Results for 'Pier Aldo Rovatti'

116 found
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  1. Are non-accidental regularities a cosmic coincidence? Revisiting a central threat to Humean laws.Aldo Filomeno - 2019 - Synthese 198 (6):5205-5227.
    If the laws of nature are as the Humean believes, it is an unexplained cosmic coincidence that the actual Humean mosaic is as extremely regular as it is. This is a strong and well-known objection to the Humean account of laws. Yet, as reasonable as this objection may seem, it is nowadays sometimes dismissed. The reason: its unjustified implicit assignment of equiprobability to each possible Humean mosaic; that is, its assumption of the principle of indifference, which has been attacked on (...)
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  2. The Demands of Self-Constraint: Diagnosis and Idealism in Wittgenstein, Diamond, and Kant.Jens Pier - 2024 - In Herbert Hrachovec & Jakub Mácha (eds.), Platonism: Proceedings of the 43rd International Wittgenstein Symposium. Berlin: De Gruyter.
    The legacy of the Platonic dialogues may well lie, not in any classical idealist “doctrine of forms,” but in an inquisitive stance towards the puzzle behind any such doctrine—how thought can be about anything at all. This Platonic puzzle may, however, yield a different guise of idealism that is recognizably diagnostic: it aims to dispel our worry about thought’s objectivity as a confusion, engendered by a self-alienation of thought. These themes of diagnosis and idealism resurface in Wittgenstein, who in his (...)
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  3. Typicality of Dynamics and the Laws of Nature.Aldo Filomeno - 2023 - In Cristián Soto (ed.), Current Debates in Philosophy of Science: In Honor of Roberto Torretti. Springer Verlag.
    Certain results, most famously in classical statistical mechanics and complex systems, but also in quantum mechanics and high-energy physics, yield a coarse-grained stable statistical pattern in the long run. The explanation of these results shares a common structure: the results hold for a 'typical' dynamics, that is, for most of the underlying dynamics. In this paper I argue that the structure of the explanation of these results might shed some light --a different light-- on philosophical debates on the laws of (...)
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  4. Stable regularities without governing laws?Aldo Filomeno - 2019 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 66:186-197.
    Can stable regularities be explained without appealing to governing laws or any other modal notion? In this paper, I consider what I will call a ‘Humean system’—a generic dynamical system without guiding laws—and assess whether it could display stable regularities. First, I present what can be interpreted as an account of the rise of stable regularities, following from Strevens [2003], which has been applied to explain the patterns of complex systems (such as those from meteorology and statistical mechanics). Second, since (...)
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  5. John Stuart Mill on Luck and Distributive Justice.Piers Norris Turner - 2019 - In Ian M. Church & Robert J. Hartman (eds.), The Routledge Handbook of the Philosophy and Psychology of Luck. New York: Routledge. pp. 80-93.
    My aim in this chapter is to place John Stuart Mill’s distinctive utilitarian political philosophy in the context of the debate about luck, responsibility, and equality. I hope it will reveal the extent to which his utilitarianism provides a helpful framework for synthesizing the competing claims of luck and relational egalitarianism. I attempt to show that when Mill’s distributive justice commitments are not decided by direct appeal to overall happiness, they are guided by three main public principles: an impartiality principle, (...)
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  6. Idealism and Facticity: Kant’s Grounding of Metaphysics and Fichte’s Challenge.Jens Pier - forthcoming - International Journal of Philosophical Studies.
    Kant scholarship often refers to transcendental idealism as a ‘theory.’ Kant’s project, however, is not easily reconciled with that term in its current use. This paper contends that his critique and idealism should be seen as a remedial response against our natural albeit confused prejudice of transcendental realism. Kant’s idealism articulates a ‘metametaphysical’ ethos that is supposed to provide a new grounding of metaphysics by proceeding ‘from the human standpoint:’ it aims to dispel the temptation of transcendental realism in favor (...)
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  7. Limits of Intelligibility: Issues from Kant and Wittgenstein.Jens Pier (ed.) - 2023 - London: Routledge.
    The essays in this volume investigate the question of where, and in what sense, the bounds of intelligible thought, knowledge, and speech are to be drawn. Is there a way in which we are limited in what we think, know, and say? And if so, does this mean that we are constrained – that there is something beyond the ken of human intelligibility of which we fall short? Or is there another way to think about these limits of intelligibility – (...)
