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31Wynn’s Experiments and the Later Wittgenstein’s Philosophy of MathematicsIyyun 61 219-240. 2012.This paper explores the connections between K. Wynn's well-known experiments in cognitive psychology and later Wittgenstein's views on the philosophy of mathematics.
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189Scientific explanation and understanding: unificationism reconsideredEuropean Journal for Philosophy of Science 7 (1): 103-126. 2017.The articulation of an overarching account of scientific explanation has long been a central preoccupation for the philosophers of science. Although a while ago the literature was dominated by two approaches—a causal account and a unificationist account—today the consensus seems to be that the causal account has won. In this paper, I challenge this consensus and attempt to revive unificationism. More specifically, I aim to accomplish three goals. First, I add new criticisms to the standard anti-…Read more
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168Later Wittgenstein On Essentialism, Family Resemblance And Philosophical MethodMetaphysica 6 (2): 53-73. 2005.In this paper I have two objectives. First, I attempt to call attention to the incoherence of the widely accepted anti-essentialist interpretation of Wittgenstein’s family resemblance point. Second, I claim that the family resemblance idea is not meant to reject essentialism, but to render this doctrine irrelevant, by dissipating its philosophical force. I argue that the role of the family resemblance point in later Wittgenstein’s views can be better understood in light of the provocative aim of…Read more
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62Neither Weak, Nor Strong? Emergence and Functional ReductionIn Brigitte Falkenburg & Margaret Morrison (eds.), Why More is Different: Philosophical Issues in Condensed Matter Physics and Complex Systems, Springer. pp. 253-266. 2015.The paper argues that the phenomenon of first-order phase transitions (e.g., freezing) has features that make it a candidate to be classified as 'emergent'. However, it cannot be described either as 'weakly emergent' or 'strongly emergent'; hence it escapes categorization in terms employed in the current literature on the metaphysics of science.
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207On the Role of Bridge Laws in Intertheoretic RelationsPhilosophy of Science 78 (5): 1108-1119. 2011.What is the role of bridge laws in inter-theoretic relations? An assumption shared by many views about these relations is that bridge laws enable reductions. In this article, I acknowledge the naturalness of this assumption, but I question it by presenting a context within thermal physics (involving phase transitions) in which the bridge laws, puzzlingly, seem to contribute to blocking the reduction.
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162Critical notice of C. Pincock's Mathematics and Scientific Representation (2012).
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116Wigner’s Puzzle for Mathematical NaturalismInternational Studies in the Philosophy of Science 23 (3): 245-263. 2009.I argue that a recent version of the doctrine of mathematical naturalism faces difficulties arising in connection with Wigner's old puzzle about the applicability of mathematics to natural science. I discuss the strategies to solve the puzzle and I show that they may not be available to the naturalist.
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186Steiner on the Applicability of Mathematics and NaturalismPhilosophia Mathematica 14 (1): 26-43. 2006.Steiner defines naturalism in opposition to anthropocentrism, the doctrine that the human mind holds a privileged place in the universe. He assumes the anthropocentric nature of mathematics and argues that physicists' employment of mathematically guided strategies in the discovery of quantum mechanics challenges scientists' naturalism. In this paper I show that Steiner's assumption about the anthropocentric character of mathematics is questionable. I draw attention to mathematicians' rejection o…Read more
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62Later Wittgenstein's Philosophy of MathematicsIn James Fieser & Bradley Dowden (eds.), Internet Encyclopedia of Philosophy, Routledge. 2011.An opinionated survey of the main topics in later Wittgenstein's philosophy of mathematics.
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66On ‘The Unreasonable Effectiveness of Mathematics in the Natural Sciences’In Emiliano Ippoliti, Fabio Sterpetti & Thomas Nickles (eds.), Models and Inferences in Science, Springer Verlag. pp. 11-29. 1st ed. 2016.I present a reconstruction of Eugene Wigner’s argument for the claim that mathematics is ‘unreasonable effective’, together with six objections to its soundness. I show that these objections are weaker than usually thought, and I sketch a new objection.
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170Underdetermination and the argument from indirect confirmationRatio 19 (3). 2006.In this paper I criticize one of the most convincing recent attempts to resist the underdetermination thesis, Laudan’s argument from indirect confirmation. Laudan highlights and rejects a tacit assumption of the underdetermination theorist, namely that theories can be confirmed only by empirical evidence that follows from them. He shows that once we accept that theories can also be confirmed indirectly, by evidence not entailed by them, the skeptical conclusion does not follow. I agree that Laud…Read more
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219Pythagorean heuristic in physicsPerspectives on Science 14 (4): 387-416. 2006.: Some of the great physicists' belief in the existence of a connection between the aesthetical features of a theory (such as beauty and simplicity) and its truth is still one of the most intriguing issues in the aesthetics of science. In this paper I explore the philosophical credibility of a version of this thesis, focusing on the connection between the mathematical beauty and simplicity of a theory and its truth. I discuss a heuristic interpretation of this thesis, attempting to clarify where…Read more
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111Book review of Emily Grosholz's Representation and Productive Ambiguity in Mathematics and the Sciences (2007)
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107Numerical Methods, Complexity, and Epistemic HierarchiesPhilosophy of Science 82 (5): 941-955. 2015.Modern mathematical sciences are hard to imagine without appeal to efficient computational algorithms. We address several conceptual problems arising from this interaction by outlining rival but complementary perspectives on mathematical tractability. More specifically, we articulate three alternative characterizations of the complexity hierarchy of mathematical problems that are themselves based on different understandings of computational constraints. These distinctions resolve the tension bet…Read more
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49Scientific Progress, Understanding and UnificationIn Ilie Parvu, Gabriel Sandu & Iulian D. Toader (eds.), Romanian Studies in Philosophy of Science, Springer. 2015.The paper argues that scientific progress is best characterized as an increase in scientists' understanding of the world. It also connects this idea with the claim that scientific understanding and explanation are captured in terms of unification.
Bergen, Norway