Modern infinitesimals as a tool to match intuitive and formal reasoning in analysis

Synthese 134 (1-2):325 - 351 (2003)
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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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Citations of this work

Grammar and sets.B. H. Slater - 2006 - Australasian Journal of Philosophy 84 (1):59 – 73.

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References found in this work

Internal Set Theory: A New Approach to Nonstandard Analysis.Edward Nelson - 1977 - Journal of Symbolic Logic 48 (4):1203-1204.
Extended use of IST.I. P. Van den Berg - 1992 - Annals of Pure and Applied Logic 58 (1):73-92.

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