AIAug 20, 2020
Adventures in Mathematical Reasoning
arXiv:2008.09067v1
Originality Synthesis-oriented
AI Analysis
This is an incremental philosophical reflection on mathematics for researchers and historians, with no direct problem-solving or practical application.
The paper discusses the nature of mathematical reasoning as an exploratory and often uncertain process rather than a rigid, well-defined path, using a quote to illustrate this perspective.
"Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost. Rigour should be a signal to the historian that the maps have been made, and the real explorers have gone elsewhere." W.S. Anglin, the Mathematical Intelligencer, 4 (4), 1982.