•  14
    Vasiliev and the Foundations of Logic
    In Dmitry Zaitsev & Vladimir Markin (eds.), The Logical Legacy of Nikolai Vasiliev and Modern Logic, Springer Verlag. pp. 43-58. 2017.
    Nikolai Vasiliev offered a systematic approach to the development of a class of non-classical logics, which he called “Imaginary Logics”. In this paper, I examine critically some of the central features of Vasiliev’s approach to logical theory, suggesting its relevance to contemporary debates in the philosophy of logic. I argue that there is much of significant value in Vasiliev’s work, which deserves close philosophical engagement.
  •  14
    The Epistemology of Modality and the Epistemology of Mathematics
    In Bob Fischer & Felipe Leon (eds.), Modal Epistemology After Rationalism, Springer. pp. 67-83. 2016.
    In this paper I explore some connections between the epistemology of modality and the epistemology of mathematics, and argue that they have far more in common than it may initially seem to be the case—even though modality need not (in fact, should not) be characterized in terms of possible worlds (as the modal realist insists) and mathematics need not (in fact, should not) be understood in terms of abstract entities (as the platonist recommends). Let’s see why.
  •  35
    Referring to Nothing
    Principia: An International Journal of Epistemology 28 (3). 2024.
    Typical accounts of reference demand that referring terms denote existent objects. This assumption is shared by theories across a variety of areas of philosophy, in particular, direct reference views in philosophy of language; neo-Fregean conceptions in the philosophy of mathematics, and easy-ontology approaches in metaphysics. In this paper, this assumption is resisted and the significance and the possibility of referring to the nonexistent is highlighted. After identifying difficulties in all …Read more
  •  5
    A companion to Latin American philosophy (edited book)
    with Susana Nuccetelli and Ofelia Schutte
    Wiley-Blackwell. 2013.
    This comprehensive collection of original essays written by an international group of scholars addresses the central themes in Latin American philosophy. Represents the most comprehensive survey of historical and contemporary Latin American philosophy available today Comprises a specially commissioned collection of essays, many of them written by Latin American authors Examines the history of Latin American philosophy and its current issues, traces the development of the discipline, and offers b…Read more
  •  34
    Heuristics and Mathematical Practice
    In Bharath Sriraman (ed.), Handbook of the History and Philosophy of Mathematical Practice, Springer Verlag. pp. 431-442. 2024.
    Proofs are central to mathematical practice in large part due to the heuristic role that some of them play. Not only do they help establish a result, but often provide new avenues of mathematical research. Jody Azzouni has argued that underlying the practice of creating mathematical proofs there is a very specific norm: to each proof there should be a corresponding algorithmic derivation, a derivation in an algorithmic system. Here a framework is provided to classify and assess mathematical proo…Read more
  •  473
    Lógica, lenguajes formales y modalidad
    Andamios 20 (53): 45-60. 2023.
    This paper examines two alleged limitations in the use of formal languages: on the one hand, the trade-offs between expressive and inferential power, and on the other, the phenomenon of system imprisonment. After reconceptualizing the issue, we consider the role played by modality in the understanding of certain aspects of mathematical structures and argue for its centrality.
  •  238
    Resisting easy inferences
    Philosophy and Phenomenological Research 102 (3): 729-735. 2021.
    Amie Thomasson has articulated a novel conception of ontological debates, defending an easy approach to ontological questions as part of the articulation of a deflationary metaphysical view (Thomasson, 2015). After raising some concerns to the approach, we sketch a neutralist alternative to her ontological framework, offering an even easier way of conducting ontological debates.
  •  163
    Putnam’s indispensability argument revisited, reassessed, revived
    Theoria : An International Journal for Theory, History and Fundations of Science 33 (2): 201-218. 2018.
    Crucial to Hilary Putnam’s realism in the philosophy of mathematics is to maintain the objectivity of mathematics without the commitment to the existence of mathematical objects. Putnam’s indispensability argument was devised as part of this conception. In this paper, I reconstruct and reassess Putnam’s argument for the indispensability of mathematics, and distinguish it from the more familiar, Quinean version of the argument. Although I argue that Putnam’s approach ultimately fails, I develop a…Read more
  •  79
    Is the Pyrrhonist an internalist?
    In Diego E. Machuca (ed.), New essays on ancient Pyrrhonism, Brill. pp. 126--179. 2011.
  •  167
    Styles of reasoning: A pluralist view
    Studies in History and Philosophy of Science Part A 43 (4): 657-665. 2012.
