Results for 'Luca Tranchini'

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  1.  17
    Harmony and Paradox: Intensional Aspects of Proof-Theoretic Semantics.Luca Tranchini - 2024 - Springer Verlag.
    This open access book investigates the role played by identity of proofs in proof-theoretic semantics. It develops a conception of proof-theoretic semantics as primarily concerned with the relationship between proofs (understood as abstract entities) and derivations (the linguistic representations of proofs). It demonstrates that identity of proof is a key both to clarify some —still not wholly understood— notions at the core of proof-theoretic semantics, such as harmony; and to broaden the range of the phenomena which can be analyzed using (...)
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  2.  66
    Proof-theoretic semantics, paradoxes and the distinction between sense and denotation.Luca Tranchini - forthcoming - Journal of Logic and Computation 2014.
    In this paper we show how Dummett-Prawitz-style proof-theoretic semantics has to be modified in order to cope with paradoxical phenomena. It will turn out that one of its basic tenets has to be given up, namely the definition of the correctness of an inference as validity preservation. As a result, the notions of an argument being valid and of an argument being constituted by correct inference rules will no more coincide. The gap between the two notions is accounted for by (...)
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  3.  41
    Proof, Meaning and Paradox: Some Remarks.Luca Tranchini - 2019 - Topoi 38 (3):591-603.
    In the present paper, the Fregean conception of proof-theoretic semantics that I developed elsewhere will be revised so as to better reflect the different roles played by open and closed derivations. I will argue that such a conception can deliver a semantic analysis of languages containing paradoxical expressions provided some of its basic tenets are liberalized. In particular, the notion of function underlying the Brouwer–Heyting–Kolmogorov explanation of implication should be understood as admitting functions to be partial. As argued in previous (...)
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  4.  52
    Proof-theoretic harmony: towards an intensional account.Luca Tranchini - 2016 - Synthese 198 (Suppl 5):1145-1176.
    In this paper we argue that an account of proof-theoretic harmony based on reductions and expansions delivers an inferentialist picture of meaning which should be regarded as intensional, as opposed to other approaches to harmony that will be dubbed extensional. We show how the intensional account applies to any connective whose rules obey the inversion principle first proposed by Prawitz and Schroeder-Heister. In particular, by improving previous formulations of expansions, we solve a problem with quantum-disjunction first posed by Dummett. As (...)
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  5.  43
    The Naturality of Natural Deduction.Luca Tranchini, Paolo Pistone & Mattia Petrolo - 2019 - Studia Logica 107 (1):195-231.
    Developing a suggestion by Russell, Prawitz showed how the usual natural deduction inference rules for disjunction, conjunction and absurdity can be derived using those for implication and the second order quantifier in propositional intuitionistic second order logic NI\. It is however well known that the translation does not preserve the relations of identity among derivations induced by the permutative conversions and immediate expansions for the definable connectives, at least when the equational theory of NI\ is assumed to consist only of (...)
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  6.  83
    Natural Deduction for Dual-intuitionistic Logic.Luca Tranchini - 2012 - Studia Logica 100 (3):631-648.
    We present a natural deduction system for dual-intuitionistic logic. Its distinctive feature is that it is a single-premise multiple-conclusions system. Its relationships with the natural deduction systems for intuitionistic and classical logic are discussed.
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  7.  28
    Harmonising harmony.Luca Tranchini - 2015 - Review of Symbolic Logic 8 (3):411-423.
  8.  33
    Proof and truth: an anti-realist perspective.Luca Tranchini - 2013 - Pisa: Edizioni ETS. Edited by Luca Tranchini.
    In the first chapter, we discuss Dummett’s idea that the notion of truth arises from the one of the correctness of an assertion. We argue that, in a first-order language, the need of defining truth in terms of the notion of satisfaction, which is yielded by the presence of quantifiers, is structurally analogous to the need of a notion of truth as distinct from the one of correctness of an assertion. In the light of the analogy between predicates in Frege (...)
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  9.  86
    Truth from a Proof-Theoretic Perspective.Luca Tranchini - 2012 - Topoi 31 (1):47-57.
