Results for 'Marquis William Childs'

961 found
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  1. Meaning, Use, and Supervenience.William Child - 2019 - In James Conant & Sebastian Sunday (eds.), Wittgenstein on Philosophy, Objectivity, and Meaning. New York: Cambridge University Press. pp. 211-230.
    What is the relation between meaning and use? This chapter first defends a non-reductionist understanding of Wittgenstein’s suggestion that ‘the meaning of a word is its use in the language’; facts about meaning cannot be reduced to, or explained in terms of, facts about use, characterized non-semantically. Nonetheless, it is contended, facts about meaning do supervene on non-semantic facts about use. That supervenience thesis is suggested by comments of Wittgenstein’s and is consistent with his view of meaning and rule-following. Semantic (...)
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  2. Wittgenstein, Seeing-As, and Novelty.William Child - 2015 - In Michael Beaney, Brendan Harrington & Dominic Shaw (eds.), Aspect Perception After Wittgenstein: Seeing-as and Novelty. New York: Routledge. pp. 29-48.
    It is natural to say that when we acquire a new concept or concepts, or grasp a new theory, or master a new practice, we come to see things in a new way: we perceive phenomena that we were not previously aware of; we come to see patterns or connections that we did not previously see. That natural idea has been applied in many areas, including the philosophy of science, the philosophy of religion, and the philosophy of language. And, in (...)
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  3. “‘We Can Go No Further’: Meaning, Use, and the Limits of Language”.William Child - 2019 - In Hanne Appelqvist (ed.), Wittgenstein and the Limits of Language. New York: Routledge. pp. 93-114.
    A central theme in Wittgenstein’s post-Tractatus remarks on the limits of language is that we ‘cannot use language to get outside language’. One illustration of that idea is his comment that, once we have described the procedure of teaching and learning a rule, we have ‘said everything that can be said about acting correctly according to the rule’; ‘we can go no further’. That, it is argued, is an expression of anti-reductionism about meaning and rules. A framework is presented for (...)
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  4. Economics, Agency, and Causal Explanation.William Child - 2019 - In Peter Róna & László Zsolnai (eds.), Agency and Causal Explanation in Economics. Springer Verlag. pp. 53-67.
    The paper considers three questions. First, what is the connection between economics and agency? It is argued that causation and explanation in economics fundamentally depend on agency. So a philosophical understanding of economic explanation must be sensitive to an understanding of agency. Second, what is the connection between agency and causation? A causal view of agency-involving explanation is defended against a number of arguments from the resurgent noncausalist tradition in the literature on agency and action-explanation. If agency is fundamental to (...)
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  5. Sensations, Natural Properties, and the Private Language Argument.William Child - 2017 - In Kevin M. Cahill & Thomas Raleigh (eds.), Wittgenstein and Naturalism. New York: Routledge. pp. 79-95.
    Wittgenstein’s philosophy involves a general anti-platonism about properties or standards of similarity. On his view, what it is for one thing to have the same property as another is not dictated by reality itself; it depends on our classificatory practices and the standards of similarity they embody. Wittgenstein’s anti-platonism plays an important role in the private language sections and in his discussion of the conceptual problem of other minds. In sharp contrast to Wittgenstein’s views stands the contemporary doctrine of natural (...)
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  6. Wittgenstein, Scientism, and Anti-Scientism in the Philosophy of Mind.William Child - 2014 - In Jonathan Beale & Ian James Kidd (eds.), Wittgenstein and Scientism. London: Routledge. pp. 81-100.
    Part 1 of this paper sketches Wittgenstein’s opposition to scientism in general. Part 2 explores his opposition to scientism in philosophy focusing, in particular, on philosophy of mind; how must philosophy of mind proceed if it is to avoid the kind of scientism that Wittgenstein complains about? Part 3 examines a central anti-scientistic strand in Wittgenstein’s Last Writings on the Philosophy of Psychology volume II: his treatment of the ‘uncertainty’ of the relation between ‘outer’ behaviour and ‘inner’ experiences and mental (...)
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  7. 'Two Kinds of Use of "I"': The Middle Wittgenstein on 'I' and The Self.William Child - 2018 - In David G. Stern (ed.), Wittgenstein in the 1930s: Between the Tractatus and the Investigations. New York, NY: Cambridge University Press. pp. 141-157.
