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Author : Alessandro Sarti
Publisher : Springer Nature
Page : 297 pages
File Size : 47,9 Mb
Release : 2024-06-23
Category : Electronic
ISBN : 9783031519932
Author : Alessandro Sarti
Publisher : Springer
Page : 0 pages
File Size : 54,6 Mb
Release : 2024-03-02
Category : Technology & Engineering
ISBN : 3031519922
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.
Author : Wolfgang Wildgen,Per Aage Brandt
Publisher : Peter Lang
Page : 194 pages
File Size : 49,8 Mb
Release : 2010
Category : Catastrophes (Mathematics)
ISBN : 3034304676
The French mathematician René Thom (Fields medal 1958) died in 2002. In this volume his contributions to biology, semiotics and linguistics are discussed by a group of scholars who have continued his work and have shaped the new paradigm of dynamic semiotics and linguistics. Thom's heritage is full of revolutionary ideas and deep insights which stem from a rich intuition and a sharp awareness of the current state of the sciences, including their potentials and risks. The contributions to this volume are elaborations of papers given at a colloquium at the International Center for Semiotics and Linguistics of the University of Urbino (Italy), in 2005. The central concern of this volume is semiogenesis, i.e. the evolution and differentiation of meaningful («pregnant») forms in the field of symbolic systems - from bio-communication to language and cultural forms like music, art, architecture or urban forms. The basic questions are: How are meanings created and further differentiated? Where do they come from? What kind of forces drive their unfolding? How can complex cultural forms be understood based on simple morphodynamic principles? Applications concern the perception of forms by animals and humans, the categorization of forms e.g. in a lexicon, and predication or other complex symbolic behaviors which show up in grammar or in cultural artifacts like the unfolding of urban centers.
Author : Adalira Sáenz-Ludlow,Gert Kadunz
Publisher : Springer
Page : 232 pages
File Size : 52,7 Mb
Release : 2015-12-17
Category : Education
ISBN : 9789463003377
Semiotics as a Tool for Learning Mathematics is a collection of ten theoretical and empirical chapters, from researchers all over the world, who are interested in semiotic notions and their practical uses in mathematics classrooms. Collectively, they present a semiotic contribution to enhance pedagogical aspects both for the teaching of school mathematics and for the preparation of pre-service teachers. This enhancement involves the use of diagrams to visualize implicit or explicit mathematical relations and the use of mathematical discourse to facilitate the emergence of inferential reasoning in the process of argumentation. It will also facilitate the construction of proofs and solutions of mathematical problems as well as the progressive construction of mathematical conceptions that, eventually, will approximate the concept(s) encoded in mathematical symbols. These symbols hinge not only of mental operations but also on indexical and iconic aspects; aspects which often are not taken into account when working on the meaning of mathematical symbols. For such an enhancement to happen, it is necessary to transform basic notions of semiotic theories to make them usable for mathematics education. In addition, it is also necessary to back theoretical claims with empirical data. This anthology attempts to deal with such a conjunction. Overall, this book can be used as a theoretical basis for further semiotic considerations as well as for the design of different ways of teaching mathematical concepts.
Author : Norma Presmeg,Luis Radford,Wolff-Michael Roth,Gert Kadunz
Publisher : Springer
Page : 368 pages
File Size : 41,9 Mb
Release : 2018-01-23
Category : Education
ISBN : 9783319702872
This book discusses a significant area of mathematics education research in the last two decades and presents the types of semiotic theories that are employed in mathematics education. Following on the summary of significant issues presented in the Topical Survey, Semiotics in Mathematics Education, this book not only introduces readers to semiotics as the science of signs, but it also elaborates on issues that were highlighted in the Topical Survey. In addition to an introduction and a closing chapter, it presents 17 chapters based on presentations from Topic Study Group 54 at the ICME-13 (13th International Congress on Mathematical Education). The chapters are divided into four major sections, each of which has a distinct focus. After a brief introduction, each section starts with a chapter or chapters of a theoretical nature, followed by others that highlight the significance and usefulness of the relevant theory in empirical research.
Author : Dario Compagno
Publisher : Springer
Page : 189 pages
File Size : 47,9 Mb
Release : 2018-01-16
Category : Language Arts & Disciplines
ISBN : 9783319615936
This contributed volume gives access to semiotic researches adopting a quantitative stance. European semiotics is traditionally based on immanent methodologies: meaning is seen as an autonomous dimension of human existence, whose laws can be investigated via purely qualitative analytical and reflexive analysis. Today, researches crossing disciplinary boundaries reveal the limitations of such an homogeneous practice. In particular, two families of quantitative research strategies can be identified. On the one hand, researchers wish to naturalize meaning, by making semiotic results interact with those coming from Neurophysiological and psychological sciences. On the other hand, statistical and computational tools are adopted to work on linguistic and multimedia corpora. The book acts to put the two approaches into dialogue.
