안/못
an/mot
Who built the wall — you or someone else?
The picture A wall stands across your path. All that changes is whether you built it yourself or someone else did.
Where the picture shows up in 안/못
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a wall you built
저는 고기를 안 먹어요.
jeo-neun go-gi-reul an meo-geo-yo
I don't eat meat.
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a wall built by circumstances
차가 막혀서 못 갔어요.
cha-ga ma-kyeo-seo mot ga-sseo-yo
I couldn't make it — traffic.
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a wall built by ability
저는 수영을 못 해요.
jeo-neun su-yeong-eul mot hae-yo
I can't swim.
수영 안 해요 means you can swim but choose not to. A completely different sentence.
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insisting you built no wall
일부러 안 한 거 아니에요.
il-bu-reo an han geo a-ni-e-yo
I didn't skip it on purpose.
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a wall built by the rules
여기서는 사진을 못 찍어요.
yeo-gi-seo-neun sa-ji-neul mot jji-geo-yo
You can't take photos here.
A rule is someone else's wall, so it takes 못.