Search results for 'Generalized spaces' (try it on Scholar)

1000+ found
Order:
  1.  47
    Fabio Cardone, Alessio Marrani & Roberto Mignani (2004). Killing Symmetries of Generalized Minkowski Spaces. I. Algebraic-Infinitesimal Structure of Spacetime Rotation Groups. Foundations of Physics 34 (4):617-641.
  2.  46
    Fabio Cardone, Alessio Marrani & Roberto Mignani (2004). Killing Symmetries of Generalized Minkowski Spaces. Part 2: Finite Structure of Space–Time Rotation Groups in Four Dimensions. Foundations of Physics 34 (8):1155-1201.
  3.  13
    Jan Paseka & Zdenka Riečanová (2011). Considerable Sets of Linear Operators in Hilbert Spaces as Operator Generalized Effect Algebras. Foundations of Physics 41 (10):1634-1647.
    We show that considerable sets of positive linear operators namely their extensions as closures, adjoints or Friedrichs positive self-adjoint extensions form operator (generalized) effect algebras. Moreover, in these cases the partial effect algebraic operation of two operators coincides with usual sum of operators in complex Hilbert spaces whenever it is defined. These sets include also unbounded operators which play important role of observables (e.g., momentum and position) in the mathematical formulation of quantum mechanics.
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography  
  4.  16
    Robin H. Lock (1990). The Tensor Product of Generalized Sample Spaces Which Admit a Unital Set of Dispersion-Free Weights. Foundations of Physics 20 (5):477-498.
    Techniques for constructing the tensor product of two generalized sample spaces which admit unital sets of dispersion-free weights are discussed. A duality theory is developed, based on the 1-cuts of the dispersion-free weights, and used to produce a candidate for the tensor product. This construction is verified for Dacification manuals, a conjecture is given for other reflexive cases, and some adjustments for nonreflexive cases are considered. An alternate approach, using graphs of interpretation morphisms on the duals, is also (...)
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  5.  1
    Matthias P. Kläy & David J. Foulis (1990). Maximum Likelihood Estimation on Generalized Sample Spaces: An Alternative Resolution of Simpson's Paradox. [REVIEW] Foundations of Physics 20 (7):777-799.
    We propose an alternative resolution of Simpson's paradox in multiple classification experiments, using a different maximum likelihood estimator. In the center of our analysis is a formal representation of free choice and randomization that is based on the notion of incompatible measurements.We first introduce a representation of incompatible measurements as a collection of sets of outcomes. This leads to a natural generalization of Kolmogoroff's axioms of probability. We then discuss the existence and uniqueness of the maximum likelihood estimator for a (...)
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  6.  38
    Fabio Cardone, Alessio Marrani & Roberto Mignani (2004). Killing Symmetries of Generalized Minkowski Spaces, 3: Spacetime Translations in Four Dimensions. Foundations of Physics 34 (9):1407-1429.
  7.  11
    Jan Kraszewski (2001). Properties of Ideals on the Generalized Cantor Spaces. Journal of Symbolic Logic 66 (3):1303-1320.
    We define a class of productive σ-ideals of subsets of the Cantor space 2 ω and observe that both σ-ideals of meagre sets and of null sets are in this class. From every productive σ-ideal I we produce a σ-ideal I κ , of subsets of the generalized Cantor space 2 κ . In particular, starting from meagre sets and null sets in 2 ω we obtain meagre sets and null sets in 2 κ , respectively. Then we investigate (...)
    Direct download (7 more)  
     
