Del 6 - History of Metaphysics: Ancient, Medieval, Modern

Akribeia: Certainty and Ontology of Mathematics in Alessandro Piccolomini's De certitudine mathematicarum

Inbunden, Engelska, 2025

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This book provides a comprehensive study of the origins of seminal early modern debates on the certainty and ontology of mathematics. It analyzes Alessandro Piccolomini’s De certitudine mathematicarum (1547), a work that ignited widespread controversy by challenging the scientific status of mathematics. The study delves into Piccolomini’s logical doctrines, his philosophy of mathematics, and his perspectives on the relationship between mechanics and natural philosophy. Special attention is given to Piccolomini’s ancient and medieval sources, the 16th-century rediscovery of Proclus’ In Euclidem, and the influence of Priscian’s In De Anima.

Produktinformation

Utgivningsdatum2025-03-27
Mått155 x 235 x 29 mm
Vikt739 g
FormatInbunden
SpråkEngelska
SerieHistory of Metaphysics: Ancient, Medieval, Modern
Antal sidor356
FörlagBrill
ISBN9789004724136

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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