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Profile: Jean-Pierre Marquis Marquis (Université de Montréal)
  1.  98
    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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  2. Category Theory and the Foundations of Mathematics: Philosophical Excavations.Jean-Pierre Marquis - 1995 - Synthese 103 (3):421 - 447.
    The aim of this paper is to clarify the role of category theory in the foundations of mathematics. There is a good deal of confusion surrounding this issue. A standard philosophical strategy in the face of a situation of this kind is to draw various distinctions and in this way show that the confusion rests on divergent conceptions of what the foundations of mathematics ought to be. This is the strategy adopted in the present paper. It is divided into 5 (...)
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  3.  35
    Categories, Sets and the Nature of Mathematical Entities.Jean-Pierre Marquis - 2006 - In Johan van Benthem, Gerhard Heinzman, M. Rebushi & H. Visser (eds.), The Age of Alternative Logics. Springer. pp. 181--192.
  4.  60
    Mathematical Forms and Forms of Mathematics: Leaving the Shores of Extensional Mathematics.Jean-Pierre Marquis - 2013 - Synthese 190 (12):2141-2164.
    In this paper, I introduce the idea that some important parts of contemporary pure mathematics are moving away from what I call the extensional point of view. More specifically, these fields are based on criteria of identity that are not extensional. After presenting a few cases, I concentrate on homotopy theory where the situation is particularly clear. Moreover, homotopy types are arguably fundamental entities of geometry, thus of a large portion of mathematics, and potentially to all mathematics, at least according (...)
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  5.  13
    Categorical Foundations of Mathematics or How to Provide Foundations for Abstract Mathematics.Jean-Pierre Marquis - 2013 - Review of Symbolic Logic 6 (1):51-75.
    Fefermans argument is indeed convincing in a certain context, it can be dissolved entirely by modifying the context appropriately.
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  6. A Path to the Epistemology of Mathematics: Homotopy Theory.Jean-Pierre Marquis - 2006 - In Jeremy Gray & Jose Ferreiros (eds.), Architecture of Modern Mathematics. Oxford University Press. pp. 239--260.
  7.  22
    From a Geometrical Point of View: A Study in the History and Philosophy of Category Theory.Jean-Pierre Marquis - 2009 - Springer.
    A Study of the History and Philosophy of Category Theory Jean-Pierre Marquis. to say that objects are dispensable in geometry. What is claimed is that the specific nature of the objects used is irrelevant. To use the terminology already ...
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  8.  63
    Category Theory.Jean-Pierre Marquis - 2008 - Stanford Encyclopedia of Philosophy.
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  9.  23
    Abstract Mathematical Tools and Machines for Mathematics.Jean-pierre Marquis - 1997 - Philosophia Mathematica 5 (3):250-272.
    In this paper, we try to establish that some mathematical theories, like K-theory, homology, cohomology, homotopy theories, spectral sequences, modern Galois theory (in its various applications), representation theory and character theory, etc., should be thought of as (abstract) machines in the same way that there are (concrete) machines in the natural sciences. If this is correct, then many epistemological and ontological issues in the philosophy of mathematics are seen in a different light. We concentrate on one problem which immediately follows (...)
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  10. Special-Issue Book Review.Jean-pierre Marquis - 1996 - Philosophia Mathematica 4 (2):202-205.
  11.  32
    The Palmer House Hilton Hotel, Chicago, Illinois February 18–20, 2010.Kenneth Easwaran, Philip Ehrlich, David Ross, Christopher Hitchcock, Peter Spirtes, Roy T. Cook, Jean-Pierre Marquis, Stewart Shapiro & Royt Cook - 2010 - Bulletin of Symbolic Logic 16 (3).
  12.  75
    Mathematical Conceptware: Category Theory: R Alf K R Ö Mer . Tool and Object: A History and Philosophy of Category Theory.Jean-Pierre Marquis - 2010 - Philosophia Mathematica 18 (2):235-246.
    (No abstract is available for this citation).
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  13.  22
    Approximations and Truth Spaces.Jean-Pierre Marquis - 1991 - Journal of Philosophical Logic 20 (4):375 - 401.
    Approximations form an essential part of scientific activity and they come in different forms: conceptual approximations (simplifications in models), mathematical approximations of various types (e.g. linear equations instead of non-linear ones, computational approximations), experimental approximations due to limitations of the instruments and so on and so forth. In this paper, we will consider one type of approximation, namely numerical approximations involved in the comparison of two results, be they experimental or theoretical. Our goal is to lay down the conceptual and (...)
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  14.  44
    Categorical Foundations of Mathematics.Jean-Pierre Marquis - 2012 - Review of Symbolic Logic.
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  15.  52
    John L. BELL. The Continuous and the Infinitesimal in Mathematics and Philosophy. Monza: Polimetrica, 2005. Pp. 349. ISBN 88-7699-015-. [REVIEW]Jean-Pierre Marquis - 2006 - Philosophia Mathematica 14 (3):394-400.
    Some concepts that are now part and parcel of mathematics used to be, at least until the beginning of the twentieth century, a central preoccupation of mathematicians and philosophers. The concept of continuity, or the continuous, is one of them. Nowadays, many philosophers of mathematics take it for granted that mathematicians of the last quarter of the nineteenth century found an adequate conceptual analysis of the continuous in terms of limits and that serious philosophical thinking is no longer required, except (...)
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  16.  21
    Mario Bunge's Philosophy of Mathematics: An Appraisal. [REVIEW]Jean-Pierre Marquis - 2011 - Science and Education 21 (10):1567-1594.
    In this paper, I present and discuss critically the main elements of Mario Bunge’s philosophy of mathematics. In particular, I explore how mathematical knowledge is accounted for in Bunge’s systemic emergent materialism.To Mario, with gratitude.
