Results for 'isomorphism'

41 found
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  1.  72
    On the History of the Isomorphism Problem of Dynamical Systems with Special Regard to von Neumann’s Contribution.Miklos Redei & Charlotte Werndl - 2012 - Archive for History of Exact Sciences 66 (1):71-93.
    This paper reviews some major episodes in the history of the spatial isomorphism problem of dynamical systems theory. In particular, by analysing, both systematically and in historical context, a hitherto unpublished letter written in 1941 by John von Neumann to Stanislaw Ulam, this paper clarifies von Neumann's contribution to discovering the relationship between spatial isomorphism and spectral isomorphism. The main message of the paper is that von Neumann's argument described in his letter to Ulam is the very (...)
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  2. On Two Mathematical Definitions of Observational Equivalence: Manifest Isomorphism and Epsilon-Congruence Reconsidered.Christopher Belanger - 2013 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (2):69-76.
    In this article I examine two mathematical definitions of observational equivalence, one proposed by Charlotte Werndl and based on manifest isomorphism, and the other based on Ornstein and Weiss’s ε-congruence. I argue, for two related reasons, that neither can function as a purely mathematical definition of observational equivalence. First, each definition permits of counterexamples; second, overcoming these counterexamples will introduce non-mathematical premises about the systems in question. Accordingly, the prospects for a broadly applicable and purely mathematical definition of observational (...)
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  3. Gestalt Isomorphism and the Primacy of the Subjective Perceptual Experience.Steven Lehar - 1998 - Behavioral and Brain Sciences 21 (6):763-764.
    The Gestalt principle of isomorphism reveals the primacy of subjective experience as a valid source of evidence for the information encoded neurophysiologically. This theory invalidates the abstractionist view that the neurophysiological representation can be of lower dimensionality than the percept to which it gives rise.
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  4. Representations Gone Mental.Alex Morgan - 2014 - Synthese 191 (2):213-244.
    Many philosophers and psychologists have attempted to elucidate the nature of mental representation by appealing to notions like isomorphism or abstract structural resemblance. The ‘structural representations’ that these theorists champion are said to count as representations by virtue of functioning as internal models of distal systems. In his 2007 book, Representation Reconsidered, William Ramsey endorses the structural conception of mental representation, but uses it to develop a novel argument against representationalism, the widespread view that cognition essentially involves the manipulation (...)
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  5.  87
    Non-Constructive Procedural Theory of Propositional Problems and the Equivalence of Solutions.Ivo Pezlar - 2019 - In Igor Sedlár & Martin Blicha (eds.), The Logica Yearbook 2018. London: College Publications. pp. 197-210.
    We approach the topic of solution equivalence of propositional problems from the perspective of non-constructive procedural theory of problems based on Transparent Intensional Logic (TIL). The answer we put forward is that two solutions are equivalent if and only if they have equivalent solution concepts. Solution concepts can be understood as a generalization of the notion of proof objects from the Curry-Howard isomorphism.
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  6. Beyond Resemblance.Gabriel Greenberg - 2013 - Philosophical Review 122 (2):215-287.
    What is it for a picture to depict a scene? The most orthodox philosophical theory of pictorial representation holds that depiction is grounded in resemblance. A picture represents a scene in virtue of being similar to that scene in certain ways. This essay presents evidence against this claim: curvilinear perspective is one common style of depiction in which successful pictorial representation depends as much on a picture's systematic differences with the scene depicted as on the similarities; it cannot be analyzed (...)
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  7. Gestalt Psychology and the Philosophy of Mind.William Epstein & Gary Hatfield - 1994 - Philosophical Psychology 7 (2):163-181.
    The Gestalt psychologists adopted a set of positions on mind-body issues that seem like an odd mix. They sought to combine a version of naturalism and physiological reductionism with an insistence on the reality of the phenomenal and the attribution of meanings to objects as natural characteristics. After reviewing basic positions in contemporary philosophy of mind, we examine the Gestalt position, characterizing it m terms of phenomenal realism and programmatic reductionism. We then distinguish Gestalt philosophy of mind from instrumentalism and (...)
