Results for 'n-dimensional normative Assertibility space'

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  1. A Coding Conception of Action-Directed Pragmatics.Igal Kvart - manuscript
    Igal Kvart A Coding Conception in Action-Directed-Pragmatics -/- I present formal Pragmatics for a domain in Pragmatics that I call Action-Directed Pragmatics, which focuses on the Pragmatic riddle of how implicit contents are conveyed and understood, by adopting a coding model, in which the speaker and addressee simulate each other iteratively in a deliberative context (an ‘action-pregnant’ one). The implicit content, conveyed by a speaker and decoded by her addressee, in such cases, consists in the specified steered-to action, plus modulations (...)
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  2. Quantum Mechanics and 3 N - Dimensional Space.Bradley Monton - 2006 - Philosophy of Science 73 (5):778-789.
    I maintain that quantum mechanics is fundamentally about a system of N particles evolving in three-dimensional space, not the wave function evolving in 3N-dimensional space.
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  3.  43
    Four-dimensional color space.E. N. Sokolov - 1997 - Behavioral and Brain Sciences 20 (2):207-208.
    Multidimensional scaling of subjective color differences has shown that color stimuli are located on a hypersphere in four-dimensional space. The semantic space of color names is isomorphic with perceptual color space. A spherical four-dimensional space revealed in monkeys and fish suggests the primacy of common neuronal basis.
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  4.  34
    Assertion and Its Many Norms.John N. Williams - 2017 - Manuscrito 40 (4):39-76.
    ABSTRACT Timothy Williamson offers the ordinary practice, the lottery and the Moorean argument for the ‘knowledge account’ that assertion is the only speech-act that is governed by the single rule that one must know its content. I show that these fail to support it and that the emptiness of the knowledge account renders mysterious why breaking the knowledge rule should be a source of criticism. I argue that focussing exclusively on the sincerity of the speech-act of letting one know engenders (...)
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  5. Pointing in three-dimensional space.N. Schoumans, A. C. Sittig & J. J. D. van der Gon - 1996 - In Enrique Villanueva (ed.), Perception. Ridgeview Pub. Co. pp. 59-59.
     
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  6. Conspectus of J. R. Smythies' Theories of Mind, Matter, and N-Dimensional Space.Peter Sjöstedt-H. - manuscript
    Conspectus of part of John R. Smythies' Analysis of Perception (1956). It presents a summary of his ideas on phenomenal space – the space of one’s imagination, dreams, psychedelic experiences, somatic sensations, visions, hynagogia, etc. – and its relation to physical space.
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  7. John R. Smythies’ Theories of Mind, Matter, and N-Dimensional Space: Conspectus of part of Analysis of Perception.Peter Sjöstedt-H. - manuscript
    Conspectus of part of John R. Smythies' Analysis of Perception (1956). It presents a summary of his ideas on phenomenal space – the space of one’s imagination, dreams, psychedelic experiences, somatic sensations, visions, hynagogia, etc. – and its relation to physical space.
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  8. Euclides ab omni naevo vindicatus.J. R. Lucas - 1969 - British Journal for the Philosophy of Science 20 (1):1-11.
    The issue is obscured by the fact that the word `space' can be used in four different ways. It can be used, first, as a term of pure mathematics, as when mathematicians talk of an `n-dimensional phase-space', an `n-dimensional vector-space', a `three-dimensional projective space' or a `twodimensional Riemannian space'. In this sense the word `space' means the totality of the abstract entities-the `points'-implicitly defined by the axioms. There is no doubt that (...)
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  9.  41
    A hidden measurement representation for quantum entities described by finite-dimensional complex Hilbert spaces.Bob Coecke - 1995 - Foundations of Physics 25 (8):1185-1208.
    It will be shown that the probability calculus of a quantum mechanical entity can be obtained in a deterministic framework, embedded in a real space, by introducing a lack of knowledge in the measurements on that entity. For all n ∃ ℕ we propose an explicit model in $\mathbb{R}^{n^2 } $ , which entails a representation for a quantum entity described by an n-dimensional complex Hilbert space þn, namely, the “þn,Euclidean hidden measurement representation.” This Euclidean hidden measurement (...)
