This means there is no one else. It means there is nothing else. Only the thing you named fits this idea.
Noun + をおいて + <ほかに> + Noun + はいない / はないPrimary
This means there is no one else. It means there is nothing else. Only the thing you named fits this idea.
この難解なプロジェクトを任せられるのは、経験豊富な田中さんをおいて他にいないでしょう。
When it comes to entrusting someone with this difficult project, there is surely no one else but the experienced Mr. Tanaka.
当時、その大役を果たせる人物は、彼をおいていなかった。
At that time, there was no one besides him who could fulfill that important role.
次期リーダーとして、彼女をおいて他に適切な人材はいないと、誰もが認めている。
Everyone acknowledges that, as the next leader, there is no suitable person other than her.
この料理の味を決定づけるものは、この秘伝のスパイスをおいて他にない。
Besides this secret spice, there is nothing else that defines the flavor of this dish.
この繊細な感情を表現できる画家は、現代において彼をおいて存在しないだろう。
In this day and age, there is probably no painter other than him who can express this delicate emotion.
This phrase is like wearing a fancy suit. You use it for important talks or writing. It sounds too serious for everyday chat.
This phrase means "only this one." It says nothing else is as good. "〜しかない" means "there is no other choice." It shows you have to use what you have. "〜にほかならない" means "it is nothing but." It tells you what something truly is. It does not pick the best option.
Don't use this when talking about bad things. For example, you cannot say "There are no problems except problems."
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