Perception is often categorical: the perceptual system selects one interpretation of a stimulus even when evidence in favor of other interpretations is appreciable. Such categorization is potentially in conflict with normative decision theory, which mandates that the utility of various courses of action should depend on the probabilities of all possible states of the world, not just that of the...

This paper explores the question of whether an agent can freely and willfully act against her all-things-considered best judgment. I construct the case of an agent acting against the demands of impartial morality that give her decisive reason to act, without compromising her full agential power and strong will. I call this her demonstration of free irrationality and distinguish it from the acco...

We study properties of coefficients of a linear form, originating from a multiple integral. As a corollary, we prove Vasilyev's conjecture, connected with the problem of irrationality of the Riemann zeta function at odd integers.

It is widely agreed that obsessive-compulsive disorder involves irrationality. But where in the complex of states and processes constitutes OCD should this irrationality be located? A pervasive assumption both psychiatric philosophical literature seat located obsessive thoughts characteristic OCD. Building on a puzzle about insight into OCD, we challenge assumption, argue instead emotions are s...

The three main methods used in diophantine analysis of q-series are combined to obtain new upper bounds for irrationality measures of the values of the q-logarithm function