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  10.  7
    Constraints on complexity seen via fused vectors of an n-dimensional semantic space.Carl D. Dubois, John Upton & Kenneth L. Pike - 1980 - Semiotica 29 (3-4).
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  11.  57
    Linear independence without choice.Douglas Bridges, Fred Richman & Peter Schuster - 1999 - Annals of Pure and Applied Logic 101 (1):95-102.
    The notions of linear and metric independence are investigated in relation to the property: if U is a set of n+1 independent vectors, and X is a set of n independent vectors, then adjoining some vector in U to X results in a set of n+1 independent vectors. It is shown that this property holds in any normed linear space. A related property – that finite-dimensional subspaces are proximinal – is established for strictly convex normed spaces over the (...)
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  12.  53
    Shareholder Primacy, Corporate Social Responsibility, and the Role of Business Schools.N. Craig Smith & David Rönnegard - 2016 - Journal of Business Ethics 134 (3):463-478.
    This paper examines the shareholder primacy norm as a widely acknowledged impediment to corporate social responsibility and explores the role of business schools in promoting the SPN but also potentially as an avenue for change by addressing misconceptions about shareholder primacy and the purpose of business. We start by explaining the SPN and then review its status under US and UK laws and show that it is not a likely legal requirement, at least under the guise of shareholder value maximization. (...)
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  13.  16
    Women, priests and patriarchal ecclesial spaces in the Anglican Church of Southern Africa: On 'interruption' as a transformative rhetorical strategy.Miranda N. Pillay - 2020 - HTS Theological Studies 76 (1).
    In spite of the presence of women in previously male-dominated ecclesial spaces, patriarchal normativity continues to be re-inscribed through the reproduction of knowledge, which sustains skewed gender power relations amongst the clergy. This was a case in point when a newly ordained woman priest in the Anglican Church of Southern Africa was recently addressed as, and given the official title, ‘mother’ during the vestment ritual at a church service where she was to celebrate the Eucharist for the first time. This (...)
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  14. Perceptual-cognitive universals as reflections of the world.Roger N. Shepard - 2001 - Behavioral and Brain Sciences 24 (4):581-601.
    The universality, invariance, and elegance of principles governing the universe may be reflected in principles of the minds that have evolved in that universe – provided that the mental principles are formulated with respect to the abstract spaces appropriate for the representation of biologically significant objects and their properties. (1) Positions and motions of objects conserve their shapes in the geometrically fullest and simplest way when represented as points and connecting geodesic paths in the six-dimensional manifold jointly determined by (...)
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  15. Norms of assertion in the United States, Germany, and Japan.Markus Https://Orcidorg Kneer - 2021 - Proceedings of the National Academy of Sciences of the United States of America 118 (37):e2105365118.
    The recent controversy about misinformation has moved a question into the focus of the public eye that has occupied philosophers for decades: Under what conditions is it appropriate to assert a certain claim? When asserting a claim that x, must one know that x? Must x be true? Might it be normatively acceptable to assert whatever one believes? In the largest cross-cultural study to date (total n = 1,091) on the topic, findings from the United States, Germany, and Japan suggest (...)
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  16.  17
    The “Unknown” Middle Easterner: Post-Racial Anxieties and Anti-MENA Racism Throughout Colonized Space-Time.George N. Fourlas - 2021 - Critical Philosophy of Race 9 (1):48-70.
    Here, the claim that Middle Eastern persons are racialized is a response to complexities that define the United States ; namely, the language of race is seen as antiquated or misleading, and thus it fails to capture MENA American experiences, leading some to call for different terminology. The author argues that we should call social-political violence committed against MENA people racism because to name it otherwise is to ground the experience in an incomplete description which affords lighter moral responsibility and (...)
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  17.  28
    What counts as the evidence for three-dimensional and four-dimensional spatial representations?Ranxiao Frances Wang & Whitney N. Street - 2013 - Behavioral and Brain Sciences 36 (5):567 - 568.
    The dimension of spatial representations can be assessed by above-chance performance in novel shortcut or spatial reasoning tasks independent of accuracy levels, systematic biases, mosaic/segmentation across space, separate coding of individual dimensions, and reference frames. Based on this criterion, humans and some other animals exhibited sufficient evidence for the existence of three-dimensional and/or four-dimensional spatial representations.
