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Otavio Bueno [148]Otavio S. Bueno [1]
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Profile: Otávio Bueno (University of Miami)
Profile: Otavio Bueno (University of Miami)
  1. Otávio Bueno (2011). An Inferential Conception of the Application of Mathematics. Noûs 45 (2):345 - 374.
    A number of people have recently argued for a structural approach to accounting for the applications of mathematics. Such an approach has been called "the mapping account". According to this view, the applicability of mathematics is fully accounted for by appreciating the relevant structural similarities between the empirical system under study and the mathematics used in the investigation ofthat system. This account of applications requires the truth of applied mathematical assertions, but it does not require the existence of mathematical objects. (...)
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  2. Otávio Bueno & Scott A. Shalkowski (2009). Modalism and Logical Pluralism. Mind 118 (470):295-321.
    Logical pluralism is the view according to which there is more than one relation of logical consequence, even within a given language. A recent articulation of this view has been developed in terms of quantification over different cases: classical logic emerges from consistent and complete cases; constructive logic from consistent and incomplete cases, and paraconsistent logic from inconsistent and complete cases. We argue that this formulation causes pluralism to collapse into either logical nihilism or logical universalism. In its place, we (...)
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  3. Otavio Bueno & Jour AZZOUNI, Critical Studies/Book Reviews 319.
    Ask a philosopher what a proof is, and you’re likely to get an answer hii empaszng one or another regimentationl of that notion in terms of a finite sequence of formalized statements, each of which is either an axiom or is derived from an axiom by certain inference rules. (Wecan call this the formal conception of proof) Ask a mathematician what a proof is, and you will rbbl poay get a different-looking answer. Instead of stressing a partic- l uar regimented (...)
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  4. Otávio Bueno & Scott Shalkowski (2004). Modal Realism and Modal Epistemology: A Huge Gap. In Erik Weber Tim De Mey (ed.), Modal Epistemology. Koninklijke Vlaamse Academie van Belgie Vor Wetenschappen En Kunsten 93--106.
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  5. Otávio Bueno & Steven French (2012). Can Mathematics Explain Physical Phenomena? British Journal for the Philosophy of Science 63 (1):85-113.
    Batterman raises a number of concerns for the inferential conception of the applicability of mathematics advocated by Bueno and Colyvan. Here, we distinguish the various concerns, and indicate how they can be assuaged by paying attention to the nature of the mappings involved and emphasizing the significance of interpretation in this context. We also indicate how this conception can accommodate the examples that Batterman draws upon in his critique. Our conclusion is that ‘asymptotic reasoning’ can be straightforwardly accommodated within the (...)
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  6. Otavio Bueno & Steven French (2005). A Coherence Theory of Truth. Manuscrito 28 (2):263-290.
    In this paper, we provide a new formulation of a coherence theory of truth using the resources of the partial structures approach -— in particular the notions of partial structure and quasi-truth. After developing this new formulation, we apply the resulting theory to the philosophy of mathematics, and argue that it can be used to develop a new account of nominalism in mathematics. This application illustrates the strength and usefulness of the proposed formulation of a coherence theory of truth.
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  7. Otavio Bueno, Interpreting Music: Beyond Platonism.
    Central to the philosophical understanding of music is the status of musical works. According to the Platonist, musical works are abstract objects; that is, they are not located in space or time, and we have no causal access to them. Moreover, only a particular physical occurrence of these musical works is instantiated when a performance ofthe latter takes place. But even if no performance ever took place, the Platonist insists, the musical work would still exist, since its existence is not (...)
     
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  8. Otavio Bueno & Steven French (2011). How Theories Represent. British Journal for the Philosophy of Science 62 (4):857-894.
    An account of scientific representation in terms of partial structures and partial morphisms is further developed. It is argued that the account addresses a variety of difficulties and challenges that have recently been raised against such formal accounts of representation. This allows some useful parallels between representation in science and art to be drawn, particularly with regard to apparently inconsistent representations. These parallels suggest that a unitary account of scientific and artistic representation is possible, and our article can be viewed (...)