Author : Claudio Paolucci
Publisher : Springer Nature
Page : 167 pages
File Size : 42,5 Mb
Release : 2021-02-01
Category : Philosophy
ISBN : 9783030429867
This volume serves as a reference on the field of cognitive semantics. It offers a systematic and original discussion of the issues at the core of the debate in semiotics and the cognitive sciences. It takes into account the problems of representation, the nature of mind, the structure of perception, beliefs associated with habits, social cognition, autism, intersubjectivity and subjectivity. The chapters in this volume present the foundation of semiotics as a theory of cognition, offer a semiotic model of cognitive integration that combines Enactivism and the Extended Mind Theory, and investigate the role of imagination as the origin of perception. The author develops an account of beliefs that are associated with habits and meaning, grounded in Pragmatism, testing his Narrative Practice Semiotic Hypothesis on persons with autism spectrum disorders. He also integrates his ideas about the formation of the theory of mind with a theory of subjectivity, understood as self-consciousness which derives from semiotic cognitive abilities. This text appeals to students, professors and researchers in the field.
Author : Antonino Bondi,Yves-Marie Visetti,David Piotrowski
Publisher : Springer
Page : 0 pages
File Size : 40,9 Mb
Release : 2023-10-16
Category : Literary Criticism
ISBN : 3031424506
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.
Author : Jean Petitot
Publisher : Springer
Page : 379 pages
File Size : 40,8 Mb
Release : 2017-11-08
Category : Mathematics
ISBN : 9783319655918
This book describes several mathematical models of the primary visual cortex, referring them to a vast ensemble of experimental data and putting forward an original geometrical model for its functional architecture, that is, the highly specific organization of its neural connections. The book spells out the geometrical algorithms implemented by this functional architecture, or put another way, the “neurogeometry” immanent in visual perception. Focusing on the neural origins of our spatial representations, it demonstrates three things: firstly, the way the visual neurons filter the optical signal is closely related to a wavelet analysis; secondly, the contact structure of the 1-jets of the curves in the plane (the retinal plane here) is implemented by the cortical functional architecture; and lastly, the visual algorithms for integrating contours from what may be rather incomplete sensory data can be modelled by the sub-Riemannian geometry associated with this contact structure. As such, it provides readers with the first systematic interpretation of a number of important neurophysiological observations in a well-defined mathematical framework. The book’s neuromathematical exploration appeals to graduate students and researchers in integrative-functional-cognitive neuroscience with a good mathematical background, as well as those in applied mathematics with an interest in neurophysiology.
Author : Fernande Saint-Martin
Publisher : Bloomington : Indiana University Press
Page : 280 pages
File Size : 51,9 Mb
Release : 1987
Category : Language Arts & Disciplines
ISBN : UCSC:32106010287248
" . . . the details of Saint-Martin's argument contain a wealth of penetrating observations from which anyone with a serious interest in visual communication will profit." —Journal of Communication Saint-Martin elucidates a syntax of visual language that sheds new light on nonverbal language as a form of representation and communication. She describes the evolution of this language in the visual arts as well as its multiple uses in contemporary media. The result is a completely new approach for scholars and practitioners of the visual arts eager to decode the many forms of visual communication.
Author : Wolfgang Wildgen
Publisher : John Benjamins Publishing
Page : 130 pages
File Size : 48,8 Mb
Release : 1982-01-01
Category : Language Arts & Disciplines
ISBN : 9789027280602
René Thom, the famous French mathematician and founder of catastrophe theory, considered linguistics an exemplary field for the application of his general morphology. It is surprising that physicists, chemists, biologists, psychologists and sociologists are all engaged in the field of catastrophe theory, but that there has been almost no echo from linguistics. Meanwhile linguistics has evolved in the direction of René Thom’s intuitions about an integrated science of language and it has become a necessary task to review, update and elaborate the proposals made by Thom and to embed them in the framework of modern semantic theory.
