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Langages formels --- Formal languages. --- Informatique --- Computer science --- Arithmetique --- Mathématiques --- Mathematics. --- Numeration --- Arithmetique --- Numeration

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Retrace l'origine et la genèse du nombre et des classes selon Piaget et ses collaboratrices, et dresse l'état actuel des recherches essentielles que suscitent le nombre et la catégorisation, en soulignant leurs différents enjeux épistémologiques et pratiques.

Logic, Symbolic and mathematical --- Number concept --- Child psychology --- Logique symbolique et mathématique --- Concept de nombre --- Enfants --- Psychologie --- Piaget, Jean, --- Logique symbolique et mathématique --- Child psychology. --- Arithmétique --- Mathématiques --- Constructivisme (psychologie) --- Innéisme (psychologie) --- Nombre, Idée de --- Calcul --- Catégorisation (psychologie) --- Raisonnement --- Psychologie de l'enfant. --- Apprentissage --- Épistémologie. --- Aspect psychologique. --- Chez l'enfant. --- Acquisition linguistique. --- Enfant. --- Piaget, Jean --- Critique et interprétation.

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"The Brain- From Fuzzy Arithmetic to Quantum Computing" presents an original and astounding new understanding of the brain by taking into account novel achievements in Fuzziness and Quantum Information Theory. Bringing together Neuroscience, Soft Computing, Quantum Theory, and recent developments in mathematics the actual knowledge about the brain functioning is formalized into a coherent theoretical framework. This monograph develops new and powerful neural models providing formal descriptions of biochemical transactions in the brain to guide neuroscience experiments and to better interpret their results. This book demonstrates how the physiology of the neuron can be understood based on the fundamentals of fuzzy formal languages and introduces the basics of quantum computation and quantum information to the brain. It discusses how molecular transactions at the cellular level implement such concepts, shows how certain neural structures, like the dendritic spine, are specialized to function as quantum computing devices and demonstrates how the brain can be viewed as a quantum processing intelligent system.

Neural networks (Neurobiology) --- Bioinformatics. --- Fuzzy arithmetic. --- Soft computing. --- Réseaux neuronaux (Neurobiologie) --- Bio-informatique --- Arithmétique floue --- Informatique douce --- Bioinformatics --- Fuzzy arithmetic --- Soft computing --- Models, Theoretical --- Nuclear Physics --- Central Nervous System --- Logic --- Models, Biological --- Natural Science Disciplines --- Artificial Intelligence --- Physics --- Philosophy --- Investigative Techniques --- Disciplines and Occupations --- Computing Methodologies --- Nervous System --- Information Science --- Humanities --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Anatomy --- Brain --- Fuzzy Logic --- Models, Neurological --- Quantum Theory --- Mathematics --- Civil & Environmental Engineering --- Human Anatomy & Physiology --- Engineering & Applied Sciences --- Health & Biological Sciences --- Civil Engineering --- Neuroscience --- Applied Mathematics --- Bio-informatics --- Biological informatics --- Biological neural networks --- Nets, Neural (Neurobiology) --- Networks, Neural (Neurobiology) --- Neural nets (Neurobiology) --- Mathematics. --- Neurosciences. --- Neurology. --- Artificial intelligence. --- Quantum computers. --- Applied mathematics. --- Engineering mathematics. --- Quantum Computing. --- Appl.Mathematics/Computational Methods of Engineering. --- Artificial Intelligence (incl. Robotics). --- Biology --- Information science --- Computational biology --- Systems biology --- Engineering --- Engineering analysis --- Mathematical analysis --- Computers --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Medicine --- Nervous system --- Neuropsychiatry --- Neural sciences --- Neurological sciences --- Medical sciences --- Math --- Science --- Data processing --- Diseases --- Cognitive computing --- Computational intelligence --- Arithmetic --- Fuzzy sets --- Cognitive neuroscience --- Neurobiology --- Neural circuitry --- Mathematical and Computational Engineering. --- Artificial Intelligence. --- Neurology .