1939年图灵回到剑桥，聆听了维特根斯坦关于数学基本原理（foundations of mathematics）的讲座。他们激烈地争论，图灵为形式主义辩护，而维根斯坦则认为把数学抬得太高而且不能发现任何绝对真理。
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考虑钻机水龙头和转盘主轴承工作载荷的模糊性及可靠性要求，应用模糊数学基本原理求得平均计算载荷，从而计算出主轴承的模糊可靠性寿命。
The mean value of work loads on a shaft bearing of swivel and rotary table is determined by basic principles of fuzzy theory, considering the loads' fuzziness and the requirement for reliability.
考虑钻机(水)龙头和转盘主轴承工作载荷的模糊性及可靠性要求，应用模糊数学基本原理求得平均计算载荷，从而计算出主轴承的模糊可靠性寿命。
The mean value of work loads on a shaft bearing of swivel and rotary table is determined by basic principles of fuzzy theory, considering the loads' fuzziness and the requirement for reliability.
有一门被称为基础数学集论教学法的研究，致力于依照更多的基本原理来重组数学教学。
There was something called the New math, of which I'm a product, where they attempted to restructure the teaching of math along more fundamental principles.
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