    Validity, the central concept of the so-called ‘proof-theoretic semantics’ is described as correctly applying to the arguments that denote proofs. In terms of validity, I propose an anti-realist characterization of the notions of truth and correct assertion, at the core of which is the idea that valid arguments may fail to be recognized as such. The proposed account is compared with Dummett’s and Prawitz’s views on the matter.
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  10.  40
    Stabilizing Quantum Disjunction.Luca Tranchini - 2018 - Journal of Philosophical Logic 47 (6):1029-1047.
    Since the appearance of Prior’s tonk, inferentialists tried to formulate conditions that a collection of inference rules for a logical constant has to satisfy in order to succeed in conferring an acceptable meaning to it. Dummett proposed a pair of conditions, dubbed ‘harmony’ and ‘stability’ that have been cashed out in terms of the existence of certain transformations on natural deduction derivations called reductions and expansions. A long standing open problem for this proposal is posed by quantum disjunction: although its (...)
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  11.  37
    Ekman’s Paradox.Peter Schroeder-Heister & Luca Tranchini - 2017 - Notre Dame Journal of Formal Logic 58 (4):567-581.
    Prawitz observed that Russell’s paradox in naive set theory yields a derivation of absurdity whose reduction sequence loops. Building on this observation, and based on numerous examples, Tennant claimed that this looping feature, or more generally, the fact that derivations of absurdity do not normalize, is characteristic of the paradoxes. Striking results by Ekman show that looping reduction sequences are already obtained in minimal propositional logic, when certain reduction steps, which are prima facie plausible, are considered in addition to the (...)
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  12.  60
    Natural deduction for bi-intuitionistic logic.Luca Tranchini - 2017 - Journal of Applied Logic 25:S72-S96.
    We present a multiple-assumption multiple-conclusion system for bi-intuitionistic logic. Derivations in the systems are graphs whose edges are labelled by formulas and whose nodes are labelled by rules. We show how to embed both the standard intuitionistic and dual-intuitionistic natural deduction systems into the proposed system. Soundness and completeness are established using translations with more traditional sequent calculi for bi-intuitionistic logic.
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  13.  35
    How to Ekman a Crabbé-Tennant.Peter Schroeder-Heister & Luca Tranchini - 2018 - Synthese 199 (Suppl 3):617-639.
    Developing early results of Prawitz, Tennant proposed a criterion for an expression to count as a paradox in the framework of Gentzen’s natural deduction: paradoxical expressions give rise to non-normalizing derivations. Two distinct kinds of cases, going back to Crabbé and Tennant, show that the criterion overgenerates, that is, there are derivations which are intuitively non-paradoxical but which fail to normalize. Tennant’s proposed solution consists in reformulating natural deduction elimination rules in general form. Developing intuitions of Ekman we show that (...)
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  14.  6
    Intensional Harmony as Isomorphism.Paolo Pistone & Luca Tranchini - 2024 - In Thomas Piecha & Kai F. Wehmeier (eds.), Peter Schroeder-Heister on Proof-Theoretic Semantics. Springer. pp. 315-337.
    In the present paper we discuss a recent suggestion of Schroeder-Heister concerning the possibility of defining an intensional notion of harmony using isomorphism in second-order propositional logic. The latter is not an absolute notion, but its definition is relative to the choice of criteria for identity of proofs. In the paper, it is argued that in order to attain a satisfactory account of harmony, one has to consider a notion of identity stronger than the usual one (based on β- and (...)
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  15.  47
    Anti-realistic Notions of Truth.Luca Tranchini - 2012 - Topoi 31 (1):5-8.
    Validity, the central concept of the so-called ‘proof-theoretic semantics’ is described as correctly applying to the arguments that denote proofs. In terms of validity, I propose an anti-realist characterization of the notions of truth and correct assertion, at the core of which is the idea that valid arguments may fail to be recognized as such. The proposed account is compared with Dummett’s and Prawitz’s views on the matter.
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  16.  15
    Truth: an anti-realist adequacy condition.Luca Tranchini - 2010 - In Piotr Stalmaszczyk (ed.), Objects of Inquiry in Philosophy of Language and Linguistics. Ontos Verlag. pp. 347.
