LEADER 04243nam 22005775 450 001 9910254296803321 005 20251113191637.0 010 $a3-319-68246-6 024 7 $a10.1007/978-3-319-68246-4 035 $a(CKB)4100000001381582 035 $a(DE-He213)978-3-319-68246-4 035 $a(MiAaPQ)EBC5178227 035 $a(PPN)222229756 035 $a(EXLCZ)994100000001381582 100 $a20171201d2017 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Structures of Natural Intelligence /$fby Yair Neuman 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XVII, 173 p. 39 illus., 6 illus. in color.) 225 1 $aMathematics in Mind,$x2522-5413 311 08$a3-319-68245-8 320 $aIncludes bibliographical references and indexes. 327 $aPart I. 1. Introduction -- 2. What is Structure? -- 3. Category Theory -- 4. How to Trick the Demon of Entropy -- 5. Neural Networks and Groupoids -- Part II. 6. Natural Intelligence in the Wild -- 7. Natural Intelligence is about meaning -- 8. From Identity to Equivalence -- 9. On Negation -- 10. Modeling -- 11. On Structures and Wholes -- Part III. 12. Let's Talk About Nothing -- 13. King Richard is a Lion -- 14. The Madman and the Dentist -- 15. Discussion -- References -- Author index -- Subject index. 330 $aThis book uncovers mathematical structures underlying natural intelligence and applies category theory as a modeling language for understanding human cognition, giving readers new insights into the nature of human thought. In this context, the book explores various topics and questions, such as the human representation of the number system, why our counting ability is different from that which is evident among non-human organisms, and why the idea of zero is so difficult to grasp. The book is organized into three parts: the first introduces the general reason for studying general structures underlying the human mind; the second part introduces category theory as a modeling language and use it for exposing the deep and fascinating structures underlying human cognition; and the third applies the general principles and ideas of the first two parts to reaching a better understanding of challenging aspects of the human mind such as our understanding of the number system,the metaphorical nature of our thinking and the logic of our unconscious dynamics. About the Author: Yair Neuman is a Full Professor at Ben-Gurion University. He holds a BA in Psychology (Major) and Philosophy (Minor) and a PhD in Cognition (Hebrew University, 1999), and his expertise is in studying complex cognitive, social, and symbolic systems from a unique interdisciplinary approach. Professor Neuman has published numerous papers and five academic books and has been a visiting scholar or professor at MIT, the University of Toronto, the University of Oxford, and the Weizmann Institute of Science. Beyond his purely academic work, he has developed state-of-the-art algorithms for social and cognitive computing, such as those he developed for the IARPA metaphor project (ADAMA group). 410 0$aMathematics in Mind,$x2522-5413 606 $aAlgebra, Homological 606 $aNeural networks (Computer science) 606 $aAlgebraic topology 606 $aCategory Theory, Homological Algebra 606 $aMathematical Models of Cognitive Processes and Neural Networks 606 $aAlgebraic Topology 615 0$aAlgebra, Homological. 615 0$aNeural networks (Computer science). 615 0$aAlgebraic topology. 615 14$aCategory Theory, Homological Algebra. 615 24$aMathematical Models of Cognitive Processes and Neural Networks. 615 24$aAlgebraic Topology. 676 $a512.55 700 $aNeuman$b Yair$f1968-$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767616 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254296803321 996 $aMathematical Structures of Natural Intelligence$91563040 997 $aUNINA