论文标题
空间概念的哲学和认识论观点
Philosophical and epistemological views of the notion of space
论文作者
论文摘要
从上古开始,对空间的概念感知痛苦地发生了变化,步伐相对较慢。它经历了具有机械结构的神话描述,宗教信仰,形而上学的世界观和宇宙学模型,直到达到牛顿对无限和同质的三维连续体的看法,直到今天,即使在教育中也是“共同的看法”。这种对空间的看法如今似乎是不言而喻的,是对漫长的历史发展的高潮,我们将尝试概述。我们的目的是简要介绍与自然空间从上古到20世纪相关的模型的概念过程,重点关注可以数学化的理论和模型。同时,我们试图突出几何概念的最重要起点之一,这是对物理空间进行数学建模的需求,就像在现代教育中一样,没有这种观点。
From antiquity the conceptual perception of space changed painfully and at a relatively slow pace. It went through mythological descriptions, religious beliefs, metaphysical worldviews and cosmological models with a mechanistic structure, until it reached the Newtonian perception of the infinite and homogeneous three-dimensional continuum, which dominates to this day as a "common perception" even in education. This perception of space, which today seems self-evident, is the culmination of a long historical development, which we will try to outline. Our aim is to briefly present the conceptual course of models related to natural space from antiquity to the 20th century, focusing on the theories and models that can be mathematized. At the same time we try to highlight one of the most important starting points of geometric concepts, which is the need for mathematical modeling of physical space, as in modern education there is no such view.