Some aspects of analogical reasoning in mathematical creativity

Alison Pease; Markus Guhe; Alan Smaill

Some aspects of analogical reasoning in mathematical creativity

Alison Pease, Markus Guhe, Alan Smaill

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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 language	English
Title of host publication	Proceedings of the International Conference on Computational Creativity
Pages	60-64
Number of pages	5
Publication status	Published - 2010

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http://computationalcreativity.net/iccc2010/papers/pease-guhe-smaill.pdf

CogMod: A congnitive model of axiom formulation and reformulation with application to AI and software engineering
Smaill, A. & Clark, A.
EPSRC
1/05/08 → 30/04/11
Project: Research

Cite this

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title = "Some aspects of analogical reasoning in mathematical creativity",

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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AB - 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.

M3 - Conference contribution

SP - 60

EP - 64

BT - Proceedings of the International Conference on Computational Creativity

ER -

Some aspects of analogical reasoning in mathematical creativity

Abstract

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CogMod: A congnitive model of axiom formulation and reformulation with application to AI and software engineering

Cite this