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  17.  2
    Truth: An Anti-realist Adequacy Condition.Luca Tranchini - 2010 - In Piotr Stalmaszczyk (ed.), Philosophy of Language and Linguistics: Volume I: The Formal Turn; Volume II: The Philosophical Turn. De Gruyter. pp. 347-362.
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  18.  25
    The Naturality of Natural Deduction (II): On Atomic Polymorphism and Generalized Propositional Connectives.Paolo Pistone, Luca Tranchini & Mattia Petrolo - 2021 - Studia Logica 110 (2):545-592.
    In a previous paper we investigated the extraction of proof-theoretic properties of natural deduction derivations from their impredicative translation into System F. Our key idea was to introduce an extended equational theory for System F codifying at a syntactic level some properties found in parametric models of polymorphic type theory. A different approach to extract proof-theoretic properties of natural deduction derivations was proposed in a recent series of papers on the basis of an embedding of intuitionistic propositional logic into a (...)
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  19.  89
    Supervaluationism, Subvaluationism and the Sorites Paradox.Pablo Cobreros & Luca Tranchini - 2019 - In Sergi Oms & Elia Zardini (eds.), The Sorites Paradox. New York, NY: Cambridge University Press. pp. 38-62.
    One way in which we might approach the challenge posed by the Sorites Paradox is considering that Sorites-susceptible predicates have several candidate extensions, or several ways in which these expressions can be made precise. For example, a candidate extension for the predicate ‘is a baby’ is the set of humans of less than two years, but also the set of those less than two years and one second, and of those less than two years and two seconds. In this chapter (...)
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  20. Supervaluationism: Truth, Value and Degree Functionality.Pablo Cobreros & Luca Tranchini - 2014 - Thought: A Journal of Philosophy 3 (2):136-144.
    This article deals with supervaluationism and the failure of truth-functionality. It draws some distinctions that may contribute to a better understanding of this semantic framework.
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  21. (I can’t get no) antisatisfaction.Pablo Cobreros, Elio La Rosa & Luca Tranchini - 2020 - Synthese 198 (9):8251-8265.
    Substructural approaches to paradoxes have attracted much attention from the philosophical community in the last decade. In this paper we focus on two substructural logics, named ST and TS, along with two structural cousins, LP and K3. It is well known that LP and K3 are duals in the sense that an inference is valid in one logic just in case the contrapositive is valid in the other logic. As a consequence of this duality, theories based on either logic are (...)
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  22.  37
    Higher-level Inferences in the Strong-Kleene Setting: A Proof-theoretic Approach.Pablo Cobreros, Elio La Rosa & Luca Tranchini - 2021 - Journal of Philosophical Logic 51 (6):1417-1452.
    Building on early work by Girard ( 1987 ) and using closely related techniques from the proof theory of many-valued logics, we propose a sequent calculus capturing a hierarchy of notions of satisfaction based on the Strong Kleene matrices introduced by Barrio et al. (Journal of Philosophical Logic 49:93–120, 2020 ) and others. The calculus allows one to establish and generalize in a very natural manner several recent results, such as the coincidence of some of these notions with their classical (...)
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  23. Epistemologia (o della Conoscenza).Luca Moretti & Tommaso Piazza - 2023 - In Tiziana Andina & Gregorio Fracchia (eds.), Filosofia Contemporanea. Roma: Carocci. pp. 63-99. Translated by Tiziana Andina & Gregorio Fracchia.
    L’epistemologia (detta anche filosofia della conoscenza o gnoseologia) è la disciplina filosofica che studia come gli esseri umani si rapportano da un punto di vista cognitivo alla realtà che li circonda. Le questioni fondamentali che la interessano sono principalmente di natura normativa. Riguardano il modo in cui dovremmo regolare le nostre credenze alla luce dell’informazione in nostro possesso, e la natura della conoscenza umana ed i suoi limiti. Questo capitolo è organizzato in modo corrispondente. La prima sezione tratta della nozione (...)
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  24.  55
    Conceptions of Set and the Foundations of Mathematics.Luca Incurvati - 2020 - Cambridge University Press.