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  8. Social Morality in Mill.Piers Norris Turner - 2016 - In Piers Norris Turner & Gaus F. Gerald (eds.), Public Reason in Political Philosophy: Classic Sources and Contemporary Commentaries. New York: Routledge. pp. 375-400.
    A leading classical utilitarian, John Stuart Mill is an unlikely contributor to the public reason tradition in political philosophy. To hold that social rules or political institutions are justified by their contribution to overall happiness is to deny that they are justified by their being the object of consensus or convergence among all those holding qualified moral or political viewpoints. In this chapter, I explore the surprising ways in which Mill nevertheless works to accommodate the problems and insights of the (...)
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  9. Fundamentality, Effectiveness, and Objectivity of Gauge Symmetries.Aldo Filomeno - 2016 - International Studies in the Philosophy of Science 30 (1):19-37.
    Much recent philosophy of physics has investigated the process of symmetry breaking. Here, I critically assess the alleged symmetry restoration at the fundamental scale. I draw attention to the contingency that gauge symmetries exhibit, that is, the fact that they have been chosen from an infinite space of possibilities. I appeal to this feature of group theory to argue that any metaphysical account of fundamental laws that expects symmetry restoration up to the fundamental level is not fully satisfactory. This is (...)
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  10. Suspension of judgment, non-additivity, and additivity of possibilities.Aldo Filomeno - forthcoming - Acta Analytica:1-22.
    In situations where we ignore everything but the space of possibilities, we ought to suspend judgment—that is, remain agnostic—about which of these possibilities is the case. This means that we cannot sum our degrees of belief in different possibilities, something that has been formalized as an axiom of non-additivity. Consistent with this way of representing our ignorance, I defend a doxastic norm that recommends that we should nevertheless follow a certain additivity of possibilities: even if we cannot sum degrees of (...)
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  11. On the possibility of stable regularities without fundamental laws.Aldo Filomeno - 2014 - Dissertation, Autonomous University of Barcelona
    This doctoral dissertation investigates the notion of physical necessity. Specifically, it studies whether it is possible to account for non-accidental regularities without the standard assumption of a pre-existent set of governing laws. Thus, it takes side with the so called deflationist accounts of laws of nature, like the humean or the antirealist. The specific aim is to complement such accounts by providing a missing explanation of the appearance of physical necessity. In order to provide an explanation, I recur to fields (...)
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  12. More Democracy Is Not Better Democracy: Cain's Case for Reform Pluralism.Piers Norris Turner - 2014 - Election Law Journal 13 (4):520-525.
    This article is part of a symposium on Bruce Cain's "Democracy More or Less: America’s Political Reform Quandary." It identifies the basic normative framework of Cain's skeptical "reform pluralism" as a form of democratic instrumentalism rather than political realism, and then argues that a more optimistic instrumentalist alternative is available. The instrumentalist can accept that more democracy need not entail better democracy. But the instrumentalist account of better democracy also gives us reason to believe that significant reform efforts remain worth (...)
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  13. ¿Más es diferente, o es más de lo mismo? Introducción al debate contemporáneo sobre emergencia y reduccionismo.Aldo Filomeno, Carlos Romero & José Jerez - 2024 - Revista de Humanidades de Valparaíso (25):3-18.
    Como introducción al monográfico sobre reduccionismo y emergencia brindamos aquí un contexto teórico al debate contemporáneo. Hablaremos primero del acercamiento naturalista en filosofía (§2), así como de dos de las características más importantes de la emergencia: autonomía y universalidad (§3). Finalmente, basándonos en la literatura contemporánea (principalmente en Patricia Palacios y Jessica Wilson, además de Mario Bunge y Alicia Juarrero) presentamos algunas de las definiciones y distinciones más importantes para entender mejor el debate sobre la emergencia (§4).
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  14. John Stuart Mill.Piers Norris Turner - manuscript
    A comprehensive draft overview of John Stuart Mill's public life and philosophy, including discussion of: 1. A System of Logic. – 2. The Greatest Happiness Principle. – 3. Progress, Liberty, and Democracy. – 4. Equality. – 5. India and Empire. – 6. Distribution, Socialism, and Sustainability.
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  15. The Propagation of Suspension of Judgment.Aldo Filomeno - 2022 - Erkenntnis 89 (4):1327-1348.
    It is not uncommon in the history of science and philosophy to encounter crucial experiments or crucial objections the truth-value of which we are ignorant, that is, about which we suspend judgment. Should we ignore such objections? Contrary to widespread practice, I show that in and only in some circumstances they should not be ignored, for the epistemically rational doxastic attitude is to suspend judgment also about the hypothesis that the objection targets. In other words, suspension of judgment “propagates” from (...)
