Pre-modern Mathematical Thought by Crialesi, Clelia V.;

Short description:

The book focuses on the diverse manifestations of mathematical thought at the end of the Middle Ages and right before modernity, revealing how mathematics was understood as both a tool for inquiry and a subject of philosophical reflection in its own right.

Long description:

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.

Table of Contents:

List of Figures and Tables

Notes on Contributors



Introduction

Part 1 13th Century

Part 2 14th Century

Part 3 15th Century

Part 4 16th Century