    Sets are central to mathematics and its foundations, but what are they? In this book Luca Incurvati provides a detailed examination of all the major conceptions of set and discusses their virtues and shortcomings, as well as introducing the fundamentals of the alternative set theories with which these conceptions are associated. He shows that the conceptual landscape includes not only the naïve and iterative conceptions but also the limitation of size conception, the definite conception, the stratified conception and the (...)
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  25. Phenomenal Conservatism.Luca Moretti - 2015 - Analysis 75 (2):296-309.
    I review recent work on Phenomenal Conservatism, the position introduced by Michael Huemer according to which if it seems that P to a subject S, in the absence of defeaters S has thereby some degree of justification for believing P.
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  26. Can I Only Intend My Own Actions?Luca Ferrero - 2013 - In David Shoemaker (ed.), Oxford studies in agency and responsibility. Oxford: Oxford University Press. pp. (1) 70-94.
    In this paper, I argue against the popular philosophical thesis---aka the ‘own action condition’---that an agent can only intend one’s own actions. I argue that the own action condition does not hold for any executive attitude, intentions included. The proper object of intentions is propositional rather than agential (‘I intend that so-and-so be the case’ rather than ‘I intend to do such-and-such’). I show that, although there are some essential de se components in intending, they do not restrict the content (...)
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  27. The Evolution of Denial.Luca Incurvati & Giorgio Sbardolini - forthcoming - British Journal for the Philosophy of Science.
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  28.  2
    La verità umana nel pensiero religioso di Sergio Quinzio.Luca Grecchi - 2004 - Pistoia: Petite plaisance.
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  29. When warrant transmits and when it doesn’t: towards a general framework.Luca Moretti & Tommaso Piazza - 2013 - Synthese 190 (13):2481-2503.
    In this paper we focus on transmission and failure of transmission of warrant. We identify three individually necessary and jointly sufficient conditions for transmission of warrant, and we show that their satisfaction grounds a number of interesting epistemic phenomena that have not been sufficiently appreciated in the literature. We then scrutinise Wright’s analysis of transmission failure and improve on extant readings of it. Nonetheless, we present a Bayesian counterexample that shows that Wright’s analysis is partially incoherent with our analysis of (...)
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  30. Inferential seemings and the problem of reflective awareness.Luca Moretti - 2019 - Canadian Journal of Philosophy 49 (2):253-271.
    Phenomenal conservatism (PC) is the internalist view that non-inferential justification rests on appearances. PC’s advocates have recently argued that seemings are also required to explain inferential justification. The most general and developed view to this effect is Huemer (2016)’s theory of inferential seemings (ToIS). Moretti (2018) has shown that PC is affected by the problem of reflective awareness, which makes PC open to sceptical challenges. In this paper I argue that ToIS is afflicted by a version of the same problem (...)
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  31. Entitlement, epistemic risk and scepticism.Luca Moretti - 2021 - Episteme 18 (4):576-586.
    Crispin Wright maintains that the architecture of perceptual justification is such that we can acquire justification for our perceptual beliefs only if we have antecedent justification for ruling out any sceptical alternative. Wright contends that this principle doesn’t elicit scepticism, for we are non-evidentially entitled to accept the negation of any sceptical alternative. Sebastiano Moruzzi has challenged Wright’s contention by arguing that since our non-evidential entitlements don’t remove the epistemic risk of our perceptual beliefs, they don’t actually enable us to (...)
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  32.  28
    The Monstrous Conclusion.Luca Stroppa - forthcoming - Synthese.
    This paper introduces the Monstrous Conclusion, according to which, for any population, there is a better population consisting of just one individual (the Monster). The Monstrous Conclusion is deeply counterintuitive. I defend a version of Prioritarianism as a particularly promising population axiology that does not imply the Monstrous Conclusion. According to this version of Prioritarianism, which I call Asymptotic Prioritarianism, there is diminishing marginal moral importance of individual welfare that can get close to, but never quite reach, some upper limit. (...)
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  33.  4
    Uomo.Luca Grecchi - 2019 - Milano: Edizioni Unicopli.
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  34.  14
    Hegel, Heidegger e la questione della romanitas: atti del Convegno, Verona, 16-17 maggio 2003.Luca Illetterati & Antonio Moretto (eds.) - 2004 - Roma: Edizioni di storia e letteratura.
