Results for 'Silvia Toffoli'

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  1. Forms and Roles of Diagrams in Knot Theory.Silvia De Toffoli & Valeria Giardino - 2014 - Erkenntnis 79 (4):829-842.
    The aim of this article is to explain why knot diagrams are an effective notation in topology. Their cognitive features and epistemic roles will be assessed. First, it will be argued that different interpretations of a figure give rise to different diagrams and as a consequence various levels of representation for knots will be identified. Second, it will be shown that knot diagrams are dynamic by pointing at the moves which are commonly applied to them. For this reason, experts must (...)
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  2. ‘Chasing’ the diagram—the use of visualizations in algebraic reasoning.Silvia de Toffoli - 2017 - Review of Symbolic Logic 10 (1):158-186.
    The aim of this article is to investigate the roles of commutative diagrams (CDs) in a specific mathematical domain, and to unveil the reasons underlying their effectiveness as a mathematical notation; this will be done through a case study. It will be shown that CDs do not depict spatial relations, but represent mathematical structures. CDs will be interpreted as a hybrid notation that goes beyond the traditional bipartition of mathematical representations into diagrammatic and linguistic. It will be argued that one (...)
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  3. Groundwork for a Fallibilist Account of Mathematics.Silvia De Toffoli - 2021 - Philosophical Quarterly 7 (4):823-844.
    According to the received view, genuine mathematical justification derives from proofs. In this article, I challenge this view. First, I sketch a notion of proof that cannot be reduced to deduction from the axioms but rather is tailored to human agents. Secondly, I identify a tension between the received view and mathematical practice. In some cases, cognitively diligent, well-functioning mathematicians go wrong. In these cases, it is plausible to think that proof sets the bar for justification too high. I then (...)
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  4. What are mathematical diagrams?Silvia De Toffoli - 2022 - Synthese 200 (2):1-29.
    Although traditionally neglected, mathematical diagrams have recently begun to attract attention from philosophers of mathematics. By now, the literature includes several case studies investigating the role of diagrams both in discovery and justification. Certain preliminary questions have, however, been mostly bypassed. What are diagrams exactly? Are there different types of diagrams? In the scholarly literature, the term “mathematical diagram” is used in diverse ways. I propose a working definition that carves out the phenomena that are of most importance for a (...)
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  5. An Inquiry into the Practice of Proving in Low-Dimensional Topology.Silvia De Toffoli & Valeria Giardino - 2014 - In Giorgio Venturi, Marco Panza & Gabriele Lolli (eds.), From Logic to Practice: Italian Studies in the Philosophy of Mathematics. Cham: Springer International Publishing. pp. 315-336.
    The aim of this article is to investigate specific aspects connected with visualization in the practice of a mathematical subfield: low-dimensional topology. Through a case study, it will be established that visualization can play an epistemic role. The background assumption is that the consideration of the actual practice of mathematics is relevant to address epistemological issues. It will be shown that in low-dimensional topology, justifications can be based on sequences of pictures. Three theses will be defended. First, the representations used (...)
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  6. Reconciling Rigor and Intuition.Silvia De Toffoli - 2020 - Erkenntnis 86 (6):1783-1802.
    Criteria of acceptability for mathematical proofs are field-dependent. In topology, though not in most other domains, it is sometimes acceptable to appeal to visual intuition to support inferential steps. In previous work :829–842, 2014; Lolli, Panza, Venturi From logic to practice, Springer, Berlin, 2015; Larvor Mathematical cultures, Springer, Berlin, 2016) my co-author and I aimed at spelling out how topological proofs work on their own terms, without appealing to formal proofs which might be associated with them. In this article, I (...)
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  7. Envisioning Transformations – The Practice of Topology.Silvia De Toffoli & Valeria Giardino - 2016 - In Brendan Larvor (ed.), Mathematical Cultures: The London Meetings 2012-2014. Springer International Publishing. pp. 25-50.