    The paper discusses two aspects of Wittgenstein’s middle-period discussions of the self and the use of ‘I’. First, it considers the distinction Wittgenstein draws in his 1933 Cambridge lectures between two ‘utterly different’ uses of the word ‘I’. It is shown that Wittgenstein’s discussion describes a number of different and non-equivalent distinctions between uses of ‘I’. It is argued that his claims about some of these distinctions are defensible but that his reasoning in other cases is unconvincing. Second, the paper (...)
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  8. Does the Tractatus Contain a Private Language Argument?William Child - 2013 - In Peter Sullivan & Michael Potter (eds.), Wittgenstein's Tractatus: history and interpretation. Oxford: Oxford University Press. pp. 143-169.
    Cora Diamond has claimed that Wittgenstein’s Tractatus contains an early ‘private language argument’: an argument that private objects in other people’s minds can play no role in the language I use for talking about their sensations. She further claims that the Tractatus contains an early version of the later idea that an inner process stands in need of outward criteria. The paper argues against these claims, on the grounds that they depend on an unwarranted construal of the Tractatus’s notion of (...)
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  9. (1 other version)Child Soldiers, Executive Functions, and Culpability.Tyler Fagan, William Hirstein & Katrina Sifferd - 2016 - International Criminal Law Review 16 (2):258-286.
    Child soldiers, who often appear to be both victims and perpetrators, present a vexing moral and legal challenge: how can we protect the rights of children while seeking justice for the victims of war crimes? There has been little stomach, either in domestic or international courts, for prosecuting child soldiers—but neither has this challenge been systematically addressed in international law. Establishing a uniform minimum age of criminal responsibility would be a major step in the right direction; we argue that such (...)
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  10. (3 other versions)A Soteriology of Reading: Cavell's Excerpts from Memory.William Day - 2011 - In James Loxley & Andrew Taylor (eds.), Stanley Cavell: Philosophy, Literature and Criticism. Manchester University Press. pp. 76-91.
    "William Day is . . . concerned to explore the dynamics of what Cavell calls 'a theology of reading' through a careful examination of a fragment of the philosopher's autobiography first published as 'Excerpts from Memory' (2006) and subsequently revised for Little Did I Know (2010). If, as Cavell suggests, 'the underlying subject' of both criticism and philosophy is 'the subject of examples', in which our interest lies in their emblematic aptness or richness as exemplars, exemplarity becomes central to (...)
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  11. What is Desirable About Having a Child with a Romantic Partner?Marcus William Hunt - 2021 - Philosophical Papers 50 (2):187-210.
    Most people desire to have a romantic relationship, and most people desire to have a child. The paper suggests one respect in which it is more desirable to have a child with a romantic partner rather than with someone other than a romantic partner, as platonic parents do. The first premise claims that the romantic relationship, and only this relationship, has a certain desire as a constitutive part. This is the desire to be as related to someone as one can (...)
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  12. The ethics of placebo-controlled trials in developing countries to prevent mother-to-child transmission of HIV.John N. Williams - 2000 - Annals, Academy of Medicine, Singapore 29 (5):557-562.
    Placebo-trials on HIV-infected pregnant women in developing countries like Thailand and Uganda have provoked recent controversy. Such experiments aim to find a treatment that will cut the rate of vertical transmission more efficiently than existing treatments like zidovudine. This scenario is first stated as generally as possible, before three ethical principles found in the Belmont Report, itself a sharpening of the Helsinki Declaration, are stated. These three principles are the Principle of Utility, the Principle of Autonomy and the Principle of (...)
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  13. Wanting to Say Something: Aspect-Blindness and Language.William Day - 2010 - In William Day & Víctor J. Krebs (eds.), Seeing Wittgenstein Anew. Cambridge University Press.
    "Lest one think that the focus on aspect-seeing in Wittgenstein is only a means to more contemporary philosophical ends, one ought to read Day’s remarkable 'Wanting to Say Something: Aspect-Blindness and Language'. Day considers the issue of aspect-blindness, arguing that universal aspect-blindness is impossible for beings with language. Specifically, he shows that a child’s first attempt at language, at trying “bloh” for “ball,” is neither an indication that the child sees the ball for the first time, nor an indication that (...)
