Results for 'Mv Predaval Magrini'

219 found
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  1. Teorie della spiegazione storica nella filosofia angloamericana del secondo dopoguerra.Mv Predaval Magrini - 1986 - Rivista di Storia Della Filosofia 41 (1):113-134.
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  2. Toynbee e l'indagine storica comparativa.Mv Predaval Magrini - 1989 - Rivista di Storia Della Filosofia 44 (2):327-352.
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  3.  74
    MV-Algebras and Quantum Computation.Antonio Ledda, Martinvaldo Konig, Francesco Paoli & Roberto Giuntini - 2006 - Studia Logica 82 (2):245-270.
    We introduce a generalization of MV algebras motivated by the investigations into the structure of quantum logical gates. After laying down the foundations of the structure theory for such quasi-MV algebras, we show that every quasi-MV algebra is embeddable into the direct product of an MV algebra and a “flat” quasi-MV algebra, and prove a completeness result w.r.t. a standard quasi-MV algebra over the complex numbers.
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  4.  13
    Convex MV-Algebras: Many-Valued Logics Meet Decision Theory.T. Flaminio, H. Hosni & S. Lapenta - 2018 - Studia Logica 106 (5):913-945.
    This paper introduces a logical analysis of convex combinations within the framework of Łukasiewicz real-valued logic. This provides a natural link between the fields of many-valued logics and decision theory under uncertainty, where the notion of convexity plays a central role. We set out to explore such a link by defining convex operators on MV-algebras, which are the equivalent algebraic semantics of Łukasiewicz logic. This gives us a formal language to reason about the expected value of bounded random variables. As (...)
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  5.  18
    Hyper MV -Ideals in Hyper MV -Algebras.Lida Torkzadeh & Afsaneh Ahadpanah - 2010 - Mathematical Logic Quarterly 56 (1):51-62.
    In this paper we define the hyper operations ⊗, ∨ and ∧ on a hyper MV -algebra and we obtain some related results. After that by considering the notions ofhyper MV -ideals and weak hyper MV -ideals, we prove some theorems. Then we determine relationships between hyper MV -ideals in a hyper MV -algebra and hyper K -ideals in a hyper K -algebra . Finally we give a characterization of hyper MV -algebras of order 3 or 4 based on the (...)
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  6.  27
    Perfect MV-Algebras Are Categorically Equivalent to Abelianl-Groups.Antonio Di Nola & Ada Lettieri - 1994 - Studia Logica 53 (3):417-432.
    In this paper we prove that the category of abelianl-groups is equivalent to the category of perfect MV-algebras. Furthermore, we give a finite equational axiomatization of the variety generated by perfect MV-algebras.
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  7.  47
    Quantum MV Algebras.Roberto Giuntini - 1996 - Studia Logica 56 (3):393 - 417.
    We introduce the notion of quantum MV algebra (QMV algebra) as a generalization of MV algebras and we show that the class of all effects of any Hilbert space gives rise to an example of such a structure. We investigate some properties of QMV algebras and we prove that QMV algebras represent non-idempotent extensions of orthomodular lattices.
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  8.  9
    MV*—Algebras.Renato Lewin, Marta Sagastume & Pedro Massey - 2004 - Logic Journal of the IGPL 12 (6):461-483.
    In this paper we make an algebraic study of the variety of MV*-algebras introduced by C. C. Chang as an algebraic counterpart for a logic with positive and negative truth values.We build the algebraic theory of MV*-algebras within its own limits using a concept of ideal and of prime ideal that are very naturally related to the corresponding concepts in l-groups. The main results are a subdirect representation theorem, a completeness theorem, a study of simple and semisimple algebras, and a (...)
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  9.  34
    The Dual Adjunction Between MV-Algebras and Tychonoff Spaces.Vincenzo Marra & Luca Spada - 2012 - Studia Logica 100 (1-2):253-278.
    We offer a proof of the duality theorem for finitely presented MV-algebras and rational polyhedra, a folklore and yet fundamental result. Our approach develops first a general dual adjunction between MV-algebras and subspaces of Tychonoff cubes, endowed with the transformations that are definable in the language of MV-algebras. We then show that this dual adjunction restricts to a duality between semisimple MV-algebras and closed subspaces of Tychonoff cubes. The duality theorem for finitely presented objects is obtained by a further specialisation. (...)