    The objective of this article is twofold. First, a methodological issue is addressed. It is pointed out that even if philosophers of mathematics have been recently more and more concerned with the practice of mathematics, there is still a need for a sharp definition of what the targets of a philosophy of mathematical practice should be. Three possible objects of inquiry are put forward: (1) the collective dimension of the practice of mathematics; (2) the cognitives capacities requested to the practitioners; (...)
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  8. Intersubjective Propositional Justification.Silvia De Toffoli - 2022 - In Paul Silva & Luis R. G. Oliveira (eds.), Propositional and Doxastic Justification: New Essays on their Nature and Significance. New York: Routledge. pp. 241-262.
    The distinction between propositional and doxastic justification is well-known among epistemologists. Propositional justification is often conceived as fundamental and characterized in an entirely apsychological way. In this chapter, I focus on beliefs based on deductive arguments. I argue that such an apsychological notion of propositional justification can hardly be reconciled with the idea that justification is a central component of knowledge. In order to propose an alternative notion, I start with the analysis of doxastic justification. I then offer a notion (...)
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  9. Objectivity and Rigor in Classical Italian Algebraic Geometry.Silvia De Toffoli & Claudio Fontanari - 2022 - Noesis 38:195-212.
    The classification of algebraic surfaces by the Italian School of algebraic geometry is universally recognized as a breakthrough in 20th-century mathematics. The methods by which it was achieved do not, however, meet the modern standard of rigor and therefore appear dubious from a contemporary viewpoint. In this article, we offer a glimpse into the mathematical practice of the three leading exponents of the Italian School of algebraic geometry: Castelnuovo, Enriques, and Severi. We then bring into focus their distinctive conception of (...)
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  10. Who's Afraid of Mathematical Diagrams?Silvia De Toffoli - 2023 - Philosophers' Imprint 23 (1).
    Mathematical diagrams are frequently used in contemporary mathematics. They are, however, widely seen as not contributing to the justificatory force of proofs: they are considered to be either mere illustrations or shorthand for non-diagrammatic expressions. Moreover, when they are used inferentially, they are seen as threatening the reliability of proofs. In this paper, I examine certain examples of diagrams that resist this type of dismissive characterization. By presenting two diagrammatic proofs, one from topology and one from algebra, I show that (...)
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  11. The Epistemological Subject(s) of Mathematics.Silvia De Toffoli - 2024 - In Bharath Sriraman (ed.), Handbook of the History and Philosophy of Mathematical Practice. Cham: Springer. pp. 2880-2904.
    Paying attention to the inner workings of mathematicians has led to a proliferation of new themes in the philosophy of mathematics. Several of these have to do with epistemology. Philosophers of mathematical practice, however, have not (yet) systematically engaged with general (analytic) epistemology. To be sure, there are some exceptions, but they are few and far between. In this chapter, I offer an explanation of why this might be the case and show how the situation could be remedied. I contend (...)
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  12. Mathematical Justification without Proof.Silvia De Toffoli - forthcoming - In Giovanni Merlo, Giacomo Melis & Crispin Wright (eds.), Self-knowledge and Knowledge A Priori. Oxford University Press.
    According to a widely held view in the philosophy of mathematics, direct inferential justification for mathematical propositions (that are not axioms) requires proof. I challenge this view while accepting that mathematical justification requires arguments that are put forward as proofs. I argue that certain fallacious putative proofs considered by the relevant subjects to be correct can confer mathematical justification. But mathematical justification doesn’t come for cheap: not just any argument will do. I suggest that to successfully transmit justification an argument (...)
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  13. The Epistemic Roles of Diagrams.Silvia De Toffoli - forthcoming - In Kurt Sylvan, Ernest Sosa, Jonathan Dancy & Matthias Steup (eds.), The Blackwell Companion to Epistemology, 3rd edition. Wiley Blackwell.
  14. (1 other version)Recalcitrant Disagreement in Mathematics: An “Endless and Depressing Controversy” in the History of Italian Algebraic Geometry.Silvia De Toffoli & Claudio Fontanari - 2023 - Global Philosophy 33 (38):1-29.
