Results for 'Gabriel Catren'

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  1. Geometric foundations of classical yang–mills theory.Gabriel Catren - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (3):511-531.
    We analyze the geometric foundations of classical Yang-Mills theory by studying the relationships between internal relativity, locality, global/local invariance, and background independence. We argue that internal relativity and background independence are the two independent defining principles of Yang-Mills theory. We show that local gauge invariance -heuristically implemented by means of the gauge argument- is a direct consequence of internal relativity. Finally, we analyze the conceptual meaning of BRST symmetry in terms of the invariance of the gauge fixed theory under general (...)
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  2. On Classical and Quantum Objectivity.Gabriel Catren - 2008 - Foundations of Physics 38 (5):470-487.
    We propose a conceptual framework for understanding the relationship between observables and operators in mechanics. To do so, we introduce a postulate that establishes a correspondence between the objective properties permitting to identify physical states and the symmetry transformations that modify their gauge dependant properties. We show that the uncertainty principle results from a faithful—or equivariant—realization of this correspondence. It is a consequence of the proposed postulate that the quantum notion of objective physical states is not incomplete, but rather that (...)
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  3. A Throw of the Quantum Dice Will Never Abolish the Copernican Revolution.Gabriel Catren - 2009 - Collapse: Philosophical Research and Development 5.
  4.  34
    Klein-Weyl's program and the ontology of gauge and quantum systems.Gabriel Catren - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 61:25-40.
  5.  28
    Quantum Ontology in the Light of Gauge Theories.Gabriel Catren - unknown
    We propose the conjecture according to which the fact that quantum mechanics does not admit sharp value attributions to both members of a complementary pair of observables can be understood in the light of the symplectic reduction of phase space in constrained Hamiltonian systems. In order to unpack this claim, we propose a quantum ontology based on two independent postulates, namely the phase postulate and the quantum postulate. The phase postulate generalizes the gauge correspondence between first-class constraints and gauge transformations (...)
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  6.  99
    On the Relation Between Gauge and Phase Symmetries.Gabriel Catren - 2014 - Foundations of Physics 44 (12):1317-1335.
    We propose a group-theoretical interpretation of the fact that the transition from classical to quantum mechanics entails a reduction in the number of observables needed to define a physical state and \ to \ or \ in the simplest case). We argue that, in analogy to gauge theories, such a reduction results from the action of a symmetry group. To do so, we propose a conceptual analysis of formal tools coming from symplectic geometry and group representation theory, notably Souriau’s moment (...)
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  7.  51
    On the notions of indiscernibility and indeterminacy in the light of the Galois–Grothendieck theory.Gabriel Catren & Julien Page - 2014 - Synthese 191 (18):4377-4408.
    We analyze the notions of indiscernibility and indeterminacy in the light of the Galois theory of field extensions and the generalization to \(K\) -algebras proposed by Grothendieck. Grothendieck’s reformulation of Galois theory permits to recast the Galois correspondence between symmetry groups and invariants as a Galois–Grothendieck duality between \(G\) -spaces and the minimal observable algebras that discern (or separate) their points. According to the natural epistemic interpretation of the original Galois theory, the possible \(K\) -indiscernibilities between the roots of a (...)
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  8.  65
    Can classical description of physical reality be considered complete?Gabriel Catren - unknown
    We propose a definition of physical objects that aims to clarify some interpretational issues in quantum mechanics. We claim that the transformations generated by the objective properties of a physical system must be strictly interpreted as gauge transformations. We will argue that the uncertainty principle is a consequence of the mutual intertwining between objective properties and gauge-dependant properties. The proposed definition implies that in classical mechanics gauge-dependant properties are wrongly considered objective. We will conclude that, unlike classical mechanics, quantum mechanics (...)
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  9. Identity, Individuality and Indistinguishability in Physics and Mathematics.Gabriel Catren & Federico Holik (eds.) - 2023 - London: Philosophical Transactions Of The Royal Society A.
    Can there be two things that are completely indistinguishable? This simple question has raised numerous debates throughout the history of philosophy and science. The principle of the identity of indiscernibles claims that no two things can be completely indiscernible. But this thesis has been challenged in quantum physics and continues to be a hot topic in cutting edge areas of mathematics. The question has gained a renewed interest with the possibility of harnessing indistinguishability as a resource in quantum information tasks. (...)
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  10.  69
    Outland Empire: Prolegomena to Speculative Absolutism.Gabriel Catren - 2011 - In Levi R. Bryant, Nick Srnicek & Graham Harman (eds.), The Speculative Turn: Continental Materialism and Realism. re.press.