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  8. Categoricity.John Corcoran - 1980 - History and Philosophy of Logic 1 (1):187-207.
    After a short preface, the first of the three sections of this paper is devoted to historical and philosophic aspects of categoricity. The second section is a self-contained exposition, including detailed definitions, of a proof that every mathematical system whose domain is the closure of its set of distinguished individuals under its distinguished functions is categorically characterized by its induction principle together with its true atoms (atomic sentences and negations of atomic sentences). The third section deals with applications especially those (...)
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  9. What Constitutes a Formal Analogy?Kenneth Olson & Gilbert Plumer - 2002 - In Hans V. Hansen, Christopher W. Tindale, J. Anthony Blair, Ralph H. Johnson & Robert C. Pinto (eds.), Argumentation and its Applications [CD-ROM]. Ontario Society for the Study of Argumentation. pp. 1-8.
    There is ample justification for having analogical material in standardized tests for graduate school admission, perhaps especially for law school. We think that formal-analogy questions should compare different scenarios whose structure is the same in terms of the number of objects and the formal properties of their relations. The paper deals with this narrower question of how legitimately to have formal analogy test items, and the broader question of what constitutes a formal analogy in general.
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  10. Seeing What is Not Seen.Gabrielle Jackson - 2018 - Phenomenology and the Cognitive Sciences 17 (3):503-519.
    This paper connects ideas from twentieth century Gestalt psychology, experiments in vision science, and Maurice Merleau-Ponty’s phenomenology of perception. I propose that when we engage in simple sensorimotor tasks whose successful completion is open, our behavior may be motivated by practical perceptual awareness alone, responding to invariant features of the perceptual field that are invisible to other forms of perceptual awareness. On this view, we see more than we think we see, as evidenced by our skillful bodily behavior.
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  11.  38
    Beyond Proportional Analogy: A Structural Model of Analogical Mapping.Eric Steinhart - 1994 - Pragmatics and Cognition 2 (1):95-129.
    A model of analogical mapping is proposed that uses five principles to generate consistent and conflicting hypotheses regarding assignments of elements of a source domain to analogous elements of a target domain. The principles follow the fine conceptual structure of the domains. The principles are: (1) the principle of proportional analogy; (2) the principle of mereological analogy, (3) the principle of chain reinforcement; (4) the principle of transitive reinforcement; and (5) the principle of mutual inconsistency. A constraint-satisfaction network is used (...)
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  12.  42
    Legislative Terrorism: A Primer for the Non-Islamic State.Gwendolyn Yvonne Alexis - 2003 - Dissertation, New School for Social Research
    In industrial societies where civil law and state institutions have become well established secular vehicles for governing the populace, it is widely assumed that the state no longer has an interest in fortifying the religious sector as a complementary source of social control. Thus, a distinction is drawn between the Islamic state that is ruled by religious law and the secular state of Western industrial societies in which religion is deemed to have lost its influence in the public sphere. This (...)
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  13. Logicality and Invariance.Denis Bonnay - 2006 - Bulletin of Symbolic Logic 14 (1):29-68.
    What is a logical constant? The question is addressed in the tradition of Tarski's definition of logical operations as operations which are invariant under permutation. The paper introduces a general setting in which invariance criteria for logical operations can be compared and argues for invariance under potential isomorphism as the most natural characterization of logical operations.
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  14. Sameness of Fregean Sense.Susanna Schellenberg - 2012 - Synthese 189 (1):163-175.
    This paper develops a criterion for sameness of Fregean senses. I consider three criteria: logical equivalence, intensional isomorphism, and epistemic equipollence. I reject the first two and argue for a version of the third.
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  15. Direct Perception and Simulation: Stein’s Account of Empathy.Monika Dullstein - 2013 - Review of Philosophy and Psychology 4 (2):333-350.
    The notion of empathy has been explicated in different ways in the current debate on how to understand others. Whereas defenders of simulation-based approaches claim that empathy involves some kind of isomorphism between the empathizer’s and the target’s mental state, defenders of the phenomenological account vehemently deny this and claim that empathy allows us to directly perceive someone else’s mental states. Although these views are typically presented as being opposed, I argue that at least one version of a simulation-based (...)
