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数学 / 庞加莱三卷科学哲学 / Experience and Geometry

卷一 5 · 经验和几何

Experiment can recommend a geometry, but it does not simply dictate the axioms.

实验可以推荐某种几何,但不会简单命令公理。

Convention is constrained convenience, not arbitrary naming.

约定是受约束的方便,不是任意命名。

Experience and Geometry should be read as a question about how science stabilizes its objects.

卷一 5 · 经验和几何 要读成一个问题:科学怎样让自己的对象稳定下来。

What is the difference between convenient and arbitrary?

“方便”和“任意”有什么区别?

Convenience answers to repeated experience and successful coordination.

方便要回应反复经验和成功协调。

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。