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  18.  10
    Principles of Discourse Ethics and Human Existence in Times of War.N. K. Petruk & O. V. Gapchenko - 2023 - Anthropological Measurements of Philosophical Research 23:44-54.
    _Purpose._ The authors of this paper seek to comprehend, on the basis of ethics of discourse and communicative philosophy, the dimensions of human existence in times of war. This involves solving the following research tasks: to show the importance of moral and ethical norms in the structure of human existence and to emphasize the need for their observance by a person in the realities of war; to find out what the role of responsibility and co-responsibility is in preserving the (...) of human existence in times of war; to explore the influence of discourse on the establishment of rational and social dimensions of human existence, formation of communicative space of understanding. _Theoretical basis._ The ideas of communicative philosophy and principles of discourse ethics, focused on the problems of substantiating ethical norms and values in their relationship with the human life world, and its activities are underlying the research. The analysis of human existence in times of war was carried out considering the theoretical and methodological foundations of philosophical anthropology. _Originality._ It is substantiated that the recognition of the universality of moral norms and values, and the productive power of communication contribute to deepening the understanding of the complexity and versatility of human existence in times of war. It has been determined that human existence’s rational and moral dimensions acquire particular significance in the context of russian aggression against Ukraine. The role of discourse was defined for affirming the humanistic foundations of human existence, in achieving cohesion, interaction, social solidarity, which is a condition for human development as a collective and unique being. It is noted that in war conditions the value of individual forms of human existence is complemented by the obligatory responsibility and co-responsibility for a person, awareness of the significance of coexistence in a situation where there is a threat to human life. _Conclusions._ The study of human existence involves the use of the methodological potential of discourse ethics, the significance of the ideas of which is increasing in the modern world because of the dangers caused by russian aggression against Ukraine. The recognition of the power of universal moral norms and the productive power of communication results in the affirmation of the humanistic foundations of human existence, the formation of the communicative space of understanding and consent necessary for a person. In times of war, the need for communicative rationalization of human existence, awareness of the value of morality and human humanity becomes obvious. (shrink)
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  19.  39
    Modelling criteria: Not just for robots.George N. Reeke - 2001 - Behavioral and Brain Sciences 24 (6):1074-1075.
    Webb's scheme for classifying behavioral models is applicable to a wide range of theories and simulations, nonrobotic as well as robotic. It is suggested that a meta-analysis of existing models, characterized according to the proposed scheme, could identify regions of the seven-dimensional modelling space that are particularly likely to lead to new insights in understanding behavior.
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  20. Moore’s Paradox and the Priority of Belief Thesis.John N. Williams - 2013 - Philosophical Studies 165 (3):1117-1138.
    Moore’s paradox is the fact that assertions or beliefs such asBangkok is the capital of Thailand but I do not believe that Bangkok is the capital of Thailand or Bangkok is the capital of Thailand but I believe that Bangkok is not the capital of Thailand are ‘absurd’ yet possibly true. The current orthodoxy is that an explanation of the absurdity should first start with belief, on the assumption that once the absurdity in belief has been explained then this will (...)
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  21. Against 3N-Dimensional Space.Bradley Monton - 2013 - In Alyssa Ney & David Albert (eds.), The Wave Function: Essays in the Metaphysics of Quantum Mechanics. , US: Oxford University Press.
    I argue that space has three dimensions, and quantum mechanics does not show otherwise. Specifically, I argue that the mathematical wave function of quantum mechanics corresponds to a property that an N-particle system has in three-dimensional space.
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  22.  24
    Physics and the Measurement of Continuous Variables.R. N. Sen - 2008 - Foundations of Physics 38 (4):301-316.
    This paper addresses the doubts voiced by Wigner about the physical relevance of the concept of geometrical points by exploiting some facts known to all but honored by none: Almost all real numbers are transcendental; the explicit representation of any one will require an infinite amount of physical resources. An instrument devised to measure a continuous real variable will need a continuum of internal states to achieve perfect resolution. Consequently, a laboratory instrument for measuring a continuous variable in a finite (...)
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  23.  17
    Vector code differences and similarities.E. N. Sokolov - 1998 - Behavioral and Brain Sciences 21 (4):479-480.