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  16. Modal Ω-Logic: Automata, Neo-Logicism, and Set-Theoretic Realism.Hasen Khudairi - 2019 - In Matteo Vincenzo D'Alfonso & Don Berkich (eds.), On the Cognitive, Ethical, and Scientific Dimensions of Artificial Intelligence. Springer. pp. 65-82.
    This essay examines the philosophical significance of Ω-logic in Zermelo-Fraenkel set theory with choice (ZFC). The dual isomorphism between algebra and coalgebra permits Boolean-valued algebraic models of ZFC to be interpreted as coalgebras. The modal profile of Ω-logical validity can then be countenanced within a coalgebraic logic, and Ω-logical validity can be defined via deterministic automata. I argue that the philosophical significance of the foregoing is two-fold. First, because the epistemic and modal profiles of Ω-logical validity correspond to those (...)
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  17. Rethinking Hegel's Conceptual Realism.W. Clark Wolf - 2018 - Review of Metaphysics 72 (2):331-70.
    In this paper, I contest increasingly common "realist" interpretations of Hegel's theory of "the concept" (der Begriff), offering instead a "isomorphic" conception of the relation of concepts and the world. The isomorphism recommended, however, is metaphysically deflationary, for I show how Hegel's conception of conceptual form creates a conceptually internal standard for the adequacy of concepts. No "sideways-on" theory of the concept-world relationship is envisioned. This standard of conceptual adequacy is also "graduated" in that it allows for a lack (...)
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  18.  29
    Analogical Truth-Conditions for Metaphors.Eric Steinhart - 1994 - Metaphor and Symbolic Activity 9 (3):161-178.
    It has often been said that metaphors are based on analogies, but the nature of this relation has never been made precise. This article rigorously and formally specifies two semantic relations that do obtain between some metaphors and analogies. We argue that analogies often provide conditions of meaningfulness and truth for metaphors. An analogy is treated as an isomorphism from a source to topic domain. Metaphors are thought of as surface structures. Formal analogical conditions of meaningfulness and truth are (...)
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  19. Russell and the Newman Problem Revisited.Marc Champagne - 2012 - Analysis and Metaphysics 11:65 - 74.
    In his 1927 Analysis of Matter and elsewhere, Russell argued that we can successfully infer the structure of the external world from that of our explanatory schemes. While nothing guarantees that the intrinsic qualities of experiences are shared by their objects, he held that the relations tying together those relata perforce mirror relations that actually obtain (these being expressible in the formal idiom of the Principia Mathematica). This claim was subsequently criticized by the Cambridge mathematician Max Newman as true but (...)
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  20. Frege: Two Theses, Two Senses.Carlo Penco - 2003 - History and Philosophy of Logic 24 (2):87-109.
    One particular topic in the literature on Frege’s conception of sense relates to two apparently contradictory theses held by Frege: the isomorphism of thought and language on one hand and the expressibility of a thought by different sentences on the other. I will divide the paper into five sections. In (1) I introduce the problem of the tension in Frege’s thought. In (2) I discuss the main attempts to resolve the conflict between Frege’s two contradictory claims, showing what is (...)
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  21.  98
    Why Imagining Requires Content: A Reply to a Reply to an Objection to Radical Enactive Cognition.Luke Roelofs - 2018 - Thought: A Journal of Philosophy 7 (4):246-254.
    ‘Radical enactivism’ (Hutto and Myin 2013, 2017) eschews representational content for all ‘basic’ mental activities. Critics have argued that this view cannot make sense of the workings of the imagination. In their recent book (2017), Hutto and Myin respond to these critics, arguing that some imaginings can be understood without attributing them any representational content. Their response relies on the claim that a system can exploit a structural isomorphism between two things without either of those things being a semantically (...)
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  22.  32
    Martial Metaphors and Argumentative Virtues and Vices.Ian James Kidd - forthcoming - In Alessandra Tanesini & Michael Lynch (eds.), Polarisation, Arrogance, and Dogmatism: Philosophical Perspectives. London: Routledge.