    Export citation  
     
    My bibliography   2 citations  
  8.  1
    Madani Moussai & Aissa Djeriou (2011). Boundedness of Some Pseudo-Differential Operators on Generalized Triebel–Lizorkin Spaces. Analysis 31 (1).
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  9.  7
    Gianni Cassinelli & Pekka Lahti (forthcoming). An Axiomatic Basis for Quantum Mechanics. Foundations of Physics:1-33.
    In this paper we use the framework of generalized probabilistic theories to present two sets of basic assumptions, called axioms, for which we show that they lead to the Hilbert space formulation of quantum mechanics. The key results in this derivation are the co-ordinatization of generalized geometries and a theorem of Solér which characterizes Hilbert spaces among the orthomodular spaces. A generalized Wigner theorem is applied to reduce some of the assumptions of Solér’s theorem to (...)
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  10. Carlos Castro (2012). Born's Reciprocal Gravity in Curved Phase-Spaces and the Cosmological Constant. Foundations of Physics 42 (8):1031-1055.
    The main features of how to build a Born’s Reciprocal Gravitational theory in curved phase-spaces are developed. By recurring to the nonlinear connection formalism of Finsler geometry a generalized gravitational action in the 8D cotangent space (curved phase space) can be constructed involving sums of 5 distinct types of torsion squared terms and 2 distinct curvature scalars ${\mathcal{R}}, {\mathcal{S}}$ which are associated with the curvature in the horizontal and vertical spaces, respectively. A Kaluza-Klein-like approach to the construction (...)
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography   1 citation  
  11.  10
    Andreas Blass & Victor Pambuccian (2003). Sperner Spaces and First‐Order Logic. Mathematical Logic Quarterly 49 (2):111-114.
    We study the class of Sperner spaces, a generalized version of affine spaces, as defined in the language of pointline incidence and line parallelity. We show that, although the class of Sperner spaces is a pseudo-elementary class, it is not elementary nor even ℒ∞ω-axiomatizable. We also axiomatize the first-order theory of this class.
    Direct download (5 more)  
     
    Export citation  
     
    My bibliography  
  12.  96
    Yuri Balashov (2010). Persistence and Spacetime. Oxford University Press.
    Background and assumptions. Persistence and philosophy of time ; Atomism and composition ; Scope ; Some matters of methodology -- Persistence, location, and multilocation in spacetime. Endurance, perdurance, exdurance : some pictures ; More pictures ; Temporal modification and the "problem of temporary intrinsics" ; Persistence, location and multilocation in generic spacetime ; An alternative classification -- Classical and relativistic spacetime. Newtonian spacetime ; Neo-Newtonian (Galilean) spacetime ; Reference frames and coordinate systems ; Galilean transformations in spacetime ; Special relativistic (...)
    Direct download (6 more)  
     
    Export citation  
     
    My bibliography   10 citations  
  13. Yuri Balashov (2000). Persistence and Space-Time. The Monist 83 (3):321-340.
    Although considerations based on contemporary space-time theories, such as special and general relativity, seem highly relevant to the debate about persistence, their significance has not been duly appreciated. My goal in this paper is twofold: (1) to reformulate the rival positions in the debate (i.e., endurantism [three-dimensionalism] and perdurantism [four-dimensionalism, the doctrine of temporal parts]) in the framework of special relativistic space-time; and (2) to argue that, when so reformulated, perdurantism exhibits explanatory advantages over endurantism. The argument builds on the (...)
    Direct download (5 more)  
     
    Export citation  
     
    My bibliography   16 citations  
  14.  39
    Yuri Balashov (2000). Persistence and Space-Time. The Monist 83 (3):321-340.
    Material objects persist through time and survive change. How do they manage to do so? What are the underlying facts of persistence? Do objects persist by being "wholly present" at all moments of time at which they exist? Or do they persist by having distinct "temporal segments" confined to the corresponding times? Are objects three-dimensional entities extended in space, but not in time? Or are they four-dimensional spacetime "worms"? These are matters of intense debate, which is now driven by concerns (...)
    Direct download (5 more)  
     
    Export citation  
     
    My bibliography   5 citations  
  15. Benno Erdmann (1877). Die Axiome der Geometry Eine Philosophische Untersuchung der Riemann-Helmholtz'schen Raumtheorie. L. Voss.
    No categories
    Translate
     
     
    Export citation  
     
    My bibliography   3 citations  
  16. C. Marcio do Amaral (1969). Flat-Space Metric in the Quaternion Formulation of General Relativity. Rio De Janeiro, Centro Brasileiro De Pesquisas Físicas.
     
