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

Robert Lutz

pp. 325-351

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.

Publication details

Published in:

Alvarez Carlos, Panza Marco (2003) Logic and mathematical reasoning. Synthese 134 (1-2).

Pages: 325-351

DOI: 10.1023/A:1022152117818

Full citation:

Lutz Robert (2003) „Modern infinitesimals as a tool to match intuitive and formal reasoning in analysis“. Synthese 134 (1-2), 325–351.