    This Chapter challenges the common claim that vicious forms of argumentative practice, like interpersonal arrogance and discursive polarisation, are caused by martial metaphors, such as ARGUMENT AS WAR. I argue that the problem isn’t the metaphor, but our wider practices of metaphorising and the ways they are deformed by invidious cultural biases and prejudices. Drawing on feminist argumentation theory, I argue that misogynistic cultures distort practices of metaphorising in two ways. First, they spotlight some associations between the martial and argumentative (...)
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  23. Evolving Artificial Minds and Brains.Alex Vereschagin, Mike Collins & Pete Mandik - 2007 - In Drew Khlentzos & Andrea Schalley (eds.), Mental States Volume 1: Evolution, function, nature. John Benjamins.
    We explicate representational content by addressing how representations that ex- plain intelligent behavior might be acquired through processes of Darwinian evo- lution. We present the results of computer simulations of evolved neural network controllers and discuss the similarity of the simulations to real-world examples of neural network control of animal behavior. We argue that focusing on the simplest cases of evolved intelligent behavior, in both simulated and real organisms, reveals that evolved representations must carry information about the creature’s environ- ments (...)
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  24.  91
    A Model-Theoretic Analysis of Fidel-Structures for mbC.Marcelo E. Coniglio - 2020 - In Can Baskent and Thomas Ferguson (ed.), Graham Priest on Dialetheism and Paraconsistency. Springer. pp. 189-216.
    In this paper the class of Fidel-structures for the paraconsistent logic mbC is studied from the point of view of Model Theory and Category Theory. The basic point is that Fidel-structures for mbC (or mbC-structures) can be seen as first-order structures over the signature of Boolean algebras expanded by two binary predicate symbols N (for negation) and O (for the consistency connective) satisfying certain Horn sentences. This perspective allows us to consider notions and results from Model Theory in order to (...)
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  25. Models in the Brain (Book Summary).Dan Ryder - manuscript
    The central idea is that the cerebral cortex is a model building machine, where regularities in the world serve as templates for the models it builds. First it is shown how this idea can be naturalized, and how the representational contents of our internal models depend upon the evolutionarily endowed design principles of our model building machine. Current neuroscience suggests a powerful form that these design principles may take, allowing our brains to uncover deep structures of the world hidden behind (...)
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  26. Heideggerian Epistemology as a Source of Kuhn's Concept of the Growth of Knowledge.Rinat Nugayev & Tanzilia Burganova - 2016 - Italian Science Review 1 (34):156-167.
    The claim that we want to put forward is that Thomas Kuhn ’s growth of knowledge concept is drawn upon Heidegger’s epistemology. To bolster the tenet the corresponding works of both thinkers are considered. As a result, the one-to-one correspondence between the key propositions of Heideggerian epistemology and the basic tenets of Kuhn ’s growth of knowledge model is dawned. The tenets under consideration include the holistic nature of a paradigm, the incommensurability thesis, conventional status of a paradigm caused by (...)
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  27. Talking About Trees and Truth-Conditions.Reinhard Muskens - 2001 - Journal of Logic, Language and Information 10 (4):417-455.
    We present Logical Description Grammar (LDG), a model ofgrammar and the syntax-semantics interface based on descriptions inelementary logic. A description may simultaneously describe the syntacticstructure and the semantics of a natural language expression, i.e., thedescribing logic talks about the trees and about the truth-conditionsof the language described. Logical Description Grammars offer a naturalway of dealing with underspecification in natural language syntax andsemantics. If a logical description (up to isomorphism) has exactly onetree plus truth-conditions as a model, it completely specifies (...)
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  28.  56
    The Principle of Totality and the Limits of Enhancement.Joshua Schulz - 2015 - Ethics and Medicine 31 (3):143-57.
    According to the Thomistic tradition, the Principle of Totality (TPoT) articulates a secondary principle of natural law which guides the exercise of human ownership or dominium over creation. In its general signification, TPoT is a principle of distributive justice determining the right ordering of wholes to their parts. In the medical field it is traditionally understood as entailing an absolute prohibition of bodily mutilation as irrational and immoral, and an imperfect obligation to use the parts of one’s body for the (...)