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  14. A defence of parental compromise concerning veganism.Marcus William Hunt - 2021 - Ethics and Education 16 (3):392-405.
    Co-parents who differ in their ideal child rearing policies should compromise, argues Marcus William Hunt. Josh Milburn and Carlo Alvaro dispute this when it comes to veganism. Milburn argues that veganism is a matter of justice and that to compromise over justice is (typically) impermissible. I suggest that compromise over justice is often permissible, and that compromise over justice may be required by justice itself. Alvaro offers aesthetic, gustatory, and virtue-based arguments for ethical veganism, showing that veganism involves sensibilities (...)
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  15. Veganism and Children: Physical and Social Well-Being.Marcus William Hunt - 2019 - Journal of Agricultural and Environmental Ethics 32 (2):269-291.
    I claim that there is pro tanto moral reason for parents to not raise their child on a vegan diet because a vegan diet bears a risk of harm to both the physical and the social well-being of children. After giving the empirical evidence from nutrition science and sociology that supports this claim, I turn to the question of how vegan parents should take this moral reason into account. Since many different moral frameworks have been used to argue for veganism, (...)
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  16. True Belief Belies False Belief: Recent Findings of Competence in Infants and Limitations in 5-Year-Olds, and Implications for Theory of Mind Development.Joseph A. Hedger & William V. Fabricius - 2011 - Review of Philosophy and Psychology 2 (3):429-447.
    False belief tasks have enjoyed a monopoly in the research on children’s development of a theory of mind. They have been granted this status because they promise to deliver an unambiguous assessment of children’s understanding of the representational nature of mental states. Their poor cousins, true belief tasks, have been relegated to occasional service as control tasks. That this is their only role has been due to the universal assumption that correct answers on true belief tasks are inherently ambiguous regarding (...)
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  17. Person-Creating and Filial Piety.Marcus William Hunt - 2023 - Journal of Value Inquiry:1-24.
    This paper offers a theory of filial piety on which piety is the ethical virtue that responds to the action of person-creating. Piety is the virtue of a creature qua creature. I begin by identifying the action of person-creating as the action of a parent. I then offer some points from the philosophy of action to delineate the action of person-creating. Next, I explain the metaphysical states that this action gives rise to and their value. Parent and child fall in (...)
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  18. Bioethics and large-scale biobanking: individualistic ethics and collective projects.Garrath Williams - 2005 - Genomics, Society and Policy 1 (2):1-17.
    Like most bioethical discussion, examination of human biobanks has been largely framed in terms of research subjects’ rights, principally informed consent, with some gestures toward public benefits. However, informed consent is for the competent, rights-bearing individual: focussing on the individual, it thus neglects social, economic and even political matters; focussing on the competent rights-bearer, it does not serve situations where consent is plainly inappropriate (eg, the young child) or where coercion can obviously be justified (the criminal). Using the British experience (...)
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  19. Parental Compromise.Marcus William Hunt - 2022 - Critical Review of International Social and Political Philosophy 25 (2):260-280.
    I examine how co-parents should handle differing commitments about how to raise their child. Via thought experiment and the examination of our practices and affective reactions, I argue for a thesis about the locus of parental authority: that parental authority is invested in full in each individual parent, meaning that that the command of one parent is sufficient to bind the child to act in obedience. If this full-authority thesis is true, then for co-parents to command different things would be (...)
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  20. Somatic Cell Therapy: A Genetic Rescue for a Tattered Immune System?Bryn Williams-Jones - 2012 - BioéthiqueOnline 1:4.
    The case of Andrew Gobea, the first child to receive experimental gene therapy for SCID, and a reflection on the associated ethical implications of gene therapy research.
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  21. The Problem Of Evil: A Case Against The Omnipotence And The Goodness Of God.Emmanuel Williams Udoh - 2017 - Leajon: An Academic Journal of Interdisciplinary Studies 8 (2).
    Evil is the opposite of good. This phenomenon has unleashed serious threat to human existence. The problem is that it is difficult to understand and even to deal with. Evil is a subject that hasdefied solution politically, socially or religiously. This paper examined the issue of the origin,effect and ways of dealing with evil for a better society. The research adopted the historical andliterary methods of research. Various views are examined. Findings affirmed that God createdevil as well as good. However, (...)
