Zooming irresponsibly down the slippery slope

 I show that some famous arguments against moral responsibility — most notably, Galen Strawson’s Basic Argument and Susan Wolf’s Troubling Train of Thought — reason in an unnatural way: if a clearly has some property that results in our saying that a is F, and if b less clearly has that property, then it is the case that b is F. I argue that this problem is not present in reasons-responsiveness theories of responsibility. I do so by applying Boolos’s elegant technique of generating spanning conditionals from universal instantiations of mathematical induction premises.