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  16. How bad is the postulation of a low entropy initial state of the universe?Aldo Filomeno - 2023 - Aphex 27:141-158.
    I summarize, in this informal interview, the main approaches to the ‘Past Hypothesis’, the postulation of a low-entropy initial state of the universe. I’ve chosen this as an open problem in the philosophical foundations of physics. I hope that this brief overview helps readers in gaining perspective and in appreciating the diverse range of approaches in this fascinating unresolved debate.
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  17. The Arguments of On Liberty: Mill's Institutional Designs.Piers Norris Turner - 2020 - Nineteenth-Century Prose 47 (1):121-156.
    This paper addresses the question of whether all that unites the main parts of John Stuart Mill’s On Liberty—the liberty principle, the defense of free discussion, the promotion of individuality, and the claims concerning individual competence about one’s own good—is a general concern with individual liberty, or whether we can say something more concrete about how they are related. I attempt to show that the arguments of On Liberty exemplify Mill’s institutional design approach set out in Considerations of Representative Government (...)
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  18. Mill, John Stuart.Piers Norris Turner - 2021 - In Stewart Goetz & Charles Taliaferro (eds.), Encyclopedia of the Philosophy of Religion. Hoboken, NJ: Wiley-Blackwell.
    This draft entry is a brief overview of John Stuart Mill's moral and political philosophy, with an emphasis on his views on religion, for the Encyclopedia of the Philosophy of Religion (Wiley-Blackwell).
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  19. Filosofía de la Física Estadística y la Termodinámica.Aldo Filomeno - forthcoming - Enciclopedia de la Sociedad Española de Filosofía Analítica.
    En esta entrada se mencionan las principales cuestiones en los fundamentos de la mecánica estadı́stica y la termodinámica, y las cuestiones filosóficas en las que repercuten estas áreas de la fı́sica. Al final se añaden lecturas recomendadas, enfatizando las traducidas al español.
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  20. On metaphysics’ independence from truthmaking. Or, Why Humean Supervenience is Compatible with the Growing Block Universe.Aldo Filomeno - 2021 - Erkenntnis 88 (4):1467-1480.
    This paper aims to support the claim that analytic metaphysics should be more cautious regarding the constraints that truthmaking considerations impose on metaphysical theories. To this end, I reply to Briggs and Forbes (2017), whoargue that certain truthmaking commitments are incurred by a Humean metaphysics and by the Growing-Block theory. First, I argue that Humean Supervenience does not need to endorse a standard version of truthmaker maximalism. This undermines Briggs and Forbes’s conclusion that Humean Supervenience and the Growing-Block theory are (...)
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  21. La scoperta di Marx/The Discovery of Marx.Pier Paolo Pasolini, Arianna Bove & Michael Hardt - 2009 - Diacritics 39 (4):131-133.
    Written in 1949, La Scoperta di Marx was first published in 1958 in Pier Paolo Pasolini, L'usignolo della Chiesa Cattolica (Editore Longanesi). It is published here, along the first English translation of the poem, with the permission of Garzanti Libri.
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  22. On Representing Information: A Characterization of the Analog/Digital Distinction.Aldo Frigerio, Alessandro Giordani & Luca Mari - 2013 - Dialectica 67 (4):455-483.
    The common account of the analog vs digital distinction is based on features of physical systems, being related to the usage of continuous vs discrete supports respectively. It is proposed here to alternatively characterize the concepts of analog and digital as related to coding systems, of which a formal definition is given, by suggesting that the distinction refers to the strategy adopted to define the coding function: extensional in digital systems, isomorphic intensional in analog systems. This thesis is supported by (...)
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  23. Abstract entities in a presentist world.Aldo Filomeno - 2016 - Metaphysica 17 (2):177-193.
    How can a metaphysics of abstract entities be built upon a metaphysics of time? In this paper, I address the question of how to accommodate abstract entities in a presentist world. I consider both the traditional metaontological approach of unrestricted fundamental quantification and then ontological pluralism. I argue that under the former we need to impose two constraints in the characterization of presentism in order to avoid undesired commitments to abstract entities: we have to characterize presentism as a thesis only (...)
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  24. Typicality of Dynamics and Laws of Nature.Aldo Filomeno - 2023 - In Cristián Soto (ed.), Current Debates in Philosophy of Science: In Honor of Roberto Torretti. Springer Verlag. pp. 391-418.
