A notorious problem that has recently received increased attention in axiology, normative theory and population ethics is the apparent ubiquity of what can be generally called nondeterminacy. This paper illustrates how nondeterminacy can spawn cyclical rankings. So, accepting that practical reasons can admit of nondeterminacy challenges the widely held idea that ‘better than’ is transitive. As a result, standard approaches to rational choice under nondeterminacy fail to be action-guiding, since in some situations all options are dominated, that is, impermissible according (...) to standard rational choice criteria. (shrink)

How should one understand comparisons in which neither of two alternatives is at least as good as the other? Much recent literature on comparability problems focuses on what the appropriate explanation of the phenomenon is. Is it due to vagueness or the possibility of non-conventional comparative relations such as parity? This paper argues that the discussions on how to best explain comparability problems has reached an impasse at which it is hard to make any progress. To advance the discussion we (...) suggest a new classification of comparability problems that focuses on the problems they cause for practical reasoning. (shrink)

Ruth Chang has argued for the existence of a fourth positive value relation, distinct from betterness, worseness and equality, which she calls “parity.” In an earlier article I seemed to criticize Chang's suggestion by offering an interval model for the values of items that I claimed could accommodate all the phenomena characteristic of parity. Wlodek Rabinowicz, offering his own model of value relations, endorsed one central feature of my proposal: the need to distinguish permissible preferences from required ones. But he, (...) along with Chang, correctly pointed out that my own model suffered from serious formal problems. The present article offers an improved interval model, but the main point is not the model itself. Rather, it is the derivation of the model from a response-dependent account of practical rationality. This derivation helps explain why we have a concept for which Rabinowicz's model is appropriate, and therefore supplements Chang's existence arguments. My conclusion is that we can take Chang's view, Rabinowicz's and mine as providing a reinforcing set of views. (shrink)