Pre-modern Mathematical Thought

Clelia V. Crialesi is a Marie Skłodowska-Curie Fellow at SPHERE-CNRS (Paris, France). Her research focuses on premodern mathematical thought, with publications ranging from Boethian number theory to Euclidean geometry in the late medieval continuum debate and epistemology of 14th-century algebraic practices. She is the author of the monograph Mathematics and Philosophy at the Turn of the First Millennium. Abbo of Fleury on Calculus (Routledge, 2025).

• List of Figures and TablesNotes on ContributorsIntroductionPart 1 13th Century1 William of Auvergne on Paradoxes of InfinityPaolo Mancosu2 John Duns Scotus and Walter Chatton on Geometry and the Composition of a ContinuumCecilia Trifogli3 A Science of mathematicalia in Radulphus Brito’s Questiones mathematiceSabine RommevauxPart 2 14th Century4 Can an Accident Inhere in More Than One Subject? A Problem for Medieval Realism about NumbersKamil Majchereck5 Marco Trevisano on the Ontology of Numbers: A Pythagorean and Platonic Philosophy of MathematicsAurélien Robert6 Conceiving Mathematical Terms and Propositions in the 14th CenturyClelia V. CrialesiPart 3 15th Century7 The “Latitudes of Forms” as a New Middle ScienceDaniel A. Di Liscia8 The Use of Richard Swineshead’s Calculationes in 15th-Century Natural PhilosophySylvain Roudaut9 From Blasius of Parma to Alexander Achillini: A New Conception of Relations Between Mathematics and PhysicsJoël BiardPart 4 16th Century10 The Derivability Theory of Axioms: Logic and Mistranslations in the Middle Ages and the RenaissanceVincenzo De Risi11 Beyond the Praeface: John Dee’s Contributions to Henry Billingsley’s Euclid and French Humanist Commentaries on Book X of Euclid’s ElementsStephen Clucas12 The Renaissance of Greek Mathematics and Early Modern EmpiricismAndré GodduBibliographyIndex