Title | ||
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Towards Mathematical Ai Via A Model Of The Content And Process Of Mathematical Question And Answer Dialogues |
Abstract | ||
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This paper outlines a strategy for building semantically meaningful representations and carrying out effective reasoning in technical knowledge domains such as mathematics. Our central assertion is that the semi-structured Q&A format, as used on the popular Stack Exchange network of websites, exposes domain knowledge in a form that is already reasonably close to the structured knowledge formats that computers can reason about. The knowledge in question is not only facts - but discursive, dialectical, argument for purposes of proof and pedagogy. We therefore assert that modelling the Q&A process computationally provides a route to domain understanding that is compatible with the day-to-day practices of mathematicians and students. This position is supported by a small case study that analyses one question from Mathoverflow in detail, using concepts from argumentation theory. A programme of future work, including a rigorous evaluation strategy, is then advanced. |
Year | DOI | Venue |
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2017 | 10.1007/978-3-319-62075-6_10 | INTELLIGENT COMPUTER MATHEMATICS |
Keywords | DocType | Volume |
Q&A, Argumentation, Mathematics | Conference | 10383 |
ISSN | Citations | PageRank |
0302-9743 | 0 | 0.34 |
References | Authors | |
0 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Joseph Corneli | 1 | 0 | 0.68 |
Ursula Martin | 2 | 127 | 16.38 |
David Murray-Rust | 3 | 67 | 13.37 |
Alison Pease | 4 | 56 | 6.65 |