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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DOI 10.1093/mind/fzi915
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The Functions of Russell's No Class Theory.Kevin C. Klement - 2010 - Review of Symbolic Logic 3 (4):633-664.

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