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  9. Otavio Bueno & Newton da Costa (2007). Quasi-Truth, Paraconsistency, and the Foundations of Science. Synthese 154 (3):383 - 399.
    In order to develop an account of scientific rationality, two problems need to be addressed: (i) how to make sense of episodes of theory change in science where the lack of a cumulative development is found, and (ii) how to accommodate cases of scientific change where lack of consistency is involved. In this paper, we sketch a model of scientific rationality that accommodates both problems. We first provide a framework within which it is possible to make sense of scientific revolutions, (...)
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  10. Otavio Bueno (2005). Dirac and the Dispensability of Mathematics. Studies in History and Philosophy of Science Part B 36 (3):465-490.
    In this paper, 1 examine the role of the delta function in Dirac’s formulation of quantum mechanics (QM), and I discuss, more generally, the role of mathematics in theory construction. It has been argued that mathematical theories play an indispensable role in physics, particularly in QM [Colyvan, M. (2001). The inrlispensability of mathematics. Oxford University Press: Oxford]. As I argue here, at least in the case of the delta function, Dirac was very clear about its rlispensability. I first discuss the (...)
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  11. Raffaella de Rosa & Otávio Bueno, ProtoSociology.
    Bibliografische Information Der Deutschen Bibliothek Die Deutsche Bibliothek verzeichnet diese Publikation in der Deutschen Natio­ nal bibliografie; detaillierte bibliografische Daten sind im Internet über http://dnb. ddb.de abrufbar. Alle Rechte vorbehalten. Das Werk einschließlich aller seiner Teile ist urheberrechtlich geschützt. Je de Ver­ wertung außerhalb der engen Grenzen des Urheberrechtsgesetzes ist ohne Zu­ stimmung der Zeitschirft und seines Herausgebers unzulässig und strafbar. Das gilt insbesondere für Vervielfältigungen, Über setzungen, Mikroverfil mungen und die Einspeisung und Verarbeitung in elektronischen Systemen.
     
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  12. Jody Azzouni & Otávio Bueno (2008). On What It Takes for There to Be No Fact of the Matter. Noûs 42 (4):753-769.
    Philosophers are very fond of making non-factualist claims—claims to the effect that there is no fact of the matter as to whether something is the case. But can these claims be coherently stated in the context of classical logic? Some care is needed here, we argue, otherwise one ends up denying a tautology or embracing a contradiction. In the end, we think there are only two strategies available to someone who wants to be a non-factualist about something, and remain within (...)
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  13. Otávio Bueno (2006). The Methodological Character of Symmetry Principles. Abstracta 3 (1):3-28.
    In this paper, I argue that symmetry principles in physics (in particular, in quantum mechanics) have a methodological character, rather than an ontological or an epistemological one. First, I provide a framework to address three related issues regarding the notion of symmetry: (i) how the notion can be characterized; (ii) one way of discussing the nature of symmetry principles, and (iii) a tentative account of some types of symmetry in physics. To illustrate how the framework functions, I then consider the (...)
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  14. Otavio Bueno, Outline of a Paraconsistent Category Theory.
    The aim of this paper is two-fold: (1) To contribute to a better knowledge of the method of the Argentinean mathematicians Lia Oubifia and Jorge Bosch to formulate category theory independently of set theory. This method suggests a new ontology of mathematical objects, and has a profound philosophical significance (the underlying logic of the resulting category theory is classical iirst—order predicate calculus with equality). (2) To show in outline how the Oubina-Bosch theory can be modified to give rise to a (...)
     
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  15.  38
    Otávio Bueno, Steven French & James Ladyman (2002). On Representing the Relationship Between the Mathematical and the Empirical. Philosophy of Science 69 (3):497-518.
    We examine, from the partial structures perspective, two forms of applicability of mathematics: at the “bottom” level, the applicability of theoretical structures to the “appearances”, and at the “top” level, the applicability of mathematical to physical theories. We argue that, to accommodate these two forms of applicability, the partial structures approach needs to be extended to include a notion of “partial homomorphism”. As a case study, we present London's analysis of the superfluid behavior of liquid helium in terms of Bose‐Einstein (...)
