Sentence:  Just what is <WSD>supposed</WSD> to be wrong with the pursuit of fame is not always made clear. Plato disapproved of competition for praise on the grounds that it would tempt the great to bend to the will of the crowd. It is hard to argue with that, and social degradation remains a fear. 
Meaning of the word marked with <WSD> tags:  To theorize or hypothesize.