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Titlebook: Handbook of Cognitive Mathematics; Marcel Danesi Living reference work 20210th edition set theory.geometry.computational neuroscience.con

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Understanding Dialogue for Human Communication,under different perspectives, by linguists, cognitive scientists, and philosophers and, in the last decades, by computer scientists. This chapter shows the progress achieved in computational linguistics to design formal models of dialogues and exploit them in human-machine systems. We highlight that
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Diagrammatic Mathematics,tics with which they are related and show how one can learn to work with that mathematics by going back to the diagrams, even from places that seem highly conceptual. In this way, this chapter describes the work with diagrams as a microcosm of mathematical creativity.
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Knowing by Drawing: Mathematics as Gesture,to a radical rethinking of this intellectualist approach, above all in the French philosophy of mathematics. In recent decades, many authors have pointed out the diagrammatic nature of our doing of mathematics as a way to understand its synthetic ability to grasp reality. Using Charles S. Peirce’s p
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Developmental Brain Dynamics: From Quantity Processing to Arithmetic,have begun to investigate the neurocognitive mechanisms associated with the development of these abilities. The present chapter summarizes our current knowledge about the functional brain organization related to the processing of basic numerical information and arithmetic. Relevant neurocognitive mo
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