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  22. Why Parent Together?Marcus William Hunt - 2023 - European Journal of Analytic Philosophy 19 (2):1-25.
    The paper offers an account of co-parenthood according to which co-parents are parent and child to one another. The paper begins by reviewing extant theories of the value of being a parent, to see whether the value of co-parenthood is reducible to this. Finding that it is not, I briefly elaborate a theory of parenthood on which parents are those who create persons. Using Aristotle’s four causes as a helpful prism, I outline how parents are the cause of their child, (...)
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  23. Davidson on Self‐Knowledge: A Transcendental Explanation.Ali Hossein Khani - 2021 - Southern Journal of Philosophy 59 (2):153-184.
    Davidson has attempted to offer his own solution to the problem of self-knowledge, but there has been no consensus between his commentators on what this solution is. Many have claimed that Davidson’s account stems from his remarks on disquotational specifications of self-ascriptions of meaning and mental content, the account which I will call the “Disquotational Explanation”. It has also been claimed that Davidson’s account rather rests on his version of content externalism, which I will call the “Externalist Explanation”. I will (...)
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  24. Il rincrescimento dell'agente di Bernard Williams: un confronto con la colpa, il rimorso e altre forme di rincrescimento.Simone Gasparoni - 2023 - Thaumàzein 11 (2):217-247.
    This essay explores Bernard Williams’ notion of agent-regret, comparing it with guilt, remorse, and other forms of regret. I first highlight some features of the intentional structure of guilt (also in relation to shame) and remorse, and then proceed to the analysis of regret. I discuss several examples of regret, including Williams’ discussion of the truck driver who accidentally runs over a child. In agreement with Williams, I argue that agent-regret has a moral significance not captured by either guilt or (...)
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  25. The Best With What We Have: A Threefold Metaphysics of Perception.Andrea Bucci - 2018 - Brainfactor:1-11.
    In this paper I will try to outline a Metaphysics of Perception that takes for granted one of the central thesis of the metaphysical doctrine called Indirect Realism. Firstly, I will introduce the central thesis of Indirect Realism and then a special version of the Causal Theory of Perception that modifies in some fundamental respect one of the most influential version of Causal Theory of Perception designed by William Child.
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  26. Vegan parents and children: zero parental compromise.Carlo Alvaro - 2020 - Ethics and Education 15 (4):476-498.
    Marcus William Hunt argues that when co-parents disagree over whether to raise their child (or children) as a vegan, they should reach a compromise as a gift given by one parent to the other out of respect for his or her authority. Josh Millburn contends that Hunt’s proposal of parental compromise over veganism is unacceptable on the ground that it overlooks respect for animal rights, which bars compromising. However, he contemplates the possibility of parental compromise over ‘unusual eating,’ of (...)
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  27. Liberty, Authority, and Trust in Burke's Idea of Empire.Richard Bourke - 2000 - Journal of the History of Ideas 61 (3):453-471.
    In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Ideas 61.3 (2000) 453-471 [Access article in PDF] Liberty, Authority, and Trust in Burke's Idea of Empire Richard Bourke When Edmund Burke first embarked upon a parliamentary career, British political life was in the process of adapting to a series of critical reorientations in both the dynamics of party affiliation and the direction of imperial policy. During the period of the Seven Years' War, (...)
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  28. BELLE- LORD MANSFIELD'S GREAT-NIECE.Sally Ramage - forthcoming - Criminal Law News (85).
    This is the review of a book by Paula Byrne on Lord Mansfield's great-niece, Dido, whom he raised as his own daughter. Lord Mansfield was the Lord Chief Justice of England in the Eighteenth Century. The child was brought to him as an infant and grew up to become what we would today term his paralegal clerk in his Library at Kenwood House. His great-niece was the child of a black slave and his sister's son, Sir John Lindsay. This is (...)
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  29. Fanaticism and the History of Philosophy.Paul Katsafanas (ed.) - 2023 - London: Rewriting the History of Philosophy.
