https://aphinum.com/tags/rational-numbers/ Recent content in Rational Numbers on Philosophy Structured Notes Hugo en-US Sat, 03 Jan 2026 22:51:43 +0000 https://aphinum.com/posts/the-geometrical-theory-of-proportion-a-new-foundation-for-mathematics/ Fri, 02 Jan 2026 19:42:28 +0000 https://aphinum.com/posts/the-geometrical-theory-of-proportion-a-new-foundation-for-mathematics/ <p><strong>The Geometrical Theory of Proportion: A New Foundation for Mathematics</strong></p> <p><strong>Overview</strong> The discovery of irrationals by ancient Greek mathematicians led to significant advancements in mathematical thought, particularly in the development of a geometrical theory of proportion. This new approach, attributed to Eudoxus (ca. 408 - ca. 355 B.C.), revolutionized the field by introducing a more comprehensive and versatile framework for understanding ratios and proportions. The geometrical theory of proportion, as described in Euclid&rsquo;s works, has had a lasting impact on mathematics, laying the groundwork for later developments in calculus and analysis.</p>