Results for 'duality'

209 found
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  1. (1 other version)Duality and ontology.Baptiste Le Bihan & James Read - 2018 - Philosophy Compass 13 (12):e12555.
    A ‘duality’ is a formal mapping between the spaces of solutions of two empirically equivalent theories. In recent times, dualities have been found to be pervasive in string theory and quantum field theory. Naïvely interpreted, duality-related theories appear to make very different ontological claims about the world—differing in e.g. space-time structure, fundamental ontology, and mereological structure. In light of this, duality-related theories raise questions familiar from discussions of underdetermination in the philosophy of science: in the presence of (...)
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  2. Metainferential duality.Bruno Da Ré, Federico Pailos, Damian Szmuc & Paula Teijeiro - 2020 - Journal of Applied Non-Classical Logics 30 (4):312-334.
    The aim of this article is to discuss the extent to which certain substructural logics are related through the phenomenon of duality. Roughly speaking, metainferences are inferences between collect...
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  3. Priestley Duality for Bilattices.A. Jung & U. Rivieccio - 2012 - Studia Logica 100 (1-2):223-252.
    We develop a Priestley-style duality theory for different classes of algebras having a bilattice reduct. A similar investigation has already been realized by B. Mobasher, D. Pigozzi, G. Slutzki and G. Voutsadakis, but only from an abstract category-theoretic point of view. In the present work we are instead interested in a concrete study of the topological spaces that correspond to bilattices and some related algebras that are obtained through expansions of the algebraic language.
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  4. Univocity, Duality, and Ideal Genesis: Deleuze and Plato.John Bova & Paul M. Livingston - 2017 - In Abraham Jacob Greenstine & Ryan J. Johnson (eds.), Contemporary Encounters with Ancient Metaphysics. Edinburgh: Edinburgh University Press. pp. 65-85.
    In this essay, we consider the formal and ontological implications of one specific and intensely contested dialectical context from which Deleuze’s thinking about structural ideal genesis visibly arises. This is the formal/ontological dualism between the principles, ἀρχαί, of the One (ἕν) and the Indefinite/Unlimited Dyad (ἀόριστος δυάς), which is arguably the culminating achievement of the later Plato’s development of a mathematical dialectic.3 Following commentators including Lautman, Oskar Becker, and Kenneth M. Sayre, we argue that the duality of the One (...)
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    A Fundamental Duality in the Exact Sciences: The Application to Quantum Mechanics.David Ellerman - 2024 - Foundations 4 (2):175-204.
    There is a fundamental subsets–partitions duality that runs through the exact sciences. In more concrete terms, it is the duality between elements of a subset and the distinctions of a partition. In more abstract terms, it is the reverse-the-arrows of category theory that provides a major architectonic of mathematics. The paper first develops the duality between the Boolean logic of subsets and the logic of partitions. Then, probability theory and information theory (as based on logical entropy) are (...)
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  6. Quantum Complementarity: Both Duality and Opposition.Vasil Penchev - 2020 - Metaphysics eJournal (Elsevier: SSRN) 13 (13):1-6.
    Quantum complementarity is interpreted in terms of duality and opposition. Any two conjugates are considered both as dual and opposite. Thus quantum mechanics introduces a mathematical model of them in an exact and experimental science. It is based on the complex Hilbert space, which coincides with the dual one. The two dual Hilbert spaces model both duality and opposition to resolve unifying the quantum and smooth motions. The model involves necessarily infinity even in any finitely dimensional subspace of (...)
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  7. On the duality between existence and information.David Ellerman - manuscript
    Recent developments in pure mathematics and in mathematical logic have uncovered a fundamental duality between "existence" and "information." In logic, the duality is between the Boolean logic of subsets and the logic of quotient sets, equivalence relations, or partitions. The analogue to an element of a subset is the notion of a distinction of a partition, and that leads to a whole stream of dualities or analogies--including the development of new logical foundations for information theory parallel to Boole's (...)
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  8. Recovery operators, paraconsistency and duality.Walter A. Carnielli, Marcelo E. Coniglio & Abilio Rodrigues Filho - 2020 - Logic Journal of the IGPL 28 (5):624-656.
