内容 科学与假设 · 04
Science and Hypothesis · Mathematical Magnitude and Experience
The continuum is created from experience but cannot be reduced to sensory blur.
连续统从经验中被逼出来，却不能还原成感官的模糊连续。
Continuum is where intuition, symbol and construction meet.
连续统是直觉、符号和构造相遇的地方。
命题
Mathematical Magnitude and Experience should be read as a question about how science stabilizes its objects.
卷一 2 · 数学连续统 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 is the danger of treating physical continuity as mathematical continuity?
把物理连续直接当数学连续有什么危险？
解
It hides the conventions needed to make measurement and order precise.
它遮住了让度量和次序变精确所需的约定。
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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