    Voltaire called fanaticism the "monster that pretends to be the child of religion". Philosophers, politicians, and cultural critics have decried fanaticism and attempted to define the distinctive qualities of the fanatic, whom Winston Churchill described as "someone who can't change his mind and won't change the subject". Yet despite fanaticism's role in the long history of social discord, human conflict, and political violence, it remains a relatively neglected topic in the history of philosophy. In this outstanding inquiry into the philosophical (...)
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  30. DR. [REVIEW]Sally Ramage - 2015 - Current Criminal Law 7 (4):1-14.
    Dido Belle was the illegitimate daughter of Captain Lindsay, the aristocratic nephew of William Murray, Scottish by birth and Lord Chief Justice of England for many decades. The book tells the story of Dido's life in Lord Mansfield homes, from the time her father begged Lord and Lady Mansfield to be wards of the child Dido to the death at age 88 of Lord Mansfield, mainly cared for by Dido and to Dido's young death at age 43. It also (...)
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  31. An Historical Perspective on Duality and Category Theory: Hom is where the Heart is.Jean-Pierre Marquis - 2024 - In Ralf Krömer & Emmylou Haffner (eds.), Duality in 19th and 20th Century Mathematical Thinking. Basel: Birkhäuser. pp. 759-862.
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  32. Cleopatra – a Queen, a Lover, a Mother: Transformations of the Image.Lidia Wiśniewska - 2012 - Argument: Biannual Philosophical Journal 2 (1):151-170.
    Transformations are not only conditioned by facts encompassing narrower or wider panoramas: from concentrating on death and one (political) role (the ode of Horace), through recalling Cleopatra’s mature life and love (the drama of Shakespeare), to creating an image embracing the heroine’s whole life with its numerous roles, but as a mother and a daughter in the first place, because even her lovers resemble a father and a child (the fictional biography of Karen Essex). Above all, they appear to be (...)
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  33. 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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  34. 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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  35. 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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  36. 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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  37. Abortion Revisited.Don Marquis - 2007 - In Bonnie Steinbock (ed.), The Oxford handbook of bioethics. New York: Oxford University Press.
    The three major classical accounts of the morality of abortion are all subject to at least one major problem. Can we do better? This article aims to discuss three accounts that purport to be superior to the classical accounts. First, it discusses the future of value argument for the immorality of abortion. It defends the claim that the future of value argument is superior to all three of the classical accounts. It then goes on to discuss Warren's attempt to fix (...)
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  38. Vérité partielle et réalisme scientifique: une approche bungéenne.Jean-Pierre Marquis - 2020 - Mεtascience: Discours Général Scientifique 1:293-314.
    Le réalisme scientifique occupe une place centrale dans le système philosophique de Mario Bunge. Au cœur de cette thèse, on trouve l’affirmation selon laquelle nous pouvons connaître le monde partiellement. Il s’ensuit que les théories scientifiques ne sont pas totalement vraies ou totalement fausses, mais plutôt partiellement vraies et partiellement fausses. Ces énoncés sur la connaissance scientifique, à première vue plausible pour quiconque est familier avec la pratique scientifique, demandent néanmoins à être clarifiés, précisés et, ultimement, à être inclus dans (...)
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  39. Abstract logical structuralism.Jean-Pierre Marquis - 2020 - Philosophical Problems in Science 69:67-110.
    Structuralism has recently moved center stage in philosophy of mathematics. One of the issues discussed is the underlying logic of mathematical structuralism. In this paper, I want to look at the dual question, namely the underlying structures of logic. Indeed, from a mathematical structuralist standpoint, it makes perfect sense to try to identify the abstract structures underlying logic. We claim that one answer to this question is provided by categorical logic. In fact, we claim that the latter can be seen—and (...)
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  40. A path to the epistemology of mathematics: homotopy theory.Jean-Pierre Marquis - 2006 - In José Ferreirós Domínguez & Jeremy Gray (eds.), The Architecture of Modern Mathematics: Essays in History and Philosophy. Oxford, England: Oxford University Press. pp. 239--260.
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  41. 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: Assessing Philosophy of Logic and Mathematics Today. Dordrecht, Netherland: Springer. pp. 181--192.
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  42. Stairway to Heaven: the abstract method and levels of abstraction in mathematics.Jean Pierre Marquis & Jean-Pierre Marquis - 2016 - The Mathematical Intelligencer 38 (3):41-51.
