APPROACHES TO ANALYSIS WITH INFINITESIMALS FOLLOWING ROBINSON, NELSON, AND OTHERS

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• 来源
  《Real analysis exchange》 |2017年第2期|193-252|共60页
• 作者

  Peter Fletcher; Karel Hrbacek; Vladimir Kanovei; Mikhail G. Katz; Claude Lobry; Sam Sanders;

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• 作者单位

  School of Computing and Mathematics, Keele University, Keele, Staffordshire, ST5 2BG, UK;

  Department of Mathematics, The City College of New York, NAC 8/133, Convent Ave at 138th Street, New York, NY 10031, U.S.A.;

  Laboratory 6 IPPI RAN Bolshoy Karetny per. 19, build. 1, Moscow 127051, Russia, and MIIT, 9b9 Obrazcova St, 127994 Moscow, Russia;

  Department of Mathematics, Bar Ilan University, Ramat Gan 52900, Israel;

  Centre de Recherche en Histoire des Idees (CRHI), Universite de Nice Sophia Antipolis, 98, Bd Edouard Herriot, BP 3209 - 06204 Nice Cedex, France;

  Ludwig-Maximilians-Universitat Miinchen, Fakultat fuer Philosophie, Wissenschaftstheorie und Religionswissenschaft, Munich Center for Mathematical Philosophy, Geschwister-Scholl-Platz 1, D-80539 Miinchen, Germany;

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• 原文格式 PDF
• 正文语种 eng
• 中图分类
• 关键词

  axiomatisations; infinitesimal; nonstandard analysis; ultraproducts; superstructure; set-theoretic foundations; multiverse; naive integers; intuitionism; soritical properties; ideal elements; protozoa;

  机译：公理化无穷小非标准分析超产品;上层建筑设定理论基础;多宇宙天真整数直觉主义属灵特性理想元素原生动物;