Abstract
We discuss what constitutes knowledge in pure mathematics and how new advances are made and communicated. We describe the impact of computer algebra systems, automated theorem provers, programs designed to generate examples, mathematical databases, and theory formation programs on the body of knowledge in pure mathematics. We discuss to what extent the output from certain programs can be considered a discovery in pure mathematics. This enables us to assess the state of the art with respect to Newell and Simon's prediction that a computer would discover and prove an important mathematical theorem. © Springer-Verlag Berlin Heidelberg 2007.
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CITATION STYLE
Colton, S. (2007). Computational discovery in pure mathematics. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4660 LNAI, pp. 175–201). Springer Verlag. https://doi.org/10.1007/978-3-540-73920-3_9
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