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- Title
Inference to the Best Explanation Is an Important Form of Reasoning in Mathematics.
- Authors
Lange, Marc
- Abstract
On the basis of examples like this, mathematicians (or mathematics students reading the textbook example) might expect that facts about complex numbers oftentimes reveal the reasons for results exclusively concerning real numbers - results that would otherwise have seemed coincidental. Imaginary coordinates for points of intersection arise when there is no Euclidean triangle with sides of lengths I r i SB 1 sb , I r i SB 2 sb , and I L i , which occurs when I L i > I r i SB 1 sb + I r i SB 2 sb (case (b) in the figure) or I L i < | I r i SB 1 sb HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo></math> ht I r i SB 2 sb | (case (c) in the figure).
- Subjects
MATHEMATICAL forms; CIRCLE; SCIENTIFIC literature; VAN der Waals clusters; QUASIMOLECULES; PHILOSOPHY of science; DIVISIBILITY groups
- Publication
Mathematical Intelligencer, 2022, Vol 44, Issue 1, p32
- ISSN
0343-6993
- Publication type
Article
- DOI
10.1007/s00283-021-10112-7