Abstract
We discuss various ways, which have been plainly justified in the secondhalf of the twentieth century, to introduce infinitesimals, and we considerthe new style of reasoning in mathematical analysis that they allow.
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Lutz, R., Luis Gonzaga, L.G. Modern Infinitesimals as a Tool to Match Intuitive and Formal Reasoning in Analysis. Synthese 134, 325–351 (2003). https://doi.org/10.1023/A:1022152117818
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DOI: https://doi.org/10.1023/A:1022152117818