Towards a categorical theory of creativity for music, discourse, and cognition

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 7937 LNAI, Issue , 2013, Pages 19-37

  Andreatta, Moreno ^a   Ehresmann, Andrée ^b   Guitart, René ^c   Mazzola, Guerino ^d  

^a IRCAM CNRS UPMC   (France)

^b UNIVERSITÉ DE PICARDIE JULES VERNE   (France)

^c UNIVERSITÉ PARIS DESCARTES   (France)

^d UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CREATIVE PROCESS; DISCOURSE THEORY; MUSICAL CREATIVITIES;

ARTIFICIAL INTELLIGENCE;

COMPUTER SCIENCE;

EID: 84884478433     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-39357-0_2     Document Type: Conference Paper

References (33)

1. Acotto, E., Andreatta, M.: Between Mind and Mathematics. Different Kinds of Computational Representations of Music. Mathematics and Social Sciences 199(50e année), 9-26 (2012)
2. Bastiani(-Ehresmann), A., Ehresmann, C.: Categories of sketched structures, Cahiers Top. et Géom. Dif. XIII-2 (1972), http://archive.numdam.org
3. Boden, M.A.: Conceptual Spaces. In: Meusburger, P., et al. (eds.) Milieus of Creativity. Springer (2009)
4. Cope, D.: Computer Models of Musical Creativity. MIT Press, Cambridge (2005)
5. Edelman, G.M.: The remembered Present. Basic Books, New York (1989)
6. Ehresmann, A., Vanbremeersch, J.-P.: Semantics and Communication for Memory Evolutive Systems. In: Lasker (ed.) Proc. 6th Intern. Conf. on Systems Research. International Institute for Advanced Studies in Systems Research and Cybernetics, University of Windsor (1992), http://ehres.pagesperso-orange.fr
7. Ehresmann, A., Vanbremeersch, J.-P.: Memory Evolutive Systems: Hierarchy, Emergence, Cognition. Elsevier, Amsterdam (2007)
8. Fauconnier, G., Turner, M.: The way we think. Basic Books (2002) (reprint)
9. Forth, J., Wiggins, G.A., McLean, A.: Unifying Conceptual Spaces: Concept Formation in Musical Creative Systems. Minds & Machines 20, 503-532 (2010)
10. Gärdenfors, P.: Conceptual Spaces: On the Geometry of Thought. MIT Press, Cambridge (2000)
11. Goguen, J.: An Introduction to Algebraic Semiotics, with Application to User Interface Design. In: Nehaniv, C.L. (ed.) CMAA 1998. LNCS (LNAI), vol. 1562, pp. 242-291. Springer, Heidelberg (1999)
12. Goguen, J., Harrell, D.F.: Style: A Computational and Conceptual Blending-Based Approach. In: Dubnov, S., et al. (eds.) The Structure of Style: Algorithmic Approaches to Understanding Manner and Meaning. Springer (2009)
13. Guitart, R.: L'idée de Logique Spéculaire. Journées Catégories, Algèbres, Esquisses, Néo-esquisses, Caen, Septembre 27-30, p. 6 (1994)
14. Guitart, R.: Cohomological Emergence of Sense in Discourses (As Living Systems Following Ehresmann and Vanbremeersch). Axiomathes 19(3), 245-270 (2009)
15. 4 and the Associated Borromean Logic. Log. Univers. 6, 119-147 (2012)
16. Hagmann, P., Cammoun, L., Gigandet, X., Meuli, R., Honey, C.J., Wedeen, V.J., Sporns, O.: Mapping the Structural Core of Human Cerebral Cortex. PLoS Biology 6(7), 1479-1493 (2008)
17. Halford, G.S., Wilson, W.H.: A Category-Theory approach to cognitive development. Cognitive Psychology 12, 356-411 (1980)
18. Hofstadter, D.: Fluid Concepts and Creative Analogies: Computer Models of the Fundamental Mechanisms of Thoughts. Basic Books (1995)
19. Kan, D.M.: Adjoint Functors. Transactions of the American Mathematical Society 87, 294-329 (1958)
20. Lawvere, W.F.: Functorial Semantics of Algebraic Theories. Ph.D. Thesis, Columbia University (1963)
21. Mac Lane, S.: Categories for the Working Mathematician. Springer, New York (1971)
22. Mazzola, G., et al.: The Topos of Music-Geometric Logic of Concepts, Theory, and Performance. Birkhäuser, Basel (2002)
23. Mazzola, G., Park, J., Thalmann, F.: Musical Creativity, Heidelberg. Springer Series Computational Music Science (2011)
24. Mazzola, G.: Singular Homology on Hypergestures. Journal of Mathematics and Music 6(1), 49-60 (2012)
25. Peirce, C.S.: Collected Papers, vol. I-VI (1931-1935),
26. par Hartshorne, C., Weiss, P.: vol. VII-VIII (1958), par Burks, W.: Harvard University Press. Harvard
27. Pereira, F.C.: Creativity and Artificial Intelligence - A Conceptual Blending Approach (2007)
28. Phillips, S., Wilson, W.H.: Categorical Compositionality: A Category Theory Explanation for the Systematicity of Human Cognition. PLoS Computational Biology 6(7), 1-14 (2010)
29. Post, E.: Introduction to a General Theory of Elementary Propositions. American Journal of Mathematics 43, 163-185 (1921)
30. Shannon, C., Weaver, W.: The Mathematical Theory of Communication (1949)
31. Spanier, E.: Algebraic Topology. McGraw Hill, New York (1966)
32. Uhde, J.: Beethovens Klaviermusik III. Reclam, Stuttgart (1974)
33. Zbikowski, L.M.: Conceptualizing Music: Cognitive Structures, Theory, and Analysis. Oxford University Press (2002)