Author : Sara G. Beardsworth,Randall E. Auxier
Publisher : Open Court Publishing
Page : 674 pages
File Size : 51,8 Mb
Release : 2017-05-09
Category : Philosophy
ISBN : 9780812699654
The Philosophy of Umberto Eco stands out in the Library of Living Philosophers series as the volume on the most interdisciplinary scholar hitherto and probably the most widely translated. The Italian philosopher’s name and works are well known in the humanities, both his philosophical and literary works being translated into fifteen or more languages. Eco is a founder of modern semiotics and widely known for his work in the philosophy of language and aesthetics. He is also a leading figure in the emergence of postmodern literature, and is associated with cultural and mass communication studies. His writings cover topics such as advertising, television, and children’s literature as well as philosophical questions bearing on truth, reality, cognition, language, and literature. The critical essays in this volume cover the full range of this output. This book has wide appeal not only because of its interdisciplinary nature but also because of Eco’s famous “high and low” approach, which is deeply scholarly in conception and very accessible in outcome. The short essay “Why Philosophy?” included in the volume is exemplary in this regard: it will appeal to scholars for its wit and to high school students for its intelligibility.
Author : Alessandro Sarti,Giovanna Citti,David Piotrowski
Publisher : Springer Nature
Page : 222 pages
File Size : 46,5 Mb
Release : 2022-07-15
Category : Mathematics
ISBN : 9783030977979
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.
Author : Federico Vercellone,Salvatore Tedesco
Publisher : Springer Nature
Page : 482 pages
File Size : 51,5 Mb
Release : 2020-12-01
Category : Philosophy
ISBN : 9783030513245
This book is a significant novelty in the scientific and editorial landscape. Morphology is both an ancient and a new discipline that rests on Goethe's heritage and re-forms it in the present through the concepts of form and image. The latter are to be understood as structural elements of a new cultural grammar able to make the late modern world intelligible. In particular, compared to the original Goethean project, but also to C.P. Snow's idea of unifying the “two cultures”, the fields of morphological culture that are the object of this glossary have profoundly changed. The ever-increasing importance of the image as a polysemic form has made the two concepts absolutely transitive, so to speak. This is concomitant with the emergence of a culture that revolves around the image, attracting the verbal logos into its orbit. Incidentally, even the hermeneutic relationship between past and present relies more and more on the image, causing deep changes in cultural environments. Form and image are not just bridging concepts, as in the field of ancient morphology, but real transitive concepts that define the state of a culture. From the Internet to smartphones, television, advertising, etc., we are witnessing – as Horst Bredekamp observes – an immense mass of images that fill our time and affect the most diverse areas of our culture. The ancient connection between science and art recalled by Goethe emerges with unusual evidence thanks to intersecting patterns and expressive forms that are sometimes shared by different forms of knowledge. Creating a glossary and a culture of these intersections is the task of morphology, which thus enters into the boundaries between aesthetics, art, design, advertising, and sciences (from mathematics to computer science, to physics, and to biology), in order to provide the founding elements of a grammar and a syntax of the image. The latter, in its formal quality, both expressive and symbolic, is a fundamental element in the unification of the various kinds of knowledge, which in turn come to be configured, in this regard, also as styles of vision. The glossary is subdivided into contiguous sections, within a complex framework of cross-references. In addition to the two curators, the book features the collaboration of a team of scholars from the individual disciplines appearing in the glossary.
Author : Tamar Flash,Alain Berthoz
Publisher : Springer Nature
Page : 265 pages
File Size : 54,5 Mb
Release : 2021-01-04
Category : Mathematics
ISBN : 9783030572273
This book is based on a two-day symposium at the Paris Institute of Advanced Study titled "space-time geometries and movement in the brain and the arts". It includes over 20 chapters written by the leading scientists and artists who presented their related research studies at the symposium and includes six sections; the first three focus on space-time geometries in perception, action and memory while the last three focus on specific artistic domains: drawing and painting, dance, music, digital arts and robotics. The book is accompanied by a dedicated webpage including related images and videos. There is an ever-growing interest in the topics covered by this book. Space and time are of fundamental importance for our understanding of human perception, action, memory and cognition, and are entities which are equally important in physics, biology, neuroscience and psychology. Highly prominent scientists and mathematicians have expressed their belief that our bodies and minds shape the ways we perceive space and time and the physical laws we formulate. Understanding how the brain perceives motion and generates -bodily movements is of great significance. There is also growing interest in studying how space, time and movement subserve artistic creations in different artistic modalities (e.g., fine arts, digital and performing arts and music). This interest is inspired by the idea that artists make intuitive use of the principles and simplifying strategies used by the brain in movement generation and perception. Building upon new understanding of the spatio-temporal geometries subserving movement generation and perception by the brain we can start exploring how artists make use of such neuro --geometrical and neuro-dynamic representations in order to express artistic concepts and emotionally affect the human observers and listeners. Scientists have also started formulating new ideas of how aesthetic judgements emerge from the principles and brain mechanisms subserving motor control and motion perception. Covering novel and multidisciplinary topics, this advanced book will be of interest to neuroscientists, behavioral scientists, artificial intelligence and robotics experts, students and artists.