Alessandro Sarti: Differential Heterogenesis

Cover: 9783030977993 | Differential Heterogenesis | Mutant Forms, Sensitive Bodies | Buch | x

Rückseite: 9783030977993 | Differential Heterogenesis | Mutant Forms, Sensitive Bodies | Buch | x

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Sprache: Englisch

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Beschreibung

This book describes about unlike usual differential dynamics common in mathematical physics, heterogenesis is based on the assemblage of differential constraints that are different from point to point. The construction of differential assemblages will be introduced in the present study from the mathematical point of view, outlining the heterogeneity of the differential constraints and of the associated phase spaces, that are continuously changing in space and time. If homogeneous constraints well describe a form of swarm intelligence or crowd behaviour, it reduces dynamics to automatisms, by excluding any form of imaginative and creative aspect. With this study we aim to problematize the procedure of homogeneization that is dominant in life and social science and to outline the dynamical heterogeneity of life and its affective, semiotic, social, historical aspects. Particularly, the use of sub-Riemannian geometry instead of Riemannian one allows to introduce disjointed and autonomous areas in the virtual plane. Our purpose is to free up the dynamic becoming from any form of unitary and totalizing symmetry and to develop forms, action, thought by means of proliferation, juxtaposition, and disjunction devices.

After stating the concept of differential heterogenesis with the language of contemporary mathematics, we will face the problem of the emergence of the semiotic function, recalling the limitation of classical approaches (Hjelmslev, Saussure, Husserl) and proposing a possible genesis of it from the heterogenetic flow previously defined. We consider the conditions under which this process can be polarized to constitute different planes of Content (C) and Expression (E), each one equipped with its own formed substances. A possible (but not unique) process of polarization is constructed by means of spectral analysis, that is introduced to individuate E/C planes and their evolution. The heterogenetic flow, solution of differential assemblages, gives rise to forms that are projected onto the planes, offering a first referring system for the flow, that constitutes a first degree of semiosis.

Zusammenfassung

Presents the concept of differential heterogenesis in mathematical language

Addresses the problem of the emergence of the semiotic function

Written by experts in the field

Inhaltsverzeichnis

Introduction.- Elements of morphodynamics.- Multiplicity and Assemblages.- Differential heterogenesis.- Differential cognitive neuroscience.- Expression and semiogenesis.- Chiusa: Morphodynamic poetry.- Plates

Details

Erscheinungsjahr:	2023
Fachbereich:	Geometrie
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	x 217 S. 28 s/w Illustr. 46 farbige Illustr. 217 p. 74 illus. 46 illus. in color.
ISBN-13:	9783030977993
ISBN-10:	3030977994
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Sarti, Alessandro Piotrowski, David Citti, Giovanna
Auflage:	1st edition 2022
Hersteller:	Springer Nature Switzerland Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 13 mm
Von/Mit:	Alessandro Sarti (u. a.)
Erscheinungsdatum:	16.07.2023
Gewicht:	0,353 kg