography

The recently-opened Lisbon exhibition “The Emperor’s Gift: Circles of Knowledge” brings to light a recently-discovered 19th-century Arabic manuscript, a (literally) dizzying and (literally) encyclopaedic collection of circular diagrams and tables covering all the topics between heaven and earth. In fact, this Gulbenkian manuscript, called in Arabic Tuhfat al-Khaqan: Dawa’ir al-‘Ulum wa-Jadawil al-Ruqum (The Emperor’s Gift: Circles of the Sciences and Tables of the Numerals), is organized thematically in a way that reminds us of medieval encyclopaedias, notably from Ming China, following the tripartite arrangement of Heaven–Earth–Man (Tian–Di–Ren) or, roughly, cosmogony/cosmology–geography–beliefs/psychology.

The manuscript is literally dizzying because the convoluted paths of minuscule lettering force the reader to turn the head or turn the text in many ways to be able to follow: you actually have to “get your head round it”! And it is literally encyclopaedic because the great part of its contents is about transmitting a teaching (Gr. paideia) in a circular format (Gr. enkyklon): “a teaching in circles” is as literal a rendering of the Greek enkyklopaideia as we can get. This makes us think a lot about the conceptual and visual power of the circle.

And in turn (how else?), from our particular RUTTER angle, thinking of navigation, orientation, windroses, and rhumb diagrams, we realise that this exhibition is at heart about one of the fundamental questions in philosophy of science: that of mathematical realism, in a Pythagorean and Galilean way, revived in our days by the mathematical universe hypothesis (MUH). The question, succinctly put, is, how can we explain that material reality be so adequately described by mathematical formulas and geometrical diagrams?

Even only grazing this topic, needless to say, exceeds the scope of these brief lines, but let us suggest that a useful answer may be related, once again, to the Great Triad (三才 sancai) of Chinese cosmology, to a certain essential correspondence, a very familiar je ne sais quoi shared by Heaven, Earth and Man, that is, the physical order of the world beyond the earth, the order of our planet, and the properties of our mental apparatus, our consciousness. The key underlying “forms” to study, consider, and contemplate, are three: orthogonality (the grid), concentricity and radiality. This manuscript, and the extremely suggestive Gulbenkian exhibition are at once evocative, aesthetically delightful, and seriously provocative in the best philosophical way. They are welcome in every way in our times of sound bites and attention-stealing technology. [J. Acevedo]