    Certain results, most famously in classical statistical mechanics and complex systems, but also in quantum mechanics and high-energy physics, yield a coarse-grained stable statistical pattern in the long run. The explanation of these results shares a common structure: the results hold for a ‘typical’ dynamics, that is, for most of the underlying dynamics. In this paper I argue that the structure of the explanation of these results might shed some light—a different light—on philosophical debates on the laws of nature. In (...)
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  25. The Environment Ontology: Contextualising biological and biomedical entities.Pier Luigi Buttigieg, Norman Morrison, Barry Smith, Christopher J. Mungall & Suzanna E. Lewis - 2013 - Journal of Biomedical Semantics 4 (43):1-9.
    As biological and biomedical research increasingly reference the environmental context of the biological entities under study, the need for formalisation and standardisation of environment descriptors is growing. The Environment Ontology (ENVO) is a community-led, open project which seeks to provide an ontology for specifying a wide range of environments relevant to multiple life science disciplines and, through an open participation model, to accommodate the terminological requirements of all those needing to annotate data using ontology classes. This paper summarises ENVO’s motivation, (...)
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  26.  65
    Mill's Evolutionary Theory of Justice: Reflections on Persky.Piers Norris Turner - 2020 - Utilitas 32 (2):131-146.
    Joseph Persky's excellent book, The Political Economy of Progress: John Stuart Mill and Modern Radicalism, shows that J. S. Mill's support for socialism is a carefully considered element of his political and economic reform agenda. The key thought underlying Persky's argument is that Mill has an ‘evolutionary theory of justice’, according to which the set of institutions and practices that are appropriate to one state of society should give way to a new set of institutions as circumstances change and the (...)
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  27. Introduction: Where Intelligibility Gives Out.Jens Pier - 2023 - In Limits of Intelligibility: Issues from Kant and Wittgenstein. London: Routledge.
    There is a confounding issue at the very heart of philosophical reflection. It is the question of where, and in what sense, the bounds of intelligible thought, knowledge, and speech are to be drawn. To inquire into these limits is to acknowledge that we are “finite thinking beings,” as Kant puts it. Indeed, one way of understanding our essentially problematic position in the world which leads us into philosophy is to view it as a position of being fated to the (...)
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  28.  85
    Eckart Förster, Grenzen der Erkenntnis? Untersuchungen zu Kant und dem Deutschen Idealismus, hrsg. v. Johannes Haag u. Bodo Beyer (=Spekulation und Erfahrung II,62), Stuttgart-Bad Cannstatt: Frommann-Holzboog 2022, 490 Seiten, ISBN 978-3-7728-2932-1. [REVIEW]Jens Pier - forthcoming - Philosophisches Jahrbuch.
    This volume assembles 18 of Eckart Förster’s most important essays, written between 1987 and 2022, all of which touch upon the theme of limits of cognition. Among the issues tackled are Kant’s Opus Postumum, Goethe’s project of a scientia intuitiva or science of the intuitive understanding, the significance of §§76–77 of the third Critique for post-Kantianism, the case for Hölderlin’s authorship of the Oldest System-Programme of German Idealism, and Hegel’s early ideas on logic and phenomenology. In this review, I discuss (...)
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  29. True Blame.Randolph Clarke & Piers Rawling - 2023 - Australasian Journal of Philosophy 101 (3):736-749.
    1. We sometimes angrily confront, pointedly ostracize, castigate, or denounce those whom we think have committed moral offences. Conduct of this kind may be called blaming behaviour. When genuine,...
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  30. Il concetto di "relazione" nella "Scienza della logica" di Hegel: prefazioni, introduzione, Libro primo.Aldo Stella - 1994 - Milano: Guerini E Associazioni.
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  31. La Relazione e Il Valore.Aldo Stella - 1995 - Milano, Italy: Guerini Scientifica.
    Il concetto di relazione è colto come concetto antinomico e il valore è la coscienza di questa antinomia.
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  32. Limits or Limitations? On a Bifurcation in Reading Wittgenstein’s Philosophical Investigations §§185–201.Jens Pier - 2022 - In Herbert Hrachovec & Jakub Mácha (eds.), Platonism. Contributions of the 43rd International Wittgenstein Symposium. ALWS.