    Edelman suggests that any shape is encoded by an excitation vector with components corresponding to excitations of corresponding neuronal modules. This results in discrimination of stimuli in a shape space of low dimensionality. Similar vector encoding is present in color vision. Red-green, blue-yellow, bright and dark neurons are modules that represent a number of different color stimuli in color space of low dimensionality. Vector encoding allows effective computation of color differences and color similarities. Such a neuronal vector-encoding approach (...)
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  24. Expanding the Duty to Rescue to Climate Migration.David N. Hoffman, Anne Zimmerman, Camille Castelyn & Srajana Kaikini - 2022 - Voices in Bioethics 8.
    Photo by Jonathan Ford on Unsplash ABSTRACT Since 2008, an average of twenty million people per year have been displaced by weather events. Climate migration creates a special setting for a duty to rescue. A duty to rescue is a moral rather than legal duty and imposes on a bystander to take an active role in preventing serious harm to someone else. This paper analyzes the idea of expanding a duty to rescue to climate migration. We address who should have (...)
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  25.  25
    On infinite‐dimensional Banach spaces and weak forms of the axiom of choice.Paul Howard & Eleftherios Tachtsis - 2017 - Mathematical Logic Quarterly 63 (6):509-535.
    We study theorems from Functional Analysis with regard to their relationship with various weak choice principles and prove several results about them: “Every infinite‐dimensional Banach space has a well‐orderable Hamel basis” is equivalent to ; “ can be well‐ordered” implies “no infinite‐dimensional Banach space has a Hamel basis of cardinality ”, thus the latter statement is true in every Fraenkel‐Mostowski model of ; “No infinite‐dimensional Banach space has a Hamel basis of cardinality ” is (...)
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  26.  46
    Seeing with the Body: The Digital Image in Postphotography.Mark B. N. Hansen - 2001 - Diacritics 31 (4):54-82.
    In lieu of an abstract, here is a brief excerpt of the content:Diacritics 31.4 (2001) 54-82 [Access article in PDF] Seeing With The Body The Digital Image In Postphotography Mark B. N. Hansen In a well-known scene from the 1982 Ridley Scott film Bladerunner, Rick Deckard scans a photograph into a 3-D rendering machine and directs the machine to explore the space condensed in the two-dimensional photograph as if it were three-dimensional [see fig. 1]. Following Deckard's commands (...)
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  27.  19
    Tree-like constructions in topology and modal logic.G. Bezhanishvili, N. Bezhanishvili, J. Lucero-Bryan & J. Van Mill - 2020 - Archive for Mathematical Logic 60 (3):265-299.
    Within ZFC, we develop a general technique to topologize trees that provides a uniform approach to topological completeness results in modal logic with respect to zero-dimensional Hausdorff spaces. Embeddings of these spaces into well-known extremally disconnected spaces then gives new completeness results for logics extending S4.2.
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  28. Spiritual Presence and Dimensional Space beyond the Cosmos.Hylarie Kochiras - 2012 - Intellectual History Review 22 (1):41-68.
    This paper examines connections between concepts of space and extension on the one hand and immaterial spirits on the other, specifically the immanentist concept of spirits as present in rerum natura. Those holding an immanentist concept, such as Thomas Aquinas, typically understood spirits non-dimensionally as present by essence and power; and that concept was historically linked to holenmerism, the doctrine that the spirit is whole in every part. Yet as Aristotelian ideas about extension were challenged and an actual, infinite, (...)
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  29.  55
    How to Ask a Question in the Space of Reasons:Assertions, Queries, and the Normative Structure of Minimally Discursive Practices.Jared A. Millson - 2014 - Dissertation, Emory University
    Robert Brandom's normative-pragmatic theory is intended to represent the minimal set of practical abilities whose exhibition qualifies creatures as speaking a language. His model of a minimally discursive practice (MDP) is one in which participants, devoid of logical vocabulary, are only capable of making assertions and drawing inferences. This dissertation argues that Brandom's purely assertional practices are not MDPs and that speech acts of asking questions (queries) must be included in any practice that counts as an MDP. I propose (...)
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  30. Eliminativism, Dialetheism and Moore's Paradox.John N. Williams - 2013 - Theoria 81 (1):27-47.
