The Geometrical Theory of Proportion: A New Foundation for Mathematics
A detailed history of the geometrical theory of proportion, its development by Eudoxus, and its lasting impact on mathematics.
Mathematics
A Foundational Theorem in Ancient Greek Mathematics
A foundational theorem in Ancient Greek mathematics, exploring its historical context, key terms and concepts, and mechanisms and processes.
The Discovery of Irrational Numbers: A Historical Analysis
A historical analysis of the discovery of irrational numbers, exploring ancient civilizations' contributions to mathematics and the significance of irrational numbers in the natural world.
The Concept of Unity in Mathematics and Metaphysics
Exploring the concept of unity in mathematics and metaphysics, examining its relationships with key terms and figures.
A Formal Account of Numbers
Exploring the idea that numbers are formal entities, deriving significance from form or structure rather than inherent characteristics.
The Independence of Geometry: A Study on the Development of Euclidean Geometry
Exploring the development of Euclidean geometry, its independence from arithmetic, and the impact of incommensurable lengths on the field.