    If there is an area of discourse in which disagreement is virtually absent, it is mathematics. After all, mathematicians justify their claims with deductive proofs: arguments that entail their conclusions. But is mathematics really exceptional in this respect? Looking at the history and practice of mathematics, we soon realize that it is not. First, deductive arguments must start somewhere. How should we choose the starting points (i.e., the axioms)? Second, mathematicians, like the rest of us, are fallible. Their ability to (...)
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  15. Proofs for a price: Tomorrow’s ultra-rigorous mathematical culture.Silvia De Toffoli - 2024 - Bulletin (New Series) of the American Mathematical Society 61 (3):395–410.
    Computational tools might tempt us to renounce complete cer- tainty. By forgoing of rigorous proof, we could get (very) probable results for a fraction of the cost. But is it really true that proofs (as we know and love them) can lead us to certainty? Maybe not. Proofs do not wear their correct- ness on their sleeve, and we are not infallible in checking them. This suggests that we need help to check our results. When our fellow mathematicians will be (...)
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  16.  24
    Objectivity and Rigor in Classical Italian Algebraic Geometry.Silvia De Fontanari Toffoli - 2024 - Noesis 38:195-212.
    The classification of algebraic surfaces by the Italian School of algebraic geometry is universally recognized as a breakthrough in 20th century mathematics. The methods by which it was achieved do not, however, meet the modern standard of rigor and therefore appear dubious from a contemporary viewpoint. In this article, we offer a glimpse into the mathematical practice of the three leading exponents of the Italian School of algebraic geometry: Castelnuovo, Enriques, and Severi. We then bring into focus their distinctive conception (...)
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  17. Conversation with John P. Burgess.Silvia De Toffoli - 2022 - Aphex 25.
    John P. Burgess is the John N. Woodhull Professor of Philosophy at Princeton University. He obtained his Ph.D. from the Logic and Methodology program at the University of California at Berkeley under the supervision of Jack H. Silver with a thesis on descriptive set theory. He is a very distinguished and influential philosopher of mathematics. He has written several books: A Subject with No Object (with G. Rosen, Oxford University Press, 1997), Computability and Logic (with G. Boolos and R. Jeffrey, (...)
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  18. Leopardi “Everything Is Evil”.Silvia De Toffoli - 2019 - In Andrew Chignell (ed.), Evil: A History (Oxford Philosophical Concepts). New York: Oxford University Press. pp. 351-357.
    Giacomo Leopardi, a major Italian poet of the nineteenth century, was also an expert in evil to whom Schopenhauer referred as a “spiritual brother.” Leopardi wrote: “Everything is evil. That is to say, everything that is, is evil; that each thing exists is an evil; each thing exists only for an evil end; existence is an evil.” These and other thoughts are collected in the Zibaldone, a massive collage of heterogeneous writings published posthumously. Leopardi’s pessimism assumes a polished form in (...)
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  19. What is Mathematical Rigor?John Burgess & Silvia De Toffoli - 2022 - Aphex 25:1-17.
    Rigorous proof is supposed to guarantee that the premises invoked imply the conclusion reached, and the problem of rigor may be described as that of bringing together the perspectives of formal logic and mathematical practice on how this is to be achieved. This problem has recently raised a lot of discussion among philosophers of mathematics. We survey some possible solutions and argue that failure to understand its terms properly has led to misunderstandings in the literature.
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  20. An Inquiry into the Practice of Proving in Low-Dimensional Topology.Valeria Giardino & Silvia Toffoli - 2014 - In Giorgio Venturi, Marco Panza & Gabriele Lolli (eds.), From Logic to Practice: Italian Studies in the Philosophy of Mathematics. Cham: Springer International Publishing.
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  21. Tools of Reason: The Practice of Scientific Diagramming from Antiquity to the Present.Greg Priest, Silvia De Toffoli & Paula Findlen - 2018 - Endeavour 42 (2-3):49-59.
