Introduction -- Preliminaries -- Arguments from antiquity -- Medieval arguments -- The golden age of natural theology -- Unusual design arguments -- Hume -- Paley -- Darwin -- Loose ends -- The modern likelihood argument -- Intelligent design I: irreducible complexity -- Intelligent design II: specified complexity -- What is complexity? -- Supernatural agents and the role of laws -- A brief survey of physical law -- Fine tuning I: positive arguments -- Fine tuning II: objections -- Conclusion.