Search results for ""Author Jean Petitot""
Springer International Publishing AG Elements of Neurogeometry: Functional Architectures of Vision
This book describes several mathematical models of the primary visual cortex, referring them to a vast ensemble of experimental data and putting forward an original geometrical model for its functional architecture, that is, the highly specific organization of its neural connections. The book spells out the geometrical algorithms implemented by this functional architecture, or put another way, the “neurogeometry” immanent in visual perception. Focusing on the neural origins of our spatial representations, it demonstrates three things: firstly, the way the visual neurons filter the optical signal is closely related to a wavelet analysis; secondly, the contact structure of the 1-jets of the curves in the plane (the retinal plane here) is implemented by the cortical functional architecture; and lastly, the visual algorithms for integrating contours from what may be rather incomplete sensory data can be modelled by the sub-Riemannian geometry associated with this contact structure. As such, it provides readers with the first systematic interpretation of a number of important neurophysiological observations in a well-defined mathematical framework. The book’s neuromathematical exploration appeals to graduate students and researchers in integrative-functional-cognitive neuroscience with a good mathematical background, as well as those in applied mathematics with an interest in neurophysiology.
£98.99
Stanford University Press Naturalizing Phenomenology: Issues in Contemporary Phenomenology and Cognitive Science
This ambitious work aims to shed new light on the relations between Husserlian phenomenology and the present-day efforts toward a scientific theory of cognition—with its complex structure of disciplines, levels of explanation, and conflicting hypotheses. The book’s primary goal is not to present a new exegesis of Husserl’s writings, although it does not dismiss the importance of such interpretive and critical work. Rather, the contributors assess the extent to which the kind of phenomenological investigation Husserl initiated favors the construction of a scientific theory of cognition, particularly in contributing to specific contemporary theories either by complementing or by questioning them. What clearly emerges is that Husserlian phenomenology cannot become instrumental in developing cognitive science without undergoing a substantial transformation. Therefore, the central concern of this book is not only the progress of contemporary theories of cognition but also the reorientation of Husserlian phenomenology. Because a single volume could never encompass the numerous facets of this dual aim, the contributors focus on the issue of naturalization. This perspective is far-reaching enough to allow for the coverage of a great variety of topics, ranging from general structures of intentionality, to the nature of the founding epistemological and ontological principles of cognitive science, to analyses of temporality and perception and the mathematical modeling of their phenomenological description. This book, then, is a collective reflection on the possibility of utilizing a naturalized Husserlian phenomenology to contribute to a scientific theory of cognition that fills the explanatory gap between the phenomenological mind and brain.
£40.50
Stanford University Press Naturalizing Phenomenology: Issues in Contemporary Phenomenology and Cognitive Science
This ambitious work aims to shed new light on the relations between Husserlian phenomenology and the present-day efforts toward a scientific theory of cognition—with its complex structure of disciplines, levels of explanation, and conflicting hypotheses. The book’s primary goal is not to present a new exegesis of Husserl’s writings, although it does not dismiss the importance of such interpretive and critical work. Rather, the contributors assess the extent to which the kind of phenomenological investigation Husserl initiated favors the construction of a scientific theory of cognition, particularly in contributing to specific contemporary theories either by complementing or by questioning them. What clearly emerges is that Husserlian phenomenology cannot become instrumental in developing cognitive science without undergoing a substantial transformation. Therefore, the central concern of this book is not only the progress of contemporary theories of cognition but also the reorientation of Husserlian phenomenology. Because a single volume could never encompass the numerous facets of this dual aim, the contributors focus on the issue of naturalization. This perspective is far-reaching enough to allow for the coverage of a great variety of topics, ranging from general structures of intentionality, to the nature of the founding epistemological and ontological principles of cognitive science, to analyses of temporality and perception and the mathematical modeling of their phenomenological description. This book, then, is a collective reflection on the possibility of utilizing a naturalized Husserlian phenomenology to contribute to a scientific theory of cognition that fills the explanatory gap between the phenomenological mind and brain.
£161.10