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  10.  18
    MV and Heyting Effect Algebras.D. J. Foulis - 2000 - Foundations of Physics 30 (10):1687-1706.
    We review the fact that an MV-algebra is the same thing as a lattice-ordered effect algebra in which disjoint elements are orthogonal. An HMV-algebra is an MV-effect algebra that is also a Heyting algebra and in which the Heyting center and the effect-algebra center coincide. We show that every effect algebra with the generalized comparability property is an HMV-algebra. We prove that, for an MV-effect algebra E, the following conditions are mutually equivalent: (i) E is HMV, (ii) E has a (...)
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  11.  36
    Finitely Generated Free MV-Algebras and Their Automorphism Groups.Antonio Di Nola, Revaz Grigolia & Giovanni Panti - 1998 - Studia Logica 61 (1):65-78.
    The MV-algebra S m w is obtained from the (m+1)-valued ukasiewicz chain by adding infinitesimals, in the same way as Chang's algebra is obtained from the two-valued chain. These algebras were introduced by Komori in his study of varieties of MV-algebras. In this paper we describe the finitely generated totally ordered algebras in the variety MV m w generated by S m w . This yields an easy description of the free MV m w -algebras over one generator. We characterize (...)
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  12.  11
    Monadic MV-Algebras Are Equivalent to Monadic ℓ-Groups with Strong Unit.C. Cimadamore & J. P. Díaz Varela - 2011 - Studia Logica 98 (1-2):175-201.
    In this paper we extend Mundici’s functor Γ to the category of monadic MV-algebras. More precisely, we define monadic ℓ -groups and we establish a natural equivalence between the category of monadic MV-algebras and the category of monadic ℓ -groups with strong unit. Some applications are given thereof.
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  13.  63
    On the Equivalence Between MV-Algebras and L-Groups with Strong Unit.Eduardo J. Dubuc & Y. A. Poveda - 2015 - Studia Logica 103 (4):807-814.
    In “A new proof of the completeness of the Lukasiewicz axioms” Chang proved that any totally ordered MV-algebra A was isomorphic to the segment \}\) of a totally ordered l-group with strong unit A *. This was done by the simple intuitive idea of putting denumerable copies of A on top of each other. Moreover, he also show that any such group G can be recovered from its segment since \^*}\), establishing an equivalence of categories. In “Interpretation of AF C (...)
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  14.  35
    Worlds Apart in the Curriculum: Heidegger, Technology, and the Poietic Attunement of Literature.J. M. Magrini - 2012 - Educational Philosophy and Theory 44 (5):500-521.
    In this article I elucidate a conception of small worlds, or ‘ontological’ contexts, within the curriculum that stand out and beyond the horizon of technological‐scientific reality, which might be linked with forgotten, marginal ways of being and thinking. As I attempt to demonstrate, it is possible that such ontological worlds apart from technology's ‘Enframing’ effect might inspire the type of meditative thinking in our classrooms that is consistent with Heidegger's notion of authentic worldly dwelling as it appears in the later (...)
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  15.  19
    Universal Classes of MV-Chains with Applications to Many-Valued Logics.Joan Gispert - 2002 - Mathematical Logic Quarterly 48 (4):582-601.
    In this paper we characterize, classify and axiomatize all universal classes of MV-chains. Moreover, we accomplish analogous characterization, classification and axiomatization for congruence distributive quasivarieties of MV-algebras. Finally, we apply those results to study some finitary extensions of the Łukasiewicz infinite valued propositional calculus.
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  16.  72
    Expanding Quasi-MV Algebras by a Quantum Operator.Roberto Giuntini, Antonio Ledda & Francesco Paoli - 2007 - Studia Logica 87 (1):99-128.
    We investigate an expansion of quasi-MV algebras ([10]) by a genuine quantum unary operator. The variety of such quasi-MV algebras has a subquasivariety whose members—called cartesian—can be obtained in an appropriate way out of MV algebras. After showing that cartesian . quasi-MV algebras generate ,we prove a standard completeness theorem for w.r.t. an algebra over the complex numbers.
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  17.  24
    On Monadic MV-Algebras.Antonio Di Nola & Revaz Grigolia - 2004 - Annals of Pure and Applied Logic 128 (1-3):125-139.