    There are two foundational, but not fully developed, ideas in paraconsistency, namely, the duality between paraconsistent and intuitionistic paradigms, and the introduction of logical operators that express meta-logical notions in the object language. The aim of this paper is to show how these two ideas can be adequately accomplished by the Logics of Formal Inconsistency (LFIs) and by the Logics of Formal Undeterminedness (LFUs). LFIs recover the validity of the principle of explosion in a paraconsistent scenario, while LFUs recover (...)
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  9. Dualities for modal N4-lattices.R. Jansana & U. Rivieccio - 2014 - Logic Journal of the IGPL 22 (4):608-637.
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  10. Wave-Particle Duality: A New Look from First Principles.Paul Klevgard - manuscript
    Part I looks at duality for the photon; Part II does the same for the electron. The traditional division of kinetic energy between radiation and matter-in-motion is reexamined permitting new insights into duality. An in-flight photon displays wave characteristics. Such a photon can interfere with itself and take all available space paths as a wave. In addition, photons pass through one another like waves whereas particles impact each other. It is only when the photon terminates on a material (...)
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  11. Temporal Delusion: 'Duality' Accounts of Time and Double Orientation to Reality in Depressive Psychosis.M. Moskalewicz - 2018 - Journal of Consciousness Studies 25 (9-10):163-183.
    This paper argues that 'duality' accounts of time, as exemplified by Henri Bergson's, Edmund Husserl's, and John McTaggart's ideas, parallel the decomposition of temporal experience in depressive psychosis into objective and subjective dimensions of time. The paper also proposes to comprehend the full-fledged depressive temporal delusion, in which the subjective flow of time comes to a standstill, via the idea of a double orientation to reality characteristic of schizophrenic delusions. In the depressive temporal delusion a person claims that time (...)
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  12. Might/Would Duality and The Probabilities of Counterfactuals.Michael J. Shaffer - 2018 - Logique and Analyse 242:119-124.
    In this paper it is shown that Lewis' MWD (might/would duality) and imaging principles lead to wildly implausible probability assignments for would counterfactuals.
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  13. Science, dualities and the phenomenological map.H. G. Solari & Mario Natiello - 2024 - Foundations of Science 29 (2):377-404.
    We present an epistemological schema of natural sciences inspired by Peirce's pragmaticist view, stressing the role of the \emph{phenomenological map}, that connects reality and our ideas about it. The schema has a recognisable mathematical/logical structure which allows to explore some of its consequences. We show that seemingly independent principles as the requirement of reproducibility of experiments and the Principle of Sufficient Reason are both implied by the schema, as well as Popper's concept of falsifiability. We show that the schema has (...)
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  14. B-frame duality.Guillaume Massas - 2023 - Annals of Pure and Applied Logic 174 (5):103245.
    This paper introduces the category of b-frames as a new tool in the study of complete lattices. B-frames can be seen as a generalization of posets, which play an important role in the representation theory of Heyting algebras, but also in the study of complete Boolean algebras in forcing. This paper combines ideas from the two traditions in order to generalize some techniques and results to the wider context of complete lattices. In particular, we lift a representation theorem of Allwein (...)
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  15. The simple duality: Humean passions.Hsueh Qu - 2012 - Canadian Journal of Philosophy 42 (S1):98-116.
    Hume views the passions as having both intentionality and qualitative character, which, in light of his Separability Principle, seemingly contradicts their simplicity. I reject the dominant solution to this puzzle of claiming that intentionality is an extrinsic property of the passions, arguing that a number of Hume’s claims regarding the intentionality of the passions (pride and humility in particular) provide reasons for thinking an intrinsic account of the intentionality of the passions to be required. Instead, I propose to resolve this (...)
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  16. Non-Duality.Alexis Karpouzos - 2019 - COSMIC SPIRIT.
    Self – organizing is closely connected to the phenomenon of life. The creation of complexity, which is necessary for the creation of life, is connected to the process of storing information in molecules of which the living cell is constituted. All living systems, either unicellular or multicellular organisms, are extremely complex systems compared to all the other species of the non living matter that exist in the Universe. Complexity is the result of effect processes, leading to systems with great organization, (...)
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  17. Phenomenology of the Natural Unfolding of Non Duality, Transmisson:The Journal of The Awareness Field, Vol.1 Awareness.Ph D. Rudolph Bauer - 2012 - Transmission 1.
    This is a phenomenological study of the natural unfolding of awareness into non duality.