    Export citation  
     
    My bibliography  
  17. Stephen OʹBrien (1952). Jump Conditions at Discontinuities in General Relativity. Dublin, Dublin Institute for Advanced Studies.
     
    Export citation  
     
    My bibliography  
  18. Hyōichirō Takeno (1966). The Theory of Spherically Symmetric Space-Times. Takehara, Japan, Research Institute for Theoretical Physics, Hiroshima University.
     
    Export citation  
     
    My bibliography  
  19.  5
    Leszek Wroński & Michał Tomasz Godziszewski (forthcoming). Dutch Books and Nonclassical Probability Spaces. European Journal for Philosophy of Science:1-18.
    We investigate how Dutch Book considerations can be conducted in the context of two classes of nonclassical probability spaces used in philosophy of physics. In particular we show that a recent proposal by B. Feintzeig to find so called “generalized probability spaces” which would not be susceptible to a Dutch Book and would not possess a classical extension is doomed to fail. Noting that the particular notion of a nonclassical probability space used by Feintzeig is not the (...)
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  20.  92
    Eduard Prugovečki (1979). Stochastic Phase Spaces and Master Liouville Spaces in Statistical Mechanics. Foundations of Physics 9 (7-8):575-587.
    The concept of probability space is generalized to that of stochastic probability space. This enables the introduction of representations of quantum mechanics on stochastic phase spaces. The resulting formulation of quantum statistical mechanics in terms of Γ-distribution functions bears a remarkable resemblance to its classical counterpart. Furthermore, both classical and quantum statistical mechanics can be formulated in one and the same master Liouville space overL 2(Γ). A joint derivation of a classical and quantum Boltzman equation provides an illustration (...)
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  21.  82
    Stanley Gudder (1973). Generalized Measure Theory. Foundations of Physics 3 (3):399-411.
    It is argued that a reformulation of classical measure theory is necessary if the theory is to accurately describe measurements of physical phenomena. The postulates of a generalized measure theory are given and the fundamentals of this theory are developed, and the reader is introduced to some open questions and possible applications. Specifically, generalized measure spaces and integration theory are considered, the partial order structure is studied, and applications to hidden variables and the logic of quantum mechanics (...)
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography   1 citation  
  22.  27
    Gilles Fauconnier & Mark Turner, Conceptual Projection and Middle Spaces.
    Conceptual projection from one mental space to another always involves projection to "middle" spaces-abstract "generic" middle spaces or richer "blended" middle spaces. Projection to a middle space is a general cognitive process, operating uniformly at different levels of abstraction and under superficially divergent contextual circumstances. Middle spaces are indispensable sites for central mental and linguistic work. The process of blending is in particular a fundamental and general cognitive process, running over many (conceivably all) cognitive phenomena, including (...)
    No categories
    Direct download  
     
    Export citation  
     
    My bibliography   2 citations  
  23.  26
    Bill Poirier (2001). Phase Space Optimization of Quantum Representations: Non-Cartesian Coordinate Spaces. [REVIEW] Foundations of Physics 31 (11):1581-1610.
    In an earlier article [Found. Phys. 30, 1191 (2000)], a quasiclassical phase space approximation for quantum projection operators was presented, whose accuracy increases in the limit of large basis size (projection subspace dimensionality). In a second paper [J. Chem. Phys. 111, 4869 (1999)], this approximation was used to generate a nearly optimal direct-product basis for representing an arbitrary (Cartesian) quantum Hamiltonian, within a given energy range of interest. From a few reduced-dimensional integrals, the method determines the optimal 1D marginal Hamiltonians, (...)
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography  
  24.  26
    Matthew A. Graydon (2013). Quaternionic Quantum Dynamics on Complex Hilbert Spaces. Foundations of Physics 43 (5):656-664.
    We consider a quaternionic quantum formalism for the description of quantum states and quantum dynamics. We prove that generalized quantum measurements on physical systems in quaternionic quantum theory can be simulated by usual quantum measurements with positive operator valued measures on complex Hilbert spaces. Furthermore, we prove that quaternionic quantum channels can be simulated by completely positive trace preserving maps on complex matrices. These novel results map all quaternionic quantum processes to algorithms in usual quantum information theory.
    Direct download (7 more)  
     
