Abstract
Two of the main intuitions that underlie the phenomenon of vagueness are the truth-functional and the penumbral intuitions. After presenting and contrasting them, I will put forward Tappenden's gappy approach to vagueness (which takes into account the truth-functional intuition). I will contrast Tappenden's view with another of the theories of vagueness that see it as a semantic phenomenon: Supervaluationism (which takes into account the penumbral intuition). Then I will analyze some objections to Tappenden's approach and some objections to Supervaluationism. Finally, I will present my own worries about Tappenden's account.
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