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  18. Physics-Metaphysics Duality: Exploring the Limits of Human Understanding.Galitsky Viktor - manuscript
    We examine the relationship between scientific methods and religious perspectives using the example of theoretical physics' understanding of observable natural phenomena. Through a straightforward logical construction, we argue that not only are scientific and metaphysical viewpoints not contradictory, but the existence of the latter is strongly suggested by the former.
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  19. Explaining consciousness and the duality of method.Henk Bij de Weg - manuscript
    In consciousness studies, the first-person perspective, seen as a way to approach consciousness, is often seen as nothing but a variant of the third-person perspective. One of the most important advocates of this view is Dennett. However, as I show in critical interaction with Dennett’s view, the first-person perspective and the third-person perspective are different ways of asking questions about themes. What these questions are is determined by the purposes that we have when we ask them. Since our purposes are (...)
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  20. Neutrosophic Treatment of Duality Linear Models and the Binary Simplex Algorithm.Maissam Jdid & Florentin Smarandache - 2023 - Prospects for Applied Mathematics and Data Analysis 2 (1).
    One of the most important theories in linear programming is the dualistic theory and its basic idea is that for every linear model has dual linear model, so that solving the original linear model gives a solution to the dual model. Therefore, when we solving the linear programming model, we actually obtain solutions for two linear models. In this research, we present a study of the models. The neutrosophic dual and the binary simplex algorithm, which works to find the optimal (...)
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  21. Gauge Symmetry and Invariant Features of Particles and Photons: Insights into Duality, Time’s Arrow and Nonlocality.Paul Klevgard - manuscript
    Particles and photons appear to be total opposites; the former has rest mass which requires space to exist; the latter has kinetic energy which requires time to occur (oscillate). But they do share certain properties (e.g., quantization) that remain invariant when one is transformed (swapped) for the other. This gauge invariance is developed in some detail. The symmetry between particle and photon turns out to be one of inversion. It is the equalities of special relativity that support this inversion and (...)
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  22. No Paradox in Wave–Particle Duality.Andrew Knight - 2020 - Foundations of Physics 50 (11):1723-1727.
    The assertion that an experiment by Afshar et al. demonstrates violation of Bohr’s Principle of Complementarity is based on the faulty assumption that which-way information in a double-slit interference experiment can be retroactively determined from a future measurement.
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  23. Methexis, Mimesis and Self Duality: Theoretical Physics as Formal Systems.Ignazio Licata - 2014 - Versus 118.
    The naive idea of a mimesis between theory and experiments, a concept still lasing in many epistemologies, is here substituted by a more sophisticated mathematical methexis where theoretical physics is a system of production of formal structures under strong mathematical constraints, such as global and local symmetries. Instead of an ultimate “everything theory”, the image of physical theories here proposed is a totality of interconnected structures establishing the very conditions of its “thinkability” and the relations with the experimental domain.
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  24. Deleuze’s Theory of Sensation: Overcoming the Kantian Duality.Daniel W. Smith - 1991 - In Paul Patton (ed.), Deleuze: A Critical Reader. Oxford: Blackwell. pp. 29-56.
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  25. Kantian and Nietzschean Aesthetics of Human Nature: A Comparison between the Beautiful/Sublime and Apollonian/Dionysian Dualities.Erman Kaplama - 2016 - Cosmos and History 12 (1):166-217.
    Both for Kant and for Nietzsche, aesthetics must not be considered as a systematic science based merely on logical premises but rather as a set of intuitively attained artistic ideas that constitute or reconstitute the sensible perceptions and supersensible representations into a new whole. Kantian and Nietzschean aesthetics are both aiming to see beyond the forms of objects to provide explanations for the nobility and sublimity of human art and life. We can safely say that Kant and Nietzsche used the (...)
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  26. (1 other version)Discrete space and the wave-particle duality relation.Sydney Ernest Grimm - manuscript
    Paper about the origin of the wave-particle duality.
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  27. The Wonder of Wonders – Subjectivity as Non-Duality.Rudolph Bauer - 2012 - Transmission 2.
    This paper describes the contemporary phenomenological understanding of subjectivity as non dual awareness.
