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 First International Conference on Computational Creativity
Editors	Dan Ventura, Alison Pease, Rafael Perez y Perez, Graeme Ritchie, Tony Veale
Place of Publication	Portugal
Pages	60-64
Number of pages	5
Publication status	Published - 2010
Event	First International Conference on Computational Creativity - Dept of Informatices Engineering, University of Coimbra, Portugal, Lisbon, Portugal, Portugal Duration: 7 Jan 2010 → 9 Jan 2010 http://creative-systems.dei.uc.pt/

Conference

Conference	First International Conference on Computational Creativity
Abbreviated title	ICCC-X
Country/Territory	Portugal
City	Lisbon, Portugal
Period	7/01/10 → 9/01/10
Internet address	http://creative-systems.dei.uc.pt/

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Cite this

@inproceedings{c7b2edbf40a14057a1c2d7be87b0413e,

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

abstract = "Analogical reasoning can shed light on both of the two key processes of creativity {\textendash} 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.",

author = "Alison Pease and Markus Guhe and Alan Smaill",

year = "2010",

language = "English",

isbn = "978-989-960001-2-6",

pages = "60--64",

editor = "Dan Ventura and Alison Pease and \{Perez y Perez\}, Rafael and Graeme Ritchie and Tony Veale",

booktitle = "Proceedings of the First International Conference on Computational Creativity",

note = "First International Conference on Computational Creativity, ICCC-X ; Conference date: 07-01-2010 Through 09-01-2010",

url = "http://creative-systems.dei.uc.pt/",

}

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. Portugal, pp. 60-64, First International Conference on Computational Creativity, Lisbon, Portugal, Portugal, 7/01/10. <http://creative-systems.dei.uc.pt/>

Some aspects of analogical reasoning in mathematical creativity. / Pease, Alison; Guhe, Markus; Smaill, Alan.
Proceedings of the First International Conference on Computational Creativity. ed. / Dan Ventura; Alison Pease; Rafael Perez y Perez; Graeme Ritchie; Tony Veale. Portugal, 2010. p. 60-64.

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

TY - GEN

T1 - Some aspects of analogical reasoning in mathematical creativity

AU - Pease, Alison

AU - Guhe, Markus

AU - Smaill, Alan

PY - 2010

Y1 - 2010

N2 - 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.

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

SN - 978-989-960001-2-6

SP - 60

EP - 64

BT - Proceedings of the First International Conference on Computational Creativity

A2 - Ventura, Dan

A2 - Pease, Alison

A2 - Perez y Perez, Rafael

A2 - Ritchie, Graeme

A2 - Veale, Tony

CY - Portugal

T2 - First International Conference on Computational Creativity

Y2 - 7 January 2010 through 9 January 2010

ER -

Some aspects of analogical reasoning in mathematical creativity

Abstract

Conference

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