Non-standard analysis has often been presented as the proper framework for expressing rigorously Leibniz's conception of infinitesimals. This paper intends to study this interpretation from an historical point of view and to dispel a series of misunderstandings on which it rests. In order to do so, we propose to go back to Leibniz's conception of quantity, number and magnitude, an approach which has not been developed yet in the literature.

中文翻译：

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论非标准分析解释莱布尼茨无穷小数的不可行性

非标准分析经常被认为是严格表达莱布尼茨无穷小概念的正确框架。本文拟从历史的角度对这一解释进行研究，以澄清其所依据的一系列误解。为了做到这一点，我们建议回到莱布尼茨的数量、数字和大小的概念，这是一种尚未在文献中发展的方法。