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  28. Deterministic and indeterministic morality and duality. Quantum and philosophical approach.Darwin Deivy Zambrano Castellano - manuscript
    Quantum mechanics is a fundamental theory in physics that describes the behavior of subatomic particles and systems at very small scales. Unlike classical theories, quantum mechanics introduces elements of indeterminism in the description of physical phenomena. There are fundamental limits to the precision with which certain physical properties, such as the position and momentum of a particle, can be measured simultaneously. This implies that, even if all the initial conditions of a quantum system are known, its future behavior cannot be (...)
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  29. N.T. Wright and the Body-Soul Predicament: The Presumption of Duality in Ontological Holism.D'Oleo-Ochoa Isaias - 2016 - Stromata 58 (1):111-136.
    N.T. Wright has offered Christian philosophers a proposal where it is apparently possible to hold the belief in the intermediate state-resurrection of the body and an ontological holism in the same sense at the same time. I argue that this not only creates a basic contradiction in Wright’s ontological paradigm, but also it is not a coherent and tenable proposal despite the fact one might eventually find a potential solution to such a quandary.
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  30. Talking about worlds.Matthew Mandelkern - 2018 - Philosophical Perspectives 32 (1):298-325.
    I explore the logic of the conditional, using credence judgments to argue against Duality and in favor of Conditional Excluded Middle. I then explore how to give a theory of the conditional which validates the latter and not the former, developing a variant on Kratzer (1981)'s restrictor theory, as well as a proposal which combines Stalnaker (1968)'s theory of the conditional with the theory of epistemic modals I develop in Mandelkern 2019a. I argue that the latter approach fits naturally (...)
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  31. The Case for Rage in Transitional Justice: Lessons from the Anti-Racist Struggle.R. S. Leiby - 2024 - International Journal of Transitional Justice 18 (1):18-31.
    Transitional justice theorizing has the tendency to smuggle in an over-reliance on dualities: one’s resentment can give rise to either vengeance or forgiveness, but not both; one can either be fueled by anger or by the hope of progress, but not both; and so on. This dualistic way of thinking replicates the kinds of false dichotomies that hamstring other societal movements, among them the struggle against racism. Drawing on Myisha Cherry’s case for so-called ‘Lordean rage’ within the context of the (...)
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  32. An Introduction to Partition Logic.David Ellerman - 2014 - Logic Journal of the IGPL 22 (1):94-125.
    Classical logic is usually interpreted as the logic of propositions. But from Boole's original development up to modern categorical logic, there has always been the alternative interpretation of classical logic as the logic of subsets of any given (nonempty) universe set. Partitions on a universe set are dual to subsets of a universe set in the sense of the reverse-the-arrows category-theoretic duality--which is reflected in the duality between quotient objects and subobjects throughout algebra. Hence the idea arises of (...)
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  33. Is the Photon Really a Particle?Paul Klevgard - 2021 - Optik 237 (166679):N/A.
    Photons deliver their energy and momentum to a point on a material target. It is commonplace to attribute this to particle impact. But since the in-flight photon also has a wave nature, we are stuck with the paradox of wave-particle duality. It is argued here that the photon’s wave nature is indisputable, but its particle nature is open to question. Photons deliver energy. The problem with invoking impact as a means of delivery is that energy becomes a payload which (...)
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  34. A Unified Explanation of Quantum Phenomena? The Case for the Peer‐to‐Peer Simulation Hypothesis as an Interdisciplinary Research Program.Marcus Arvan - 2014 - Philosophical Forum 45 (4):433-446.
    In my 2013 article, “A New Theory of Free Will”, I argued that several serious hypotheses in philosophy and modern physics jointly entail that our reality is structurally identical to a peer-to-peer (P2P) networked computer simulation. The present paper outlines how quantum phenomena emerge naturally from the computational structure of a P2P simulation. §1 explains the P2P Hypothesis. §2 then sketches how the structure of any P2P simulation realizes quantum superposition and wave-function collapse (§2.1.), quantum indeterminacy (§2.2.), wave-particle duality (...)
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  35. If Quantum Mechanics Is the Solution, What Should the Problem Be?Vasil Penchev - 2020 - Philosophy of Science eJournal (Elsevier: SSRN) 13 (32):1-10.
