Explore how geometry is more than a set of rules, and why its foundations matter to real space.
This edition examines whether geometric truth is truly certain, and how ideas about logic, experience, and perception shape the subject. It also surveys a “subjective” approach that treats position and direction as the core concepts behind geometric reasoning.
(Content framed for readers who want to understand big questions about math, logic, and the nature of space.)"synopsis" may belong to another edition of this title.
Seller: Forgotten Books, London, United Kingdom
Paperback. Condition: New. Print on Demand. This book presents an innovative theory of geometry founded on two essential concepts: position and direction. While the concept of position has been somewhat explored, the geometry in this book emphasizes the pivotal role of direction. The author argues that not only are these the foundational concepts of geometry, but also of our spatial experience itself. The author challenges Euclidean geometry as an accurate depiction of space and instead presents his own subjective theory of geometry. His critique of Euclidean geometry notably focuses on its reliance on the problematic parallel postulate. By rejecting this assumption and introducing direction as a fundamental concept, the author develops an alternative framework for understanding spatial relationships. This book will appeal to those interested in the foundations of geometry and mathematics as well as those interested in exploring new ways to conceptualize and measure space and direction. Its insights provide a fresh perspective on the nature of geometry and its relation to our understanding of the world around us. 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. Seller Inventory # 9781330281345_0
Quantity: Over 20 available
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330281345
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330281345
Quantity: 15 available