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  35.  10
    Maintaining borders: From border guards to diplomats: Erratum to.Luca Tateo, Giuseppina Marsico & Alicia Espanol - 2019 - Human Affairs 29 (1):108-126.
    The article aims at integrating the cultural psychology perspective of into the multidisciplinary field of border studies. It analyses the border phenomenon as a co-genetic system. The authors investigate the psychological side of people who relate to the border out of different motives. Then, it expands some of the theoretical concepts current in border studies by introducing psychological dimensions such as intentionality and directionality. Finally, the framework is applied to two case-studies representing the northern and southern European Union frontiers: the (...)
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  36. .Luca Incurvati & Julian J. Schlöder - 2023 - New York: Oxford University Press USA.
  37. Problems for Wright's entitlement theory.Luca Moretti - 2021 - In Luca Moretti & Nikolaj Jang Lee Linding Pedersen (eds.), Non-Evidentialist Epistemology. Leiden: Brill. pp. 121-138.
    Crispin Wright’s entitlement theory holds that we have non-evidential justification for accepting propositions of a general type––which Wright calls “cornerstones”––that enables us to acquire justification for believing other propositions––those that we take to be true on the grounds of ordinary evidence. Entitlement theory is meant by Wright to deliver a forceful response to the sceptic who argues that we cannot justify ordinary beliefs. I initially focus on strategic entitlement, which is one of the types of entitlement that Wright has described (...)
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  38.  65
    The Incommensurability of Styles of Reasoning: The Case of the Existence of Theoretical Entities.Luca Sciortino - 2023 - In History of Rationalities: Ways of Thinking from Vico to Hacking and Beyond. New York: Palgrave Macmillan. pp. 271-302.
    In this chapter I shall address the question as to whether there exists a universal and atemporal justification for the claims made by a community that adopts a particular style of reasoning. I shall present a case study in which a claim made in the laboratory style of reasoning has no universal and atemporal justification. As I shall explain, Hacking justifies his belief that unobservable entities exist on the ground that they can be regularly manipulated by experimenters in order to (...)
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  39. Global Scepticism, Underdetermination and Metaphysical Possibility.Luca Moretti - 2014 - Erkenntnis 79 (2):381-403.
    I focus on a key argument for global external world scepticism resting on the underdetermination thesis: the argument according to which we cannot know any proposition about our physical environment because sense evidence for it equally justifies some sceptical alternative (e.g. the Cartesian demon conjecture). I contend that the underdetermination argument can go through only if the controversial thesis that conceivability is per se a source of evidence for metaphysical possibility is true. I also suggest a reason to doubt that (...)
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  40. The many ways of the basing relation.Luca Moretti & Tommaso Piazza - 2019 - In Joseph Adam Carter & Patrick Bondy (eds.), Well Founded Belief: New Essays on the Epistemic Basing Relation. London: Routledge.
    A subject S's belief that Q is well-grounded if and only if it is based on a reason of S that gives S propositional justification for Q. Depending on the nature of S's reason, the process whereby S bases her belief that Q on it can vary. If S's reason is non-doxastic––like an experience that Q or a testimony that Q––S will need to form the belief that Q as a spontaneous and immediate response to that reason. If S's reason (...)
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  41.  6
    Revisiting the Authorship of [Arist.] περὶ πνεύματος: The Case for Theophrastus.Luca Torrente - 2024 - Apeiron 57 (2):265-288.
    In this article, I claim that the treatise known as περὶ πνεύματος/De spiritu (481a-486b Bekker) was written by Theophrastus. My overall argument unfolds in three stages: first, I briefly summarize the arguments against De spiritu’s authenticity in Aristotle’s corpus. This summary will lead to my first argument which uses the very same reasons that prove the non-Aristotelian authorship to claim the Theophrastean one, in particular linguistic aspects of the text (§2). Next, I will focus on chronology, by discussing the mention (...)
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  42. Inferential Deflationism.Luca Incurvati & Julian J. Schlöder - forthcoming - The Philosophical Review.