    Styles of reasoning are important devices to understand scientific practice. As I use the concept, a style of reasoning is a pattern of inferential relations that are used to select, interpret, and support evidence for scientific results. In this paper, I defend the view that there is a plurality of styles of reasoning: different domains of science often invoke different styles. I argue that this plurality is an important source of disunity in scientific practice, and it provides additional argu…Read more
  •  100
    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.…Read more
  •  1
    Individuation across Experimental and Theoretical Sciences (edited book)
    with R. Chen and M. B. Fagan
    Oxford University Press. 2018.
  •  169
    Realism and Anti-Realism about Science
    International Journal for the Study of Skepticism 5 (2): 145-167. 2015.
    Pyrrhonists provide a way of investigating the world in which conflicting views about a given topic are critically compared, assessed, and juxtaposed. Since Pyrrhonists are ultimately unable to decide between these views, they end up suspending judgment about the issues under examination. In this paper, I consider the question of whether Pyrrhonists can be realists or anti-realists about science, focusing, in particular, on contemporary philosophical discussions about it. Althoughprima faciethe …Read more
  •  625
    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.........
  •  164
    Empiricism, conservativeness, and quasi-truth
    Philosophy of Science 66 (3): 485. 1999.
    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 conservativ…Read more
  •  65
    Book reviews (review)
    with Matthias Schirn, N. C. A. Da Costa, Kenneth G. Ferguson, and Krystyna G. Misiuna
    History and Philosophy of Logic 19 (4): 267-277. 1998.
    Michael Dummett, Frege and other philosophers. Oxford:Clarendon Press, 1991. xii + 330pp. £35. ISBN W.Balzer and C.U.Moulines, Structuralist theory of science:focal issues, new results, Berlin; de Gruyter, 1996. xi + 295 pp.DM 210. ISBN 3-11-014075-6 Henry Prakken, Logical tools for modeling legal argument a study of defeasible reasoning in law.Dordrecht, The Netherlands:Kluwer Academic, 1997, xiii + 314pp.£75.00/$125.00 J.Srzednicki and Z.Stachniak Lesniewski’s Systems.Protothetic.Nijhoff Inter…Read more
  •  117
    Perception and Conception: Shaping Human Minds (review)
    Biosemiotics 6 (3): 323-336. 2013.
    Perceptual experiences provide an important source of information about the world. It is clear that having the capacity of undergoing such experiences yields an evolutionary advantage. But why should humans have developed not only the ability of simply seeing, but also of seeing that something is thus and so? In this paper, I explore the significance of distinguishing perception from conception for the development of the kind of minds that creatures such as humans typically have. As will become …Read more
  •  762
    Visual evidence at the nanoscale
    Spontaneous Generations 2 (1): 132. 2008.
    Research at the nanoscale (10.
  •  85
    Belief Systems and Partial Spaces
    Foundations of Science 21 (1): 225-236. 2016.
    One important role of belief systems is to allow us to represent information about a certain domain of inquiry. This paper presents a formal framework to accommodate such information representation. Three cognitive models to represent information are discussed: conceptual spaces, state-spaces, and the problem spaces familiar from artificial intelligence. After indicating their weakness to deal with partial information, it is argued that an alternative, formulated in terms of partial structures, …Read more
  •  163
    A Companion to Latin American Philosophy (edited book)
    with Susana Nuccetelli and Ofelia Schutte
    Wiley-Blackwell. 2009.
    This comprehensive collection of original essays written by an international group of scholars addresses the central themes in Latin American philosophy. Represents the most comprehensive survey of historical and contemporary Latin American philosophy available today Comprises a specially commissioned collection of essays, many of them written by Latin American authors Examines the history of Latin American philosophy and its current issues, traces the development of the discipline, and offers b…Read more
  •  35
    A evidência visual na ciência
    Scientiae Studia 9 (2): 267-290. 2011.
  •  1
    After mentioning the cogent connection between pure semantics and the particular set theoretical framework in which it is formulated, some issues regarding the conceptual status of semantics itself, as well as its relationship to logic, are concisely raised.
  •  1495
    Modalism and Logical Pluralism
    Mind 118 (470): 295-321. 2009.
    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 ni…Read more
  •  883
    Scientific Theories, Models and the Semantic Approach
    Principia: An International Journal of Epistemology 11 (2): 187-201. 2007.
    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 paralle…Read more
  •  334
    Structural realism and the nature of structure
    European Journal for Philosophy of Science 5 (1): 111-139. 2015.
    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 difficult…Read more