    John Turri gives an example that he thinks refutes what he takes to be “G. E. Moore's view” that omissive assertions such as “It is raining but I do not believe that it is raining” are “inherently ‘absurd'”. This is that of Ellie, an eliminativist who makes such assertions. Turri thinks that these are perfectly reasonable and not even absurd. Nor does she seem irrational if the sincerity of her assertion requires her to believe its content. A commissive counterpart of (...)
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  31. Sorites without vagueness I: Classificatory sorites.Ehtibar N. Dzhafarov & Damir D. Dzhafarov - 2010 - Theoria 76 (1):4-24.
    An abstract mathematical theory is presented for a common variety of soritical arguments, treated here in terms of responses of a system, say, a biological organism, a gadget, or a set of normative linguistic rules, to stimuli. Any characteristic of the system's responses which supervenes on stimuli is called a stimulus effect upon the system. Classificatory sorites is about the identity of or difference between the effects of stimuli that differ 'only microscopically'. We formulate the classificatory sorites on arguably (...)
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  32.  11
    Gendered Agency in Skilled Migration: The Case of Indian Women in the United States.Namita N. Manohar - 2019 - Gender and Society 33 (6):935-960.
    This article examines how skilled middle-class Tamil women—an Indian regional group—negotiate with gender to strategize immigration to and settlement in the United States by drawing on life-history interviews with 33 first-generation professional women, most of whom entered the United States as family migrants. I find that the women negotiate with gender to configure Tamil Brahminical relations of subordination, thereby asserting their subjectivity through “strident embedded agency” in immigration. In this way, they realize gender non-normative desires for immigration, engage in (...)
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  33.  44
    Hypocritical Blame: A Question for the Normative Accounts of Assertion.Ivan Milić - 2020 - Philosophia 48 (4):1543-1549.
    An agent A blames B hypocritically for violating a moral norm N if and only if: A is likewise blameworthy for violating N, and A is not disposed to blame herself for violating N. Normally, an assertion involving blame is retracted following the objection that and hold. I discuss two prima facie explanations for such a withdrawal: that the objection hampers the speaker’s assertoric authority, rendering and the necessary condition to assert, and that the joint condition is, instead, merely a (...)
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  34.  23
    De wiskundige rede.W. N. A. Klever - 1984 - Tijdschrift Voor Filosofie 46 (4):611 - 642.
    Philosophers of science don't very often discuss the place of mathematics between other sciences or the meaning of mathematics for other sciences. They consider mathematics as a formal language with mainly analytical statements about the use of symbols (Carnap, Russell, Ayer ). Originally Wittgenstein defended this formalistic interpretation of mathematics in his TLP. Gradually, however, he develops himself towards an intuitionistic and ontological position, in which mathematics is conceived as the central and therefore normative part of our thought (of (...)
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  35.  24
    The Phenomenal Hyperspace: A Study of the Dimensional and Spatio-temporal Structures of Phenomenal Space and Binding.Pekka Rechardt - 2023 - Journal of Consciousness Studies 30 (3):106-131.
    The dimensional structure of phenomenal space and its relation to the brain have not been widely focused on in brain and consciousness studies. This paper postulates that focusing on the dimensional structures displayed in the relation between phenomenal space and the brain is necessary for understanding the integration of distributed brain events in binding. A related issue is why items and events of phenomenal space and consciousness as they appear in experience seem to be beyond (...)
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  36. Assertion, knowledge and predictions.Matthew Benton - 2012 - Analysis 72 (1):102-105.
    John N. Williams (1994) and Matthew Weiner (2005) invoke predictions in order to undermine the normative relevance of knowledge for assertions; in particular, Weiner argues, predictions are important counterexamples to the Knowledge Account of Assertion (KAA). I argue here that they are not true counterexamples at all, a point that can be agreed upon even by those who reject KAA.
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  37.  12
    Comparison of Weighted Lag Adaptive LASSO with Autometrics for Covariate Selection and Forecasting Using Time-Series Data.Sara Muhammadullah, Amena Urooj, Faridoon Khan, Mohammed N. Alshahrani, Mohammed Alqawba & Sanaa Al-Marzouki - 2022 - Complexity 2022:1-10.
