Philosophy in and out of the armchair / Kwame Anthony Appiah -- Restricted quantifiers and logical theory / Thomas Baldwin -- Logical form / James Cargile -- The Socratic Elenchus : no problem / James Doyle -- What makes mathematics mathematics? / Ian Hacking -- Smiley's distinction between rules of inference and rules of proof / Lloyd Humberstone -- Relative validity and vagueness / Rosanna Keefe -- The force of irony / Jonathan Lear -- The matter of form : logic's beginnings / Alex Oliver -- Abstractionist class theory : is there any such thing? / Michael Potter -- A case of mistaken identity / Graham Priest -- Inferential semantics for first-order logic : motivating rules of inference from rules of evaluation / Neil Tennant.