Is modus ponens valid for the indicative conditional? McGee [1985] famously presents several alleged counterexamples to this inference rule. More recently, Kolodny and MacFarlane [2010] and Willer [2010] argue that modus ponens is unreliable in certain hypothetical contexts. However, none of these attacks undermines an informational conception of logic on which modus ponens is valid.

Where does the line between the possible and the impossible fall? One influential answer to this question is succinctly expressed by the thesis that there are no brute necessities. Typically, that thesis is taken to be non-contingent by its proponents. In this paper, I shall argue that if it is necessary, it is so brutely. From this, it follows that there could be brute necessities. But this has no tendency to show that there are any. On the resulting view, the world is full of contingency—but only contingently so.

It is often supposed that, given two potential objects of choice X and Y, a specific set of circumstances, and a specific choosing agent, one of the following must be true: (1) opting for X is a better choice than opting for Y, (2) opting for Y is a better choice than opting for X, or (3) opting for X and opting for Y are exactly equally good choices. My aim in this paper is to show how some philosophical insights concerning color perception can illuminate the possibility of two options, X and Y, being such that, even given a specific set of circumstances and a specific choosing agent, none of (1), (2), or (3) holds, but X and Y are positively related to one another as “on a par.”

Derek Parfit presents his Mere Addition Paradox in order to demonstrate that it is extremely difficult to avoid the Repugnant Conclusion. And in order to avoid it, Parfit has embraced perfectionism. However, Stuart Rachels and Larry Temkin, taking their lead from Parfit, have concluded, instead, that the Repugnant Conclusion can be avoided by denying the axiom of transitivity with respect to the all-things-considered-better-than relation. But this seems to present a major challenge to how we evaluate normatively. In this article I show how the Mere Addition Paradox and the Repugnant Conclusion can both be avoided without subscribing to perfectionism, and without sacrificing the axiom of transitivity.

We present Backward Clock, an original counterexample to Robert Nozick’s truth-tracking analysis of propositional knowledge, which works differently from other putative counterexamples and avoids objections to which they are vulnerable. We then argue that four ways of analyzing knowledge in terms of safety, including Duncan Pritchard’s, cannot withstand Backward Clock either.