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  29. The Nature and Implementation of Representation in Biological Systems.Mike Collins - 2009 - Dissertation, City University of New York
    I defend a theory of mental representation that satisfies naturalistic constraints. Briefly, we begin by distinguishing (i) what makes something a representation from (ii) given that a thing is a representation, what determines what it represents. Representations are states of biological organisms, so we should expect a unified theoretical framework for explaining both what it is to be a representation as well as what it is to be a heart or a kidney. I follow Millikan in explaining (i) in terms (...)
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  30.  79
    Consciousness as Computation: A Defense of Strong AI Based on Quantum-State Functionalism.R. Michael Perry - 2006 - In Charles Tandy (ed.), Death and Anti-Death, Volume 4: Twenty Years After De Beauvoir, Thirty Years After Heidegger. Palo Alto: Ria University Press.
    The viewpoint that consciousness, including feeling, could be fully expressed by a computational device is known as strong artificial intelligence or strong AI. Here I offer a defense of strong AI based on machine-state functionalism at the quantum level, or quantum-state functionalism. I consider arguments against strong AI, then summarize some counterarguments I find compelling, including Torkel Franzén’s work which challenges Roger Penrose’s claim, based on Gödel incompleteness, that mathematicians have nonalgorithmic levels of “certainty.” Some consequences of strong AI are (...)
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  31. Computers, Dynamical Systems, Phenomena, and the Mind.Marco Giunti - 1992 - Dissertation, Indiana University
    This work addresses a broad range of questions which belong to four fields: computation theory, general philosophy of science, philosophy of cognitive science, and philosophy of mind. Dynamical system theory provides the framework for a unified treatment of these questions. ;The main goal of this dissertation is to propose a new view of the aims and methods of cognitive science--the dynamical approach . According to this view, the object of cognitive science is a particular set of dynamical systems, which I (...)
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  32.  51
    Combining Algebraizable Logics.A. Jánossy, Á Kurucz & Á. E. Eiben - 1996 - Notre Dame Journal of Formal Logic 37 (2):366-380.
    The general methodology of "algebraizing" logics is used here for combining different logics. The combination of logics is represented as taking the colimit of the constituent logics in the category of algebraizable logics. The cocompleteness of this category as well as its isomorphism to the corresponding category of certain first-order theories are proved.
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  33. Mathematics as Make-Believe: A Constructive Empiricist Account.Sarah Elizabeth Hoffman - 1999 - Dissertation, University of Alberta (Canada)
    Any philosophy of science ought to have something to say about the nature of mathematics, especially an account like constructive empiricism in which mathematical concepts like model and isomorphism play a central role. This thesis is a contribution to the larger project of formulating a constructive empiricist account of mathematics. The philosophy of mathematics developed is fictionalist, with an anti-realist metaphysics. In the thesis, van Fraassen's constructive empiricism is defended and various accounts of mathematics are considered and rejected. Constructive (...)
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  34.  7
    Filosofia Analitica e Filosofia Continentale.Sergio Cremaschi, Karl-Otto Apel, Jürgen Habermas, Michael Strauss, Ernst Tugendhat, Zvie Bar-On, Roberta De-Monticelli, Kuno Lorenz, Albrecht Wellmer & Rüdiger Bubner - 1997 - 50018 Scandicci, Metropolitan City of Florence, Italy: La Nuova Italia.
    ● Sergio Cremaschi, The non-existing Island. I discuss the way in which the cleavage between the Continental and the Anglo-American philosophies originated, the (self-)images of both philosophical worlds, the converging rediscoveries from the Seventies, as well as recent ecumenic or anti-ecumenic strategies. I argue that pragmatism provides an important counter-instance to both the familiar self-images and to the fashionable ecumenic or anti-ecumenic strategies. My conclusions are: (i) the only place where Continental philosophy exists (as Euro-Communism one decade ago) is America; (...)
