You can think of disagreeable as two things that will not sit together. Inside the word is agree: what is agreeable goes along with you, and what is disagreeable pushes back. Put your hand near it and something in you moves away — a smell, a taste, a task, a remark. Nothing here has to be dramatic. The word marks the small, steady friction that makes you want to be somewhere else.
From the word’s history
The packet's Wiktionary etymology derives the word from Middle English disagreable, from Middle French desagreable, from Old French desagraable, and notes that by surface analysis it is simply dis- + agreeable — so the 'does not go together' picture is in the word's own parts.
依照本次提供的維基詞典字源,這個字繼承自中古英文 disagreable,再往前是中古法文 desagreable、古法文 desagraable;從表面結構看就是 dis- 加 agreeable。所以「合不來」這個畫面不是後來想出來的比喻,它本來就寫在這個字的零件裡。
Wiktionary etymology supplied in this packet (source_ref kaikki:3f6f69a190036ae4:1023634750)
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