  11.  33
    On the notion of indiscernibility in the light of Galois-Grothendieck Theory.Gabriel Catren & Julien Page - unknown
    We analyze the notion of indiscernibility in the light of the Galois theory of field extensions and the generalization to K-algebras proposed by Grothendieck. Grothendieck's reformulation of Galois theory permits to recast the Galois correspondence between symmetry groups and invariants as a duality between G-spaces and the minimal observable algebras that separate theirs points. In order to address the Galoisian notion of indiscernibility, we propose what we call an epistemic reading of the Galois-Grothendieck theory. According to this viewpoint, the Galoisian (...)
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  12.  30
    Towards a Group-Theoretical Interpretation of Mechanics.Gabriel Catren - unknown
    We argue that the classical description of a symplectic manifold endowed with a Hamiltonian action of an abelian Lie group G and the corresponding quantum theory can be understood as different aspects of the unitary representation theory of G. To do so, we propose a conceptual analysis of formal tools coming from symplectic geometry and group representation theory. The proposed argumentative line strongly relies on the conjecture proposed by Guillemin and Sternberg according to which ``quantization commutes with reduction''. By using (...)
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  13.  49
    Grothendieck’s theory of schemes and the algebra–geometry duality.Gabriel Catren & Fernando Cukierman - 2022 - Synthese 200 (3):1-41.
    We shall address from a conceptual perspective the duality between algebra and geometry in the framework of the refoundation of algebraic geometry associated to Grothendieck’s theory of schemes. To do so, we shall revisit scheme theory from the standpoint provided by the problem of recovering a mathematical structure A from its representations \ into other similar structures B. This vantage point will allow us to analyze the relationship between the algebra-geometry duality and the structure-semiotics duality. Whereas in classical algebraic geometry (...)
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  14.  40
    On gauge symmetries, indiscernibilities, and groupoid-theoretical equalities.Gabriel Catren - 2022 - Studies in History and Philosophy of Science Part A 91 (C):244-261.
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  15.  17
    Correction: Grothendieck’s theory of schemes and the algebra–geometry duality.Gabriel Catren & Fernando Cukierman - 2022 - Synthese 200 (4):1-1.
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  16.  88
    Quantic fibers for classical systems: an introduction to geometric quantization.Gabriel Catren - 2013 - Scientiae Studia 11 (1):35-74.
    En este artículo, se introducirá el formalismo de cuantificación canónica denominado "cuantificación geométrica". Dado que dicho formalismo permite entender la mecánica cuántica como una extensión geométrica de la mecánica clásica, se identificarán las insuficiencias de esta última resueltas por dicha extensión. Se mostrará luego como la cuantificación geométrica permite explicar algunos de los rasgos distintivos de la mecánica cuántica, como, por ejemplo, la noconmutatividad de los operadores cuánticos y el carácter discreto de los espectros de ciertos operadores. In this article, (...)
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  17.  27
    Introduction to the special issue Hermann Weyl and the philosophy of the ‘New Physics’.Silvia De Bianchi & Gabriel Catren - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 61:1-5.
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  18.  8
    Lois des dieux, des hommes et de la nature: éléments pour une analyse transversale.G. Longo & Gabriel Catren (eds.) - 2017 - Paris: Spartacus IDH.
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  19.  60
    Towards a Galoisian lnterpretation of Heisenberg lndeterminacy Principle.Julien Page & Gabriel Catren - 2014 - Foundations of Physics 44 (12):1289-1301.
    We revisit Heisenberg indeterminacy principle in the light of the Galois–Grothendieck theory for the case of finite abelian Galois extensions. In this restricted framework, the Galois–Grothendieck duality between finite K-algebras split by a Galois extension \ and finite \\) -sets can be reformulated as a Pontryagin duality between two abelian groups. We define a Galoisian quantum model in which the Heisenberg indeterminacy principle can be understood as a manifestation of a Galoisian duality: the larger the group of automorphisms \ of (...)
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  20.  18
    On the Galoisian Structure of Heisenberg Indeterminacy Principle.Julien Page & Gabriel Catren - unknown
    We revisit Heisenberg indeterminacy principle in the light of the Galois-Grothendieck theory for the case of finite abelian Galois extensions. In this restricted framework, the Galois-Grothendieck duality between finite K-algebras split by a Galois extension L and finite Gal-sets can be reformulated as a Pontryagin-like duality between two abelian groups. We then define a Galoisian quantum theory in which the Heisenberg indeterminacy principle between conjugate canonical variables can be understood as a form of Galoisian duality: the larger the group of (...)
