LEADER 04194nam 22006735 450 001 9910736997303321 005 20240701103325.0 010 $a3-031-31582-0 024 7 $a10.1007/978-3-031-31582-4 035 $a(MiAaPQ)EBC30672095 035 $a(Au-PeEL)EBL30672095 035 $a(DE-He213)978-3-031-31582-4 035 $a(PPN)272266612 035 $a(CKB)27906778800041 035 $a(EXLCZ)9927906778800041 100 $a20230801d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPoetic Logic and the Origins of the Mathematical Imagination /$fby Marcel Danesi 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (180 pages) 225 1 $aMathematics in Mind,$x2522-5413 311 08$aPrint version: Danesi, Marcel Poetic Logic and the Origins of the Mathematical Imagination Cham : Springer International Publishing AG,c2023 9783031315817 327 $aPreface -- Imagination -- Ingenuity -- Memory -- Metaphor -- Logic -- Glossary -- References -- Index. 330 $aThis book treats eighteenth-century Italian philosopher Giambattista Vico?s theory of poetic logic for the first time as the originating force in mathematics, transforming instinctive counting and spatial perception into poetic (metaphorical) symbolism that dovetails with the origin of language. It looks at current work on mathematical cognition (from Lakoff and Núñez to Butterworth, Dehaene, and beyond), matching it against the poetic logic paradigm. In a sense, it continues from where Kasner and Newman left off, connecting contemporary research on the mathematical mind to the idea that the products of early mathematics were virtually identical to the first forms of poetic language. As such, this book informs the current research on mathematical cognition from a different angle, by looking back at a still relatively unknown philosopher within mathematics. The aim of this volume is to look broadly at what constitutes the mathematical mind through the Vichian lens of poetic logic. Vico was among the first to suggest that the essential nature of mind could be unraveled indirectly by reconstructing the sources of its ?modifications? (his term for ?creations?); that is, by examining the creation and function of symbols, words, and all the other uniquely human artifacts?including mathematics?the mind has allowed humans to establish ?the world of civil society,? Vico?s term for culture and civilization. The book is of interest to cognitive scientists working on math cognition. It presents the theory of poetic logic as Vico articulated it in his book The New Science, examining its main premises and then applying it to an interpretation of the ongoing work in math cognition. It will also be of interest to the general public, since it presents a history of early mathematics through the lens of an idea that has borne fruit in understanding the origin of language and symbols more broadly. 410 0$aMathematics in Mind,$x2522-5413 606 $aLlenguatge i llengües$2thub 606 $aHistòria de la filosofia$2thub 606 $aMathematics 606 $aHistory 606 $aCognitive science 606 $aLinguistics 606 $aHistory of Mathematical Sciences 606 $aCognitive Science 606 $aTheoretical Linguistics / Grammar 608 $aLlibres electrònics$2thub 615 7$aLlenguatge i llengües 615 7$aHistòria de la filosofia 615 0$aMathematics. 615 0$aHistory. 615 0$aCognitive science. 615 0$aLinguistics. 615 14$aHistory of Mathematical Sciences. 615 24$aCognitive Science. 615 24$aTheoretical Linguistics / Grammar. 676 $a195 676 $a195 700 $aDanesi$b Marcel$0166452 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910736997303321 996 $aPoetic Logic and the Origins of the Mathematical Imagination$93427816 997 $aUNINA