Diagrams and Gestures: Mathematics, Philosophy, and Linguistics

ISBN-13: 9783031291104 / Angielski

Francesco La Mantia; Charles Alunni; Fernando Zalamea

Opis

Drawing a line, and then another, and another. Go back from the lines to the movements they capture and see gestures in them: not spatial displacements, but modes of knowledge that pass through the exercise of the body. Discovering something new in a gesture: the line that contracts into a point or the point that expands into a zone, perhaps sinking into a hole. Thus experiencing a diagram: a becoming other inscribed in the novelty of the gesture and in the changes of the forms it shapes. This and much more is discussed in the essays gathered in Diagrams and Gestures. Resulting from trans-disciplinary work between mathematicians, philosophers, linguists and semioticians, the volume delivers an up-to-date account of the most valuable research on the connections between gesture and diagram. As one of the most important themes in contemporary thought, the study of these connections poses a challenge for the future: to elaborate a theory that is equal to new and stimulating research methodologies. We call this theory a philosophy of diagrammatic gestures.

Spis treści

Almost an Introduction. From the Basilar Notions to the Legacy of Gilles Châtelet.- The Gestural Construction of Musical Time.- Gilberte’s Gesture and the Commutative Combray.- Existential Graphs as an Outstanding Case of the Use of Diagrams in Mathematics.- 54 Gestures on Higher Mathematics, and Their Use for a Diagrammatic Approach to the Question “What is Mathematics?”.- The Diagram: Demon of Proof.- Gesture, a new tool for a different vision of synthetic reasoning.- Diagrammatic Gestures of Friendship in Plato’s Meno.- The Act of Writing.- Introductory Note.- The Diagram on Stage: Movement, Gesture and Writing.- Meta-morphosis: Kinesis and Semiosis in Language. Concerning a Theory of Enunciation.- Fluid formalism.- But What about Cam Structure? Notes for an Enunciative Diagrammatology.- Diagrams, Gestures, and Meaning. A Cognitive-Semiotic View.- Continuous versus Discrete Diagrams as the Background of Morphologies in Nature and Semiosis.- As a Kleiner Narr in Trance. Towards a Diagrammatic Model of Enunciation.