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  21. Phase symmetries of coherent states in Galois quantum mechanics.Julien Page & Gabriel Catren - 2019 - In Diederik Aerts, Dalla Chiara, Maria Luisa, Christian de Ronde & Decio Krause (eds.), Probing the meaning of quantum mechanics: information, contextuality, relationalism and entanglement: Proceedings of the II International Workshop on Quantum Mechanics and Quantum Information: Physical, Philosophical and Logical Approaches, CLEA, Brussels. World Scientific.
     
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  22.  6
    Filosofía para no filósofos.Gabriel J. Zanotti - 1987 - Buenos Aires: Editorial de Belgrano.
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  23.  10
    Is there a duty to routinely reinterpret genomic variant classifications?Gabriel Watts & Ainsley J. Newson - 2023 - Journal of Medical Ethics 49 (12):808-814.
    Multiple studies show that periodic reanalysis of genomic test results held by clinical laboratories delivers significant increases in overall diagnostic yield. However, while there is a widespread consensus that implementing routine reanalysis procedures is highly desirable, there is an equally widespread understanding that routine reanalysis of individual patient results is not presently feasible to perform for all patients. Instead, researchers, geneticists and ethicists are beginning to turn their attention to one part of reanalysis—reinterpretation of previously classified variants—as a means of (...)
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  24.  14
    The moral background: an inquiry into the history of business ethics.Gabriel Abend - 2014 - Princeton: Princeton University Press.
    In recent years, many disciplines have become interested in the scientific study of morality. However, a conceptual framework for this work is still lacking. In The Moral Background, Gabriel Abend develops just such a framework and uses it to investigate the history of business ethics in the United States from the 1850s to the 1930s. According to Abend, morality consists of three levels: moral and immoral behavior, or the behavioral level; moral understandings and norms, or the normative level; and (...)
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  25.  7
    Explainable AI in the military domain.Nathan Gabriel Wood - 2024 - Ethics and Information Technology 26 (2):1-13.
    Artificial intelligence (AI) has become nearly ubiquitous in modern society, from components of mobile applications to medical support systems, and everything in between. In societally impactful systems imbued with AI, there has been increasing concern related to opaque AI, that is, artificial intelligence where it is unclear how or why certain decisions are reached. This has led to a recent boom in research on “explainable AI” (XAI), or approaches to making AI more explainable and understandable to human users. In the (...)
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  26.  49
    To offer or request? Disclosing variants of uncertain significance in prenatal testing.Gabriel Watts & Ainsley J. Newson - 2021 - Bioethics (9):900-909.
    The use of genomic testing in pregnancy is increasing, giving rise to questions over how the information that is generated should be offered and returned in clinical practice. While these tests provide important information for prenatal decision-making, they can also generate information of uncertain significance. This paper critically examines three models for approaching the disclosure of variants of uncertain significance (VUS), which can arise from forms of genomic testing such as prenatal chromosomal microarray analysis (CMA). Contrary to prevailing arguments, we (...)
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  27.  9
    Yoga: ein Ja zum Leben.Gabriel Plattner - 1974 - Stuttgart: Werner Classen.
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  28. Target Acquired: The Ethics of Assassination.Nathan Gabriel Wood - manuscript
    In international law and the ethics of war, there are a variety of actions which are seen as particularly problematic and presumed to be always or inherently wrong, or in need of some overwhelmingly strong justification to override the presumption against them. One of these actions is assassination, in particular, assassination of heads of state. In this essay I argue that the presumption against assassination is incorrect. In particular, I argue that if in a given scenario war is justified, then (...)
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  29. Happy Lives and the Highest Good: An Essay on Aristotle's "Nicomachean Ethics".Gabriel Richardson Lear - 2005 - Princeton University Press.
    Gabriel Richardson Lear presents a bold new approach to one of the enduring debates about Aristotle's Nicomachean Ethics: the controversy about whether it coherently argues that the best life for humans is one devoted to a single activity, namely philosophical contemplation. Many scholars oppose this reading because the bulk of the Ethics is devoted to various moral virtues--courage and generosity, for example--that are not in any obvious way either manifestations of philosophical contemplation or subordinated to it. They argue that (...)
  30.  11
    Proportionality and combat trauma.Nathan Gabriel Wood - 2024 - Philosophical Studies 181 (2):513-533.
    The principle of proportionality demands that a war (or action in war) achieve more goods than bads. In the philosophical literature there has been a wealth of work examining precisely which goods and bads may count toward this evaluation. However, in all of these discussions there is no mention of one of the most certain bads of war, namely the psychological harm(s) likely to be suffered by the combatants who ultimately must fight and kill for the purposes of winning in (...)
