LEADER 03723nam 22005775 450 001 9910300624703321 005 20230810194838.0 010 $a3-319-96797-5 024 7 $a10.1007/978-3-319-96797-4 035 $a(CKB)4100000005679112 035 $a(DE-He213)978-3-319-96797-4 035 $a(MiAaPQ)EBC5495500 035 $a(EXLCZ)994100000005679112 100 $a20180812d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDual-Process Theories of Numerical Cognition /$fby Mario Graziano 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (X, 147 p. 19 illus.) 225 1 $aSpringerBriefs in Philosophy,$x2211-4556 311 $a3-319-96796-7 320 $aIncludes bibliographical references. 327 $aIntroduction -- Part I - The cognitive science of numbers -- Chapter I - System 1 -- Chapter II - System 2 -- Chapter III - Dissociations between system 1 and system 2 -- Part II - The transition from system 1 to system 2 -- Chapter IV - The explanations provided by neuroscientists -- Chapter V - The philosophy of cognitive science and calculus -- Chapter VI - Dual process theories for calculus -- Conclusions. 330 $aThis book presents a philosophical interpretation to numerical cognition based on dual process theories and heuristics. It shows how investigations in cognitive science can shed light on issues traditionally raised by philosophers of mathematics. The analysis will also help readers to better understand the relationship between current neuroscientific research and the philosophical reflection on mathematics. The author seeks to explain the acquisition of mathematical concepts. To accomplish this, he needs to answer two questions. How can the concepts of approximate numerosity become an object of thought that is so accessible to our consciousness? How are these concepts refined and specified in such a way as to become numbers? Unfortunately, there is currently no model that can truly demonstrate the role of language in the development of numerical skills starting from approximate pre-verbal skills. However, the author details a solution to this problem: dual process theories. It is an approach widely used by theorists focusing on reasoning, decision making, social cognition, and consciousness. Here, he applies this approach to the studies on mathematical knowledge. He details the results brought about by psychological and neuroscientific studies conducted on numerical cognition by key neuroscientists. In the process, he develops the foundations of a new, potential philosophical explanation on mathematical knowledge. . 410 0$aSpringerBriefs in Philosophy,$x2211-4556 606 $aScience$xPhilosophy 606 $aKnowledge, Theory of 606 $aLanguage and languages$xPhilosophy 606 $aEducation$xPhilosophy 606 $aPhilosophy of Science 606 $aEpistemology 606 $aPhilosophy of Language 606 $aPhilosophy of Education 615 0$aScience$xPhilosophy. 615 0$aKnowledge, Theory of. 615 0$aLanguage and languages$xPhilosophy. 615 0$aEducation$xPhilosophy. 615 14$aPhilosophy of Science. 615 24$aEpistemology. 615 24$aPhilosophy of Language. 615 24$aPhilosophy of Education. 676 $a501 700 $aGraziano$b Mario$4aut$4http://id.loc.gov/vocabulary/relators/aut$0976811 906 $aBOOK 912 $a9910300624703321 996 $aDual-Process Theories of Numerical Cognition$92225308 997 $aUNINA