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  17.  21
    A Subject with No Object. [REVIEW]Jean-Pierre Marquis - 2000 - Canadian Journal of Philosophy 30 (1):161-178.
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  18.  29
    Mathematical Engineering and Mathematical Change.Jean-Pierre Marquis - 1999 - International Studies in the Philosophy of Science 13 (3):245 – 259.
    In this paper, I introduce and examine the notion of “mathematical engineering” and its impact on mathematical change. Mathematical engineering is an important part of contemporary mathematics and it roughly consists of the “construction” and development of various machines, probes and instruments used in numerous mathematical fields. As an example of such constructions, I briefly present the basic steps and properties of homology theory. I then try to show that this aspect of contemporary mathematics has important consequences on our conception (...)
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  19.  12
    Menger and Nöbeling on Pointless Topology.Mathieu Bélanger & Jean-Pierre Marquis - 2013 - Logic and Logical Philosophy 22 (2):145-165.
    This paper looks at how the idea of pointless topology itself evolved during its pre-localic phase by analyzing the definitions of the concept of topological space of Menger and Nöbeling. Menger put forward a topology of lumps in order to generalize the definition of the real line. As to Nöbeling, he developed an abstract theory of posets so that a topological space becomes a particular case of topological poset. The analysis emphasizes two points. First, Menger's geometrical perspective was superseded by (...)
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  20.  20
    Book Review: Colin McLarty. Elementary Categories, Elementary Toposes. [REVIEW]Jean-Pierre Marquis - 1998 - Notre Dame Journal of Formal Logic 39 (3):436-445.
  21.  17
    On the Justification of Mathematical Intuitionism.Jean-Pierre Marquis - 1985 - Dissertation, Université de Montréal
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  22.  7
    Albert Lautman, philosophe des mathématiques.Jean-Pierre Marquis - 2010 - Philosophiques 37 (1):3-7.
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  23.  1
    Vie et logique d’Alfred Tarski.Jean-Pierre Marquis & Marie Martel - 2006 - Dialogue: Canadian Philosophical Review / Revue canadienne de philosophie 45 (2):367-374.
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  24.  16
    J. J. Katz, Realistic Rationalism. [REVIEW]Jean-Pierre Marquis - 2000 - Erkenntnis 52 (3):419-423.
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  25.  2
    Critical Notice.Jean-Pierre Marquis - 2000 - Canadian Journal of Philosophy 30 (1):161-178.
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  26.  11
    Approximations and Logic.Jean-Pierre Marquis - 1992 - Notre Dame Journal of Formal Logic 33 (2):184-196.
  27.  5
    The Palmer House Hilton Hotel, Chicago, Illinois April 19–21, 2007.Yiannis Moschovakis, Richmond H. Thomason, Steffen Lempp, Steve Awodey, Jean-Pierre Marquis & William Tait - 2007 - Bulletin of Symbolic Logic 13 (4).
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  28.  4
    Category Theory and Structuralism in Mathematics: Syntactical Considerations.Jean-Pierre Marquis - 1997 - In Evandro Agazzi & György Darvas (eds.), Philosophy of Mathematics Today. Kluwer Academic Publishers. pp. 123--136.
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  29.  2
    Tool and Object. [REVIEW]Jean-Pierre Marquis - 2009 - Bulletin of Symbolic Logic 15 (3):320-321.
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  30. Angèle Kremer-Marietti, La philosophie cognitive, Paris, PUF (coll. « Que sais-je ? » no 2817), 1994, 128 p.Angèle Kremer-Marietti, La philosophie cognitive, Paris, PUF (coll. « Que sais-je ? » no 2817), 1994, 128 p. [REVIEW]Jean-Pierre Marquis - 1996 - Philosophiques 23 (2):461-464.
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  31. Angèle Kremer-Marietti, La philosophie cognitive, Paris, PUF , 1994, 128 p.Jean-Pierre Marquis - 1996 - Philosophiques 23:461-464.
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  32. Mathematical Conceptware: Category Theory: Critical Studies/Book Reviews.Jean-Pierre Marquis - 2010 - Philosophia Mathematica 18 (2):235-246.
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  33. On Tobar-Arbulu's "Quarter Truths".Jean-Pierre Marquis - 1988 - Epistemologia 11 (1):139.
     
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  34. Towards a Theory of Partial Truth.Jean-Pierre Marquis - 1988 - Dissertation, Mcgill University (Canada)
    The nature of truth has occupied philosophers since the very beginning of the field. Our goal is to clarify the notion of scientific truth, in particular the notion of partial truth of facts. Our strategy consists to brake the problem into smaller, more manageable, questions. Thus, we distinguish the truth of a scientific theory, what we call the "global" truth value of a theory, from the truth of a particular scientific proposition, what we call the "local" truth values of a (...)
     
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  35. The History of Categorical Logic: 1963-1977.Jean-Pierre Marquis & Gonzalo Reyes - 2011 - In Dov Gabbay, Akihiro Kanamori & John Woods (eds.), Handbook of the history of logic. Elsevier.
  36. Vie et logique d’Alfred Tarski.Jean-Pierre Marquis & Marie Martel - 2006 - Dialogue 45 (2):367-374.
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  37. A Note on Forrester’s Paradox.Clayton Peterson & Jean-Pierre Marquis - 2012 - Polish Journal of Philosophy 6 (2):53-70.
    In this paper, we argue that Forrester’s paradox, as he presents it, is not a paradox of standard deontic logic. We show that the paradox fails since it is the result of a misuse of , a derived rule in the standard systems. Before presenting Forrester’s argument against standard deontic logic, we will briefly expose the principal characteristics of a standard system Δ. The modal system KD will be taken as a representative. We will then make some remarks regarding , (...)
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