You can picture certifiable as one question asked about anything: would an official put their name on a paper about this? The word is built exactly that way — certify plus -able, able to be certified. Picture an inspector with a pen, looking, deciding, signing. Everything the word does comes from what is written on that paper. Milk that passes the test. A person a doctor signs into hospital. A hit so obvious it is as if someone had already stamped it.

可以想成這個字在問一句話:有沒有人願意在紙上簽名,為這件事背書?它的組成正好就是這樣:certify(開證明)加 -able(可以被…的)。畫面是一個拿著筆的檢查員,看一看、決定、簽下去。後面每個意思的差別,只在那張紙上寫的是什麼。可能是牛奶合格,可能是醫生簽字把人送醫,也可能是紅到像早就蓋過章。

From the word’s history

From certify plus the suffix -able, which comes through Old French -able from Latin -abilis / -bilis, 'able to be'. So the word is literally 'able to be certified'.

由 certify 加上字尾 -able 組成。-able 經由古法文 -able 來自拉丁文 -ābilis/-bilis,意思是「可以被…的」。所以這個字字面上就是「可以被開出證明的」。

Wiktionary, "certifiable"

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