论文标题

关于自由尸体,惯性和任意性的关系

On the relation of free bodies, inertial sets and arbitrariness

论文作者

Solari, Hernán G., Natiello, Mario A.

论文摘要

我们提出了基于无任意性原理的惯性系统的完全关系定义,该定义消除了对绝对惯性参考系统或区分参考系统作为“固定恒星”的需求,以便制定牛顿力学。也讨论了这种机械方法的历史根源。这项工作部分基于Piaget提出的空间的建构主义观点。我们认为,惯性系统接收近似值,而实际使用的实际用途正是这样的近似值。我们终于讨论了一个稍大的系统,我们称之为“相对惯性”,这是机械师关系中的基本系统。

We present a fully relational definition of inertial systems based in the No Arbitrariness Principle, that eliminates the need for absolute inertial frames of reference or distinguished reference systems as the "fixed stars" in order to formulate Newtonian mechanics. The historical roots of this approach to mechanics are discussed as well. The work is based in part in the constructivist perspective of space advanced by Piaget. We argue that inertial systems admit approximations and that what is of practical use are precisely such approximations. We finally discuss a slightly larger class of systems that we call "relatively inertial" which are the fundamental systems in a relational view of mechanics.

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