 In the rest of the treatise, Paul considers, in ch.3, the objections which Heytesbury had directed at Swyneshed’s solution, many of which had already been addressed in discussing the Conclusions and Corollaries in ch.2; shows at some length, in ch.4, how his solution deals with the much-discussed example where Socrates only says ‘Socrates says a falsehood’; extends the account, in ch.5, to deal with other examples, such as that where Socrates says that his sole business is to be hung on the gallows, which are not obviously insolubles until the background scenario is added; in ch.6 to examples like ‘A falsehood exists’ which become insoluble in a suitable scenario; and in ch.7 to examples involving exclusive and exceptive propositions, such as ‘Only a false proposition is exclusive’ (assuming it is the only exclusive proposition) and ‘No proposition except A is false’ (where this is A and is the only exceptive proposition). 