  22.  93
    Resource allocation and rationing in nursing care: A discussion paper.P. Anne Scott, Clare Harvey, Heike Felzmann, Riitta Suhonen, Monika Habermann, Kristin Halvorsen, Karin Christiansen, Luisa Toffoli & Evridiki Papastavrou - 2019 - Nursing Ethics 26 (5):1528-1539.
    Driven by interests in workforce planning and patient safety, a growing body of literature has begun to identify the reality and the prevalence of missed nursing care, also specified as care left undone, rationed care or unfinished care. Empirical studies and conceptual considerations have focused on structural issues such as staffing, as well as on outcome issues – missed care/unfinished care. Philosophical and ethical aspects of unfinished care are largely unexplored. Thus, while internationally studies highlight instances of covert rationing/missed care/care (...)
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  23.  17
    Psychological Differences Among Healthcare Workers of a Rehabilitation Institute During the COVID-19 Pandemic: A Two-Step Study.Anna Panzeri, Silvia Rossi Ferrario & Paola Cerutti - 2021 - Frontiers in Psychology 12.
    Introduction:Healthcare workers facing the threatening COVID-19 can experience severe difficulties. Despite the need to evaluate both the psychological distress and positive protective resources, brief and reliable assessment tools are lacking.Aim:Study 1 aimed at developing a new assessment tool to measure psychological distress and esteem in healthcare workers during the COVID-19 pandemic. Study 2 aimed to explore and compare the psychological reactions of healthcare workers of the COVID-19 and the non-COVID-19 wards.Methods:In Study 1, psychologists created 25 items based on their clinical (...)
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  24. Arguments in favor of a religious coping pattern in terminally ill patients.Ioan Beatrice, Iov Cătălin, Dumitraș Silvia, Roman Gabriel, Moisa Ştefana Maria, Enache Mariana, Pârvu Andrada, Gramma Rodica & Chirita Radu - 2012 - Journal for the Study of Religions and Ideologies 11 (31):88-112.
     
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  25.  19
    Una Nueva Orientacion de la Filosofia Biologica: El Organicismo de Luis Bertalanffy.La Causalidad y el Determinismo en la Biologia.Arthur Child & Silvia E. Morales Gorleri de Tribino - 1948 - Philosophy and Phenomenological Research 9 (2):343.
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    Combining finite and infinite elements: Why do we use infinite idealizations in engineering?Silvia De Bianchi - 2019 - Synthese 196 (5):1733-1748.
    This contribution sheds light on the role of infinite idealization in structural analysis, by exploring how infinite elements and finite element methods are combined in civil engineering models. This combination, I claim, should be read in terms of a ‘complementarity function’ through which the representational ideal of completeness is reached in engineering model-building. Taking a cue from Weisberg’s definition of multiple-model idealization, I highlight how infinite idealizations are primarily meant to contribute to the prediction of structural behavior in Multiphysics approaches.
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    Body Image and Sexual Dissatisfaction: Differences Among Heterosexual, Bisexual, and Lesbian Women.Silvia Moreno-Domínguez, Tania Raposo & Paz Elipe - 2019 - Frontiers in Psychology 10.
    Gender-based differences in body image dissatisfaction are not conclusive. Women’s body experiences and their impact on sexual satisfaction may advance knowledge on how heterosexual, bisexual, and lesbian women internalize heterosexist values. In this study, we quantitatively examined the degree of body image and sexual dissatisfaction experienced by heterosexual, bisexual, and lesbian women, to determine whether body dissatisfaction can predict sexual dissatisfaction. Three hundred and fifty-four women completed an online survey measuring body and sexual dissatisfaction. No sexual orientation-based differences were observed (...)
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    Organización forestal comunal y sustentabilidad en San Juan Nuevo : poder y conflicto en torno a los usos locales, nacionales e internacionales de la reciprocidad.Sílvia Bofill Poch - 2002 - Endoxa 1 (15):61.
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  29.  54
    Admiration, moral knowledge and transformative experiences.Maria Silvia Vaccarezza - 2019 - Humana Mente 12 (35).
