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数学 / 庞加莱三卷科学哲学 / Intuition and Logic in Mathematics

卷二 1 · 直觉和逻辑

Poincare refuses to choose between intuition and logic as enemies.

庞加莱拒绝把直觉和逻辑摆成敌人。

Logic checks; intuition chooses and invents.

逻辑负责检查,直觉负责选择和发明。

Intuition and Logic in Mathematics asks why scientific value survives convention, uncertainty and changing physical theory.

卷二 1 · 直觉和逻辑 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 would be missing from mathematics without intuition?

没有直觉,数学会少掉什么?

The sense of which definitions, examples and analogies are worth pursuing.

会少掉判断哪些定义、例子和类比值得追下去的能力。

与哈代审美训练 hardy-apology/overview 对读。