 The notions of transmissive and non-transmissive argument, above and beyond being investigated for their own sake, have been put to work in relation to specific philosophical problems and issues. An important problem is whether Moore’s infamous proof of a material world and similar Moorean responses to the skeptic are successful. Another issue pertains to the solution of McKinsey paradox. A third issue concerns Boghossian’s (2001 and 2003) explanation of our logical knowledge via implicit definitions, criticised as resting on a non-transmissive argument schema (see for instance Ebert 2005 and Jenkins 2008). As the debate focusing on the last topic is only at an early stage of its development, it is preferable to concentrate on the first two, which will be reviewed in respectively Sect. 5.1 and Sect. 5.2 below.