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The Cartographer
Mathematical Explanations
December 31, 2023 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Joseph Y. Halpern
arXiv ID
2402.09413
Category
cs.AI: Artificial Intelligence
Citations
2
Venue
arXiv.org
Last Checked
4 months ago
Abstract
A definition of what counts as an explanation of mathematical statement, and when one explanation is better than another, is given. Since all mathematical facts must be true in all causal models, and hence known by an agent, mathematical facts cannot be part of an explanation (under the standard notion of explanation). This problem is solved using impossible possible worlds.
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