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  16. Jody Azzouni & Otavio Bueno, Critical Studies/Book Reviews 319.
    Ask a philosopher what a proof is, and you’re likely to get an answer hii empaszng one or another regimentationl of that notion in terms of a finite sequence of formalized statements, each of which is either an axiom or is derived from an axiom by certain inference rules. (Wecan call this the formal conception of proof) Ask a mathematician what a proof is, and you will rbbl poay get a different-looking answer. Instead of stressing a partic- l uar regimented (...)
     
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  17. Otávio Bueno (2003). Quine's Double Standard: Undermining the Indispensability Argument Via the Indeterminacy of Reference. Principia 7 (1-2):17-39.
    Quine has famously put forward the indispensability argument to force belief in the existence of mathematical objects (such as classes) due to their indispensability to our best theories of the world (Quine 1960). Quine has also advocated the indeterminacy of reference argument, according to which reference is dramatically indeterminate: given a language, there’s no unique reference relation for that language (see Quine 1969a). In this paper, I argue that these two arguments are in conflict with each other. Whereas the indispensability (...)
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  18. OtáVio Bueno & Mark Colyvan (2003). Paradox Without Satisfaction. Analysis 63 (2):152–156.
    Consider the following denumerably infinite sequence of sentences: (s1) For all k > 1, sk is not true. (s2) For all k > 2, sk is not true. (s3) For all k > 3, sk is not true.
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  19. Otavio Bueno (2001). Logicism Revisited. Principia 5 (1-2):99-124.
    In this paper, I develop a new defense of logicism: one that combines logicism and nominalism. First, I defend the logicist approach from recent criticisms; in particular from the charge that a cruciai principie in the logicist reconstruction of arithmetic, Hume's Principle, is not analytic. In order to do that, I argue, it is crucial to understand the overall logicist approach as a nominalist view. I then indicate a way of extending the nominalist logicist approach beyond arithmetic. Finally, I argue (...)
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  20. Otávio Bueno (2005). On the Referential Indeterminacy of Logical and Mathematical Concepts. Journal of Philosophical Logic 34 (1):65 - 79.
    Hartry Field has recently examined the question whether our logical and mathematical concepts are referentially indeterminate. In his view, (1) certain logical notions, such as second-order quantification, are indeterminate, but (2) important mathematical notions, such as the notion of finiteness, are not (they are determinate). In this paper, I assess Field's analysis, and argue that claims (1) and (2) turn out to be inconsistent. After all, given that the notion of finiteness can only be adequately characterized in pure secondorder logic, (...)
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  21. Darrell P. Rowbottom & Otávio Bueno (2009). Why Advocate Pancritical Rationalism? In R. S. Cohen & Z. Parusniková (eds.), Rethinking Popper, Boston Studies in the Philosophy of Science. Springer 81--89.
    This paper provides a rationale for advocating pancritical rationalism. First, it argues that the advocate of critical rationalism may accept (but not be internally justified in accepting) that there is ‘justification’ in an externalist sense, specifically that certain procedures can track truth, and suggest that this recognition should inform practice; that one should try to determine which sources and methods are appropriate for various aspects of inquiry, and to what extent they are. Second, it argues that if there is external (...)
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  22. Otávio Bueno & Mark Colyvan (2012). Just What is Vagueness? Ratio 25 (1):19-33.
    We argue that standard definitions of ‘vagueness’ prejudice the question of how best to deal with the phenomenon of vagueness. In particular, the usual understanding of ‘vagueness’ in terms of borderline cases, where the latter are thought of as truth-value gaps, begs the question against the subvaluational approach. According to this latter approach, borderline cases are inconsistent (i.e., glutty not gappy). We suggest that a definition of ‘vagueness’ should be general enough to accommodate any genuine contender in the debate over (...)
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  23. Otavio Bueno, Second-Order Logic Revisited.