    In order to reduce the dimensionality of parameter space and enhance out-of-sample forecasting performance, this research compares regularization techniques with Autometrics in time-series modeling. We mainly focus on comparing weighted lag adaptive LASSO with Autometrics, but as a benchmark, we estimate other popular regularization methods LASSO, AdaLASSO, SCAD, and MCP. For analytical comparison, we implement Monte Carlo simulation and assess the performance of these techniques in terms of out-of-sample Root Mean Square Error, Gauge, and Potency. The comparison is assessed (...)
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  38.  41
    Geometry as an aspect of dynamics.A. L. L. Videira, A. L. Rocha Barros & N. C. Fernandes - 1985 - Foundations of Physics 15 (12):1247-1262.
    Contrary to the predominant way of doing physics, we claim that the geometrical structure of a general differentiable space-time manifold can be determined from purely dynamical considerations. Anyn-dimensional manifoldV a has associated with it a symplectic structure given by the2n numbersp andx of the2n-dimensional cotangent fiber bundle TVn. Hence, one is led, in a natural way, to the Hamiltonian description of dynamics, constructed in terms of the covariant momentump (a dynamical quantity) and of the contravariant position vectorx (...)
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  39.  14
    Has a fully three-dimensional space map never evolved in any species? A comparative imperative for studies of spatial cognition.Cynthia F. Moss - 2013 - Behavioral and Brain Sciences 36 (5):557-557.
    I propose that it is premature to assert that a fully three-dimensional map has never evolved in any species, as data are lacking to show that space coding in all animals is the same. Instead, I hypothesize that three-dimensional representation is tied to an animal's mode of locomotion through space. Testing this hypothesis requires a large body of comparative data.
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  40.  40
    What Is a Political Constitution?Graham Gee & Grégoire C. N. Webber - 2010 - Oxford Journal of Legal Studies 30 (2):273-299.
    The question—what is a political constitution?—might seem, at first blush, fairly innocuous. At one level, the idea of a political constitution seems fairly well settled, at least insofar as most political constitutionalists subscribe to a similar set of commitments, arguments and assumptions. At a second, more reflective level, however, there remains some doubt whether a political constitution purports to be a descriptive or normative account of a real world constitution, such as Britain’s. By exploring the idea of a political (...)
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  41.  15
    Cognitive Factors Related to Metaphor Goodness in Poetic and Non-literary Metaphor.J. Nick Reid, Hamad Al-Azary & Albert N. Katz - 2023 - Metaphor and Symbol 38 (2):130-148.
    In this paper we examine the effect of two cognitive variables, Semantic Neighborhood Density and Interpretive Diversity, in first, distinguishing between literary (poetic) and nonliterary metaphor, and second, in determining what makes for a good metaphor. Analyses of items taken from a widely used set ofmetaphor norms indicated that while literary and nonliterary metaphor did not differ in many ways, the poetic items tended to 1) contain concepts that came from a more dense semantic space, 2) contain topic and (...)
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  42.  75
    Clifford Space as the Arena for Physics.Matej Pavšsič - 2003 - Foundations of Physics 33 (9):1277-1306.
    A new theory is considered according to which extended objects in n-dimensional space are described in terms of multivector coordinates which are interpreted as generalizing the concept of center of mass coordinates. While the usual center of mass is a point, by generalizing the latter concept, we associate with every extended object a set of r-loops, r=0,1,...,n−1, enclosing oriented (r+1)-dimensional surfaces represented by Clifford numbers called (r+1)-vectors or multivectors. Superpositions of multivectors are called polyvectors or Clifford aggregates (...)
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  43.  13
    Three-Dimensional Filial Piety Scale: Development and Validation of Filial Piety Among Chinese Working Adults.Juan Shi & Fengyan Wang - 2019 - Frontiers in Psychology 10.
    This study aimed to develop the Three-Dimensional Filial Piety Scale and explore its psychometric properties. Based on Wang’s Three-Dimensional Filial Piety Model, our study employed a review of the current literature, in-depth interviews, and feedback from experts and the target group. An initial 36-item scale using a bipolar Likert 6-point rating scale was developed. Then item analysis and exploratory factor analysis were conducted with sample 1 (n = 617) to explore the dimensions and final items, and a 15-item (...)
