内容 科学与假设 · 05
Science and Hypothesis · The Non-Euclidean Geometries
Non-Euclidean geometry makes geometry a choice of convenient structure rather than a single visual necessity.
非欧几何让几何成为方便结构的选择,而不是唯一视觉必然。
Geometry is not destroyed when Euclid's postulate changes; it becomes more self-aware.
欧氏公设被替换时,几何不是被摧毁,而是更清楚地意识到自己的前提。
命题
The Non-Euclidean Geometries should be read as a question about how science stabilizes its objects.
卷一 3 · 非欧几何 要读成一个问题:科学怎样让自己的对象稳定下来。
读法检查 worked example
题
Why should this chapter be read after Lobachevsky?
为什么这章要接在罗巴切夫斯基之后读?
解
The originals show the mathematics; Poincare explains the epistemology of choosing a geometry.
原作展示数学,庞加莱解释选择一种几何的认识论。
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