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  1. The Aristotelian Continuum. A Formal Characterization.Peter Roeper - 2006 - Notre Dame Journal of Formal Logic 47 (2):211-232.
    While the classical account of the linear continuum takes it to be a totality of points, which are its ultimate parts, Aristotle conceives of it as continuous and infinitely divisible, without ultimate parts. A formal account of this conception can be given employing a theory of quantification for nonatomic domains and a theory of region-based topology.
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  • Externalism, internalism, and logical truth.Corine Besson - 2009 - Review of Symbolic Logic 2 (1):1-29.
    The aim of this paper is to show what sorts of logics are required by externalist and internalist accounts of the meanings of natural kind nouns. These logics give us a new perspective from which to evaluate the respective positions in the externalist-internalist debate about the meanings of such nouns. The two main claims of the paper are the following: first, that adequate logics for internalism and externalism about natural kind nouns are second-order logics; second, that an internalist second-order logic (...)
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