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.
Which one is the primary, geometry of algebra? Are numbers truly different from geometry? What is the number?
评分Continuity and Irrational numbers. 非常优美的策略。关键概念的征用来自解决问题的实际需要。数学气息>哲学气息。相当依赖geometric intuition.
评分前一半
评分前一半
评分Continuity and Irrational numbers. 非常优美的策略。关键概念的征用来自解决问题的实际需要。数学气息>哲学气息。相当依赖geometric intuition.
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