Some Aspects of Analogical Reasoning in Mathematical Creativity

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Reference

Alison Pease, Markus Guhe, Alan Smaill: Some Aspects of Analogical Reasoning in Mathematical Creativity. In: Computational Creativity 2010 ICCC 2010. 60-64.

DOI

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.

Extended Abstract

Bibtex

@inproceedings{
author = {Alison Pease, Markus Guhe, Alan Smaill},
title = {Some Aspects of Analogical Reasoning in Mathematical Creativity},
editor = {Dan Ventura, Alison Pease, Rafael P ́erez y P ́erez, Graeme Ritchie and Tony Veale},
booktitle = {Proceedings of the First International Conference on Computational Creativity},
series = {ICCC2010},
year = {2010},
month = {January},
location = {Lisbon, Portugal},
pages = {60-64},
url = {http://computationalcreativity.net/iccc2010/papers/pease-guhe-smaill.pdf, http://de.evo-art.org/index.php?title=Some_Aspects_of_Analogical_Reasoning_in_Mathematical_Creativity },
publisher = {International Association for Computational Creativity},
keywords = {computational, creativity},
}

Used References

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