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  44.  80
    Killing Symmetries of Generalized Minkowski Spaces. I. Algebraic-Infinitesimal Structure of Spacetime Rotation Groups.Fabio Cardone, Alessio Marrani & Roberto Mignani - 2004 - Foundations of Physics 34 (4):617-641.
    In this paper, we introduce the concept of N-dimensional generalized Minkowski space, i.e., a space endowed with a metric tensor, whose coefficients do depend on a set of non-metrical coordinates. This is the first of a series of papers devoted to the investigation of the Killing symmetries of generalized Minkowski spaces. In particular, we discuss here the infinitesimal-algebraic structure of the space-time rotations in such spaces. It is shown that the maximal Killing group of these spaces (...)
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  45.  89
    Killing Symmetries of Generalized Minkowski Spaces. Part 2: Finite Structure of Space–Time Rotation Groups in Four Dimensions.Fabio Cardone, Alessio Marrani & Roberto Mignani - 2004 - Foundations of Physics 34 (8):1155-1201.
    In this paper, we continue the study of the Killing symmetries of an N-dimensional generalized Minkowski space, i.e., a space endowed with a metric tensor, whose coefficients do depend on a set of non-metrical coordinates. We discuss here the finite structure of the space–time rotations in such spaces, by confining ourselves to the four-dimensional case. In particular, the results obtained are specialized to the case of a “deformed” Minkowski space M_4, for which we derive (...)
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  46.  56
    Killing Symmetries of Generalized Minkowski Spaces, 3: Spacetime Translations in Four Dimensions.Fabio Cardone, Alessio Marrani & Roberto Mignani - 2004 - Foundations of Physics 34 (9):1407-1429.
    In this paper, we continue the study of the Killing symmetries of a N-dimensional generalized Minkowski space, i.e., a space endowed with a metric tensor, whose coefficients do depend on a set of non-metrical coordinates. We discuss here the translations in such spaces, by confining ourselves to the four-dimensional case. In particular, the results obtained are specialized to the case of a “deformed” Minkowski space \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\widetilde (...)
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  47.  12
    The intuitions of higher dimensional algebra for the study of structured space.Ronald Brown & Timothy Porter - 2003 - Revue de Synthèse 124 (1):173-203.
    Les algèbres de dimensions supérieures libèrent les mathématiques de la restriction d'une notation purement linéaire. Elles aident ainsi à la modélisation de la géométrie et procurent une meilleure compréhension et plus de possibilités pour les calculs. Elles nous donnent de nouveaux outils pour l'étude de problèmes non-commutatifs, de dimension supérieure qui assurent le passage du local au global, en utilisant la notion d' «inverse algébrique de subdivision». Nous allons exposer comment ces idées sont venues aux auteurs en prolongeant initialement la (...)
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  48. How to Be a Normative Expressivist.Michael Pendlebury - 2009 - Philosophy and Phenomenological Research 80 (1):182-207.
    Expressivism can make space for normative objectivity by treating normative stances as pro or con attitudes that can be correct or incorrect. And it can answer the logical challenges that bedevil it by treating a simple normative assertion not merely as an expression of a normative stance, but as an expression of the endorsement of a proposition that is true if and only if that normative stance is correct. Although this position has superficial similarities (...)
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  49.  18
    Model-theory of vector-spaces over unspecified fields.David Pierce - 2009 - Archive for Mathematical Logic 48 (5):421-436.
    Vector spaces over unspecified fields can be axiomatized as one-sorted structures, namely, abelian groups with the relation of parallelism. Parallelism is binary linear dependence. When equipped with the n-ary relation of linear dependence for some positive integer n, a vector-space is existentially closed if and only if it is n-dimensional over an algebraically closed field. In the signature with an n-ary predicate for linear dependence for each positive integer n, the theory of infinite-dimensional vector spaces over algebraically (...)
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  50.  16
    Two spaces looking for a geometer.Giorgio Parisi - 2003 - Bulletin of Symbolic Logic 9 (2):181-196.
    In this talk I will introduce two spaces: the first space is the usual n-dimensional vector space with the unusual feature that n is a non-integer; the second space is composed of the linear matrices acting on the previous space (physicists are particularly interested in studying the limit as n goes to zero). These two spaces are not known to most mathematicians, but they are widely used by physicists. It is possible that, by extending the (...)
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