题目:
摩尔的学生说了几个数字,摩尔居然找不到当中最大的那个
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解答在下一页喔!!!小心不要雷到!!!
★☆警告!本汤底内容~
-包含《Calculus With Applications》中的注解、R. L. Moore 其学生的轶事-
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解答:
摩尔的学生说了两个数字
但两个数当中只会有比较大 (larger) 的数,不会有最大 (largest) 的数
原文:The story is told that R. L. Moore, a famous mathematician in Texas,
asked a student to give a proof or find a counterexample to
the statement "Every bounded set of numbers has a largest element."
The student came up with a counterexample: the set consisting of
the numbers 1 and 2; it has a larger element, but no largest.
出处、作者:皮皮采撷自 Peter D. Lax 与 Maria Shea Terrell 所著的
《Calculus With Applications》
备注:英文在比较三个以上的事物时,才会使用最高级
另外,该叙述确实是有反例的,如 empty set 或 {-1/n: n∈N} 等 (已关灯)
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