When most people think of space, they think of physical space. However, visual space concerns space as consciously experienced, and it is studied through subjective measures, such as asking people to use numbers to estimate perceived distances, areas, angles, or volumes. This book explores the mismatch between perception and physical reality, and describes the many factors that influence the perception of space including the meaning assigned to geometric concepts like distance, the judgment methods used to report the experience, the presence or absence of cues to depth, and the orientation of a stimulus with respect to point of view. The main theme of the text is that no single geometry describes visual space, but that the geometry of visual space depends upon the stimulus conditions and mental shifts in the subjective meaning of size and distance. In addition, The Geometries of Visual Space: *contains philosophical, mathematical, and psychophysical background material; *looks at synthetic approaches to space perception including work on hyperbolic, spherical, and Euclidean geometries; *presents a meta-analysis of studies that ask observers to directly estimate size, distance, area, angle, and volume; *looks at the size constancy literature in which observers are asked to adjust a comparison stimulus to match a variety of standards at different distances away; *discusses research that takes a multi-dimensional approach toward studying visual space; and *discusses how spatial experience is influenced by memory. While this book is primarily intended for scholars in perception, mathematical psychology, and psychophysics, it will also be accessible to a wider audience since it is written at a readable level. It will make a good graduate-level textbook on space perception.

When most people think of space, they think of physical space. However, visual space concerns space as consciously experienced, and it is studied through subjective measures, such as asking people to use numbers to estimate perceived distances, areas, angles, or volumes. This book explores the mismatch between perception and physical reality, and describes the many factors that influence the perception of space including the meaning assigned to geometric concepts like distance, the judgment methods used to report the experience, the presence or absence of cues to depth, and the orientation of a stimulus with respect to point of view. The main theme of the text is that no single geometry describes visual space, but that the geometry of visual space depends upon the stimulus conditions and mental shifts in the subjective meaning of size and distance. In addition, The Geometries of Visual Space: *contains philosophical, mathematical, and psychophysical background material; *looks at synthetic approaches to space perception including work on hyperbolic, spherical, and Euclidean geometries; *presents a meta-analysis of studies that ask observers to directly estimate size, distance, area, angle, and volume; *looks at the size constancy literature in which observers are asked to adjust a comparison stimulus to match a variety of standards at different distances away; *discusses research that takes a multi-dimensional approach toward studying visual space; and *discusses how spatial experience is influenced by memory. While this book is primarily intended for scholars in perception, mathematical psychology, and psychophysics, it will also be accessible to a wider audience since it is written at a readable level. It will make a good graduate-level textbook on space perception.

This book is based on a two-day symposium at the Paris Institute of Advanced Study titled "space-time geometries and movement in the brain and the arts". It includes over 20 chapters written by the leading scientists and artists who presented their related research studies at the symposium and includes six sections; the first three focus on space-time geometries in perception, action and memory while the last three focus on specific artistic domains: drawing and painting, dance, music, digital arts and robotics. The book is accompanied by a dedicated webpage including related images and videos. There is an ever-growing interest in the topics covered by this book. Space and time are of fundamental importance for our understanding of human perception, action, memory and cognition, and are entities which are equally important in physics, biology, neuroscience and psychology. Highly prominent scientists and mathematicians have expressed their belief that our bodies and minds shape the ways we perceive space and time and the physical laws we formulate. Understanding how the brain perceives motion and generates -bodily movements is of great significance. There is also growing interest in studying how space, time and movement subserve artistic creations in different artistic modalities (e.g., fine arts, digital and performing arts and music). This interest is inspired by the idea that artists make intuitive use of the principles and simplifying strategies used by the brain in movement generation and perception. Building upon new understanding of the spatio-temporal geometries subserving movement generation and perception by the brain we can start exploring how artists make use of such neuro --geometrical and neuro-dynamic representations in order to express artistic concepts and emotionally affect the human observers and listeners. Scientists have also started formulating new ideas of how aesthetic judgements emerge from the principles and brain mechanisms subserving motor control and motion perception. Covering novel and multidisciplinary topics, this advanced book will be of interest to neuroscientists, behavioral scientists, artificial intelligence and robotics experts, students and artists.

Annotation - Most studies of visual perception, such as illusion, perception of solid objects and colors, etc., are concerned with local phenomena in this visual space. In contrast, this book focuses on the global structure inherent in our visual space- Developments in the Structure of Visual Space is summarized in the book. Moreover, the idea is discussed with regard to our visual space under more natural conditions- The book will be of interest to scientists and engineers in various fields who are interested in human vision and to artists who are interested in the scientific understanding of seeing- This book includes many illustrations- All mathematical tools are explained from the beginning, so it is still readable to those who are not familiar with Riemannian geometry- The backgrounds of experimentation are described in detail, so it is also readable to those who are unfamiliar with experiments on visual perception

This brings for the first time over one hundred short essays in philosophical logic and the philosophy of mind. It is an invaluable introduction to Wittgenstein's 'later philosophy'.

It is ten years since Adolf Griinbaum published the first edition of this book. It was promptly recognized to be one of the few major works in the philosophy of the natural sciences of this generation. In part, this is so because Griinbaum has chosen a problem basic both to philosophy and to the natural sciences - the nature of space and time; and in part, this is so because he so admirably exemplifies that Aristotelian devotion to the intimate and mutual dependence of actual science and philosophical understanding. More than this, however, the quality of his work derives from his achievement in combining detail with scope. The problems of space and time have been among the most difficult in contemporary and classical thought, and Griinbaum has been responsible to the full depth and complexity of these difficulties. This revised and enlarged second edition is a work in progress, in the tradition of reflective analysis of modern science of such figures as Ehrenfest and Reichenbach. In publishing this work among the Boston Studies in the Philosophy of Science, we hope to contribute to and encourage that broad tradition of natural philosophy which is marked by the close collaboration of philoso phers and scientists. To this end, we have published the proceedings of our Colloquia, of meetings and conferences here and abroad, as well as the works of single authors.

Visual Perception: Theory and Practice focuses on the theory and practice of visual perception, with emphasis on technologies used in vision research and in visual information processing. Central areas of vision research including spatial vision, motion perception, and color are discussed. Light and optics, convolutions and Fourier methods, and network theory and systems are also examined. Comprised of nine chapters, this book begins with an overview of language and processes underlying specific areas of vision such as measures of neural activity, feature specificity, and individual cells and psychophysics. The reader is then systematically introduced to the more essential properties of light and optics relevant to visual perception; the use of convolutions, Fourier series, and Fourier transform to model processes in visual perception; and network theory and systems. Subsequent chapters deal with the geometry of visual perception; spatial vision; the perception of motion; and some specific issues in visual perception, including color perception, binocular vision, and steriopsis. This monograph is intended for students, practitioners, and investigators in physiology.