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  1. Reference and Paradox.Claire Ortiz Hill - 2004 - Synthese 138 (2):207-232.
    Evidence is drawn together to connect sources of inconsistency that Frege discerned in his foundations for arithmetic with the origins of the paradox derived by Russell in "Basic Laws" I and then with antinomies, paradoxes, contradictions, riddles associated with modal and intensional logics. Examined are: Frege's efforts to grasp logical objects; the philosophical arguments that compelled Russell to adopt a description theory of names and a eliminative theory of descriptions; the resurfacing of issues surrounding reference, descriptions, identity, substitutivity, paradox in (...)
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  • The varied sorrows of logical abstraction.Claire Ortiz Hill - 1997 - Global Philosophy 8 (1-3):53-82.
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  • Russell's theory of types, 1901–1910: its complex origins in the unpublished manuscripts.Francisco A. Rodriguez Consuegra - 1989 - History and Philosophy of Logic 10 (2):131-164.
    In this article I try to show the philosophical continuity of Russell's ideas from his paradox of classes to Principia mathematica. With this purpose, I display the main results (descriptions, substitutions and types) as moments of the same development, whose principal goal was (as in his The principles) to look for a set of primitive ideas and propositions giving an account of all mathematics in logical terms, but now avoiding paradoxes. The sole way to reconstruct this central period in Russell (...)
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  • Jean van Heijenoort’s Conception of Modern Logic, in Historical Perspective.Irving H. Anellis - 2012 - Logica Universalis 6 (3-4):339-409.
    I use van Heijenoort’s published writings and manuscript materials to provide a comprehensive overview of his conception of modern logic as a first-order functional calculus and of the historical developments which led to this conception of mathematical logic, its defining characteristics, and in particular to provide an integral account, from his most important publications as well as his unpublished notes and scattered shorter historico-philosophical articles, of how and why the mathematical logic, whose he traced to Frege and the culmination of (...)
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