    In this paper, following the claims made by various mathematicians, I try to construct a theory of levels of abstraction. I first try to clarify the basic components of the abstract method as it developed in the first quarter of the 20th century. I then submit an explication of the notion of levels of abstraction. In the final section, I briefly explore some of main philosophical consequences of the theory.
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  43. The Structuralist Mathematical Style: Bourbaki as a case study.Jean-Pierre Marquis - 2022 - In Claudio Ternullo Gianluigi Oliveri (ed.), Boston Studies in the Philosophy and the History of Science. pp. 199-231.
    In this paper, we look at Bourbaki’s work as a case study for the notion of mathematical style. We argue that indeed Bourbaki exemplifies a mathematical style, namely the structuralist style.
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  44. Mathematical Abstraction, Conceptual Variation and Identity.Jean-Pierre Marquis - 2014 - In Peter Schroeder-Heister, Gerhard Heinzmann, Wilfred Hodges & Pierre Edouard Bour (eds.), Logic, Methodology and Philosophy of Science, Proceedings of the 14th International Congress. London, UK: pp. 299-322.
    One of the key features of modern mathematics is the adoption of the abstract method. Our goal in this paper is to propose an explication of that method that is rooted in the history of the subject.
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  45. Unfolding FOLDS: A Foundational Framework for Abstract Mathematical Concepts.Jean-Pierre Marquis - 2018 - In Landry Elaine (ed.), Category for the Working Philosophers. Oxford University Press. pp. 136-162.
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  46. Forms of Structuralism: Bourbaki and the Philosophers.Jean-Pierre Marquis - 2020 - Structures Meres, Semantics, Mathematics, and Cognitive Science.
    In this paper, we argue that, contrary to the view held by most philosophers of mathematics, Bourbaki’s technical conception of mathematical structuralism is relevant to philosophy of mathematics. In fact, we believe that Bourbaki has captured the core of any mathematical structuralism.
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  47. The History of Categorical Logic: 1963-1977.Jean-Pierre Marquis & Gonzalo Reyes - 2004 - In Dov M. Gabbay, John Woods & Akihiro Kanamori (eds.), Handbook of the history of logic. Boston: Elsevier.
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  48. Canonical Maps.Jean-Pierre Marquis - 2017 - In Elaine M. Landry (ed.), Categories for the Working Philosopher. Oxford, England: Oxford University Press. pp. 90-112.
    Categorical foundations and set-theoretical foundations are sometimes presented as alternative foundational schemes. So far, the literature has mostly focused on the weaknesses of the categorical foundations. We want here to concentrate on what we take to be one of its strengths: the explicit identification of so-called canonical maps and their role in mathematics. Canonical maps play a central role in contemporary mathematics and although some are easily defined by set-theoretical tools, they all appear systematically in a categorical framework. The key (...)
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  49. Bunge’s Mathematical Structuralism Is Not a Fiction.Jean-Pierre Marquis - 2019 - In Michael Robert Matthews (ed.), Mario Bunge: A Centenary Festschrift. Springer. pp. 587-608.
    In this paper, I explore Bunge’s fictionism in philosophy of mathematics. After an overview of Bunge’s views, in particular his mathematical structuralism, I argue that the comparison between mathematical objects and fictions ultimately fails. I then sketch a different ontology for mathematics, based on Thomasson’s metaphysical work. I conclude that mathematics deserves its own ontology, and that, in the end, much work remains to be done to clarify the various forms of dependence that are involved in mathematical knowledge, in particular (...)
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  50. Mathematical Models of Abstract Systems: Knowing abstract geometric forms.Jean-Pierre Marquis - 2013 - Annales de la Faculté des Sciences de Toulouse 22 (5):969-1016.
    Scientists use models to know the world. It i susually assumed that mathematicians doing pure mathematics do not. Mathematicians doing pure mathematics prove theorems about mathematical entities like sets, numbers, geometric figures, spaces, etc., they compute various functions and solve equations. In this paper, I want to exhibit models build by mathematicians to study the fundamental components of spaces and, more generally, of mathematical forms. I focus on one area of mathematics where models occupy a central role, namely homotopy theory. (...)
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