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Some aspects of analogical reasoning in mathematical creativity

Some aspects of analogical reasoning in mathematical creativity

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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
StatePublished - 2010
EventFirst International Conference on Computational Creativity - Lisbon, Portugal, Portugal

Conference

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

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