04110nam a22004935i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001400153050001400167072001600181072001700197072002300214072001500237072001600252245015400268250001800422264006900440300006300509336002600572337002600598338003600624347002400660490004700684505087800731520147301609650001403082650002403096650002903120650003403149650003103183650006103214700008003275710003403355773002603389776003603415776003603451776003603487830004703523856004603570978-3-031-51993-2DE-He21320251030112255.0cr nn 008mamaa240603s2024    sz |    s    |||| 0|eng d  a97830315199327 a10.1007/978-3-031-51993-22doi 4aTA352-356 4aQC20.7.N6 7aTBJ2bicssc 7aGPFC2bicssc 7aSCI0640002bisacsh 7aTBJ2thema 7aGPFC2thema10aMorphology, Neurogeometry, Semioticsh[electronic resource] :bA Festschrift in Honor of Jean Petitot 's 80th Birthday /cedited by Alessandro Sarti.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aX, 267 p. 49 illus., 28 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aLecture Notes in Morphogenesis,x2195-19420 aIntroduction -- On objectivity and meaning in mathematics -- Le vrai, le faux, l’insignifiant -- Concept, sense and reality -- The Manifold Man -- Enchanted & Actual Spaces -- Cortical functional architectures as Contact and Sub-Riemannian Geometry -- Jean Petitot, semiotician -- Naturalizing Semiotics. Perspectives and Limitations -- Differentiality: from Saussure to morphodynamics -- Three Fundamental Contributions by Jean Petitot to Semiotics -- The construction of meaning in vision – Three examples: Bonnard, Hammershøi, Poussin -- Plasticity and aesthesia: towards a semiotics of art encompassing the sensitive dynamics -- Minimizing cognitive representation -- Geometry and Cognition: From the foundations of mathematics to theories of knowledge and cognition -- The delicate frontier between schematism and reflection -- Jean Petitot’s New Enlightenment.  aJean 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. . 0aDynamics. 0aNonlinear theories. 0aEngineering mathematics. 0aEngineeringxData processing.14aApplied Dynamical Systems.24aMathematical and Computational Engineering Applications.1 aSarti, Alessandro.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303151992508iPrinted edition:z978303151994908iPrinted edition:z9783031519956 0aLecture Notes in Morphogenesis,x2195-194240uhttps://doi.org/10.1007/978-3-031-51993-2