Why I Am Not a Likelihoodist

Frequentist statistical methods continue to predominate in many areas of science despite prominent calls for "statistical reform." They do so in part because their main rivals, Bayesian methods, appeal to prior probability distributions that arguably lack an objective justification in typical cases. Some methodologists find a third approach called likelihoodism attractive because it avoids important objections to frequentism without appealing to prior probabilities. However, likelihoodist methods do not provide guidance for belief or action, but only assessments of data as evidence. I argue that there is no good way to use those assessments to guide beliefs or actions without appealing to prior probabilities, and that as a result likelihoodism is not a viable alternative to frequentism and Bayesianism for statistical reform efforts in science.

Color and Shape: A Plea for Equal Treatment

Many philosophers, especially in the wake of the 17th century, have favored an inegalitarian view of shape and color, according to which shape is mind-independent while color is mind-dependent. In this essay, I advance a novel argument against inegalitarianism. The argument begins with an intuition about the modal dependence of color on shape, namely: it is impossible for something to have a color without having a shape (i.e. without having some sort of spatial extension, or at least spatial location). I then argue that, given reasonable assumptions, inegalitarianism contradicts this modal-dependence principle. Given the plausibility of the latter, I conclude that we should reject inegalitarianism in favor of some form of egalitarianism—either a subjective egalitarianism on which both shape and color are mind-dependent or an objective egalitarianism on which both shape and color are mind-independent.