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数学 / 庞加莱三卷科学哲学 / The Notion of Space

卷二 3 · 空间观念

Space is reconstructed from bodily motion, perception and invariants.

空间由身体运动、感知和不变量重新构造出来。

The body acts as a measuring instrument before geometry becomes formal.

身体先作为测量工具,几何之后才形式化。

The Notion of Space asks why scientific value survives convention, uncertainty and changing physical theory.

卷二 3 · 空间观念 追问科学价值为什么能穿过约定、不确定和物理理论变化。

What is gained by this bodily route?

从身体出发有什么好处?

It shows why geometry is tied to operations rather than to pure vision.

它说明几何为什么连着操作,而不只是纯视觉。

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。