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Morphology, Neurogeometry, Semiotics : A Festschrift in Honor of Jean Petitot 's 80th Birthday / edited by Alessandro Sarti.

Springer Nature - Springer Mathematics and Statistics eBooks 2024 English International Available online

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Format:
Book
Author/Creator:
Sarti, Alessandro.
Series:
Lecture Notes in Morphogenesis, 2195-1942
Language:
English
Subjects (All):
Dynamics.
Nonlinear theories.
Engineering mathematics.
Engineering--Data processing.
Engineering.
Applied Dynamical Systems.
Mathematical and Computational Engineering Applications.
Local Subjects:
Applied Dynamical Systems.
Mathematical and Computational Engineering Applications.
Physical Description:
1 online resource (297 pages)
Edition:
1st ed. 2024.
Place of Publication:
Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
Summary:
Jean Petitot is a polyhedric thinker whose contributions has been fundamental in a number of disciplines, such as epistemology, morphodynamics, differential geometry, structural semiotics, neurogeometry, phenomenology, linguistics, cognitive grammars, the theory of catastrophes, social sciences, literary studies, and aesthetics. This book is a homage to his huge contribution about the main concepts of morphogenesis and meaning that constitute the center of gravity around which Petitotian reflection revolves and returns. The scientific path of Jean Petitot develops between these two poles, topology and meaning. At stake it was to challenge the hiatus separating the exact sciences from the humanities that was the main point of the Petitot seminar of EHESS Epistemology of Models. By designing the appropriate qualitative dynamics between the two poles, form and meaning, it is possible to understand the Saussurian sign in structural semiotics, or the Greimasian semiotic square for deep narrative structures or even the canonical formula of the myth of Lévi Strauss in structural anthropology. These are just few results in applying the theory of catastrophes to the emergence of meaning. The book is a collection of testimonies by distinguished authors who worked extensively with Jean Petitot in the different fields of Mathematics, Neurogeometry, Semiotics, Aesthetics, and Epistemology. An extensive bibliography of Petitot’s work is also presented. .
Contents:
Introduction
On objectivity and meaning in mathematics
Le vrai, le faux, l’insignifiant
Concept, sense and reality
The Manifold Man
Enchanted & Actual Spaces
Cortical functional architectures as Contact and Sub-Riemannian Geometry
Jean Petitot, semiotician
Naturalizing Semiotics. Perspectives and Limitations
Differentiality: from Saussure to morphodynamics
Three Fundamental Contributions by Jean Petitot to Semiotics
The construction of meaning in vision – Three examples: Bonnard, Hammershøi, Poussin
Plasticity and aesthesia: towards a semiotics of art encompassing the sensitive dynamics
Minimizing cognitive representation
Geometry and Cognition: From the foundations of mathematics to theories of knowledge and cognition
The delicate frontier between schematism and reflection
Jean Petitot’s New Enlightenment.
Notes:
Description based on publisher supplied metadata and other sources.
Other Format:
Print version: Sarti, Alessandro. Morphology, Neurogeometry, Semiotics
ISBN:
9783031519932
OCLC:
1438669553

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