Poetic Logic and the Origins of the Mathematical Imagination
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Poetic Logic and the Origins of the Mathematical Imagination

Marcel Danesi

  • Springer

  • Publication date : 2023-08-01

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This book treats eighteenth-century Italian philosopher Giambattista Vico’s theory of poetic logic for the first time as the originating force in mathematics, transforming instinctive counting and spatial perception into poetic (metaphorical) symbolism that dovetails with the origin of language. It looks at current work on mathematical cognition (from Lakoff and Núñez to Butterworth, Dehaene, and beyond), matching it against the poetic logic paradigm. In a sense, it continues from where Kasner and Newman left off, connecting contemporary research on the mathematical mind to the idea that the products of early mathematics were virtually identical to the first forms of poetic language. As such, this book informs the current research on mathematical cognition from a different angle, by looking back at a still relatively unknown philosopher within mathematics.

The aim of this volume is to look broadly at what constitutes the mathematical mind through the Vichian lens of poetic logic. Vico was among the first to suggest that the essential nature of mind could be unraveled indirectly by reconstructing the sources of its “modifications” (his term for “creations”); that is, by examining the creation and function of symbols, words, and all the other uniquely human artifacts—including mathematics—the mind has allowed humans to establish “the world of civil society,” Vico’s term for culture and civilization.

The book is of interest to cognitive scientists working on math cognition. It presents the theory of poetic logic as Vico articulated it in his book The New Science, examining its main premises and then applying it to an interpretation of the ongoing work in math cognition. It will also be of interest to the general public, since it presents a history of early mathematics through the lens of an idea that has borne fruit in understanding the origin of language and symbols more broadly.

About the book
Author
Marcel  Danesi
Imprint
Springer
Collection
n.c
Publication date
2023-08-01
Pages
173 pages
Print ISBN
9783031315817
Language
English
Ebook informations
EAN PDF
9783031315824
Price
£109.99
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Copy count 1
Print count 17
File size 4198 Ko
Ce livre est accessible aux handicaps   Informations accessibility
EAN EPUB
9783031315824
Price
£109.99
Read more
Copy count 1
Print count 17
File size 8049 Ko
Ce livre est accessible aux handicaps   Informations accessibility
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About author(s)


Defaut-Illustration Marcel Danesi
Marcel Danesi is Professor Emeritus of Anthropology at the University of Toronto. He has written extensively on the relation between mathematics and symbol systems, including how puzzles and problems in mathematics are part of a more general dialectic frame of mind for grasping the nature of reality. Among his works in the field are Language and Mathematics (2018) and Ahmes’ Legacy (2020). He also founded the CogSci Network at the Fields Institute for Research in Mathematical Sciences, which consists of internationally renowned researchers in the field of cognitive mathematics.

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