09066nam 22004453 450 991086523380332120240606080239.09783031519932(electronic bk.)9783031519925(MiAaPQ)EBC31364734(Au-PeEL)EBL31364734(CKB)32228073400041(EXLCZ)993222807340004120240606d2024 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierMorphology, Neurogeometry, Semiotics A Festschrift in Honor of Jean Petitot 's 80th Birthday1st ed.Cham :Springer International Publishing AG,2024.©2024.1 online resource (297 pages)Lecture Notes in Morphogenesis SeriesPrint version: Sarti, Alessandro. Morphology, Neurogeometry, Semiotics Cham : Springer International Publishing AG,c2024 9783031519925 Intro -- Foreword -- Contents -- 1 Introduction -- 1.1 Jean Petitot: A Multiverse of Science and Humanities -- 1.2 Neurogeometry and Mathematics -- 1.3 Semiotics and Aesthetics -- 1.4 Epistemology and Phenomenology -- 1.5 Selected List of Publications of Jean Petitot -- 1.5.1 Authored Books -- 1.5.2 Edited Books -- 1.5.3 Special Issues of Journals -- 1.5.4 Papers -- References -- Part I Mathematics -- 2 On Objectivity and Meaning in Mathematics -- 2.1 Conclusion -- References -- 3 Le vrai, le faux, l'insignifiant -- 3.1 Limites, bords, frontières, ellipsis… -- 3.2 La rigueur formelle contre le sens? -- 3.2.1 Rigueur et logique -- 3.2.2 La Variété infinie et joyeuse des formes -- 3.2.3 Quel langage? -- 3.2.4 La rigueur ... a posteriori -- 3.3 Oublier les cas trop particuliers ellipsis… -- 3.3.1 Le général et le particulier : Poincaré -- 3.3.2 Transversalité, stratifications : Thom -- 3.3.3 Orbites ou pseudo-orbites ? : Laskar -- 3.3.4 Information et probabilité : Shannon -- 3.4 ellipsis… ou les détails trop précis -- 3.5 Du faux lorsqu'il se révèle fécond -- 3.5.1 Une erreur célèbre de Poincaré -- 3.5.2 Questions d'échelle ou: quand l'insignifiant devient signifiant -- 3.5.3 Une erreur de Thom -- 3.5.4 D'autres erreurs fécondes -- 3.5.5 Des dogmes utiles -- 3.6 Même pas faux! -- References -- 4 Concept, Sense and Reality -- 4.1 Results -- 4.2 Examples -- 4.3 The Scheme of Meaning -- 4.4 From Things to Relations -- 4.5 A Quick Tour of History -- 4.6 A Scheme of Knowledge -- 4.7 Two Ancient Schools -- References -- Part II Neurogeometry -- 5 The Manifold Man -- 5.1 The Man of Many Humanities -- 5.2 Meeting the Man -- 5.3 Teaching Interdisciplinarity-The Journal of Physiology (Paris) Experience -- 5.4 Teaching Interdisciplinarity at the Ecole Polytechnique -- 5.5 Geometry and Brain Sciences -- 5.6 Final Words -- References.6 Enchanted and Actual Spaces -- 6.1 Introduction -- 6.2 Formal Geometries -- 6.2.1 Alberti and Scenographic Geometry -- 6.2.2 The Geometry from a Picture Viewer's Perspective -- 6.2.3 Pictures and Windows -- 6.3 Conclusions -- References -- 7 Cortical Functional Architectures as Contact and Sub-riemannian Geometry -- 7.1 Introduction -- 7.2 From Functional Geometry to Differential Structure via Contactization, Symplectization and Sub-riermannian Lifting -- 7.2.1 The Retinal Plane -- 7.2.2 Simple Cells, Modeled via Contactization and Symplectization -- 7.2.3 Complex Cells as Extension of Simple Cells Space as Contact or Subriemannian Structures -- 7.2.4 Further Extension: Hierarchically Higher Families of Cells -- 7.3 From Differential Structure to Lie Groups Representation as Models of Receptive Profiles -- 7.3.1 The Retinal Plane: A Commutative Group -- 7.3.2 Simple Cells Receptive Profiles -- 7.3.3 Complex Cells Receptive Profiles -- 7.3.4 Receptive Profiles of Hierarchically Higher Cells -- 7.4 Cortical Connectivity and Horizontal Curves -- 7.4.1 Fiber Bundle Structure and the Hypercolumnar Structure -- 7.4.2 Cortical Connectivity of Simple Cells -- 7.4.3 Cortical Connectivity of Complex Cells -- 7.4.4 Cortical Connectivity of Hyerarchically Higer Cells -- 7.5 Action and Functionality of Receptive Profiles, as Bargmann Transform -- 7.5.1 Action of Receptive Profiles as Bargmann Transform -- 7.5.2 Action of Intracortical Connectivity and Feature Selection -- 7.6 Discussion -- References -- Part III Semiotics -- 8 Jean Petitot, Semiotician -- 8.1 A Deferred Meeting -- 8.2 A Convergence of Projects -- 8.3 The Petitot/Coquet Debate. Focus of His Research -- 8.4 From