    The paper addresses the problem, which quantum mechanics resolves in fact. Its viewpoint suggests that the crucial link of time and its course is omitted in understanding the problem. The common interpretation underlain by the history of quantum mechanics sees discreteness only on the Plank scale, which is transformed into continuity and even smoothness on the macroscopic scale. That approach is fraught with a series of seeming paradoxes. It suggests that the present mathematical formalism of quantum mechanics is only partly (...)
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  36.  70
    Unraveling the Philosophy of Life: Insights from Eastern Wisdom.Borzou Ghaderi - manuscript
    This paper presents a comprehensive exploration of the structure of suffering and the quest for liberation within the context of Eastern philosophy. Drawing from the profound insights of Samkhya and Yoga traditions, it investigates the intricate subject-object duality, highlighting the five fundamental causes of suffering (Pancha Klesha) that intertwine and perpetuate restlessness and unfulfilled desires. The paper further elucidates the concept of “enstasy” as a path to liberation, offering moments of profound detachment and unity with intrinsic truth. Ultimately, it (...)
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  37. A Parsimonious Solution to the Hard Problem of Consciousness: Complexity and Narrative.Maxson J. McDowell - manuscript
    Three decades after Chalmers named it, the ‘hard problem’ remains. I suggest a parsimonious solution. Biological dynamic systems interact according to simple rules (while the environment provides simple constraints) and thus self-organize to become a new, more complex dynamic system at the next level. This spiral repeats several times generating a hierarchy of levels. A leap to the next level is frequently creative and surprising. From ants, themselves self-organized according to physical/chemical laws, may emerge an ant colony self-organized according to (...)
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  38. UnQuantum Woolf: The Many Intellectual Contexts of To the Lighthouse's Metaphorical Wave-Particle Binary.Xavier Cousin - 2022 - Dissertation, Durham University
    This thesis is a sceptical investigation into the notion that the metaphorical wave-particle binary of Virginia Woolf's To the Lighthouse is related to quantum physics. Indeed, the field of literature and science has employed conceptual similarities as the main means of connecting quantum concepts to novels, however, this has led to a host of scholarly difficulties, prompting the need for a re-examination of analogical linkages. Woolf is the model candidate for such a re-examination, given her historical and philosophical proximity with (...)
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  39. Dueling with Dualism.Michael Spenard (ed.) - 2011 - First Byte.
    Dueling with Dualism takes up the commonplace understanding of man's mind as having a distinct mode of existence outside of physical space and corporeal bodies: the infamous notion of "mind-body duality." In this brisk and lucid work Spenard lays forth a historical account and cumulative critique against the intuitive conception of the mind, as separate from the brain, by bearing out fully the consequences and implications of this notion. In challenging the reader from the opening-"What is it that your (...)
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  40. Spontaneous emerging of material by applying the Darwin's evolutionary theory to in quantum realm and its impact on simplifying the dilemmas.Vahid Dabbagh - manuscript
    What is the boundary between the animate and inanimate world? It is obvious that the animate world is under rules of inanimate world. Is the converse true? This paper is aimed at imposing the well-known Darwin's theory of evolution to inanimate world of atomic realm where bizarre behavior of electron challenges our everyday perception of inanimate world. This paper, suggests a weird, peculiar and highly elegant speculation of existing, leads suspicious about validity of the law of conservation of mass, provides (...)
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  41. Taking the super out of the supernatural.Leslie Marsh - 2007 - Zygon 42 (2):356.
    Metaphysical dualities divorce humankind from its natural environment, dualities that can precipitate environmental disaster. Loyal Rue in Religion Is Not About God seeks to resolve the abstract modalities of religion and naturalism in a unified monistic ecocentric metaphysic characterized as religious naturalism. Rue puts forward proposals for a general naturalistic theory of religion, a theory that lays bare the structural and functional features of religious phenomena as the critical first step on the road to badly needed religion- science realignment. Only (...)
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  42. The View From Somewhere - Investigations Pertaining to the Implications of the Impurity of the Third- and the First-Person-Perspective.John Haglund - forthcoming - Continental Philosophy Review.
    The old duality that eventually came to produce the mind/body-problem indicates the problem of transcendental subjectivity. The enduring significance of this problem shows itself in a provocation of any paradigm that has become too objectivistic, too naturalistic – even too idealistic in a certain sense – and too forgetful of its own departure from a perspective always presumed. Analytic philosophy bears a tendency towards such a ‘view from nowhere’ which denies a fundamental subjective connection. The rebuttal of this position (...)
