Penelope Rush University of Tasmania

  • Faculty, University of Tasmania
  • PhD, University of Queensland, 2005.

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  1. Penelope Rush (ed.) (2014). The Metaphysics of Logic. Cambridge University Press.
  2. Penelope Rush (2013). The Applicability of Mathematics in Science: Indispensability and Ontology. International Studies in the Philosophy of Science 27 (2):219-222.
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  3. Penelope Rush (2012). Logic or Reason? Logic and Logical Philosophy 21 (2):127-163.
    This paper explores the question of what logic is not. It argues against the wide spread assumptions that logic is: a model of reason; a model of correct reason; the laws of thought, or indeed is related to reason at all such that the essential nature of the two are crucially or essentially co-illustrative. I note that due to such assumptions, our current understanding of the nature of logic itself is thoroughly entangled with the nature of reason. I show that (...)
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  4. Penelope Rush (2012). Objectivities. Studia Philosophica Estonica 5 (1):1-16.
    I argue that one in particular of CrispinWright’s attempts to capture our common or intuitive concepts of objectivity, warrant, and other associated notions, relies on an ambiguity between a given constructivist reading of the concepts and at least one other, arguablymore ‘ordinary’, version of the notions he tries to accommodate. I do this by focusing on one case in point, and concluding with a brief argument showing how this case generalises. I demonstrate why this ambiguity is unacceptable and also that (...)
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  5. P. Rush (2010). Where Meaning Is. South African Journal of Philosophy 29 (4):391-403.
    In an attempt to find some new ways of tackling old problems about meaning, I explore some possible models in which meaning may be conceptually situated. I take a close look at a traditional realist conception of meaning and give some reasons as to why we may have more room to move within this than is immediately apparent. Alternative frameworks are explored along the way. The approach of thus situating meaning is an ontological one, but it is also an epistemological, (...)
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  6. Ross Brady & Penelope Rush (2009). Four Basic Logical Issues. Review of Symbolic Logic 2 (3):488-508.
    Four Basic Logical Issues: The paper addresses what we see as the four major issues in logic. The overriding issue is that of the choice of logic. We start with some discussion of the preliminary issue of whether there is such a 'one true logic,' but we reserve the main discussion for the first issue of 'classical logic versus nonclassical logic.' Here, we discuss the role of meaning and truth, the relation between classical logic and classical negation, and whether and, (...)
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  7. R. T. Brady & P. A. Rush (2008). What is Wrong with Cantor's Diagonal Argument? Logique Et Analyse 51 (1):185-219..
    We first consider the entailment logic MC, based on meaning containment, which contains neither the Law of Excluded Middle (LEM) nor the Disjunctive Syllogism (DS). We then argue that the DS may be assumed at least on a similar basis as the assumption of the LEM, which is then justified over a finite domain or for a recursive property over an infinite domain. In the latter case, use is made of Mathematical Induction. We then show that an instance of the (...)
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  8. P. Rush (1999). Shapiro, S.-Philosophy of Mathematics. Philosophical Books 40:283-283.
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  9. Penelope Rush, The Philosophy of Mathematics and the Independent 'Other'.
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