Pre-modern Mathematical Thought : The Latin Discussion (13th-16th Centuries) /

Pre-modern Mathematical Thought : The Latin Discussion (13th-16th Centuries) /

This book takes readers through an exploration of fundamental discussions that redefined mathematics and its philosophical significance in the centuries foregoing modernity. From William of Auvergne's paradoxes of infinity to Christoph Clavius' interpretation of Euclidean principles, it ex...

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Other Authors: Crialesi, Clelia V. (Editor)

Format: eBook

Language: English

Published: Leiden ; Boston : Brill, 2025.

Series: Investigating Medieval Philosophy ; 25.
Late Antiquity and Medieval Studies E-Books Online, Collection 2025

Subjects:

History.
Philosophy.

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Call Number: D410

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Table of Contents:
  • List of Figures and Tables
  • Notes on Contributors
  • Introduction
  • Part 1 13th Century
  • 1 William of Auvergne on Paradoxes of Infinity
  • Paolo Mancosu
  • 2 John Duns Scotus and Walter Chatton on Geometry and the Composition of a Continuum
  • Cecilia Trifogli
  • 3 A Science of mathematicalia in Radulphus Brito's Questiones mathematice
  • Sabine Rommevaux
  • Part 2 14th Century
  • 4 Can an Accident Inhere in More Than One Subject? A Problem for Medieval Realism about Numbers
  • Kamil Majchereck
  • 5 Marco Trevisano on the Ontology of Numbers: A Pythagorean and Platonic Philosophy of Mathematics
  • Aurélien Robert
  • 6 Conceiving Mathematical Terms and Propositions in the 14th Century
  • Clelia V. Crialesi
  • Part 3 15th Century
  • 7 The "Latitudes of Forms" as a New Middle Science
  • Daniel A. Di Liscia
  • 8 The Use of Richard Swineshead's Calculationes in 15th-Century Natural Philosophy
  • Sylvain Roudaut
  • 9 From Blasius of Parma to Alexander Achillini: A New Conception of Relations Between Mathematics and Physics
  • Joël Biard
  • Part 4 16th Century
  • 10 The Derivability Theory of Axioms: Logic and Mistranslations in the Middle Ages and the Renaissance
  • Vincenzo De Risi
  • 11 Beyond the Praeface: John Dee's Contributions to Henry Billingsley's Euclid and French Humanist Commentaries on Book X of Euclid's Elements
  • Stephen Clucas
  • 12 The Renaissance of Greek Mathematics and Early Modern Empiricism
  • André Goddu
  • Bibliography
  • Index.