    Export citation  
     
    My bibliography  
  25.  21
    Gerd Niestegge (2008). A Representation of Quantum Measurement in Order-Unit Spaces. Foundations of Physics 38 (9):783-795.
    A certain generalization of the mathematical formalism of quantum mechanics beyond operator algebras is considered. The approach is based on the concept of conditional probability and the interpretation of the Lüders-von Neumann quantum measurement as a probability conditionalization rule. A major result shows that the operator algebras must be replaced by order-unit spaces with some specific properties in the generalized approach, and it is analyzed under which conditions these order-unit spaces become Jordan algebras. An application of this (...)
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography  
  26.  19
    Hans A. Keller (1990). Measures on Infinite-Dimensional Orthomodular Spaces. Foundations of Physics 20 (5):575-604.
    We classify the measures on the lattice ℒ of all closed subspaces of infinite-dimensional orthomodular spaces (E, Ψ) over fields of generalized power series with coefficients in ℝ. We prove that every σ-additive measure on ℒ can be obtained by lifting measures from the residual spaces of (E, Ψ). The measures being lifted are known, for the residual spaces are Euclidean. From the classification we deduce, among other things, that the set of all measures on ℒ (...)
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  27.  6
    Anatolij Dvurečenskij, Tibor Neubrunn & Sylvia Pulmannová (1990). Finitely Additive States and Completeness of Inner Product Spaces. Foundations of Physics 20 (9):1091-1102.
    For any unit vector in an inner product space S, we define a mapping on the system of all ⊥-closed subspaces of S, F(S), whose restriction on the system of all splitting subspaces of S, E(S), is always a finitely additive state. We show that S is complete iff at least one such mapping is a finitely additive state on F(S). Moreover, we give a completeness criterion via the existence of a regular finitely additive state on appropriate systems of subspaces. (...)
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  28.  10
    Jarosław Achinger (1986). On a Problem of P(Α, Δ, Π) Concerning Generalized Alexandroff S Cube. Studia Logica 45 (3):293 - 300.
    Universality of generalized Alexandroff's cube plays essential role in theory of absolute retracts for the category of , -closure spaces. Alexandroff's cube. is an , -closure space generated by the family of all complete filters. in a lattice of all subsets of a set of power .Condition P(, , ) says that is a closure space of all , -filters in the lattice ( ).
    Direct download (5 more)  
     
    Export citation  
     
    My bibliography  
  29.  4
    Göran Sonesson (2014). New Rules for the Spaces of Urbanity. International Journal for the Semiotics of Law - Revue Internationale de Sémiotique Juridique 27 (1):7-26.
    The best way to conceive semiotical spaces that are not identical to single buildings, such as a cityscape, is to define the place in terms of the activities occurring there. This conception originated in the proxemics of E. T. Hall and was later generalized in the spatial semiotics of Manar Hammad. It can be given a more secure grounding in terms of time geography, which is involved with trajectories in space and time. We add to this a qualitative (...)
    No categories
    Direct download (5 more)  
     