    In Philosophical Investigations §§185–201, Wittgenstein addresses an oscillation in our thinking about the nature of rules. He seems to introduce a problem—how do we follow rules?—, and a “paradox” in which it is rooted, in order to find a solution to them; only to then call the whole puzzle a “misunderstanding” after all. My contention is that this apparent friction can best be understood and resolved when we view it in light of Wittgenstein’s engagement with limits and limitations, and how (...)
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  33. Engaged Solidaristic Research: Developing Methodological and Normative Principles for Political Philosophers.Marie-Pier Lemay - 2023 - Feminist Philosophy Quarterly 9 (4).
    Reshaping our methodological research tools for adequately capturing injustice and domination has been a central aspiration of feminist philosophy and social epistemology in recent years. There has been an increasingly empirical turn in recent feminist and political theorization, engaging with case studies and the challenges arising from conducting research in solidarity with unequal partners. I argue that these challenges cannot be resolved by merely adopting a norm and stance of deference to those in the struggle for justice. To conduct philosophical (...)
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  34. Reason to Feel Guilty.Randolph Clarke & Piers Rawling - 2022 - In Andreas Carlsson (ed.), Self-Blame and Moral Responsibility. New York, USA: Cambridge University Press. pp. 217-36.
    Let F be a fact in virtue of which an agent, S, is blameworthy for performing an act of A-ing. We advance a slightly qualified version of the following thesis: -/- (Reason) F is (at some time) a reason for S to feel guilty (to some extent) for A-ing. -/- Leaving implicit the qualification concerning extent, we claim as well: -/- (Desert) S's having this reason suffices for S’s deserving to feel guilty for A-ing. -/- We also advance a third (...)
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  35. Il concetto di provvidenza nella filosofia ellenistica e la sua ricezione in ambito biblico-cristiano.Aldo Magris - 2022 - Segni E Comprensione 36 (103):32-57.
    The notion of Providence is born with the Greek word prόnoia which, however, originally meant "premeditation" (of a crime) or "design" of an artefact, and had nothing to do with religion. It was Plato in the Timaeus who adopted the word from the common language to indicate the rational and benevolent principle that inspired the anonymous God, which he defined as dēmiourgόs (also this word originally meant a professional technician, for example, a doctor or an architect) in his work of (...)
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  36. Surviving the System: Justice and Ambiguity in the Aftermath of Sexual Violence.Marie-Pier Lemay - 2023 - Apa Newsletter on Feminism and Philosophy 23 (1).
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  37. Retro-Closure Principle and Omniscience.Ciro De Florio & Frigerio Aldo - 2023 - Dialectica 77 (3):1-28.
    Todd and Rabern (2021) have argued that if we assume that future contingents are untrue and if we accept the Retro-closure principle (???? → PF(????)), then the existence of a temporal omniscient entity becomes metaphysically impossible. Since the truth of a metaphysical and theological theory should not be dependent on questions of temporal semantics, Todd and Rabern conclude that, if one wishes to maintain that future contingents are untrue, one must abandon the Retro-closure principle. The aim of this paper is (...)
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  38. God, Evil, and Alvin Plantinga on the Free-Will Defense.Ciro De Florio & Aldo Frigerio - 2013 - European Journal for Philosophy of Religion 5 (3):75--94.
    In this paper we will give a critical account of Plantinga’s well-known argument to the effect that the existence of an omnipotent and morally perfect God is consistent with the actual presence of evil. After presenting Plantinga’s view, we critically discuss both the idea of divine knowledge of conditionals of freedom and the concept of transworld depravity. Then, we will sketch our own version of the Free-Will Defence, which maintains that moral evil depends on the misuse of human freedom. However, (...)
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  39. A Conceptualist View in the Metaphysics of Species.Ciro De Florio & Aldo Frigerio - 2019 - In Richard Davies (ed.), Natural and Artifactual Objects in Contemporary Metaphysics: Exercises in Analytic Ontology. New York, NY: Bloomsbury Academic. pp. 121-139.
    The species concept is one of the central concepts in biological science. Although modern systematics speculates about the existence of a complex hierarchy of nested taxa, biological species are considered particularly important for the active role they play in evolution. However, neither theoretical biologists nor philosophers of biology have come to an agreement about what a species is. In this chapter, we address two questions pertaining to biological species: (1) are they individuals or universals? and (2) are they bona fide (...)
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  40. A Note on Eternity.Ciro De Florio & Aldo Frigerio - 2017 - Topoi 36 (4):685-692.
