In this paper, I want to explore whether the novel truth-value gap theory on vagueness which was proposed by Michael Tye need to take the third semantic value different from being true and false or not? Basically, I thought that the role of third value is indeed opaque in his theory. One the one hand, Tye contended that it is impossible to deal with vagueness in terms of the third semantic value, namely indefinite, but on the other hand he ipso facto did not give up the third value in his account on vagueness. Eventually, Tye denied that the truth-value gap could be identical with the third value but due to there is no determinate fact of the matter about where there are sentences that are neither true, indefinite, nor false. I consider that Tye retained the third value might be in virtue of two main postulates, the first one is so-called borderline cases postulate (BCP) and the other one is vague objects postulate (VOP). Unfortunately, I suggest that neither these two postulates are able to demonstrate the maintenance of the third value. First of all, the supervaluationism and epistemic theory showed that even there are borderline cases, the third semantic is not necessary for the construction of truth-value gap. In the next place, from a set-theoretical point of view the vague objects postulate could be consistent with classical logic. Thus, in Tye's truth-value gap theory, if there is no further reason besides BCP and VOP, the third semantic value seems to be redundant.