    Export citation  
     
    My bibliography  
  30.  97
    Carlos Castro (2010). On Nonlinear Quantum Mechanics, Noncommutative Phase Spaces, Fractal-Scale Calculus and Vacuum Energy. Foundations of Physics 40 (11):1712-1730.
    A (to our knowledge) novel Generalized Nonlinear Schrödinger equation based on the modifications of Nottale-Cresson’s fractal-scale calculus and resulting from the noncommutativity of the phase space coordinates is explicitly derived. The modifications to the ground state energy of a harmonic oscillator yields the observed value of the vacuum energy density. In the concluding remarks we discuss how nonlinear and nonlocal QM wave equations arise naturally from this fractal-scale calculus formalism which may have a key role in the final formulation (...)
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  31.  5
    Victor Pambuccian (2009). A Reverse Analysis of the Sylvester-Gallai Theorem. Notre Dame Journal of Formal Logic 50 (3):245-260.
    Reverse analyses of three proofs of the Sylvester-Gallai theorem lead to three different and incompatible axiom systems. In particular, we show that proofs respecting the purity of the method, using only notions considered to be part of the statement of the theorem to be proved, are not always the simplest, as they may require axioms which proofs using extraneous predicates do not rely upon.
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography   2 citations  
  32.  32
    Carlos Castro (2014). On Clifford Space Relativity, Black Hole Entropy, Rainbow Metrics, Generalized Dispersion and Uncertainty Relations. Foundations of Physics 44 (9):990-1008.
    An analysis of some of the applications of Clifford space relativity to the physics behind the modified black hole entropy-area relations, rainbow metrics, generalized dispersion and minimal length stringy uncertainty relations is presented.
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  33.  18
    Frederik Herzberg (2007). Internal Laws of Probability, Generalized Likelihoods and Lewis' Infinitesimal Chances–a Response to Adam Elga. British Journal for the Philosophy of Science 58 (1):25-43.
    The rejection of an infinitesimal solution to the zero-fit problem by A. Elga ([2004]) does not seem to appreciate the opportunities provided by the use of internal finitely-additive probability measures. Indeed, internal laws of probability can be used to find a satisfactory infinitesimal answer to many zero-fit problems, not only to the one suggested by Elga, but also to the Markov chain (that is, discrete and memory-less) models of reality. Moreover, the generalization of likelihoods that Elga has in mind is (...)
    Direct download (8 more)  
     
    Export citation  
     
    My bibliography   2 citations  
  34.  21
    Eduard Prugovečki (1975). Measurement in Quantum Mechanics as a Stochastic Process on Spaces of Fuzzy Events. Foundations of Physics 5 (4):557-571.
    The measurement of one or more observables can be considered to yield sample points which are in general fuzzy sets. Operationally these fuzzy sample points are the outcomes of calibration procedures undertaken to ensure the internal consistency of a scheme of measurement. By introducing generalized probability measures on σ-semifields of fuzzy events, one can view a quantum mechanical state as an ensemble of probability measures which specify the likelihood of occurrence of any specific fuzzy sample point at some instant. (...)
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  35.  16
    Brandon Fogel (2013). Multiple-Context Event Spaces and Distributions: A New Framework for Bell's Theorems. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (3):153-161.
    I describe a new framework for the articulation and analysis of Bell's theorems for arbitrarily complicated discrete physical scenarios. The framework allows for efficient proof of some new results, as well as generalizations of some older results already known for simpler cases. The generalized known results are: satisfaction of all Bell inequalities is equivalent to the existence of a joint probability function for all possible measurement contexts and stochastic versions of Bell's theorem are not stronger than deterministic versions. The (...)
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  36.  17
    Alexey A. Kryukov (2006). Quantum Mechanics on Hilbert Manifolds: The Principle of Functional Relativity. [REVIEW] Foundations of Physics 36 (2):175-226.
    Quantum mechanics is formulated as a geometric theory on a Hilbert manifold. Images of charts on the manifold are allowed to belong to arbitrary Hilbert spaces of functions including spaces of generalized functions. Tensor equations in this setting, also called functional tensor equations, describe families of functional equations on various Hilbert spaces of functions. The principle of functional relativity is introduced which states that quantum theory (QT) is indeed a functional tensor theory, i.e., it can be (...)
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography  
  37.  14
    Jarosław Achinger (1986). Generalization of Scott's Formula for Retractions From Generalized Alexandroff's Cube. Studia Logica 45 (3):281 - 292.
    In the paper [2] the following theorem is shown: Theorem (Th. 3,5, [2]), If =0 or = or , then a closure space X is an absolute extensor for the category of , -closure spaces iff a contraction of X is the closure space of all , -filters in an , -semidistributive lattice.In the case when = and =, this theorem becomes Scott's theorem.
    Direct download (5 more)  
     
