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Profile: Davide Rizza
  1. Justin Garson, Yasha Rohwer, Collin Rice, Matteo Colombo, Peter Brössel, Davide Rizza, Simon M. Huttegger, Richard Healey, Alyssa Ney & Kathryn Phillips (2013). 10. Referees for Philosophy of Science Referees for Philosophy of Science (Pp. 479-482). Philosophy of Science 80 (3).
     
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  2. Davide Rizza (2013). Arrow's Theorem and Theory Choice. Synthese 191 (8):1-10.
    In a recent paper (Okasha, Mind 120:83–115, 2011), Samir Okasha uses Arrow’s theorem to raise a challenge for the rationality of theory choice. He argues that, as soon as one accepts the plausibility of the assumptions leading to Arrow’s theorem, one is compelled to conclude that there are no adequate theory choice algorithms. Okasha offers a partial way out of this predicament by diagnosing the source of Arrow’s theorem and using his diagnosis to deploy an approach that circumvents it. In (...)
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  3. Davide Rizza (2013). The Applicability of Mathematics: Beyond Mapping Accounts. Philosophy of Science 80 (3):398-412.
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  4. Davide Rizza (2012). Resolving Paradoxes In Judgment Aggregation. Philosophical Quarterly 62 (247):337-354.
    When a law court makes a decision based on the individual deliberation of each judge, a case of judgment aggregation occurs. The possibility that the aggregation's outcome be logically inconsistent, even though it is based on consistent individual judgments, arises relatively easily and has been the subject of several investigations. In this paper I show that this paradoxical behaviour is the effect of decision procedures that are unable to discriminate between logically consistent and logically inconsistent individual judgments. The paradoxes can (...)
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  5. Davide Rizza (2011). Review of M. Leng, Mathematics and Reality. [REVIEW] Philosophical Quarterly 61 (244):655-657.
  6. Davide Rizza (2011). Magicicada, Mathematical Explanation and Mathematical Realism. Erkenntnis 74 (1):101-114.
    Baker (2005) claims to provide an example of mathematical explanation of an empirical phenomenon which leads to ontological commitment to mathematical objects. This is meant to show that the positing of mathematical entities is necessary for satisfactory scientific explanations and thus that the application of mathematics to science can be used, at least in some cases, to support mathematical realism. In this paper I show that the example of explanation Baker considers can actually be given without postulating mathematical objects and (...)
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  7. Davide Rizza (2010). Mathematical Nominalism and Measurement. Philosophia Mathematica 18 (1):53-73.
    In this paper I defend mathematical nominalism by arguing that any reasonable account of scientific theories and scientific practice must make explicit the empirical non-mathematical grounds on which the application of mathematics is based. Once this is done, references to mathematical entities may be eliminated or explained away in terms of underlying empirical conditions. I provide evidence for this conclusion by presenting a detailed study of the applicability of mathematics to measurement. This study shows that mathematical nominalism may be regarded (...)
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  8. Davide Rizza (2010). Discernibility by Symmetries. Studia Logica 96 (2):175 - 192.
    In this paper I introduce a novel strategy to deal with the indiscernibility problem for ante rem structuralism. The ante rem structuralist takes the ontology of mathematics to consist of abstract systems of pure relata. Many of such systems are totally symmetrical, in the sense that all of their elements are relationally indiscernible, so the ante rem structuralist seems committed to positing indiscernible yet distinct relata. If she decides to identify them, she falls into mathematical inconsistency while, accepting their distinctness, (...)
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  9. Davide Rizza (2009). Abstraction and Intuition in Peano's Axiomatizations of Geometry. History and Philosophy of Logic 30 (4):349-368.
    Peano's axiomatizations of geometry are abstract and non-intuitive in character, whereas Peano stresses his appeal to concrete spatial intuition in the choice of the axioms. This poses the problem of understanding the interrelationship between abstraction and intuition in his geometrical works. In this article I argue that axiomatization is, for Peano, a methodology to restructure geometry and isolate its organizing principles. The restructuring produces a more abstract presentation of geometry, which does not contradict its intuitive content but only puts it (...)
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  10. Davide Rizza (2006). Measurement-Theoretic Observations on Field's Instrumentalism and the Applicability of Mathematics. Abstracta 2 (2):148-171.
    In this paper I examine Field’s account of the applicability of mathematics from a measurementtheoretic perspective. Within this context, I object to Field’s instrumentalism, arguing that it depends on an incomplete analysis of applicability. I show in particular that, once the missing piece of analysis is provided, the role played by numerical entities in basic empirical theories must be revised: such revision implies that instrumentalism should be rejected and mathematical entities be regarded not merely as useful tools but also as (...)
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