The Jesuit C.F. Milliet Dechales, author of one of the most famous early modern mathematical encyclopedias, Cursus seu mundus mathematicus, wrote a hundred-folio-page long treatise devoted to the “progress of mathematics,” which was published in the second, enlarged edition of his encyclopedia. His historical treatise covers the gamut of mixed mathematics—including astronomy, mechanics, optics, music, geography and navigation, ars tignaria, and architecture. The early modern historical narratives about the mathematical sciences, from Regiomontanus’s Oratio onwards, have been aptly characterized by their (...) literary form and goals rather than their historical content. Rhetoric, humanistic topoi, and philosophical filiation turned the histories of mathematics into powerful tools for different purposes. My account of Dechales’ tract on the “progress of mathematics” analyzes the ways in which it dovetails with Jesuit approaches to mathematics, provides legitimation to the mathematical sciences as well as to their authors, and contributes to define the role and boundaries of the discipline, in particular vis-à-vis natural philosophy. (shrink)

The history of the science of the stars (astronomy and astrology) in fourteenth-century Byzantium is significantly intertwined with the implications of theological and philosophical controversies. A less-explored astronomical text authored by the fourteenth-century Byzantine scholar Theorodos Meliteniotes (ca. 1320–1393 CE) provides new historical factors toward a historiography of the differences between scientific and theological discourses, their development in the transition to early modern times, and the different historical developments of science in the worlds of the Eastern and Western Churches.