Piero Della Francesca to Cranach the Elder -- 8.5 To Conclude -- References -- 9 Naturalizing Semiotics. Perspectives and Limitations -- 9.1 Introduction.9.2 Structuralism: Historical Sources and Theoretical Limitations -- 9.3 Natural Philosophy and the Program of Naturalization in Linguistics and Semiotics -- 9.3.1 Semantic Archetypes and Semiophysics -- 9.3.2 The Correct Application of Qualitative Mathematics in the Humanities. The Strategies of Petitot, Brandt, and Wildgen -- 9.4 The Nature of Semiotic Phenomena and the Limits of a Morphodynamic Description -- 9.5 Different Notions of Dynamics and a Range of Methodological Alternatives -- 9.6 Conclusions -- References -- 10 Differentiality: From Saussure to Morphodynamics -- 10.1 Prologue -- 10.2 Introduction and Generalities -- 10.3 Back to Saussure: In Search of Phenomena -- 10.4 "Viewpoints" and Empirical Knowledge -- 10.5 Abstraction/Generalization -- 10.6 Review and Transition -- 10.7 Awareness and Difference -- 10.8 Wrap-Up and Return to Differentiation -- 10.9 The Morphodynamic Solution -- 10.10 To Conclude -- Bibliography -- 11 Three Fundamental Contributions by Jean Petitot to Semiotics -- 11.1 The Topological Intuition of Structuralism and Interpretive Semiotics (The "Localist Hypothesis") -- 11.2 Narrativity -- 11.3 The Birth of Cognitive Semiotics -- 11.4 Conclusions -- References -- Part IV Aesthetics -- 12 The Construction of Meaning in Vision-Three Examples: Bonnard, Hammershøi, Poussin -- 12.1 Preamble-A Too Short Personal Note -- 12.2 Pierre Bonnard, The Merchant of Four Seasons. Perceptual Grouping: The Defunctionalization of Objects and Their Refunctionalization as Significant Shapes -- 12.3 Vilhelm Hammershøi. The Dynamicity of Silent Shapes -- 12.4 Poussin, Venus Presenting Arms to Aeneas. Non-genericity as a Tool for Meaning-Making -- 12.4.1 Attention and Visual Meaning -- 12.4.2 Non-genericity in World Perception and in Image Perception -- 12.4.3 Non-genericity and Semiotic Intentionality.12.4.4 Non-genericity as a Compositional Technique -- 12.5 In Guise of a Conclusion -- References -- 13 Plasticity and Aesthesia: Towards a Semiotics of Art Encompassing the Sensitive Dynamics -- References -- Part V Epistemology -- 14 Minimizing Cognitive Representation -- 14.1 Representation and Cognitive Philosophy -- 14.2 Defining the General Problem of Cognitive Representationalism -- 14.3 Defining the Problem of Minimal Cognitive Representationalism -- 14.4 The Hypothesis of Hyperminimal Cognitive Representationalism -- 14.5 The Minimal Representation Debate -- 14.5.1 Delineating the Minimal Representation Debate -- 14.5.2 Qualitatively Minimized Cognitive Representationalism: Clark's Proposal -- 14.5.3 Qualitatively Minimized Cognitive Representationalism: Wheeler's Proposal -- 14.5.4 Gallagher's Hypermaximalist Objection -- 14.6 The Persistance of the Symbolic Prejudice -- References -- 15 Geometry and Cognition from the Foundations of Mathematics to Theories of Knowledge and Cognition -- 15.1 The Origin of a Debate -- 15.2 Geometry: From a Science of Space to a Science of Movement in Space -- 15.3 Epistemology and Genesis -- 15.4 The Constitution of Mathematical Invariants: Their Cognitive Interest -- 15.5 Infinity and Geometry: From Continuity to Dynamical Systems -- 15.6 Computing -- 15.7 Conclusions -- References -- 16 The Delicate Frontier Between Schematism and Reflection -- 16.1 Introduction -- 16.2 First Example of Analogy: Structural Stability and an Analogy from Embryology to Development -- 16.3 Second Example of Analogy: From Physical Pregnance to Biological Pregnance -- 16.4 Summary and Final Remarks -- References -- 17 Jean Petitot's New Enlightenment -- 17.1 Introduction -- 17.2 Epistemology and Transcendental Tradition -- 17.3 The Naturalization of the Phenomenological Experience.17.4 The Emancipatory Value of Science and Technology -- 17.5 The Naturalization of the Social Sciences -- 17.6 Gobetti, Class Struggle and Spontaneous Order -- References.Lecture Notes in Morphogenesis Series574.4Sarti Alessandro743416MiAaPQMiAaPQMiAaPQ9910865233803321Morphology, Neurogeometry, Semiotics4169763UNINA