Abstract
The purpose of forming a theory is to understand fundamental concepts such as numbers, groups or graphs. At the heart of any mathematical theory are the concepts it discusses. Every conjecture involves concepts and every theorem provides a greater understanding of these concepts. An ability to invent new concepts is essential in theory formation, as it enables the program to explore new areas of the domain and make conjectures connecting different aspects of the theory.
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© 2002 Springer-Verlag London
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Colton, S. (2002). Inventing Concepts. In: Automated Theory Formation in Pure Mathematics. Distinguished Dissertations. Springer, London. https://doi.org/10.1007/978-1-4471-0147-5_6
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DOI: https://doi.org/10.1007/978-1-4471-0147-5_6
Publisher Name: Springer, London
Print ISBN: 978-1-4471-1113-9
Online ISBN: 978-1-4471-0147-5
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