    We define and study monadic MV-algebras as pairs of MV-algebras one of which is a special case of relatively complete subalgebra named m-relatively complete. An m-relatively complete subalgebra determines a unique monadic operator. A necessary and sufficient condition is given for a subalgebra to be m-relatively complete. A description of the free cyclic monadic MV-algebra is also given.
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  18.  29
    States on Pseudo MV-Algebras.Anatolij Dvurečenskij - 2001 - Studia Logica 68 (3):301-327.
    Pseudo MV-algebras are a non-commutative extension of MV-algebras introduced recently by Georgescu and Iorgulescu. We introduce states (finitely additive probability measures) on pseudo MV-algebras. We show that extremal states correspond to normal maximal ideals. We give an example in that, in contrast to classical MV-algebras introduced by Chang, states can fail on pseudo MV-algebras. We prove that representable and normal-valued pseudo MV-algebras admit at least one state.
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  19.  20
    Perfect MV-Algebras Are Categorically Equivalent to Abelian L-Groups.Antonio Di Nola & Ada Lettieri - 1994 - Studia Logica 53 (3):417-432.
    In this paper we prove that the category of abelian l-groups is equivalent to the category of perfect MV-algebras. Furthermore, we give a finite equational axiomatization of the variety generated by perfect MV-algebras.
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  20.  69
    Varieties of MV-Algebras.Giovanni Panti - 1999 - Journal of Applied Non-Classical Logics 9 (1):141-157.
    ABSTRACT We characterize, for every subvariety V of the variety of all MV- algebras, the free objects in V. We use our results to compute coproducts in V and to provide simple single-axiom axiomatizations of all many-valued logics extending the Lukasiewicz one.
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  21.  32
    Representation and Extension of States on MV-Algebras.TomአKroupa - 2006 - Archive for Mathematical Logic 45 (4):381-392.
    MV-algebras stand for the many-valued Łukasiewicz logic the same as Boolean algebras for the classical logic. States on MV-algebras were first mentioned [20] in probability theory and later also introduced in effort to capture a notion of `an average truth-value of proposition' [15] in Łukasiewicz many-valued logic. In the presented paper, an integral representation theorem for finitely-additive states on semisimple MV-algebra will be proven. Further, we shall prove extension theorems concerning states defined on sub-MV-algebras and normal partitions of unity generalizing (...)
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  22.  32
    State-Morphism MV-Algebras.Antonio Di Nola & Anatolij Dvurečenskij - 2010 - Annals of Pure and Applied Logic 161 (2):161-173.
    We present a stronger variation of state MV-algebras, recently presented by T. Flaminio and F. Montagna, which we call state-morphism MV-algebras. Such structures are MV-algebras with an internal notion, a state-morphism operator. We describe the categorical equivalences of such state MV-algebras with the category of unital Abelian ℓ-groups with a fixed state operator and present their basic properties. In addition, in contrast to state MV-algebras, we are able to describe all subdirectly irreducible state-morphism MV-algebras.
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  23.  16
    Representations of MV-Algebras by Sheaves.Anna R. Ferraioli & Ada Lettieri - 2011 - Mathematical Logic Quarterly 57 (1):27-43.
    In this paper, inspired by methods of Bigard, Keimel, and Wolfenstein , we develop an approach to sheaf representations of MV-algebras which combines two techniques for the representation of MV-algebras devised by Filipoiu and Georgescu and by Dubuc and Poveda . Following Davey approach , we use a subdirect representation of MV-algebras that is based on local MV-algebras. This allowed us to obtain: a representation of any MV-algebras as MV-algebra of all global sections of a sheaf of local MV-algebras on (...)
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  24.  4
    Representation Theory of MV-Algebras.Eduardo J. Dubuc & Yuri A. Poveda - 2010 - Annals of Pure and Applied Logic 161 (8):1024-1046.
    In this paper we develop a general representation theory for MV-algebras. We furnish the appropriate categorical background to study this problem. Our guide line is the theory of classifying topoi of coherent extensions of universal algebra theories. Our main result corresponds, in the case of MV-algebras and MV-chains, to the representation of commutative rings with unit as rings of global sections of sheaves of local rings. We prove that any MV-algebra is isomorphic to the MV-algebra of all global sections of (...)