    Export citation  
     
    My bibliography  
  38.  71
    Igor Douven, Lieven Decock, Richard Dietz & Paul Égré (2013). Vagueness: A Conceptual Spaces Approach. Journal of Philosophical Logic 42 (1):137-160.
    The conceptual spaces approach has recently emerged as a novel account of concepts. Its guiding idea is that concepts can be represented geometrically, by means of metrical spaces. While it is generally recognized that many of our concepts are vague, the question of how to model vagueness in the conceptual spaces approach has not been addressed so far, even though the answer is far from straightforward. The present paper aims to fill this lacuna.
    Direct download (8 more)  
     
    Export citation  
     
    My bibliography   11 citations  
  39. Peter Gärdenfors & Frank Zenker (2013). Theory Change as Dimensional Change: Conceptual Spaces Applied to the Dynamics of Empirical Theories. Synthese 190 (6):1039-1058.
    This paper offers a novel way of reconstructing conceptual change in empirical theories. Changes occur in terms of the structure of the dimensions—that is to say, the conceptual spaces—underlying the conceptual framework within which a given theory is formulated. Five types of changes are identified: (1) addition or deletion of special laws, (2) change in scale or metric, (3) change in the importance of dimensions, (4) change in the separability of dimensions, and (5) addition or deletion of dimensions. Given (...)
    Direct download (6 more)  
     
    Export citation  
     
    My bibliography   5 citations  
  40.  45
    Jakub Szymanik (2009). Quantifiers in TIME and SPACE. Computational Complexity of Generalized Quantifiers in Natural Language. Dissertation, University of Amsterdam
    In the dissertation we study the complexity of generalized quantifiers in natural language. Our perspective is interdisciplinary: we combine philosophical insights with theoretical computer science, experimental cognitive science and linguistic theories. -/- In Chapter 1 we argue for identifying a part of meaning, the so-called referential meaning (model-checking), with algorithms. Moreover, we discuss the influence of computational complexity theory on cognitive tasks. We give some arguments to treat as cognitively tractable only those problems which can be computed in polynomial (...)
    Translate
      Direct download  
     
    Export citation  
     
    My bibliography   9 citations  
  41.  26
    Fredrik Engström (2012). Generalized Quantifiers in Dependence Logic. Journal of Logic, Language and Information 21 (3):299-324.
    We introduce generalized quantifiers, as defined in Tarskian semantics by Mostowski and Lindström, in logics whose semantics is based on teams instead of assignments, e.g., IF-logic and Dependence logic. Both the monotone and the non-monotone case is considered. It is argued that to handle quantifier scope dependencies of generalized quantifiers in a satisfying way the dependence atom in Dependence logic is not well suited and that the multivalued dependence atom is a better choice. This atom is in fact (...)
    Direct download (8 more)  
     
    Export citation  
     
    My bibliography   7 citations  
  42.  72
    Thomas Mormann, Squares of Oppositions, Commutative Diagrams, and Galois Connections for Topological Spaces and Similarity Structures.
    The aim of this paper is to elucidate the relationship between Aristotelian conceptual oppositions, commutative diagrams of relational structures, and Galois connections.This is done by investigating in detail some examples of Aristotelian conceptual oppositions arising from topological spaces and similarity structures. The main technical device for this endeavor is the notion of Galois connections of order structures.
    Direct download  
     
    Export citation  
     
    My bibliography  
  43. Peter Fritz (2013). Modal Ontology and Generalized Quantifiers. Journal of Philosophical Logic 42 (4):643-678.
    Timothy Williamson has argued that in the debate on modal ontology, the familiar distinction between actualism and possibilism should be replaced by a distinction between positions he calls contingentism and necessitism. He has also argued in favor of necessitism, using results on quantified modal logic with plurally interpreted second-order quantifiers showing that necessitists can draw distinctions contingentists cannot draw. Some of these results are similar to well-known results on the relative expressivity of quantified modal logics with so-called inner and outer (...)
    Direct download (6 more)  
     
