This book treats eighteenth-century Italian philosopher Giambattista Vicoâs 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 NĂșñez 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 âmodificationsâ (his term for âcreationsâ); that is, by examining the creation and function of symbols, words, and all the other uniquely human artifactsâincluding mathematicsâthe mind has allowed humans to establish âthe world of civil society,â Vicoâs 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.
Les mer
This book treats eighteenth-century Italian philosopher Giambattista Vicoâs 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.
Les mer
Preface.- Imagination.- Ingenuity.- Memory.- Metaphor.- Logic.- Glossary.- References.- Index.
This book treats eighteenth-century Italian philosopher Giambattista Vicoâs 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 NĂșñez 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 ofpoetic logic. Vico was among the first to suggest that the essential nature of mind could be unraveled indirectly by reconstructing the sources of its âmodificationsâ (his term for âcreationsâ); that is, by examining the creation and function of symbols, words, and all the other uniquely human artifactsâincluding mathematicsâthe mind has allowed humans to establish âthe world of civil society,â Vicoâs 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.
Les mer
Uniquely applies the theory of poetic logic to the origins of mathematical thinking Presents a model of the origins of mathematics as connected with the origins of language Provides examples and illustrations from early mathematical texts
Les mer
GPSR Compliance
The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this.
If you have any concerns about our products you can contact us on ProductSafety@springernature.com.
In case Publisher is established outside the EU, the EU authorized representative is:
Springer Nature Customer Service Center GmbH
Europaplatz 3
69115 Heidelberg, Germany
ProductSafety@springernature.com
Les mer
Produktdetaljer
ISBN
9783031315848
Publisert
2024-08-02
Utgiver
Vendor
Springer International Publishing AG
HĂžyde
235 mm
Bredde
155 mm
AldersnivÄ
Research, P, 06
SprÄk
Product language
Engelsk
Format
Product format
Heftet
Forfatter