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  1.  65
    Nominalistic Content, Grounding, and Covering Generalizations: Reply to ‘Grounding and the Indispensability Argument’.Matteo Plebani - 2016 - Synthese 193 (2):549-558.
    ‘Grounding and the indispensability argument’ presents a number of ways in which nominalists can use the notion of grounding to rebut the indispensability argument for the existence of mathematical objects. I will begin by considering the strategy that puts grounding to the service of easy-road nominalists. I will give some support to this strategy by addressing a worry some may have about it. I will then consider a problem for the fast-lane strategy and a problem for easy-road nominalists willing to (...)
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  2. Ontology and Metaontology. A Contemporary Guide.Francesco Berto & Matteo Plebani - 2015 - Bloomsbury Academic.
    'Ontology and Metaontology: A Contemporary Guide' is a clear and accessible survey of ontology, focussing on the most recent trends in the discipline. -/- Divided into parts, the first half characterizes metaontology: the discourse on the methodology of ontological inquiry, covering the main concepts, tools, and methods of the discipline, exploring the notions of being and existence, ontological commitment, paraphrase strategies, fictionalist strategies, and other metaontological questions. The second half considers a series of case studies, introducing and familiarizing the reader (...)
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  3.  11
    The Indispensability Argument and the Nature of Mathematical Objects.Matteo Plebani - 2018 - Theoria : An International Journal for Theory, History and Fundations of Science 33 (2):249-263.
    I will contrast two conceptions of the nature of mathematical objects: the conception of mathematical objects as preconceived objects, and heavy duty platonism. I will argue that friends of the indispensability argument are committed to some metaphysical theses and that one promising way to motivate such theses is to adopt heavy duty platonism. On the other hand, combining the indispensability argument with the conception of mathematical objects as preconceived objects yields an unstable position. The conclusion is that the metaphysical commitments (...)
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  4.  40
    Fictionalism Versus Deflationism: A New Look.Matteo Plebani - 2018 - Philosophical Studies 175 (2):301-316.
    In the recent literature there has been some debate between advocates of deflationist and fictionalist positions in metaontology. The purpose of this paper is to advance the debate by reconsidering one objection presented by Amie Thomasson against fictionalist strategies in metaontology. The objection can be reconstructed in the following way. Fictionalists need to distinguish between the literal and the real content of sentences belonging to certain areas of discourse. In order to make that distinction, they need to assign different truth-conditions (...)
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  5.  48
    Non‐Factualism Versus Nominalism.Matteo Plebani - 2017 - Pacific Philosophical Quarterly 98 (3).
    The platonism/nominalism debate in the philosophy of mathematics concerns the question whether numbers and other mathematical objects exist. Platonists believe the answer to be in the positive, nominalists in the negative. According to non-factualists, the question is ‘moot’, in the sense that it lacks a correct answer. Elaborating on ideas from Stephen Yablo, this article articulates a non-factualist position in the philosophy of mathematics and shows how the case for non-factualism entails that standard arguments for rival positions fail. In particular, (...)
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  6.  24
    Mathematical Platonism Meets Ontological Pluralism?Matteo Plebani - 2017 - Inquiry: An Interdisciplinary Journal of Philosophy:1-19.
    Mathematical platonism is the view that abstract mathematical objects exist. Ontological pluralism is the view that there are many modes of existence. This paper examines the prospects for plural platonism, the view that results from combining mathematical platonism and ontological pluralism. I will argue that some forms of platonism are in harmony with ontological pluralism, while other forms of platonism are in tension with it. This shows that there are some interesting connections between the platonism–antiplatonism dispute and recent debates over (...)
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  7.  3
    If-Thenism, Arithmetic and Remainders.Matteo Plebani - 2017 - Australasian Philosophical Review 1 (2):196-201.
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  8.  36
    Imagine There's No (Platonic) Heaven.Matteo Plebani - 2015 - Think 14 (39):73-75.
    Some people think that numbers and other mathematical entities exist. They believe in a platonic heaven of ideal mathematical objects, as some people like to put it. This may seem a very strange thing to believe in: after all, we cannot see numbers, nor touch them, nor smell them. So why should one believe that they exist? Because, as Putnam and Quine used to say, numbers are indispensable to science: it seems almost impossible to state our best scientific theories without (...)
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  9.  29
    Could Everything Be True? Probably Not.Matteo Plebani - 2015 - Philosophia 43 (2):499-504.
    Trivialism is the doctrine that everything is true. Almost nobody believes it, but, as Priest shows, finding a non-question-begging argument against it turns out to be a difficult task. In this paper, I propose a statistical argument against trivialism, developing a strategy different from those presented in Priest.
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  10.  49
    Review of S. Centrone, Logic and Philosophy of Mathematics in the Early Husserl[REVIEW]Matteo Plebani - 2011 - Dialectica 65 (3):477-482.
  11.  14
    Caricatures and Prop Oriented Make-Believe.Elisa Caldarola & Matteo Plebani - 2016 - Ergo: An Open Access Journal of Philosophy 3.
    A caricature can reveal an aspect of its subject that a more faithful representation would fail to render: by depicting a slow and clumsy person as a monkey one can point out such qualities of the depicted subject, and by depicting a person with quite big ears as a person with enormous ears one can point out that the depicted person has rather big ears. How can a form of representation that is by definition inaccurate be so representationally powerful? Figurative (...)
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  12.  7
    Logic and Philosophy of Mathematics in the Early Husserl – By Stefania Centrone.Matteo Plebani - 2011 - Dialectica 65 (3):477-482.
  13.  1
    Logic and Philosophy of Mathematics in the Early Husserl - By Stefania Centrone.Matteo Plebani - 2011 - Dialectica 65 (3):477-482.
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  14. Introduzione Alla Filosofia Della Matematica.Matteo Plebani - 2011 - Carocci.
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