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The use of infinitesimals

  1. Apr 24, 2006 #1


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    Is there a formulation of calculus that uses infinitesimals rigorously without introducing an additional number system (non-standard analysis) and without deviating from classical logic?
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  3. Apr 24, 2006 #2

    matt grime

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    I would say no, since dx, whatever it is, is not part of any formal system that you will probably accept.
  4. Apr 24, 2006 #3


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    How could this sentence possibly be satisfied? On the one hand, it's asking for new numbers (nonzero infinitessimals), but at the same time you reject introducing new numbers!
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