    Deflationists about truth hold that the function of the truth predicate is to enable us to make certain assertions we could not otherwise make. Pragmatists claim that the utility of negation lies in its role in registering incompatibility. The pragmatist insight about negation has been successfully incorporated into bilateral theories of content, which take the meaning of negation to be inferentially explained in terms of the speech act of rejection. We implement the deflationist insight in a bilateral theory by taking (...)
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  43.  46
    Si l’action est comme le texte. La fondation du social et le principe d’analogie chez Ricœur.Luca M. Possati - 2013 - Dialogue 52 (3):477-490.
    This paper reformulates the analogy between text and action in Paul Ricœur’s philosophy. My hypothesis is that such a reformulation better contextualizes the tensions in Ricœur’s practical philosophy, specifically between the social and the institutional. The aim is to show that Ricœur’s philosophy is tensional because it’s based on the principle of analogy. In order to think about this tension, we must grasp its true horizon: the analogy of text and action. After outlining this analogy’s genesis, we will see that (...)
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  44.  6
    Plant Ethics and Climate Change.Luca Stroppa - 2023 - In Pellegrino Gianfranco & Marcello Di Paola (eds.), Handbook of Philosophy of Climate Change. Springer Nature. pp. 899-917.
    Plant ethics is a field of philosophy that discusses the moral value of plants, and individual responsibilities toward them. As anthropogenic climate change is likely to have devastating effects on plants, a plant ethics analysis of climate change is crucial to fully understand the extent of people’s responsibilities toward plants. However, surprisingly little has been written on this topic. This chapter aims to provide an overview of the main positions in plant ethics as well as an initial exploration of the (...)
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  45.  3
    Yohann Douet, L’hégémonie et la révolution. Gramsci, penseur politique.Marie Lucas - forthcoming - Astérion.
    « Les Cahiers de prison ne sont pas un manuel contenant des recettes stratégiques prêtes à l’emploi » (p. 296). Ces mots de conclusion ne signifient pas que Yohann Douet cherche à arracher Gramsci à ses interprètes militants. Bien au contraire, il souhaite le leur rendre dans toute son originalité et son épaisseur. Pour cela, il entame un ample dialogue avec les lieux communs qui ont cours aujourd’hui. Loin d’opposer les usages courants à la discipline savante, il cherche, au fil (...)
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  46.  4
    Verità, simbolo, libertà: studi sul pensiero di Luigi Pareyson.Luca Ghisleri - 2020 - Milano: Mimesis.
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  47.  83
    Truth and provability.John Lucas & Michael Redhead - 2007 - British Journal for the Philosophy of Science 58 (2):331-2.
    The views of Redhead ([2004]) are defended against the argument by Panu Raatikainen ([2005]). The importance of informal rigour is canvassed, and the argument for the a priori nature of induction is explained. The significance of Gödel's theorem is again rehearsed.
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  48.  13
    Protágoras: aparecer y ser en el marco de la praxis política.Lucas Manuel Álvarez - 2020 - Revista de Filosofía 45 (2):357-374.
    En el presente trabajo intentaremos poner en evidencia un singular enfoque sobre la pólis ateniense ofrecido por Protágoras en el diálogo platónico que lleva su nombre. Dicho enfoque, soslayado por los intérpretes, hace hincapié en la dimensión visual de la praxis política de los ciudadanos y es coherente con los posicionamientos ontológicos que emergen de los fragmentos del sofista.
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  49. The Failure of Competence-Based Education and the Demand for Bildung.Luca Moretti & Alessia Marabini - forthcoming - London: Bloomsbury.
    In this monograph we contrast two prominent models of education, Competence-Based Education (CBE), more recent and currently dominant in most school systems of the world, and Bildung-Oriented Education (BOE), once the basis of school systems of Northern Europe. CBE interprets learning as the acquisition of clearly definable and allegedly measurable competences, and is supported by supranational organisations, such as the OECD, which approach education from the perspective of the human capital theory. BOE instead characterises learning holistically as aimed at the (...)
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  50.  3
    Verso un nuovo realismo: osservazioni sulla stabilità tra estetica e metafisica.Luca Taddio - 2013 - Milano: Jouvence.
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