To the layman, the philosopher, or the classical physicist, a statement of the form " this particle doesn't have a well-defined position" ( or momentum, or x-component of spin angular momentum, or whatever ) sounds vague, incompetent, or ( worst of all ) profound ㅋㅋㅋㅋㅋ


문외한, 철학자, 혹은 고전물리학자들에게 있어서, " 이 입자가 잘 정의된 포지션(혹은 운동량, 혹은 스핀의 x성분, whatever~) 을 갖지 않는다는 진술은... 모호하게 들리거나, 혹은 무능하게 들리거나 혹은 ( 최악의 경우 ) 심오하게 들릴지도 모른다.


It is none of these. But its precise meaning is, I think, almost impossible to convey to anyone who has not studied quantum mechanics in some depth. If you find your own comprehension slipping, from time to time ( if you don't, you probably haven't understood the problem), come back to the spin-1/2 system: It is the simplest and cleanest context for thinking through the conceptual paradoxes of quantum mechanics.