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  1. Russell's Schema, Not Priest's Inclosure.Gregory Landini - 2009 - History and Philosophy of Logic 30 (2):105-139.
    On investigating a theorem that Russell used in discussing paradoxes of classes, Graham Priest distills a schema and then extends it to form an Inclosure Schema, which he argues is the common structure underlying both class-theoretical paradoxes (such as that of Russell, Cantor, Burali-Forti) and the paradoxes of ?definability? (offered by Richard, König-Dixon and Berry). This article shows that Russell's theorem is not Priest's schema and questions the application of Priest's Inclosure Schema to the paradoxes of ?definability?.1 1?Special thanks to (...)
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  • Propositional Functions in Extension.Robert Trueman - 2011 - Theoria 77 (4):292-311.
    In his “The Foundations of Mathematics”, Ramsey attempted to marry the Tractarian idea that all logical truths are tautologies and vice versa, and the logicism of the Principia. In order to complete his project, Ramsey was forced to introduce propositional functions in extension (PFEs): given Ramsey's definitions of 1 and 2, without PFEs even the quantifier-free arithmetical truth that 1 ≠ 2 is not a tautology. However, a number of commentators have argued that the notion of PFEs is incoherent. This (...)
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  • The Evolution of Principia Mathematica; Bertrand Russell's Manuscripts and Notes for the Second Edition.Gregory Landini - 2013 - History and Philosophy of Logic 34 (1):79-97.
    Bernard Linsky, The Evolution of Principia Mathematica; Bertrand Russell's Manuscripts and Notes for the Second Edition. Cambridge: Cambridge University Press. 2011. 407 pp. + two plates. $150.00/£...
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  • The Versatility of Universality in Principia Mathematica.Brice Halimi - 2011 - History and Philosophy of Logic 32 (3):241-264.
    In this article, I examine the ramified-type theory set out in the first edition of Russell and Whitehead's Principia Mathematica. My starting point is the ‘no loss of generality’ problem: Russell, in the Introduction (Russell, B. and Whitehead, A. N. 1910. Principia Mathematica, Volume I, 1st ed., Cambridge: Cambridge University Press, pp. 53–54), says that one can account for all propositional functions using predicative variables only, that is, dismissing non-predicative variables. That claim is not self-evident at all, hence a problem. (...)
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  • Gilbert Ryle and the Ethical Impetus for Know-How.Matt Dougherty - 2020 - Journal for the History of Analytical Philosophy 8 (1):01-21.
    This paper aims to shed light on an underexplored aspect of Gilbert Ryle’s interest in the notion of “knowing-how”. It is argued that in addition to his motive of discounting a certain theory of mind, his interest in the notion also stemmed (and perhaps stemmed more deeply) from two ethical interests: one concerning his own life as a philosopher and whether the philosopher has any meaningful task, and one concerning the ancient issue of whether virtue is a kind of knowledge. (...)
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