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Patricia Blanchette [10]Patricia A. Blanchette [10]
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Profile: Patricia Blanchette (University of Notre Dame)
  1.  8
    Frege's Conception of Logic.A. Blanchette Patricia - 2012 - Oup Usa.
    In Frege's Conception of Logic Patricia A. Blanchette explores the relationship between Gottlob Frege's understanding of conceptual analysis and his understanding of logic.
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  2. Frege on Consistency and Conceptual Analysis.Patricia A. Blanchette - 2007 - Philosophia Mathematica 15 (3):321-346.
    Gottlob Frege famously rejects the methodology for consistency and independence proofs offered by David Hilbert in the latter's Foundations of Geometry. The present essay defends against recent criticism the view that this rejection turns on Frege's understanding of logical entailment, on which the entailment relation is sensitive to the contents of non-logical terminology. The goals are (a) to clarify further Frege's understanding of logic and of the role of conceptual analysis in logical investigation, and (b) to point out the extent (...)
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  3.  48
    Frege On Shared Belief and Total Functions.Patricia A. Blanchette - 2012 - Journal of Philosophy 109 (1-2):9-39.
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  4.  82
    Frege and Hilbert on Consistency.Patricia A. Blanchette - 1996 - Journal of Philosophy 93 (7):317-336.
  5.  55
    Models and Modality.Patricia A. Blanchette - 2000 - Synthese 124 (1-2):45-72.
    This paper examines the connection between model-theoretic truth and necessary truth. It is argued that though the model-theoretic truths of some standard languages are demonstrably ''''necessary'''' (in a precise sense), the widespread view of model-theoretic truth as providing a general guarantee of necessity is mistaken. Several arguments to the contrary are criticized.
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  6.  48
    Relative Identity and Cardinality.Patricia Blanchette - 1999 - Canadian Journal of Philosophy 29 (2):205 - 223.
    Peter Geach famously holds that there is no such thing as absolute identity. There are rather, as Geach sees it, a variety of relative identity relations, each essentially connected with a particular monadic predicate. Though we can strictly and meaningfully say that an individual a is the same man as the individual b, or that a is the same statue as b, we cannot, on this view, strictly and meaningfully say that the individual a simply is b. It is difficult (...)
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  7.  1
    Frege and Hilbert on Consistency.Patricia A. Blanchette - 1996 - Journal of Philosophy 93 (7):317.
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  8.  26
    Frege's Reduction.Patricia A. Blanchette - 1994 - History and Philosophy of Logic 15 (1):85-103.
    This paper defends the view that Frege's reduction of arithmetic to logic would, if successful, have shown that arithmetical knowledge is analytic in essentially Kant's sense.It is argued, as against Paul Benacerraf, that Frege's apparent acceptance of multiple reductions is compatible with this epistemological thesis.The importance of this defense is that (a) it clarifies the role of proof, definition, and analysis in Frege's logicist works; and (b) it demonstrates that the Fregean style of reduction is a valuable tool for those (...)
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  9.  26
    The Breadth of the Paradox.Patricia Blanchette - 2016 - Philosophia Mathematica 24 (1):30-49.
    This essay examines Frege's reaction to Russell's Paradox and his views about the grounding of existence claims in mathematics. It is argued that Frege's strict requirements on existential proofs would rule out the attempt to ground arithmetic in. It is hoped that this discussion will help to clarify the ways in which Frege's position is both coherent and significantly different from the neo-logicist position on the issues of: what's required for proofs of existence; the connection between models, consistency, and existence; (...)
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  10.  30
    Logical Consequence.Patricia Blanchette - 2001 - In Lou Goble (ed.), The Blackwell Guide to Philosophical Logic. Blackwell. pp. 2001--115.
  11.  53
    Review of A. George and D. J. Velleman, Philosophies of Mathematics.Patricia Blanchette - 2003 - Philosophia Mathematica 11 (3):358-362.
  12.  28
    The Frege-Hilbert Controversy.Patricia Blanchette - 2007 - The Stanford Encyclopedia of Philosophy.
    In the early years of the twentieth century, Gottlob Frege and David Hilbert, two titans of mathematical logic, engaged in a controversy regarding the correct understanding of the role of axioms in mathematical theories, and the correct way to demonstrate consistency and independence results for such axioms. The controversy touches on a number of difficult questions in logic and the philosophy of logic, and marks an important turning-point in the development of modern logic. This entry gives an overview of that (...)
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  13.  19
    Review of Colin McGinn, Logical Properties[REVIEW]Patricia Blanchette - 2002 - Notre Dame Philosophical Reviews 2002 (3).
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  14.  6
    Notre Dame, Indiana May 20–May 23, 2009.Patricia Blanchette, Heike Mildenberger, André Nies, Anand Pillay, Alexander Razborov, Alexandra Shlapentokh, John R. Steel & Boris Zilber - 2009 - Bulletin of Symbolic Logic 15 (4).
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  15.  11
    Realism and Paradox.Patricia A. Blanchette - 2000 - Notre Dame Journal of Formal Logic 41 (3):227-241.
    This essay addresses the question of the effect of Russell's paradox on Frege's distinctive brand of arithmetical realism. It is argued that the effect is not just to undermine Frege's specific account of numbers as extensions (courses of value) but more importantly to undermine his general means of explaining the object-directedness of arithmetical discourse. It is argued that contemporary neo-Fregean attempts to revive that explanation do not successfully avoid the central problem brought to light by the paradox. Along the way, (...)
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  16.  3
    Critical Studies / Book Reviews. [REVIEW]Patricia Blanchette - 2003 - Philosophia Mathematica 11 (3):358-362.
  17.  1
    Reply to Cook, Rossberg and Wehmeier.Patricia Blanchette - 2015 - Journal for the History of Analytical Philosophy 3 (7).
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  18. Frege on Formality and the 1906 Independence-Test.Patricia A. Blanchette - 2014 - In Godehard Link (ed.), Formalism and Beyond: On the Nature of Mathematical Discourse. De Gruyter. pp. 97-118.
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  19. Logicism Reconsidered.Patricia A. Blanchette - 1990 - Dissertation, Stanford University
    This thesis is an examination of Frege's logicism, and of a number of objections which are widely viewed as refutations of the logicist thesis. In the view offered here, logicism is designed to provide answers to two questions: that of the nature of arithmetical truth, and that of the source of arithmetical knowledge. ;The first objection dealt with here is the view that logicism is not an epistemologically significant thesis, due to the fact that the epistemological status of logic itself (...)
     
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  20. 3 Mathematical Objects and Identity.Patricia Blanchette - 2007 - In Michael O'Rourke Corey Washington (ed.), Situating Semantics: Essays on the Philosophy of John Perry. pp. 73.
     
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