计算无穷小哲学和连续性运动和起源
Mouvement et origine du calcul infinitésimal Philosophie et continuité
摘要：
这篇文章有他的起源在一些讲座在博洛尼亚大学，在一个跨学科的计划，数学，科学史，物理学和哲学。由于运动和微积分处于这些领域的交叉点，它们是理解科学史上一些基本问题的好例子，贯穿其中的概念的多样性以及更普遍的研究论文的哲学背景。这是“巨人之争”发生的地方。在这篇文章中，我们认为这项研究所需的一般基础，特别是其哲学背景。虽然主要问题涉及'一个和多个'它是通过研究治疗的'谨慎和连续'考虑下，他的哲学和数学方面。在第二篇文章中，我们将考虑运动的理论化和微积分之间的关系，以及它们能够发展的历史背景。
英文摘要：
This article has his origin in some lectures given at the University of Bologna, inside an interdisciplinary program of mathematics, history of science, physics and philosophy. Since they are at the junction of these fields, movement and infinitesimal calculus are good instances to understand some fundamental questions in history of sciences, the diversity of the conceptions stretching across it and more generally the philosophy background of theses researches. It is the field where the 'struggle of giants' takes place. In this article we consider the general foundations needed for this study, in particular its philosophical background. While the principal question concerns 'the one and the multiple' it is treated through the study of the 'discreet and the continuous' considered under both his philosophical and mathematical aspect. In a second article we will consider the relation between the theorization of the movement and the infinitesimal calculus, and their historical background where they were able to grow
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
