Two most important essays by the famous German mathematician: one provides an arithmetic, rigorous foundation for the irrational numbers, thereby a rigorous meaning of continuity in analysis. The other is an attempt to give logical basis for transfinite numbers and properties of the natural numbers.
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Continuity and Irrational Numbers 一篇
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评分戴德金对无理数的纯算术方法推导。排列有理数用到了数轴。所以数轴不算一个geometrical intuition哦?然后从数轴这个line推断有理数是不连续的,它们的gap里面还有其他数即无理数。这个move不算stretching an analogy哦?
评分Continuity and Irrational Numbers 一篇
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