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Elaine Landry [18]Elaine M. Landry [1]Elaine Marie Landry [1]
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Elaine Landry
University of California, Davis
  1. Categories for the Working Philosopher.Elaine Landry (ed.) - 2017 - Oxford University Press.
    This is the first volume on category theory for a broad philosophical readership. It is designed to show the interest and significance of category theory for a range of philosophical interests: mathematics, proof theory, computation, cognition, scientific modelling, physics, ontology, the structure of the world.
     
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  2. Shared Structure Need Not Be Shared Set-Structure.Elaine Landry - 2007 - 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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  3. Categories in Context: Historical, Foundational, and Philosophical.Elaine Landry & Jean-Pierre Marquis - 2005 - 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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  4. How to Be a Structuralist All the Way Down.Elaine Landry - 2011 - 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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  5.  15
    Categories in Context: Historical, Foundational, and Philosophical &Dagger.Elaine Landry & Jean-Pierre Marquis - 2005 - 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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  6. Structural Realism: Structure, Object, and Causality.Elaine Landry & Dean Rickles (eds.) - 2012 - Springer.
     
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  7.  51
    The Genetic Versus the Axiomatic Method: Responding to Feferman 1977: The Genetic Versus the Axiomatic Method: Responding to Feferman 1977.Elaine Landry - 2013 - Review of Symbolic Logic 6 (1):24-51.
    Feferman 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, we can be structuralists all the way down ; (...)
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  8. Category Theory: The Language of Mathematics.Elaine Landry - 1999 - 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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  9. A Minimal Construal of Scientific Structuralism.Katherine Brading & Elaine Landry - unknown
    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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  10.  85
    Structures, Fictions, and the Explanatory Epistemology of Mathematics in Science: Christopher Pincock: Mathematics and Scientific Representation. New York: Oxford University Press, 2012, 330pp, $65.00 HB.Mark Balaguer, Elaine Landry, Sorin Bangu & Christopher Pincock - 2013 - Metascience 22 (2):247-273.
  11.  99
    Logicism, Structuralism and Objectivity.Elaine Landry - 2001 - Topoi 20 (1):79-95.
  12.  31
    Category Theory as a Framework for an in Re Interpretation of Mathematical Structuralism.Elaine Landry - 2006 - In Johan van Benthem, Gerhard Heinzman, M. Rebushi & H. Visser (eds.), The Age of Alternative Logics. Springer. pp. 163--179.
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  13. Reconstructing Hilbert to Construct Category Theoretic Structuralism.Elaine Landry - unknown
    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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  14.  21
    Plato Was NOT A Mathematical Platonist.Elaine Landry - unknown
    No categories
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  15.  40
    Mind the Gap: Steven French: The Structure of the World: Metaphysics and Representation. Oxford: OUP, 2014, 416pp, ISBN: 978-0-19-968484-7, ₤50.00 HB.Elaine Landry - 2016 - Metascience 25 (2):183-188.
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  16.  30
    Intuition, Objectivity and Structure.Elaine Landry - 2006 - In Emily Carson & Renate Huber (eds.), Intuition and the Axiomatic Method. Springer. pp. 133--153.
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  17.  1
    Semantic Realism.Elaine Landry - 1998 - The Paideia Archive: Twentieth World Congress of Philosophy 34:6-12.
    I argue that if we distinguish between ontological realism and semantic realism, then we no longer have to choose between platonism and formalism. If we take category theory as the language of mathematics, then a linguistic analysis of the content and structure of what we say in and about mathematical theories allows us to justify the inclusion of mathematical concepts and theories as legitimate objects of philosophical study. Insofar as this analysis relies on a distinction between ontological and semantic realism, (...)
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  18. Structures, Objects and Causality.Elaine Landry & Dean Rickles (eds.) - forthcoming - Springer.
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  19. Structure, Objects and Causality, , Western Ontario Series in Philosophy of Science, Vol. 77.Elaine M. Landry & Dean Rickles (eds.) - 2011 - Springer.
     
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