    In this paper, I shall provide a defence of second-order logic in the context of its use in the philosophy of mathematics. This shall be done by considering three problems that have been recently posed against this logic: (1) According to Resnik [1988], by adopting second-order quantifiers, we become ontologically committed to classes. (2) As opposed to what is claimed by defenders of second-order logic (such as Shapiro [1985]), the existence of non-standard models of first-order theories does not establish the (...)
     
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  24.  11
    Otávio Bueno (forthcoming). An Anti-Realist Account of the Application of Mathematics. Philosophical Studies:1-14.
    Mathematical concepts play at least three roles in the application of mathematics: an inferential role, a representational role, and an expressive role. In this paper, I argue that, despite what has often been alleged, platonists do not fully accommodate these features of the application of mathematics. At best, platonism provides partial ways of handling the issues. I then sketch an alternative, anti-realist account of the application of mathematics, and argue that this account manages to accommodate these features of the application (...)
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  25. Newton C. A. da Costa, Jean-Yves Béziau & Otávio Bueno (1999). Professor Newton CA da Costa Awarded Nicholas Copernicus University Medal of Merit. Logic and Logical Philosophy 7:7-10.
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  26. Otavio Bueno & Scott Shalkowski (2016). Modal Epistemology. Routledge.
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  27. Otávio Bueno & Mark Colyvan, Yablo's Paradox Rides Again: A Reply to Ketland.
    Yablo’s paradox is generated by the following (infinite) list of sentences (called the Yablo list): (s1) For all k > 1, sk is not true. (s2) For all k > 2, sk is not true. (s3) For all k > 3, sk is not true. . . . . . . . .
     
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  28.  81
    Darrell P. Rowbottom & Otávio Bueno (2011). How to Change It: Modes of Engagement, Rationality, and Stance Voluntarism. Synthese 178 (1):7-17.
    We have three goals in this paper. First, we outline an ontology of stance, and explain the role that modes of engagement and styles of reasoning play in the characterization of a stance. Second, we argue that we do enjoy a degree of control over the modes of engagement and styles of reasoning we adopt. Third, we contend that maximizing one’s prospects for change (within the framework of other constraints, e.g., beliefs, one has) also maximizes one’s rationality.
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  29. Otávio Bueno (2008). Visual Evidence at the Nanoscale. Spontaneous Generations 2 (1):132.
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  30. Otavio Bueno & Newton da Costa, Rationality, Inconsistency, and Partial Structures.
  31.  14
    Darrell P. Rowbottom & Otávio Bueno (2011). How to Change It: Modes of Engagement, Rationality, and Stance Voluntarism. Synthese 178 (1):7-17.
    We have three goals in this paper. First, we outline an ontology of stance, and explain the role that modes of engagement and styles of reasoning play in the characterization of a stance. Second, we argue that we do enjoy a degree of control over the modes of engagement and styles of reasoning we adopt. Third, we contend that maximizing one’s prospects for change also maximizes one’s rationality.
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  32. Décio Krause & Otávio Bueno (2007). Scientific Theories, Models, and the Semantic Approach. Principia 11 (2):187-201.
    According to the semantic view, a theory is characterized by a class of mod- els. In this paper, we examine critically some of the assumptions that underlie this approach. First, we recall that models are models of something. Thus we cannot leave completely aside the axiomatization of the theories under consider- ation, nor can we ignore the metamathematics used to elaborate these models, for changes in the metamathematics often impose restrictions on the resulting models. Second, based on a parallel between (...)
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  33. Otávio Bueno (2008). Truth and Proof. Manuscrito 31 (1):419-440.
    Current versions of nominalism in the philosophy of mathematics face a significant problem to understand mathematical knowledge. They are unable to characterize mathematical knowledge as knowledge of the objects mathematical theories are taken to be about. Oswaldo Chateaubriand’s insightful reformulation of Platonism (Chateaubriand 2005) avoids this problem by advancing a broader conception of knowledge as justified truth beyond a reasonable doubt, and by introducing a suitable characterization of logical form in which the relevant mathematical facts play an important role in (...)
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  34. Otávio Bueno & Øystein Linnebo (eds.) (2009). New Waves in Philosophy of Mathematics. Palgrave Macmillan.