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  31. Pride, shame, and guilt: emotions of self-assessment.Gabriele Taylor - 1985 - New York: Oxford University Press.
    This discussion of pride, shame, and guilt centers on the beliefs involved in the experience of any of these emotions. Through a detailed study, the author demonstrates how these beliefs are alike--in that they are all directed towards the self--and how they differ. The experience of these three emotions are illustrated by examples taken from English literature. These concrete cases supply a context for study and indicate the complexity of the situations in which these emotions usually occur.
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  32. Semantics of Pictorial Space.Gabriel Greenberg - 2021 - Review of Philosophy and Psychology 1 (4):847-887.
    A semantics of pictorial representation should provide an account of how pictorial signs are associated with the contents they express. Unlike the familiar semantics of spoken languages, this problem has a distinctively spatial cast for depiction. Pictures themselves are two-dimensional artifacts, and their contents take the form of pictorial spaces, perspectival arrangements of objects and properties in three dimensions. A basic challenge is to explain how pictures are associated with the particular pictorial spaces they express. Inspiration here comes from recent (...)
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  33.  7
    Hope and Exploitation in Commercial Provision of Assisted Reproductive Technologies.Anthony Wrigley, Gabriel Watts, Wendy Lipworth & Ainsley J. Newson - 2023 - Hastings Center Report 53 (5):30-41.
    Innovation is a key driver of care provision in assisted reproductive technologies (ART). ART providers offer a range of add‐on interventions, aiming to augment standard in vitro fertilization protocols and improve the chances of a live birth. Particularly in the context of commercial provision, an ever‐increasing array of add‐ons are marketed to ART patients, even when evidence to support them is equivocal. A defining feature of ART is hope—hope that a cycle will lead to a baby or that another test (...)
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  34.  12
    Reconsidering reinterpretation: response to commentaries.Gabriel Watts & Ainsley J. Newson - 2023 - Journal of Medical Ethics 49 (12):824-825.
    The results of tests carried out using next-generation genomic sequencing (NGS) possess a peculiar and perhaps unique ‘diagnostic durability’. Unlike most other forms of testing, if genomic results or data are stored over time, then it remains possible to interrogate that information indefinitely, without having to retest the patient. Another peculiar property of genomic results is that their interpretations are subject to change within relatively short time frames. For instance, a genomic variant that is of uncertain significance (VUS) at the (...)
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  35.  3
    Reply to “Collective Responsibility and Artificial Intelligence”.Nathan Gabriel Wood - 2024 - Philosophy and Technology 37 (2):1-3.
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  36. Carnapian frameworks.Gabriel L. Broughton - 2021 - Synthese 199 (1-2):4097-4126.
    Carnap’s seminal ‘Empiricism, Semantics and Ontology’ makes important use of the notion of a framework and the related distinction between internal and external questions. But what exactly is a framework? And what role does the internal/external distinction play in Carnap’s metaontology? In an influential series of papers, Matti Eklund has recently defended a bracingly straightforward interpretation: A Carnapian framework, Eklund says, is just a natural language. To ask an internal question, then, is just to ask a question in, say, English. (...)
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  37. A Slim Book About Narrow Content.Gabriel Segal - 2000 - MIT Press.
    The book, written in a clear, engaging style, contains four chapters.
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  38. Maurice Merleau‐Ponty's concept of motor intentionality: Unifying two kinds of bodily agency.Gabrielle Benette Jackson - 2018 - European Journal of Philosophy 26 (2):763-779.
    I develop an interpretation of Maurice Merleau-Ponty's concept of motor intentionality, one that emerges out of a reading of his presentation of a now classic case study in neuropathology—patient Johann Schneider—in Phenomenology of Perception. I begin with Merleau-Ponty's prescriptions for how we should use the pathological as a guide to the normal, a method I call triangulation. I then turn to his presentation of Schneider's unusual case. I argue that we should treat all of Schneider's behaviors as pathological, not only (...)
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  39.  64
    Pride Shame and Guilt.Gabriele Taylor - 1989 - Noûs 23 (2):253-254.
  40.  21
    A Peculiar Mix: On the Place of Curiosity within Hume’s Treatise.Gabriel Watts - 2022 - Hume Studies 47 (2):261-283.
    Abstract:In this paper I argue that Hume’s decision to include an account of curiosity within his theory of the passions is what gives Book 2 of the Treatise its distinctive shape, in which an account of what Hume calls “indirect” passions precedes an account of the nature of the will, which is itself followed by an account of the “direct” passions, then curiosity. On my reading, Hume concludes his theory of the passions with an account of curiosity because this is (...)
