Mathematics, Form and Function: Mathematics, Saunders Mac Lane, Conceptual metaphor, Cognitive science, Cognitive science of mathematics, Embodied philosophy - Tapa blanda

Sinopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Mathematics, Form and Function is a survey of the whole of mathematics, including its origins and deep structure, by the American mathematician Saunders Mac Lane. Throughout his book, and especially in chapter I.11, Mac Lane informally discusses how mathematics is grounded in more ordinary concrete and abstract human activities. This section sets out a summary of his views on the human grounding of mathematics. Mac Lane is noted for co-founding the field of category theory, which enables a far-reaching, unified treatment of mathematical structures and relationships between them at the cost of breaking away from their cognitive grounding. Nonetheless, his views -however informal- are a valuable contribution to the philosophy and anthropology of mathematics which anticipates, in some respects, the much richer and more detailed account of the cognitive basis of mathematics given by George Lakoff and Rafael E. Nunez in Where Mathematics Comes From. Lakoff and Nunez argue that mathematics emerges via conceptual metaphors grounded in the human body, its motion through space and time, and in human sense perceptions.

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