    Thirteen up-and-coming researchers in the philosophy of mathematics have been invited to write on what they take to be the right philosophical account of mathematics, examining along the way where they think the philosophy of mathematics is and ought to be going. A rich and diverse picture emerges. Some broader tendencies can nevertheless be detected: there is increasing attention to the practice, language and psychology of mathematics, a move to reassess the orthodoxy, as well as inspiration from philosophical logic.
     
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  35.  71
    Otávio Bueno & Scott A. Shalkowski (2013). Logical Constants: A Modalist Approach 1. Noûs 47 (1):1-24.
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  36.  48
    Newton C. A. Da Costa, Otávio Bueno & Steven French (1998). The Logic of Pragmatic Truth. Journal of Philosophical Logic 27 (6):603-620.
    The mathematical concept of pragmatic truth, first introduced in Mikenberg, da Costa and Chuaqui (1986), has received in the last few years several applications in logic and the philosophy of science. In this paper, we study the logic of pragmatic truth, and show that there are important connections between this logic, modal logic and, in particular, Jaskowski's discussive logic. In order to do so, two systems are put forward so that the notions of pragmatic validity and pragmatic truth can be (...)
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  37. Otávio Bueno (1999). What is Structural Empiricism? Scientific Change in an Empiricist Setting. Erkenntnis 50 (1):55-81.
    In this paper a constructive empiricist account of scientific change is put forward. Based on da Costa's and French's partial structures approach, two notions of empirical adequacy are initially advanced (with particular emphasis on the introduction of degrees of empirical adequacy). Using these notions, it is shown how both the informativeness and the empirical adequacy requirements of an empiricist theory of scientific change can then be met. Finally, some philosophical consequences with regard to the role of structures in this context (...)
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  38. James Ladyman, Otávio Bueno, Mauricio Suárez & Bas van Fraassen (2011). Scientific Representation: A Long Journey From Pragmatics to Pragmatics. [REVIEW] Metascience 20 (3):417-442.
    Scientific representation: A long journey from pragmatics to pragmatics Content Type Journal Article DOI 10.1007/s11016-010-9465-5 Authors James Ladyman, Department of Philosophy, University of Bristol, 9 Woodland Rd, Bristol, BS8 1TB UK Otávio Bueno, Department of Philosophy, University of Miami, Coral Gables, FL 33124, USA Mauricio Suárez, Department of Logic and Philosophy of Science, Complutense University of Madrid, 28040 Madrid, Spain Bas C. van Fraassen, Philosophy Department, San Francisco State University, 1600 Holloway Avenue, San Francisco, CA 94132, USA Journal Metascience Online (...)
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  39.  95
    Otávio Bueno (2008). Scientific Representation and Nominalism: An Empiricist View. Principia 12 (2):177-192.
    http://dx.doi.org/10.5007/1808-1711.2008v12n2p177 Can a constructive empiricist make sense of scientific representation? Usually, a scientific model is an abstract entity (e.g., formulated in set theory), and scientific representation is conceptualized as an intentional relation between scientific models and certain aspects of the world. On this conception, since both the models and the representation relation are abstract, a constructive empiricist, who is not committed to the existence of abstract entities, would be unable to invoke these notions to make sense of scientific representation. In (...)
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  40.  40
    Otávio Bueno (2011). Structural Empiricism, Again. In Alisa Bokulich & Peter Bokulich (eds.), Scientific Structuralism. Springer Science+Business Media 81--103.
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  41.  71
    Jonas R. Becker Arenhart & Otávio Bueno (2015). Structural Realism and the Nature of Structure. European Journal for Philosophy of Science 5 (1):111-139.
    Ontic Structural Realism is a version of realism about science according to which by positing the existence of structures, understood as basic components of reality, one can resolve central difficulties faced by standard versions of scientific realism. Structures are invoked to respond to two important challenges: one posed by the pessimist meta-induction and the other by the underdetermination of metaphysics by physics, which arises in non-relativistic quantum mechanics. We argue that difficulties in the proper understanding of what a structure is (...)
