19/04/23 07:48:39.36 dlY4UBza.net
>>876
>有理数全体について、各有理数が同じ重みをもつように
>測度を設定することはできません 可算加法性に反するので
また、半可通のキチガイが喚いているね
”Solovay model
exclusive of the axiom of choice, but in which all sets of real numbers are Lebesgue measurable.”
ここで
”all sets of real numbers are Lebesgue measurable.”で、
”all sets of real numbers”だから、ここに有理数の集合は含まれます。
なので
”Lebesgue measurable”で、かつ、測度は0でしょ?w(^^
URLリンク(en.wikipedia.org)
Solovay model
In the mathematical field of set theory, the Solovay model is a model constructed by Robert M. Solovay (1970) in which all of the axioms of Zermelo?Fraenkel set theory (ZF) hold, exclusive of the axiom of choice, but in which all sets of real numbers are Lebesgue measurable.