nonstandard analysis

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nonstandard analysis (uncountable)

  1. (analysis) Analysis founded upon the hyperreal number system, i.e., which formally defines and uses infinitesimals, especially differentials.
    • 2010 February 25, Joel David Hamkins, “Answer to "How helpful is non-standard analysis?"”,, accessed on 2012-11-13:
      To be sure, the epsilon-delta methods arose in part because mathematicians became unsure of the foundational validity of infinitesimals. But since nonstandard analysis exactly provides the missing legitimacy, the original motivation for adopting epsilon-delta arguments appears to fall away.