Nick_Tarleton comments on Possibility and Could-ness - Less Wrong
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Another way of putting those statements would be:
1. It is (physically) possible for some people to jump off a cliff.
2. It is (physically) impossible for NonSuicidalGuy to jump off a cliff.
Or
It is physically possible only for some people to jump off a cliff.
Or
1. It is physically possible for NonSuicidalGuy to jump off a cliff, if he wanted.
2. It is physically impossible for NonSuicidalGuy to want to jump off a cliff.