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

 
9786132670922: Mathematics, Form and Function: Mathematics, Saunders Mac Lane, Conceptual metaphor, Cognitive science, Cognitive science of mathematics, Embodied philosophy
Couverture souple
ISBN 10 : 6132670920 ISBN 13 : 9786132670922
Editeur : Alphascript Publishing, 2010

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Alphascript Publishing
Date d'édition
2010
Langue
anglais
ISBN 10 
6132670920
ISBN 13 
9786132670922
Reliure
Broché
Nombre de pages
80
Éditeur
Miller Frederic P., Vandome Agnes F., McBrewster John
Coordonnées du fabricant
non disponible
Personne responsable
non disponible