When Form Becomes Substance: Power of Gestures, Diagrammatical Intuition and Phenomenology of Space

This interdisciplinary volume explores the role of diagrams in mathematics, physics, and philosophy, highlighting their significance in discovering new spaces and phenomena, enriching the meaning of operations and structures, and influencing contemporary artistic work. It provides an inspiration to students, researchers, and artists across various fields.

Format: Hardback
Length: 605 pages
Publication date: 01 December 2022
Publisher: Springer Nature Switzerland AG

This comprehensive interdisciplinary collection brings together contributions from esteemed experts across various fields, all centered around the versatile and influential concept of diagrams. Diagrams have emerged as pivotal tools in the mathematical visualization and philosophical exploration of forms in space, enabling groundbreaking advancements in contemporary sciences such as topology, geometry, dynamic systems theory, quantum field theory, and string theory. Beyond their fundamental role in discovering new classes of spaces and phenomena, these diagrams have also played a crucial role in enriching and clarifying the understanding of the operations, structures, and properties that define these spaces and phenomena.

The volume delves into the multifaceted nature of diagrams as fundamental components of mathematical and physical thought, their role in contemporary artistic endeavors, and their profound significance in fields such as topology, geometry, quantum physics, cosmology, theory of perception, plastic arts, and philosophy. The editors have meticulously curated this collection to serve as a source of inspiration for students, researchers, artists, musicians, and the broader interested audience.

In the opening chapter, the editors provide an insightful introduction to the topic, highlighting the historical development of diagrams and their relevance in contemporary thought. They explore the diverse applications of diagrams in mathematics, physics, and the arts, emphasizing their ability to convey complex ideas in a visually compelling manner. The chapter also discusses the philosophical implications of diagrams, exploring their role in shaping our understanding of the world and the nature of knowledge.

The subsequent chapters delve into the specific applications of diagrams in various fields. For instance, Chapter 2 explores the role of diagrams in topology and geometry, discussing their use in visualizing knotted structures, braids, fields, interactions, and strings. The authors provide detailed examples and illustrations to illustrate the power of diagrams in elucidating the intricate properties and relationships of these mathematical objects. Chapter 3 examines the significance of diagrams in quantum physics and cosmology, highlighting their role in describing the behavior of particles, fields, and the universe at the microscopic and macroscopic levels. The authors discuss the use of diagrams in visualizing quantum states, black holes, and the evolution of the cosmos. Chapter 4 explores the role of diagrams in the theory of perception, discussing their ability to represent and manipulate visual information. The authors discuss the use of diagrams in cognitive psychology, visual perception, and artistic expression. Chapter 5 examines the use of diagrams in plastic arts, discussing their role in creating visually stunning and abstract artworks. The authors explore the use of diagrams in contemporary art practices, such as installation art, performance art, and digital art. Chapter 6 examines the philosophical implications of diagrams, exploring their role in shaping our understanding of the nature of reality, knowledge, and consciousness. The authors discuss the use of diagrams in philosophical debates, such as the nature of space, time, and the mind-body problem.

In conclusion, this interdisciplinary volume offers a comprehensive exploration of the role of diagrams in mathematics, physics, the arts, and philosophy. Through a diverse range of contributions from experts in their respective fields, the volume provides a deep understanding of the versatility and significance of diagrams in contemporary thought. Whether used for mathematical visualization, philosophical analysis, artistic expression, or cognitive exploration, diagrams continue to play a vital role in advancing our understanding of the world and the nature of knowledge.

Weight: 1099g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030831240
Edition number: 1st ed. 2022