9780282587376 - The Relation of the Principles of Logic to the Foundations of Geometry by Unknown (3 results)

PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.

Paperback. Condition: New. Print on Demand. This profound work centers on the fundamental concepts of logic and geometry, exploring the intricate connections between the two disciplines. The author ingeniously establishes a symmetrical polyadic relation as the cornerstone of their system, arguing that this relation can be used to define a wide range of ordinal relations known to logic and geometry. Through this innovative approach, the book delves into the essential properties of logical classes and geometrical entities, demonstrating how these concepts are inextricably linked. The author's insightful examination of the F-relation, a characteristic of Kempe's flat collections, provides a novel means of expressing geometrical ordinal relations. By extending the concept of conjugate resultants, the book explores the complex interplay between elements within a system, shedding light on the nature of logical sums, products, and negation. The author's rigorous examination of the principles of logic, extended to encompass infinite sets of entities, unveils the underlying structure of mathematical reasoning. Ultimately, this book offers a transformative perspective on the foundations of geometry, illuminating the deep connections between logic and the geometrical world. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.