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  41.  21
    Making meaning.Gabriel Waters & Sherman Wilcox - 2002 - Behavioral and Brain Sciences 25 (5):644-645.
    This commentary discusses the dynamic systems (DS) approach to communication over an information-processing (IP) model. The commenters suggest that the authors of the target article, in their treatment of the issue, do not identify the central failing of the IP model. Further, it is suggested that the DS approach should include examination of mechanisms in the emergence of symbolic communication.
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  42.  21
    Marching on the Capital: Hume's Experimental Science of Man as a Conquest for Occupied Territory.Gabriel Watts - 2020 - Journal of Scottish Philosophy 18 (3):233-255.
    In this paper I set out what I call a ‘conquest’ conception of Hume's experimental science of man. It is notable, I claim, that Hume regards what he calls the ‘capital’ of the sciences – ‘the science of MAN’ – as occupied territory, and that he views his ‘direct’ method of approach upon the science of human nature as a ‘conquest’. I expand upon such statements by leveraging the comparison that Hume draws between experimental moral philosophy and the experimental tradition (...)
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  43.  12
    Reading Hume on the passions.Gabriel Watts - 2021 - Belgrade Philosophical Annual 1 (34):73-94.
    This paper provides a reception history of Book Two of the Treatise-Of the passions-as well as an attempt to reconcile Hume's ambitions to systematicity in Book Two with the distracted and distracting nature of the text. We currently have, I think, a good sense of the philosophical importance of Book Two within Hume's science of human nature. Yet we have not made much progress on understanding Book Two on its own terms, and especially why Book Two so often seems on (...)
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  44. Two main problems in the sociology of morality.Gabriel Abend - 2008 - Theory and Society 37 (2):87-125.
    Sociologists often ask why particular groups of people have the moral views that they do. I argue that sociology’s empirical research on morality relies, implicitly or explicitly, on unsophisticated and even obsolete ethical theories, and thus is based on inadequate conceptions of the ontology, epistemology, and semantics of morality. In this article I address the two main problems in the sociology of morality: (1) the problem of moral truth, and (2) the problem of value freedom. I identify two ideal–typical approaches. (...)
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  45. Visual Feeling of Presence.Gabriele Ferretti - 2018 - Pacific Philosophical Quarterly 99 (S1):112-136.
    Everyday visual experience constantly confronts us with things we can interact with in the real world. We literally feel the outside presence of physical objects in our environment via visual perceptual experience. The visual feeling of presence is a crucial feature of vision that is largely unexplored in the philosophy of perception, and poorly debated in vision neuroscience. The aim of this article is to investigate the feeling of presence. I suggest that visual feeling of presence depends on the visual (...)
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  46.  14
    Kandinsky e a relação entre música e pintura na metafísica do belo de Schopenhauer.Gabriel do Carmo Aguiar & Eduardo Ribeiro da Fonseca - 2023 - Voluntas: Revista Internacional de Filosofia 14 (1):e71798.
    O presente texto tem por objetivo compreender a pintura de Wassily Kandinsky a partir da metafísica do belo de Arthur Schopenhauer, especialmente a partir da relação entre pintura e música estabelecida pelo pintor.
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  47. Deadly vices.Gabriele Taylor - 2006 - New York: Oxford University Press.
    Gabriele Taylor presents a philosophical investigation of the "ordinary" vices traditionally seen as "death to the soul": sloth, envy, avarice, pride, anger, lust, and gluttony. In the course of a richly detailed discussion of individual and interrelated vices, which complements recent work by moral philosophers on virtue, she shows why these "deadly sins" are correctly so named and grouped together.
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  48.  45
    The Neural Dynamics of Seeing-In.Gabriele Ferretti - 2019 - Erkenntnis 84 (6):1285-1324.
    Philosophers have suggested that, in order to understand the particular visual state we are in during picture perception, we should focus on experimental results from vision neuroscience—in particular, on the most rigorous account of the functioning of the visual system that we have from vision neuroscience, namely, the ‘Two Visual Systems Model’. According to the initial version of this model, our visual system can be dissociated, from an anatomo-functional point of view, into two streams: a ventral stream subserving visual recognition, (...)
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  49.  23
    On Painting.Gabriel Laderman, Leon Battista Alberti & John R. Spencer - 1956 - Journal of Aesthetic Education 3 (1):140.
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  50.  51
    Through the forest of motor representations.Gabriele Ferretti - 2016 - Consciousness and Cognition 43:177-196.
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