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数学 / 庞加莱三卷科学哲学 / The Present Crisis in Physics

卷二 8 · 物理学的当前危机

A crisis in physics can be a crisis of principles, not merely of measurements.

物理学危机可能是原则危机,不只是测量危机。

When principles fail to organize new facts, conventions must be reconsidered.

当原则无法组织新事实时,约定就要被重新审查。

The Present Crisis in Physics asks why scientific value survives convention, uncertainty and changing physical theory.

卷二 8 · 物理学的当前危机 追问科学价值为什么能穿过约定、不确定和物理理论变化。

Why does this matter to mathematics?

这为什么关乎数学?

Because mathematical forms often show where a principle is strained.

因为数学形式常能暴露原则在哪里吃紧。

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。