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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Which one is the primary, geometry of algebra? Are numbers truly different from geometry? What is the number?
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评分Continuity and Irrational numbers. 非常優美的策略。關鍵概念的徵用來自解決問題的實際需要。數學氣息＞哲學氣息。相當依賴geometric intuition.
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评分Which one is the primary, geometry of algebra? Are numbers truly different from geometry? What is the number?
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