When people say one thing is infinitely better, worse, easier, or more interesting than another, they mean the gap is huge — so big that putting the two side by side almost feels unfair. You hear this most in comparisons: infinitely more patient, infinitely preferable, infinitely more complicated.

When people say當人們說 one thing is infinitely better, worse, easier, or more interesting一件事infinitely更好、更差、更簡單、或更有趣 than another比另一件, they mean意思是 the gap is huge差距很大 — so big that大到 putting the two side by side把兩者放在一起比 almost feels unfair幾乎顯得不公平。You hear this most你最常聽到這用法 in comparisons在比較句裡: infinitely more patient更有耐心, infinitely preferable更好, infinitely more complicated更複雜。

It is not slang, but it is not a maths class either; careful speakers and writers like it.

It is not slang它不是俚語, but it is not a maths class either但也不是數學課用語; careful speakers and writers講究的人說話或寫作 like it都喜歡用它。

Though actually, they almost never mean “with no end at all.” They are borrowing the old idea of “no limit” to say “very, very much more.” In maths and philosophy, infinitely can still keep the stricter sense: going on without stopping. In ordinary talk, the comparison use is the one you will meet first.

Though actually不過其實, they almost never mean他們幾乎從不是指 “with no end at all”完全沒有盡頭。They are borrowing他們是借用 the old idea of “no limit”沒有限制這個舊概念 to say來說 “very, very much more”多很多很多。In maths and philosophy在數學和哲學裡, infinitely can still keep infinitely仍可以保留 the stricter sense比較嚴格的意思: going on without stopping不斷持續、沒有停止。In ordinary talk日常說話裡, the comparison use比較句的用法 is the one you will meet first是你會先遇到的。