    Export citation  
     
    My bibliography   1 citation  
  44.  38
    Massimo Warglien & Peter Gärdenfors (2013). Semantics, Conceptual Spaces, and the Meeting of Minds. Synthese 190 (12):2165-2193.
    We present an account of semantics that is not construed as a mapping of language to the world but rather as a mapping between individual meaning spaces. The meanings of linguistic entities are established via a “meeting of minds.” The concepts in the minds of communicating individuals are modeled as convex regions in conceptual spaces. We outline a mathematical framework, based on fixpoints in continuous mappings between conceptual spaces, that can be used to model such a semantics. (...)
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography   3 citations  
  45.  7
    José V. Hernández-Conde (forthcoming). A Case Against Convexity in Conceptual Spaces. Synthese:1-27.
    The notion of conceptual space, proposed by Gärdenfors as a framework for the representation of concepts and knowledge, has been highly influential over the last decade or so. One of the main theses involved in this approach is that the conceptual regions associated with properties, concepts, verbs, etc. are convex. The aim of this paper is to show that such a constraint—that of the convexity of the geometry of conceptual regions—is problematic; both from a theoretical perspective and with regard to (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  46.  49
    Thomas Filk & Hartmann Römer (2011). Generalized Quantum Theory: Overview and Latest Developments. [REVIEW] Axiomathes 21 (2):211-220.
    The main formal structures of generalized quantum theory are summarized. Recent progress has sharpened some of the concepts, in particular the notion of an observable, the action of an observable on states (putting more emphasis on the role of proposition observables), and the concept of generalized entanglement. Furthermore, the active role of the observer in the structure of observables and the partitioning of systems is emphasized.
    Direct download (6 more)  
     
    Export citation  
     
    My bibliography   4 citations  
  47.  7
    Sergei P. Odintsov & Heinrich Wansing (2015). The Logic of Generalized Truth Values and the Logic of Bilattices. Studia Logica 103 (1):91-112.
    This paper sheds light on the relationship between the logic of generalized truth values and the logic of bilattices. It suggests a definite solution to the problem of axiomatizing the truth and falsity consequence relations, \ and \ , considered in a language without implication and determined via the truth and falsity orderings on the trilattice SIXTEEN 3 . The solution is based on the fact that a certain algebra isomorphic to SIXTEEN 3 generates the variety of commutative and (...)
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography   2 citations  
  48.  9
    Samson Abramsky (2013). Coalgebras, Chu Spaces, and Representations of Physical Systems. Journal of Philosophical Logic 42 (3):551-574.
    We investigate the use of coalgebra to represent quantum systems, thus providing a basis for the use of coalgebraic methods in quantum information and computation. Coalgebras allow the dynamics of repeated measurement to be captured, and provide mathematical tools such as final coalgebras, bisimulation and coalgebraic logic. However, the standard coalgebraic framework does not accommodate contravariance, and is too rigid to allow physical symmetries to be represented. We introduce a fibrational structure on coalgebras in which contravariance is represented by indexing. (...)
    Direct download (5 more)  
     
    Export citation  
     
    My bibliography   2 citations  
  49. Lauri Hella, Kerkko Luosto & Jouko Väänänen (1996). The Hierarchy Theorem for Generalized Quantifiers. Journal of Symbolic Logic 61 (3):802-817.
    The concept of a generalized quantifier of a given similarity type was defined in [12]. Our main result says that on finite structures different similarity types give rise to different classes of generalized quantifiers. More exactly, for every similarity type t there is a generalized quantifier of type t which is not definable in the extension of first order logic by all generalized quantifiers of type smaller than t. This was proved for unary similarity types by (...)
    Direct download (8 more)  
     
    Export citation  
     
    My bibliography   2 citations  
  50.  86
    Kinjalk Lochan, Seema Satin & Tejinder P. Singh (2012). Statistical Thermodynamics for a Non-Commutative Special Relativity: Emergence of a Generalized Quantum Dynamics. [REVIEW] Foundations of Physics 42 (12):1556-1572.
    There ought to exist a description of quantum field theory which does not depend on an external classical time. To achieve this goal, in a recent paper we have proposed a non-commutative special relativity in which space-time and matter degrees of freedom are treated as classical matrices with arbitrary commutation relations, and a space-time line element is defined using a trace. In the present paper, following the theory of Trace Dynamics, we construct a statistical thermodynamics for the non-commutative special relativity, (...)
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography  
1 — 50 / 1000