    The timeless solution to the problem of divine foreknowledge and human freedom has many advantages. Still, the relationship between a timeless God and temporal beings is problematic in a number of ways. In this paper, we focus on the specific problems the timeless view has to deal with when certain assumptions on the metaphysics of time are taken on board. It is shown that on static conception of time God’s omniscience is easily accounted for, but human freedom is threatened, while (...)
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  41. Inconcistency of ℕ from a not-finitist point of view.Enrico Pier Giorgio Cadeddu - 2023 - International Journal of Modern Research in Engineering and Technology 8 (10):2.
    Considering the set of natural numbers ℕ, then in the context of Peano axioms, starting from inequalities between finite sets, we find a fundamental contradiction, about the existence of ℕ, from a not-finitist point of view.
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  42. Contours of the Practical.David Mcnaughton & Piers Rawling - 2013 - In David Bakhurst, Margaret Olivia Little & Brad Hooker (eds.), Thinking about reasons: themes from the philosophy of Jonathan Dancy. Oxford, United Kingdom: Oxford University Press. pp. 240.
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  43. Recensione di Michael Strevens' "Bigger than chaos. Understanding complexity through probability". [REVIEW]Aldo Filomeno - 2014 - Aphex 10.
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  44. L’approche des capabilités de Martha Nussbaum face aux enjeux multiculturels des sociétés libérales occidentales.Marie-Pier Lemay - 2015 - Ithaque 16:77 - 100.
    Se situant au confluent du libéralisme politique rawlsien et de l’anthropologie néoaristotélicienne, l’approche des capabilités de Martha Nussbaum offre un cadre théorique permettant de répondre aux tensions multiculturelles. Cet article constitue une analyse détaillée de la réponse de Nussbaum à ces enjeux, qui prétend unir un pluralisme axiologique à un universalisme moral fort. Nous avancerons que la démarche entreprise par la philosophe porte une tension entre le libéralisme politique rawlsien et le cadre conceptuel apporté par la liste des capabilités. Cette (...)
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  45. Theoretical necessity of the Accelerating Universe.Enrico Pier Giorgio Cadeddu - manuscript
    We obtain that Universe space has to be flat, but also, at the same time, it has to be finite, homogeneous (on global scale) and isotropic. So rays of light can be observed moving along parallel trajectories in an expanding finite hypersphere. We show this implies an accelerated expansion of the Universe. Considering the energy conservation problem, also we argue about the necessity of matter-antimatter asymmetry.
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  46. Logical necessity of Quantum Mechanics.Enrico Pier Giorgio Cadeddu - 2023 - Journal of Modern and Applied Physics 6 (2):1-4.
    From classical mechanics, in particular the motion in a straight line, together set theory and ordinal number theory, we prove a not-classical behaviour, a discontinuous motion and emission.
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  47. Life on the Range.G. Aldo Antonelli - 2015 - In Alessandro Torza (ed.), Quantifiers, Quantifiers, and Quantifiers. Themes in Logic, Metaphysics, and Language. (Synthese Library vol. 373). Springer. pp. 171-189.
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  48.  77
    Phenomenological turn. Introduzione alla Fenomenologia della Persona.Simone Aldo Santamato - 2024 - Mimesis Scenari.
    In this paper, I draw the fundamental structures of the phenomenology of the person, on the basis of a precise theoretical assumption: to introduce to phenomenology of the person is to introduce to the eidetic phenomenology. So, my paper explores the fundamental questions of the Husserlian phenomenology, and traces a path towards the contemporary questions of the phenomenology of the person: what is a person in the era of social networks and liquid society?
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  49. Inconsistency of ℕ with the set union operation.Enrico Pier Giorgio Cadeddu - manuscript
    A contradiction is obtained, considering the axiom of infinity, then ℕ and Peano axioms, together a list of ℕ subsets and with inclusion relation and union operation. Natural numbers constitute an infinite set, ℕ, but we show the union of its proper subsets, with a specific form, isn’t an infinite set. Also we get a simpler explanation and a symbolic representation. Lastly, inconsistency of Peano successor axiom is a consequence of rejecting infinity.
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  50. Inconsistency of ℕ and the question of infinity.Enrico Pier Giorgio Cadeddu - manuscript
    In the article ”Inconsistency of N from a not-finitist point of view” we have shown the inconsistency of N, going through a denial. Here we delete this indirect step and essentially repeat the same proof. Contextually we find a contradiction about natural number definition. Then we discuss around the rejection of infinity.
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