Authors:
- 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
Part of the book series: Lecture Notes in Morphogenesis (LECTMORPH)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
About this book
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.
Authors and Affiliations
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CNRS-EHESS, CAMS Center for Mathematics, Paris, France
Alessandro Sarti
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Department of Mathematics, University of Bologna, Bologna, Italy
Giovanna Citti
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CNRS-EHESS, LIAS Linguistics, Anthropology, Sociolin, Paris, France
David Piotrowski
Bibliographic Information
Book Title: Differential Heterogenesis
Book Subtitle: Mutant Forms, Sensitive Bodies
Authors: Alessandro Sarti, Giovanna Citti, David Piotrowski
Series Title: Lecture Notes in Morphogenesis
DOI: https://doi.org/10.1007/978-3-030-97797-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-030-97796-2Published: 16 July 2022
Softcover ISBN: 978-3-030-97799-3Published: 16 July 2023
eBook ISBN: 978-3-030-97797-9Published: 15 July 2022
Series ISSN: 2195-1934
Series E-ISSN: 2195-1942
Edition Number: 1
Number of Pages: X, 217
Number of Illustrations: 28 b/w illustrations, 46 illustrations in colour
Topics: Differential Geometry, Phenomenology, Morphology, Hermeneutics, Manifolds and Cell Complexes (incl. Diff.Topology)