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.
General
| Imprint: |
Springer International Publishing AG
|
| Country of origin: |
Switzerland |
| Series: |
Mathematics in Mind |
| Release date: |
August 2023 |
| Firstpublished: |
2023 |
| Authors: |
Marcel Danesi
|
| Dimensions: |
235 x 155mm (L x W) |
| Pages: |
173 |
| Edition: |
1st ed. 2023 |
| ISBN-13: |
978-3-03-131581-7 |
| Categories: |
Books
|
| LSN: |
3-03-131581-2 |
| Barcode: |
9783031315817 |
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