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The Euclidean Programme (Elements in the Philosophy of Mathematics)

SKU: 9781009221986

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This book examines the Euclidean programme in mathematics, exploring its foundational principles and philosophical implications. It investigates how Euclidean methods have shaped mathematical thought and their relevance to contemporary mathematics.

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Description

The Euclidean Programme provides a comprehensive philosophical analysis of Euclid’s approach to mathematics and its enduring influence on mathematical practice and theory. The authors examine the core principles underlying Euclidean geometry and explore how these foundational ideas have shaped the development of mathematics over centuries.

This work investigates the philosophical questions raised by the Euclidean method, including issues of axiomatization, proof, and mathematical certainty. It considers both historical interpretations of Euclid’s Elements and modern perspectives on what the Euclidean programme means for contemporary mathematics. The book addresses debates about the nature of mathematical knowledge and the extent to which Euclidean principles remain relevant in advanced mathematical disciplines.

Intended for philosophy of mathematics scholars, mathematicians, and students of mathematical history, this element provides essential insights into one of mathematics’ most influential traditions.

Additional information

Author

A. C. Paseau, Wesley Wrigley

Publisher

‏ : ‎ Cambridge University Press

ISBN

9781009221986

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