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Profile: Elaine Landry (University of California, Davis)
  1. Elaine Landry & Dean Rickles (eds.) (forthcoming). Structures, Objects and Causality. Springer.
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  2. Mark Balaguer, Elaine Landry, Sorin Bangu & Christopher Pincock (2013). Structures, Fictions, and the Explanatory Epistemology of Mathematics in Science. Metascience 22 (2):247-273.
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  3. Elaine Landry (2013). The Genetic Versus the Axiomatic Method: Responding to Feferman 1977. Review of Symbolic Logic 6 (1):24-51.
    Feferman (1977) argues that category theory cannot stand on its own as a structuralist foundation for mathematics: he claims that, because the notions of operation and collection are both epistemically and logically prior, we require a background theory of operations and collections. Recently [2011], I have argued that in rationally reconstructing Hilbert’s organizational use of the axiomatic method, we can construct an algebraic version of category-theoretic structuralism. That is, in reply to Shapiro (2005), we can be structuralists all the way (...)
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  4. Elaine Landry & Dean Rickles (eds.) (2012). Structural Realism: Structure, Object, and Causality. Springer.
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  5. Elaine Landry (2011). How to Be a Structuralist All the Way Down. Synthese 179 (3):435 - 454.
    This paper considers the nature and role of axioms from the point of view of the current debates about the status of category theory and, in particular, in relation to the "algebraic" approach to mathematical structuralism. My aim is to show that category theory has as much to say about an algebraic consideration of meta-mathematical analyses of logical structure as it does about mathematical analyses of mathematical structure, without either requiring an assertory mathematical or meta-mathematical background theory as a "foundation", (...)
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  6. Elaine Landry, Reconstructing Hilbert to Construct Category Theoretic Structuralism.
    This paper considers the nature and role of axioms from the point of view of the current debates about the status of category theory and, in particular, in relation to the “algebraic” approach to mathematical structuralism. My aim is to show that category theory has as much to say about an algebraic consideration of meta-mathematical analyses of logical structure as it does about mathematical analyses of mathematical structure, without either requiring an assertory mathematical or meta-mathematical background theory as a “foundation”, (...)
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  7. Elaine Landry (2007). Shared Structure Need Not Be Shared Set-Structure. Synthese 158 (1):1 - 17.
    Recent semantic approaches to scientific structuralism, aiming to make precise the concept of shared structure between models, formally frame a model as a type of set-structure. This framework is then used to provide a semantic account of (a) the structure of a scientific theory, (b) the applicability of a mathematical theory to a physical theory, and (c) the structural realist’s appeal to the structural continuity between successive physical theories. In this paper, I challenge the idea that, to be so used, (...)
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  8. Katherine Brading & Elaine Landry (2006). Scientific Structuralism: Presentation and Representation. Philosophy of Science 73 (5):571-581.
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  9. Elaine Landry (2006). Category Theory as a Framework for an in Re Interpretation of Mathematical Structuralism. In. In Johan van Benthem, Gerhard Heinzman, M. Rebushi & H. Visser (eds.), The Age of Alternative Logics. Springer. 163--179.
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  10. Elaine Landry (2006). Intuition, Objectivity and Structure. In. In Emily Carson & Renate Huber (eds.), Intuition and the Axiomatic Method. Springer. 133--153.
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  11. Katherine Brading & Elaine Landry, A Minimal Construal of Scientific Structuralism.
    The focus of this paper is the recent revival of interest in structuralist approaches to science and, in particular, the structural realist position in philosophy of science . The challenge facing scientific structuralists is three-fold: i) to characterize scientific theories in ‘structural’ terms, and to use this characterization ii) to establish a theory-world connection (including an explanation of applicability) and iii) to address the relationship of ‘structural continuity’ between predecessor and successor theories. Our aim is to appeal to the notion (...)
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  12. Elaine Landry & Jean-Pierre Marquis (2005). Categories in Context: Historical, Foundational, and Philosophical. Philosophia Mathematica 13 (1):1-43.
    The aim of this paper is to put into context the historical, foundational and philosophical significance of category theory. We use our historical investigation to inform the various category-theoretic foundational debates and to point to some common elements found among those who advocate adopting a foundational stance. We then use these elements to argue for the philosophical position that category theory provides a framework for an algebraic in re interpretation of mathematical structuralism. In each context, what we aim to show (...)
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  13. Elaine Landry (2001). Logicism, Structuralism and Objectivity. Topoi 20 (1):79-95.
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  14. Elaine Landry (1999). Category Theory: The Language of Mathematics. Philosophy of Science 66 (3):27.
    In this paper I argue that category theory ought to be seen as providing the language for mathematical discourse. Against foundational approaches, I argue that there is no need to reduce either the content or structure of mathematical concepts and theories to the constituents of either the universe of sets or the category of categories. I assign category theory the role of organizing what we say about the content and structure of both mathematical concepts and theories. Insofar, then, as the (...)
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