Pre-modern Mathematical Thought : The Latin Discussion (13th-16th Centuries) / edited by Clelia V. Crialesi.

Format:

Book

Contributor:

Crialesi, Clelia V., editor.

Series:

Investigating Medieval Philosophy ; 25.

Late Antiquity and Medieval Studies E-Books Online, Collection 2025

Investigating Medieval Philosophy ; 25

Language:

English

Subjects (All):

History.

Philosophy.

Physical Description:

1 online resource (382 pages)

Edition:

1st ed.

Other Title:

The Latin Discussion (13th-16th Centuries)

Place of Publication:

Leiden ; Boston : Brill, 2025.

Language Note:

English

Summary:

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 examines the evolving understanding of central issues among which continuity, the existence of mathematical objects such as numbers, and the way humans can make true statements regarding such things. Each chapter sheds light on how premodern scholars bridged mathematics and philosophy, forging concepts and approaches that continued to influence early modern thought. A compelling read for historians, philosophers, and anyone intrigued by the origins and enduring legacy of mathematical ideas as both tools for inquiry and objects of reflection. Contributors are Joël Biard, Stephen Clucas, Clelia V. Crialesi, Vincenzo De Risi, Daniel Di Liscia, André Goddu, Kamil Majcherek, Paolo Mancosu, Aurélien Robert, Sabine Rommevaux, Sylvain Roudaut, and Cecilia Trifogli.

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.

Notes:

Description based on publisher supplied metadata and other sources.

Description based on print version record.

Includes bibliographical references and index.

ISBN:

90-04-73415-5

OCLC:

1527724038

Publisher Number:

10.1163/9789004734159 DOI