John Broome has argued that incomparability and vagueness cannot coexist in a given betterness order. His argument essentially hinges on an assumption he calls the ‘collapsing principle’. In an earlier article I criticized this principle, but Broome has recently expressed doubts about the cogency of my criticism. Moreover, Cristian Constantinescu has defended Broome’s view from my objection. In this paper, I present further arguments against the collapsing principle, and try to show that Constantinescu’s defence of Broome’s position fails.

According to a standard account of incomparability, two value bearers are incomparable if it is false that there holds a positive value relation between them. Due to the vagueness of the comparative predicates it may also be indeterminate as to which relation that holds - for each relation it is neither true nor false that it holds. John Broome has argued that indeterminacy cannot coexist with incomparability and since there seems to exist indeterminacy there cannot exist incomparability. At the core (...) of his argument lies the collapsing principle. There are several arguments against this principle; Erik Carlson has advanced most of these. In this paper two strategies in dealing with these arguments are discussed. One strategy is to deny the existence of a certain kind of properties; another strategy that has been advanced by Christian Constantinescu is to restrict the collapsing principle. In the paper it is argued that the first of these strategies is the most promising strategy. A novel argument in favour of this strategy is presented and several objections to the strategy are rebutted. Finally it is concluded that, even though this strategy deals with most objections, without a better argument in favour of the principle the debate seems to run into a stalemate. (shrink)

This thesis explores whether the three standard value relations, “better than”, “worse than” and “equally as good”, exhaust the possibilities in which things can relate with respect to their value. Or more precisely, whether there are examples in which one of these relations is not instantiated. There are cases in which it is not obvious that one of these relations does obtain; these are referred to as “hard cases of comparison”. These hard cases of comparison become interesting, since if it (...) not the case that the standard three value relations obtains in these cases then the three standard relations do not exhaust the possibility of instantiated value relations. It is argued that for some of the hard cases of comparison, the standard relations determinately obtain. For some it is indeterminate, due to vagueness, which of the three relations obtains, but it is determinate that one of them obtains. Thereafter it is argued that the influential Collapsing Argument fails in ruling out other accounts of the hard cases of comparison. Since one cannot depend on the Collapsing Argument in order to conclude that all items are related by the standard three relations, the investigation continues. It is argued that none of the hard cases of comparison are cases of incomparability. Furthermore, none of them are cases of a fourth basic positive value relation such as “parity”. Consequently, for all the hard cases of comparison one of the standard value relations holds, although sometimes we do not know which one and sometimes it is indeterminate which one holds. This means that there is no reason to assume that one of the standard three value relations does not hold between items we are comparing. This is followed by a brief discussion about the normative consequences of this result. The thesis ends with four different appendices in which related topics are discussed. (shrink)