Remarks on propositional functions

Mind 114 (456):915-927 (2005)
Abstract
Peter Geach has said that Russell's use of ‘propositional function’ is ‘hopelessly confused and inconsistent’. Geach is right, and attempts to say what exactly a Russellian propositional function is, or is supposed to be, are bound to end in frustration. Nevertheless, it may be worthwhile to pursue an account of propositional functions that accommodates a good deal of what Russell says about them and that can provide some of what he expected of them.
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James Higginbotham (2008). Expression, Truth, Predication, and Context: Two Perspectives. International Journal of Philosophical Studies 16 (4):473 – 494.
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