A puzzle about weak belief

I present an intractable puzzle for the currently popular view that belief is weak – the view that expressions like ‘S believes p’ ascribe to S a doxastic attitude towards p that is rationally compatible with low credence that p. The puzzle concerns issues that arise on considering beliefs in conditionals. I show that proponents of weak belief either cannot consistently apply their preferred methodology when accommodating beliefs in conditionals, or must deny that beliefs in conditionals can be used in reasoning.