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Jun 2, 2011 at 2:06 comment added David Corwin What about nonstandard analysis?
Feb 28, 2011 at 12:30 comment added David Harris Yemon, I agree with you completely. I said they are "almost" in this category. They are not usually used, and if so they are often defined rigorously. But there is still a category of intuitive, non-rigorous uses of the infinitesimal concept.
Feb 28, 2011 at 6:35 comment added Yemon Choi For these to qualify, don't infinitesimals need to be "used but not clearly defined in modern mathematics"? I am not sure they satisfy both these conditions, unless by "used" you mean "as a pedagogical aid". (That's not to downplay Loeb measures etc etc but where they are used they are most assuredly "clearly defined".)
Feb 27, 2011 at 18:07 history answered David Harris CC BY-SA 2.5