Joseph_Knecht comments on Possibility and Could-ness - Less Wrong
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Eliezer, my point was that you dedicated an entire follow-up post to chiding Brandon, in part for using realizable in his explanation since it implicitly refers to the same concept as could, and that you committed the same mistake in using reachable.
Anyway, I guess I misunderstood the purpose of this post. I thought you were trying to give a reductive explanation of possibility without using concepts such a "can", "could", and "able". If I've understood you correctly now, that wasn't the purpose at all: you were just trying to describe what people generally mean by possibility.