没读完,但是这个比较是有理数间的比较 |
送交者: rednose 2008月09月18日20:18:27 于 [灵机一动] 发送悄悄话 |
回 答: Mushy: 反驳“神秘的无理数 - 挑战学院派” 由 西线晨雾 于 2008-09-18 16:11:06 |
假定有理数已经清楚了,才这么做的。
你的“空隙”概念是误导性的。 use a rational set to define the concept of cut. Use cuts(class of cuts) define a new "number" system, called real number system, in which a rational number is now a cut, and the sub class of all rational cuts is asomorphic to the rational system.In other words, the rational system is embedded into the new system.In new system, non-rational cuts are irrationals. Hope that this can help you to change your view of the concept and construction of real number system. Whenver you gets through it, the gate to the modern math is open to you. |
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