    In this paper, I examine the role played by the emotion of admiration in formulating moral judgments. First, I discuss whether and when admiration is a reliable source of moral knowledge, or, on the contrary, it misleads the subject, leaving her prey to forms of uncritical devotion to unworthy objects of admiration. To do so, I try to elucidate which underlying theory of emotions best allows one to characterize admiration as a reliable source of moral knowledge. Second, I introduce the (...)
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  30.  16
    Osservazioni sulle fonti esplicite di Copernico, Galilei e Newton nella Kritik der reinen Vernunft.Silvia De Bianchi - 2010 - Philosophical Readings 2 (1):157-178.
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  31.  47
    “Na linguagem clara e compreensível do povo”: História e cotidiano politizado nas poesias de lundus (Rio de Janeiro, segunda metade do século XIX).Silvia Cristina Martins de Souza - 2019 - Dialogos 23 (2):123.
    Este artigo explora as relações entre história e literatura considerando a literatura um testemunho que pode ser lido, desconstruído e submetido ao mesmo escrutínio ao qual os historiadores submetem outras fontes que lhes permitam ter acesso à compreensão de redes e tensões sociais mais amplas. Nele são utilizadas poesias publicadas no cancioneiro Trovador: coleção de modinhas, recitativos, árias, lundus, etc.., com o objetivo de mostrar como seus autores estabeleceram um diálogo entre si e com seus leitores acerca de um assunto (...)
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    Storytelling in addiction prevention: A basis for developing effective programs from a systematic review.Silvia Medina-Anzano, Samuel Rueda-Méndez & Isabel María Herrera-Sánchez - 2019 - Human Affairs 29 (1):32-47.
    Drug misuse is a complex social and health problem. People who use drugs have very specific profiles according to their life cycle and sociocultural circumstances. For this reason, contextualized approaches are needed in addiction interventions that take on board the particularities of consumption patterns and their circumstances. The storytelling technique as a narrative communication strategy can serve as the main methodological intervention component that enhances this contextualized approach.
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    Sofferenza e dolore: intorno a Paul Ricœur.Paola Bianchini, Silvia Peronaci & Paul Ricœur (eds.) - 2016 - Chieti: Solfanelli.
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    Are Inconclusive Decisions in Forensic Science as Deficient as They Are Said to Be?Alex Biedermann, Silvia Bozza, Franco Taroni & Joëlle Vuille - 2019 - Frontiers in Psychology 10.
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  35. Organización forestal comunal y sustentabilidad en San Juan Nuevo (Michoacán): poder y conflicto en torno a los usos locales, nacionales e internacionales de la reciprocidad.Sílvia Bofill Poch - 2001 - Endoxa 15:61-74.
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  36.  6
    Roberto Papini e l'Istituto internazionale Jacques Maritain.Pacetti Serafini & Maria Silvia (eds.) - 2021 - Roma: Aracne.
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    Rethinking antiparticles. Hermann Weyl’s contribution to neutrino physics.Silvia De Bianchi - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 61:68-79.
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    The Concept of “Technique of Nature”.Silvia del Luján Di Sanza - 2018 - In Gert Melville (ed.), Nature and Human: An Intricate Mutuality. Boston: De Gruyter. pp. 79-90.
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    Augmented Reality in Educational Inclusion. A Systematic Review on the Last Decade.Jairo Quintero, Silvia Baldiris, Rainer Rubira, Jhoni Cerón & Gloria Velez - 2019 - Frontiers in Psychology 10.
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    Transforming a Concept in a Tool: Diagnostic and Prognostic Value of Tasks Depleting Cognitive Resources.Maria Silvia Saccani, Giulio Contemori, Chiara Corolli & Mario Bonato - 2022 - Frontiers in Psychology 12.
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    Handlungstheorien des Bildes.Silvia Seja - 2009 - Köln: Herbert von Halem Verlag.
