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Author: Alessandro Sarti
Publisher: Springer Nature
ISBN: 3030977978
Category : Mathematics
Languages : en
Pages : 222
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Book Description
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: Alessandro Sarti
Publisher: Springer Nature
ISBN: 3030977978
Category : Mathematics
Languages : en
Pages : 222
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Book Description
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: Noëlle Batt
Publisher: Springer Nature
ISBN: 3031616499
Category :
Languages : en
Pages : 211
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Book Description
Author: Federico Vercellone
Publisher: Springer Nature
ISBN: 3030513246
Category : Philosophy
Languages : en
Pages : 482
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Book Description
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: Dario Compagno
Publisher: Springer
ISBN: 3319615939
Category : Language Arts & Disciplines
Languages : en
Pages : 193
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Book Description
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: Louis Schreel
Publisher: Bloomsbury Publishing
ISBN: 1350344907
Category : Philosophy
Languages : en
Pages : 299
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Book Description
What becomes of the sublime today, in a philosophy that discards the old oppositions between body and mind and embeds human reason in the creative evolution of life? In this book, Louis Schreel shows how Gilles Deleuze's life-long engagement with the Kantian sublime grappled with just this question. Its core argument centres on Deleuze's understanding of the sublime in terms of psychic individuation – a creative, self-organizing process that animates cognitive systems from within. Exploring Deleuze's transcendental philosophy through central concepts of self-organization, psychic individuation, passibility and infinity, this book shows how a new notion of the sublime emerges in a timely and novel way. In this way, Deleuze and the Immanent Sublime opens up an innovative perspective on transcendental philosophy, shedding new light on Deleuze's transcendental empiricism both in relation to Kant and to contemporary cognitive science. Engagement with previously untranslated writings from thinkers including Jean Petitot, Gilbert Simondon, Henri Maldiney and Erwin Straus adds further breadth to the development of Deleuze's ideas on the sublime in this systematic study.
Author: Michael J.Ardoline
Publisher: Edinburgh University Press
ISBN: 1399536362
Category : Biography & Autobiography
Languages : en
Pages : 362
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Book Description
Deleuze, Mathematics, Metaphysics provides new solutions to the central problems of the philosophy of mathematics by reconstructing Deleuze’s metaphysics. It does so through direct engagement with analytic and continental philosophy, along with the formal and natural sciences. These new Deleuzian solutions reject equally other-worldly accounts of mathematics, such as Platonism, and accounts which treat mathematics as a useful fiction or an empty formalist game. Instead, Deleuze, Mathematics, Metaphysics argues that mathematical truth is grounded in the necessity of difference itself. Since difference is entirely this-worldly, the truth of mathematics does not require us to posit the reality of transcendent entities or possible worlds. Doing so not only provides a new metaphysics of mathematics; it also explains the usefulness of mathematics for science and why mathematical truth appear to have such otherworldly properties in the first place.
Author: Stefania Caliandro
Publisher: Springer Nature
ISBN: 3030296318
Category : Philosophy
Languages : en
Pages : 142
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Book Description
This book deals with the complexity of art by focusing on the singularity of the work of art. Gathering a selection of writings in art theory and semiotics, it explores the question of apprehending art from its perceptual aspects to aesthetic comprehension and understanding. Theoretical enquiries focus in particular on the dynamics of the perception of forms, the semiotic value of colour, the aesthetic phenomenon of empathy, the function of vision in relation to other senses and its faculty to lead, in a substantial way, to the embodiment of sense. These theoretical points are constantly observed with reference to the analysis of works of art, especially from the beginning of the modern era, when a renovated psychophysical approach oriented the evolution of contemporary aesthetics. Research into art theories sheds light on how differentials in topologic positions, dimensions, relationships and tones contribute to the arising of forms and colours in perception, and affect the perceiver. The essays presented address in different ways the emergence of sense, by conceiving it as deeply anchored to the dynamics of perception, in addition to the cognitive disposition and knowledge, regardless of whether or not the subject (artist or beholder) is aware of these processes. Through in-depth analyses identifying to what extent the aesthetic moment builds on perceptual and semiotic processes, works of art are revealed to be singularities, reflecting the correlation with morphodynamics in the sciences.
Author: Alessandro Sarti
Publisher: Springer Nature
ISBN: 3031519930
Category :
Languages : en
Pages : 297
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Book Description
Author: Ruth Scheps
Publisher: John Wiley & Sons
ISBN: 1786306816
Category : Art
Languages : en
Pages : 194
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Book Description
Art and science are not separate universes. This book explores this claim by showing how mathematics, geometry and numerical approaches contribute to the construction of works of art. This applies not only to modern visual artists but also to important artists of the past. To illustrate this, this book studies Leonardo da Vinci, who was both an engineer and a painter, and whose paintings can be perfectly modeled using simple geometric curves. The world gains intelligibility through elegant mathematical frameworks – from the projective spaces of painting to the most complex phase spaces of theoretical physics. A living example of this interdisciplinarity would be the sculptures of Jean Letourneur, a specialist in both chaos sciences and carving, as evidenced in his stonework. This book also exemplifies the geometry and life of forms through contemporary works of art – including fractal art – which have never before been represented in this type of work.
Author: Natasha Lushetich
Publisher: Rowman & Littlefield
ISBN: 1538171597
Category : Philosophy
Languages : en
Pages : 337
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Book Description
Technology is a host of social, material, and epistemic transformation techniques, tools, and methods. The common perception of digital technology today is that it is determined, even over-determined. This volume suggests a different view: the digital is indeterminate. Mobilising insights from philosophy, art and architecture theory, mathematics, computer science and anthropology, it situates digital indeterminacy within the wider context of material and immaterial processes, causations, triggerings, and their performative working. The book’s tripartite structure reflects technology’s inherent capacity to transform knowledges, practices, and time. Part I: Social-Digital Technologies juxtaposes arguments for machinic indeterminacy to those of overdetermination in blockchain, cognitive augmentation, and digital ideology. Part II: Spatial, Temporal, Aural and Visual Technologies delves deeper into received ideas about technologies for building spatial structures, manufacturing instruments and constructing the visual space. Part III: Epistemic Technologies analyses the use of plasticity in cognitive science, contingency in thinking habits, ontogenesis in experimental computing, and divination techniques with an inbuilt margin of indeterminacy. List of contributors: Franco 'Bifo' Berardi, Iain Campbell, Stephen Darren Dougherty, Aden Evens, Oswaldo Emiddio Vasquez Hadjilyra, Stavros Kousoulas, Natasha Lushetich, Peteer Müürsepp, Luciana Parisi, Andrej Radman, Alesha Serada, Dominic Smith, Sha Xin Wei, Joel White, Ashley Woodward, and David Zeitlyn.