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  43. Taking Heisenberg's Potentia Seriously.Ruth Kastner, Stuart Kauffman & Michael Epperson - 2018 - International Journal of Quantum Foundations 4 (2):158-172.
    It is argued that quantum theory is best understood as requiring an ontological duality of res extensa and res potentia, where the latter is understood per Heisenberg’s original proposal, and the former is roughly equivalent to Descartes’ ‘extended substance.’ However, this is not a dualism of mutually exclusive substances in the classical Cartesian sense, and therefore does not inherit the infamous ‘mind-body’ problem. Rather, res potentia and res extensa are proposed as mutually implicative ontological extants that serve to explain (...)
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  44. Concerning Multiple Context-Dependence, Uncertainty, and Understanding.Hong Joo Ryoo - manuscript
    Recent discourse in the philosophy of scientific explanation involves an account known as the Kairetic account. I proposed implementing a complementarity view involving a mapping scheme to the Kairetic account and similar models. There are two natural concerns related to this mapping. The first concern is the treatment of multiple mappings required for an explanation: phenomena may involve two complementarity features. The second concern is regarding the acquisition of understanding and whether context-dependence facilitates understanding. This article aims to address the (...)
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  45. Perceiving pictures.Bence Nanay - 2011 - Phenomenology and the Cognitive Sciences 10 (4):461-480.
    I aim to give a new account of picture perception: of the way our visual system functions when we see something in a picture. My argument relies on the functional distinction between the ventral and dorsal visual subsystems. I propose that it is constitutive of picture perception that our ventral subsystem attributes properties to the depicted scene, whereas our dorsal subsystem attributes properties to the picture surface. This duality elucidates Richard Wollheim’s concept of the “twofoldness” of our experience of (...)
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  46. (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 (...)
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  47.  62
    Elements of Dialectical Contextualism.Paul Franceschi - 2014 - In Julien Dutant, Davide Fassio & Anne Meylan (eds.), Liber Amicorum Pascal Engel. University of Geneva. pp. 581-608.
    English translation of an article originally published in French in Liber Amicorum Pascal Engel, J. Dutant, G. Fassio & A. Meylan (eds.), University of Geneva, 2014, pp. 581-608. In what follows, I strive to present the elements of a philosophical doctrine, which can be defined as dialectical contextualism. I proceed first to define the elements of this doctrine: dualities and polar contraries, the principle of dialectical indifference and the one-sidedness bias. I emphasize then the special importance of this doctrine in (...)
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  48. The Role of Idealizations in Context-Dependent Mapping.Hong Joo Ryoo - manuscript
    This paper explores the integration of Michael Strevens' concept of idealizations with my previous framework of similarity spaces and context-dependence to develop a comprehensive account of ideal explanations in scientific practice. Idealizations, which involve deliberate falsifications, play a crucial role in distinguishing between causally relevant and irrelevant factors in scientific models. Context-dependent mapping provides a structured approach to handling complementarities and context-dependent phenomena by mapping different observational contexts to distinct sets of physical laws. By combining these two ideas, I will (...)
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  49. Cassirer and the Structural Turn in Modern Geometry.Georg Schiemer - 2018 - Journal for the History of Analytical Philosophy 6 (3).
    The paper investigates Ernst Cassirer’s structuralist account of geometrical knowledge developed in his Substanzbegriff und Funktionsbegriff. The aim here is twofold. First, to give a closer study of several developments in projective geometry that form the direct background for Cassirer’s philosophical remarks on geometrical concept formation. Specifically, the paper will survey different attempts to justify the principle of duality in projective geometry as well as Felix Klein’s generalization of the use of geometrical transformations in his Erlangen program. The second (...)
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  50. Vagueness: Subvaluationism.Pablo Cobreros - 2013 - Philosophy Compass 8 (5):472-485.
    Supervaluationism is a well known theory of vagueness. Subvaluationism is a less well known theory of vagueness. But these theories cannot be taken apart, for they are in a relation of duality that can be made precise. This paper provides an introduction to the subvaluationist theory of vagueness in connection to its dual, supervaluationism. A survey on the supervaluationist theory can be found in the Compass paper of Keefe (2008); our presentation of the theory in this paper will be (...)
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