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  35. Martin Heidegger and Modern Models of the Growth of Knowledge.Rinat Nugayev & Tanzilia Burganova - 2016 - Lambert Academic Publishing.
    Modern generally accepted models of the growth of knowledge are scrutinized. It is maintained that Thomas Kuhn’s growth of knowledge model is grounded preeminently on Heidegger’s epistemology. To justify the tenet the corresponding works of both thinkers are considered. As a result, the one-to-one correspondence between the key propositions of Heideggerian epistemology and the basic tenets of Kuhn’s growth of knowledge model is elicited. The tenets under consideration include the holistic nature of a paradigm, the incommensurability thesis, conventional status of (...)
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  36.  74
    A Critique of the Causal Theory of Memory.Marina Trakas - 2010 - Dissertation,
    In this Master's dissertation, I try to show that the causal theory of memory, which is the only theory developed so far that at first view seems more plausible and that could be integrated with psychological explanations and investigations of memory, shows some conceptual and ontological problems that go beyond the internal inconsistencies that each version can present. On one hand, the memory phenomenon analyzed is very limited: in general it is reduced to the conscious act of remembering expressed in (...)
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  37.  47
    Ontology of Knowledge and the Form of the World 20200505.Jean-Louis Boucon - 2020 - Academia.
    In this article, we will try to illustrate how, according to the Ontology of Knowledge (OK), reality appears to the subject in the form of objects « in becoming » in a four-dimensional space whose time of the subject (his becoming) would be a privileged dimension. For the OK, reality is formless and it is the subject that gives it shape. The shape of the world results from the Logos, a transcendent principle by which the complexity of logical interdependence, the (...)
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  38.  17
    Is Mass at Rest One and the Same? A Philosophical Comment: On the Quantum Information Theory of Mass in General Relativity and the Standard Model.Vasil Penchev - 2014 - Journal of SibFU. Humanities and Social Sciences 7 (4):704-720.
    The way, in which quantum information can unify quantum mechanics (and therefore the standard model) and general relativity, is investigated. Quantum information is defined as the generalization of the concept of information as to the choice among infinite sets of alternatives. Relevantly, the axiom of choice is necessary in general. The unit of quantum information, a qubit is interpreted as a relevant elementary choice among an infinite set of alternatives generalizing that of a bit. The invariance to the axiom of (...)
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  39. Meaning and the Structure of Consciousness: An Essay in Psycho-Aesthetics.Bruce Burridge Mangan - 1991 - Dissertation, University of California, Berkeley
    This study explores the interface between conscious and nonconscious mental processes using phenomenological analysis, information processing cognitive psychology, connectionism and traditional aesthetic theories. It attempts to explain how global, evaluative information--especially the primitive feeling of 'rightness' or 'making sense'--is represented in consciousness. ;Many lines of evidence confirm and extend William James' nucleus/fringe model of consciousness: surrounding clear experience in focal attention is a fringe of vague experience. Context information in general, and the feeling of rightness in particular, occupy the fringe. (...)
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  40.  53
    Introduction to the Ontology of Knowledge Iss. 20200616.Jean-Louis Boucon - 2020
    To the classic ontological question "What is the being?", the Ontology of Knowledge (OK) replies: "There is no being in reality. Reality is vacant of form. The knowing subject is Individuation, he is representation, he creates forms." The OK then tries to answer the question "How is the knowing subject led to represent a universe populated by beings in the becoming?" -/- Summary: Reality is pure logical interdependence, immanent, formless, unspeakable. Logos is a principle of order in this interdependence. Individuation (...)
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  41.  96
    DAS AUßER-SICH-SEIN BEI SCHELLING UND HEIDEGGER.Andrei Patkul - 2015 - HORIZON. Studies in Phenomenology 4 (2):121-138.
    The author of the article framed the question of the possible relevance of the treatment of the Schelling's philosophy in the context of a phenomenological one. Thereby, he points its problematic character, referencing Husserl's treatment of German idealism after Kant (including the thought of Schelling) as the romantic idealism. At the same time, he also states the influence of Schelling on the few phenomenologists who made their careers after Husserl. The article's author reviews the concept of the «being outside-itself» or (...)
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