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  42.  7
    Otávio Bueno & Mark Colyvan (2011). An Inferential Conception of the Application of Mathematics. Noûs 45 (2):345-374.
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  43.  25
    Otávio Bueno (1999). Empiricism, Conservativeness, and Quasi-Truth. Philosophy of Science 66 (3):485.
    A first step is taken towards articulating a constructive empiricist philosophy of mathematics, thus extending van Fraassen's account to this domain. In order to do so, I adapt Field's nominalization program, making it compatible with an empiricist stance. Two changes are introduced: (a) Instead of taking conservativeness as the norm of mathematics, the empiricist countenances the weaker notion of quasi-truth (as formulated by da Costa and French), from which the formal properties of conservativeness are derived; (b) Instead of quantifying over (...)
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  44. Otavio Bueno & Edelcio de Souza (1996). The Concept of Quasi-Truth. Logique Et Analyse 153 (154):183-199.
     
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  45.  88
    Otávio Bueno, Christopher Menzel & Edward N. Zalta (2013). Worlds and Propositions Set Free. Erkenntnis (4):1-24.
    The authors provide an object-theoretic analysis of two paradoxes in the theory of possible worlds and propositions stemming from Russell and Kaplan. After laying out the paradoxes, the authors provide a brief overview of object theory and point out how syntactic restrictions that prevent object-theoretic versions of the classical paradoxes are justified philosophically. The authors then trace the origins of the Russell paradox to a problematic application of set theory in the definition of worlds. Next the authors show that an (...)
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  46.  17
    Otávio Bueno & Décio Krause (2010). Scientific Theories, Models, and the Semantic Approach. Principia 11 (2):187-201.
    According to the semantic view, a theory is characterized by a class of models. In this paper, we examine critically some of the assumptions that underlie this approach. First, we recall that models are models of something. Thus we cannot leave completely aside the axiomatization of the theories under consideration, nor can we ignore the metamathematics used to elaborate these models, for changes in the metamathematics often impose restrictions on the resulting models. Second, based on a parallel between van Fraassen’s (...)
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  47. Otávio Bueno & Edward N. Zalta (2005). A Nominalist's Dilemma and its Solution. Philosophia Mathematica 13 (3):297-307.
    Current versions of nominalism in the philosophy of mathematics have the benefit of avoiding commitment to the existence of mathematical objects. But this comes with the cost of not taking mathematical theories literally. Jody Azzouni's Deflating Existential Consequence has recently challenged this conclusion by formulating a nominalist view that lacks this cost. In this paper, we argue that, as it stands, Azzouni's proposal does not yet succeed. It faces a dilemma to the effect that either the view is not nominalist (...)
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  48. Otávio Bueno (2008). Structural Realism, Scientific Change, and Partial Structures. Studia Logica 89 (2):213 - 235.
    Scientific change has two important dimensions: conceptual change and structural change. In this paper, I argue that the existence of conceptual change brings serious difficulties for scientific realism, and the existence of structural change makes structural realism look quite implausible. I then sketch an alternative account of scientific change, in terms of partial structures, that accommodates both conceptual and structural changes. The proposal, however, is not realist, and supports a structuralist version of van Fraassen’s constructive empiricism (structural empiricism).
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  49.  74
    Otávio Bueno & Scott A. Shalkowski (2014). Modalism and Theoretical Virtues: Toward an Epistemology of Modality. Philosophical Studies 172 (3):671-689.
    According to modalism, modality is primitive. In this paper, we examine the implications of this view for modal epistemology, and articulate a modalist account of modal knowledge. First, we discuss a theoretical utility argument used by David Lewis in support of his claim that there is a plurality of concrete worlds. We reject this argument, and show how to dispense with possible worlds altogether. We proceed to account for modal knowledge in modalist terms.
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  50.  13
    Otávio Bueno & Mark Colyvan (2004). Logical Non-Apriorism and the Law of Non-Contradiction. In Graham Priest, Jc Beall & Bradley P. Armour-Garb (eds.), The Law of Non-Contradiction : New Philosophical Essays. Oxford University Press 156--175.
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