Álvaro José Campillo Bo, Ph.D. (2023), University College Dublin, studies the early modern Latin reception of the Neoplatonic philosophy of mathematics and the ensuing epistemological, metaphysical, and scientific debates it provoked.

• AcknowledgementsList of Figures and Tables1 Introduction1.1 Mathematical Akribology: a Perennial Question1.2 Piccolomini’s Intellectual Background to De certitudine1.3 De certitudine Mathematicarum: Themes and Hermeneutical Keys1.4 State of the Art1.5 Reassessing Piccolomini’s Text1.6 The Map of This Book2 Piccolomini’s Sources and Context2.1 Proclus in the Latin Context and Neoplatonic Themes in De certitudine2.2 Phantasia: Ontology and Epistemology2.3 Certitudo mathematica: a Historical Inquiry2.4 Anti-mathematical Attitudes in the 16th-Century Italian Context2.5 Pseudo-Aristotle’s Quaestiones mechanicae2.6 Demonstratio potissima3 De Certitudine Mathematicarum3.1 Piccolomini’s demonstratio potissima: a Truncated regressus3.2 Mathematical Analysis and demonstratio potissima3.3 Euclid’s I.32: Formal Flaws of Mathematical Demonstration3.4 Quasi παράδοξον: Piccolomini’s Denial of Mathematical Causality3.5 Piccolomini’s Philosophy of Mathematics3.6 Mathematising the Unmathematical: Back to the Mertonian Challenge3.7 Common Mathematics and De certitudine’s Consistency: a HypothesisConclusionsAppendixBibliographyManuscriptsPrimary SourcesSecondary SourcesIndex of ManuscriptsIndex of Ancient AuthorsIndex of Modern Authors