Differential heterogenesis : mutant forms, sensitive bodies / Alessandro Sarti, Giovanna Citti, David Piotrowski.
Sarti, Alessandro, author.; Citti, Giovanna, author.; Piotrowski, David, author.
2022
QA641
Available Online

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Title Differential heterogenesis : mutant forms, sensitive bodies / Alessandro Sarti, Giovanna Citti, David Piotrowski.
Author Sarti, Alessandro, author.
ISBN 9783030977979 (electronic bk.)
3030977978 (electronic bk.)
9783030977962 (print)
303097796X
DOI https://doi.org/10.1007/978-3-030-97797-9
Published Cham, Switzerland : Springer, 2022.
Language English
Description 1 online resource (x, 217 pages) : illustrations (some color).
Other Standard Identifiers 10.1007/978-3-030-97797-9 doi
Call Number QA641
Dewey Decimal Classification 516.3/6
Summary 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 continously 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.
Bibliography, etc. Note Includes bibliographical references and indexes.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed July 20, 2022).
Added Author Citti, Giovanna, author.
Piotrowski, David, author.
Series Lecture notes in morphogenesis, 2195-1942
Available in Other Form Print version: 9783030977962
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Introduction
Elements of morphodynamics
Multiplicity and Assemblages
Differential heterogenesis
Differential cognitive neuroscience
Expression and semiogenesis
Chiusa: Morphodynamic poetry
Plates.

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