    Dieses Buch untersucht, was in den jeweiligen Theorieansätzen mit Bildhandeln‹ gemeint ist, indem eine Reihe von philosophischen und kunstwissenschaftlichen Ansätzen zum Verhältnis von Bild und Handlung vorgestellt und systematisiert werden. Vier paradigmatische Handlungstypen werden voneinander differenziert, die spezifische Verwendungsmöglichkeiten von Bildern umfassen. Die ersten zwei – Bildspiele‹ und Bildakte‹ – beruhen auf der sprachphilosophisch motivierten Prämisse, dass die Verwendung von Bildern der Struktur eines Sprachspieles oder eines Sprechaktes entspricht. Diese Prämisse bezieht sich auf Verwendungsweisen, durch die materiellen Gegenständen der Bildstatus (...)
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  42. How cheap can mechanics' first principles be?'.Tommaso Toffoli - 1990 - In Wojciech H. Zurek (ed.), Complexity, Entropy, and the Physics of Information. Addison-Wesley. pp. 301--318.
     
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  43. Sexual Difference from the Perspective of Merleau-Ponty Silvia.Silvia Stoller - 2001 - Phainomena 37.
    This essay argues that despite of the feminist critique of Merleau-Ponty his phenomenology can be positively appropriated to the theory of sexual difference. It focuses on three issues: the first one is closely linked to the Phenomenology of Perception and introduces a concept of "difference as differentiation". The second one is concerned with the intersubjective dimension of sexuality and will be called a "sexual syncretism". Finally, I’m referring to Merleau-Ponty's notion of "chiasm" in his late work The Visible and the (...)
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  44. Recommender systems and their ethical challenges.Silvia Milano, Mariarosaria Taddeo & Luciano Floridi - 2020 - AI and Society (4):957-967.
    This article presents the first, systematic analysis of the ethical challenges posed by recommender systems through a literature review. The article identifies six areas of concern, and maps them onto a proposed taxonomy of different kinds of ethical impact. The analysis uncovers a gap in the literature: currently user-centred approaches do not consider the interests of a variety of other stakeholders—as opposed to just the receivers of a recommendation—in assessing the ethical impacts of a recommender system.
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  45.  11
    Introduction.Silvia Bonacchi & Stanisław Czerniak - 2015 - Dialogue and Universalism 25 (4):7-9.
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  46.  38
    Chesterton in love.Silvia Guzzetti - 2011 - The Chesterton Review En Español 5 (1):171-172.
  47.  18
    Eutanasia ed etica del morire.Silvia Ingrilli - 2002 - Rivista di Storia Della Filosofia 3.
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    Values in Science. The role of cognitive and non-cognitive values in science.Silvia Ivani - 2020 - Dissertation, Tilburg University
    Should scientists value simple theories? Is fruitfulness an important criterion to assess scientific theories? What role moral, social, and political values should have in the assessment of scientific theories? In recent years, there has been an increasing interest among philosophers of science in studying how cognitive and non-cognitive values influence and should influence the assessment and comparison of scientific theories. While cognitive values (such as simplicity and fruitfulness) are features of scientific theories that are indicative of the truth or empirical (...)
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  49. What we (should) talk about when we talk about fruitfulness.Silvia Ivani - 2018 - European Journal for Philosophy of Science 9 (1):1-18.
    What are the relevant values to the appraisal of research programs? This question remains hotly debated, as philosophers have recently proposed many lists of values potentially relevant to scientific appraisal. Surprisingly, despite being mentioned in many lists, little attention has been paid to fruitfulness. It is unclear how fruitfulness should be explicated, and whether it has any substantial role in scientific appraisal. In this paper, I argue we should explicate fruitfulness as the capacity to develop of research programs. Moreover, I (...)
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  50. Algorithmic Profiling as a Source of Hermeneutical Injustice.Silvia Milano & Carina Prunkl - forthcoming - Philosophical Studies:1-19.
    It is well-established that algorithms can be instruments of injustice. It is less frequently discussed, however, how current modes of AI deployment often make the very discovery of injustice difficult, if not impossible. In this article, we focus on the effects of algorithmic profiling on epistemic agency. We show how algorithmic profiling can give rise to epistemic injustice through the depletion of epistemic resources that are needed to interpret and evaluate certain experiences. By doing so, we not only demonstrate how (...)
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