One way to hold this word: n is a place-holder for any number at all, and -th turns it into a position, the way four becomes fourth. So nth points at a place in a line without saying which place. From that one idea, two everyday uses grow: a position nobody has bothered to count to, and a height nobody can reach the top of.

可以想成:n 是一個代替任何數字的空位,-th 把它變成順序,就像 four 變成 fourth。所以 nth 指著一排東西裡的某個位置,但不說是哪一個。日常英文用的兩個意思,都是從這個「沒有指定是第幾個」長出來的:一個是「多到懶得再數」的那一次,一個是「高到沒有盡頭」的那個程度。

From the word’s history

From n plus -th, the ending that makes ordinary numbers into positions (four to fourth), so nth is 'position n'.

由 n 加上表示順序的 -th 組成(就像 four 變 fourth),所以 nth 的字面就是「第 n 個」。

Wiktionary, "nth"

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