273 research outputs found
Ten Misconceptions from the History of Analysis and Their Debunking
The widespread idea that infinitesimals were "eliminated" by the "great
triumvirate" of Cantor, Dedekind, and Weierstrass is refuted by an
uninterrupted chain of work on infinitesimal-enriched number systems. The
elimination claim is an oversimplification created by triumvirate followers,
who tend to view the history of analysis as a pre-ordained march toward the
radiant future of Weierstrassian epsilontics. In the present text, we document
distortions of the history of analysis stemming from the triumvirate ideology
of ontological minimalism, which identified the continuum with a single number
system. Such anachronistic distortions characterize the received interpretation
of Stevin, Leibniz, d'Alembert, Cauchy, and others.Comment: 46 pages, 4 figures; Foundations of Science (2012). arXiv admin note:
text overlap with arXiv:1108.2885 and arXiv:1110.545
Aromaticity of benzenoid hydrocarbons with inserted âB=Bâ and âBHâBHâ groups: a comparison
Recent Advances in Inverse-Electron-Demand Hetero-DielsâAlder Reactions of 1-Oxa-1,3-Butadienes
Ring Expansion of Cyclobutylmethylcarbenium Ions to Cyclopentane or Cyclopentene Derivatives and Metal-Promoted Analogous Rearrangements
Oxidation of benzoins to benzils in the presence of porphyrin sensitizers by air and sunlight or visible light
Ivor Grattan-Guinness (June 23, 1941-December 12, 2014)
Un obituary di Ivor Grattan-Guinnes
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