"Propositions, Properties and Paradox"

Contrary to views that diagnose the paradoxes of truth and related notions in terms of sentences not expressing propositions, or expressing non-paradoxical propositions different from the propositions they appear to express, or expressing multiple propositions none of which are paradoxical, the paper argues that the basic paradoxes are paradoxes of propositions; or alternatively, of sentential quantification. Similarly for the paradoxes of satisfaction: the basic paradoxes arise for properties, or for quantification into predicate position. (In the latter case, it’s argued that adopting the syntactic restrictions of Russellian type theory is not the best way to go.). The basic paradoxes can be handled either in classical or non-classical logic, but the paper focuses mostly on non-classical options.