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On Cantor's theorem

Journal of Symbolic Logic 2 (3):120-124 (1937)

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  1. Working from Within: The Nature and Development of Quine's Naturalism.Sander Verhaegh - 2018 - New York: Oxford University Press.
    During the past few decades, a radical shift has occurred in how philosophers conceive of the relation between science and philosophy. A great number of analytic philosophers have adopted what is commonly called a ‘naturalistic’ approach, arguing that their inquiries ought to be in some sense continuous with science. Where early analytic philosophers often relied on a sharp distinction between science and philosophy—the former an empirical discipline concerned with fact, the latter an a priori discipline concerned with meaning—philosophers today largely (...)
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  • Inception of Quine's ontology.Lieven Decock - 2004 - History and Philosophy of Logic 25 (2):111-129.
    This paper traces the development of Quine's ontological ideas throughout his early logical work in the period before 1948. It shows that his ontological criterion critically depends on this work in logic. The use of quantifiers as logical primitives and the introduction of general variables in 1936, the search for adequate comprehension axioms, and problems with proper classes, all forced Quine to consider ontological questions. I also show that Quine's rejection of intensional entities goes back to his generalisation of Principia (...)
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  • Cantor's Theorem and Paradoxical Classes.Z. Šikić - 1986 - Mathematical Logic Quarterly 32 (13‐16):221-226.