内容 科学与假设 · 06
Science and Hypothesis · Space and Geometry
Perceptual space and geometric space are related, but not identical.
感知空间和几何空间有关,却不是同一个东西。
Geometric space is disciplined by operations, not copied from sensation.
几何空间由操作训练出来,不是感官的复印件。
命题
Space and Geometry should be read as a question about how science stabilizes its objects.
卷一 4 · 空间和几何 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
What does a rigid body do in this argument?
刚体在这个论证里起什么作用?
解
It supplies the comparison practice that makes geometric relations stable.
它提供比较实践,使几何关系稳定下来。
互链 context
与哈代数学审美 hardy-apology/overview、非欧几何原作 non-euclidean-originals/lobachevsky-overview、分析严密化史 math-meta/topic-calculus-and-analysis-rigor 和拓扑学起源 math-meta/topic-topology-origins 对读。
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