Some aspects of analogical reasoning in mathematical creativity

Alison Pease, Markus Guhe, Alan Smaill

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    6 Citations (Scopus)

    Abstract

    Analogical reasoning can shed light on both of the two key processes of creativity – generation and evaluation. Hence, it is a powerful tool for creativity. We illustrate this with three historical case studies of creative mathematical conjectures which were either found or evaluated via analogies. We conclude by describing our ongoing efforts to build computational realisations of these ideas.
    Original languageEnglish
    Title of host publicationProceedings of the First International Conference on Computational Creativity
    EditorsDan Ventura, Alison Pease, Rafael Perez y Perez, Graeme Ritchie, Tony Veale
    Place of PublicationPortugal
    Pages60-64
    Number of pages5
    Publication statusPublished - 2010
    EventFirst International Conference on Computational Creativity - Dept of Informatices Engineering, University of Coimbra, Portugal, Lisbon, Portugal, Portugal
    Duration: 7 Jan 20109 Jan 2010
    http://creative-systems.dei.uc.pt/

    Conference

    ConferenceFirst International Conference on Computational Creativity
    Abbreviated titleICCC-X
    CountryPortugal
    CityLisbon, Portugal
    Period7/01/109/01/10
    Internet address

    Cite this

    Pease, A., Guhe, M., & Smaill, A. (2010). Some aspects of analogical reasoning in mathematical creativity. In D. Ventura, A. Pease, R. Perez y Perez, G. Ritchie, & T. Veale (Eds.), Proceedings of the First International Conference on Computational Creativity (pp. 60-64). http://creative-systems.dei.uc.pt/