David Piotrowski – författare

This book develops a morphodynamical approach to linguistic and sign structures as an integrated response to multilevel and interrelated problems in semiolinguistic research. More broadly, the content is linked to the realities of living speech through a connection (via the concept of diacriticity) with the Merleau-Pontian phenomenology, and beyond the formal determinations of a semiolinguistic system and its calculus. Such problems are mainly epistemological (concerning the nature and legitimate scope of semiolinguistic knowledge), empirical (concerning the observational device and the data’s composition), and theoretical (regarding the choice of a conceptual and formalized explicative frame). With regard to theory, the book introduces a morphodynamical architecture of linguistic signs and operations as a suitable mathematization of Saussurean theory. The Husserlian phenomenological signification of this formal apparatus is then established, and, from an empirical standpoint, its compatibility with neurobiological experimental results is discussed.

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.

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.

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.

What do we mean by semiotic perception? Why should the concepts of perception and expressivity be reinterpreted within the encompassing framework of a dynamic theory of semiotic fields and forms?  Can we redeploy the concept of form in such a way as to make explicit such a native solidarity (‘chiasmatic’ would have said Merleau-Ponty) between perception, praxis and expression -- and first and foremost in the activity of language, right to the heart of the life of the social and speaking animal that we are? What then would be the epistemological and ontological consequences, and how might this affect the way we describe semiolinguistic forms? This book aims to provide answers to these questions by opening up avenues of research on how to understand the linguistic and semiotic dimensions at work in the constitution of experience, both individual and collective.

What do we mean by semiotic perception? Why should the concepts of perception and expressivity be reinterpreted within the encompassing framework of a dynamic theory of semiotic fields and forms?  Can we redeploy the concept of form in such a way as to make explicit such a native solidarity (‘chiasmatic’ would have said Merleau-Ponty) between perception, praxis and expression -- and first and foremost in the activity of language, right to the heart of the life of the social and speaking animal that we are? What then would be the epistemological and ontological consequences, and how might this affect the way we describe semiolinguistic forms? This book aims to provide answers to these questions by opening up avenues of research on how to understand the linguistic and semiotic dimensions at work in the constitution of experience, both individual and collective.

This book develops a morphodynamical approach to linguistic and sign structures as an integrated response to multilevel and interrelated problems in semiolinguistic research. More broadly, the content is linked to the realities of living speech through a connection (via the concept of diacriticity) with the Merleau-Pontian phenomenology, and beyond the formal determinations of a semiolinguistic system and its calculus. Such problems are mainly epistemological (concerning the nature and legitimate scope of semiolinguistic knowledge), empirical (concerning the observational device and the data’s composition), and theoretical (regarding the choice of a conceptual and formalized explicative frame). With regard to theory, the book introduces a morphodynamical architecture of linguistic signs and operations as a suitable mathematization of Saussurean theory. The Husserlian phenomenological signification of this formal apparatus is then established, and, from an empirical standpoint, its compatibility with neurobiological experimental results is discussed.