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  25.  11
    Monadic MV-Algebras Are Equivalent to Monadic?-Groups with Strong Unit.C. Cimadamore & J. P. D.?az Varela - 2011 - Studia Logica 98 (1-2):175-201.
    In this paper we extend Mundici's functor? to the category of monadic MV- algebras. More precisely, we define monadic?- groups and we establish a natural equivalence between the category of monadic MV- algebras and the category of monadic?- groups with strong unit. Some applications are given thereof.
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  26. A. Magrini O. F. M.: Ioannis Duns Scoti doctrina de scientifica theologiae natura. [REVIEW]A. Hoffmann - 1956 - Freiburger Zeitschrift für Philosophie Und Theologie 3 (4):425.
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  27.  17
    Dialectic and Dialogue in Plato: Refuting the Model of Socrates-as-Teacher in the Pursuit of Authentic Paideia.James Michael Magrini - 2014 - Educational Philosophy and Theory 46 (12):1-17.
    Incorporating Gadamer and other thinkers from the continental tradition, this essay is a close and detailed hermeneutic, phenomenological, and ontological study of the dialectic practice of Plato’s Socrates—it radicalizes and refutes the Socrates-as-teacher model that educators from scholar academic ideology embrace.
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  28.  75
    Duality, Projectivity, and Unification in Łukasiewicz Logic and MV-Algebras.Vincenzo Marra & Luca Spada - 2013 - Annals of Pure and Applied Logic 164 (3):192-210.
    We prove that the unification type of Łukasiewicz logic and of its equivalent algebraic semantics, the variety of MV-algebras, is nullary. The proof rests upon Ghilardiʼs algebraic characterisation of unification types in terms of projective objects, recent progress by Cabrer and Mundici in the investigation of projective MV-algebras, the categorical duality between finitely presented MV-algebras and rational polyhedra, and, finally, a homotopy-theoretic argument that exploits lifts of continuous maps to the universal covering space of the circle. We discuss the background (...)
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  29.  43
    A Characterization of the Free N-Generated MV-Algebra.Daniele Mundici - 2006 - Archive for Mathematical Logic 45 (2):239-247.
    An MV-algebra A=(A,0,¬,⊕) is an abelian monoid (A,0,⊕) equipped with a unary operation ¬ such that ¬¬x=x,x⊕¬0=¬0, and y⊕¬(y⊕¬x)=x⊕¬(x⊕¬y). Chang proved that the equational class of MV-algebras is generated by the real unit interval [0,1] equipped with the operations ¬x=1−x and x⊕y=min(1,x+y). Therefore, the free n-generated MV-algebra Free n is the algebra of [0,1]-valued functions over the n-cube [0,1] n generated by the coordinate functions ξ i ,i=1, . . . ,n, with pointwise operations. Any such function f is a (...)
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  30.  4
    Simplicial Structures in MV-Algebras and Logic.L. P. Belluce & A. di Nola - 2007 - Journal of Symbolic Logic 72 (2):584-600.
  31.  17
    The Work of Art and Truth of Being as “Historical”.James Magrini - 2010 - Philosophy Today 54 (4):346-363.
  32.  38
    States on Polyadic MV-Algebras.George Georgescu - 2010 - Studia Logica 94 (2):231-243.
    This paper is a contribution to the algebraic logic of probabilistic models of Łukasiewicz predicate logic. We study the MV-states defined on polyadic MV-algebras and prove an algebraic many-valued version of Gaifman’s completeness theorem.
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  33.  32
    Algebraically Closed MV-Algebras and Their Sheaf Representation.Antonio Di Nola, Anna R. Ferraioli & Giacomo Lenzi - 2013 - Annals of Pure and Applied Logic 164 (3):349-355.
    In this paper we first provide a new axiomatization of algebraically closed MV-algebras based on McNaughtonʼs Theorem. Then we turn to sheaves, and we represent algebraically closed MV-algebras as algebras of global sections of sheaves, where the stalks are divisible MV-chains and the base space is Stonean.
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  34.  62
    A Common Abstraction of MV-Algebras and Abelian L-Groups.Francesco Paoli - 2000 - Studia Logica 65 (3):355-366.
    We investigate the class of strongly distributive pregroups, a common abstraction of MV-algebras and Abelian l-groups which was introduced by E.Casari. The main result of the paper is a representation theorem which yields both Chang's representation of MV-algebras and Clifford's representation of Abelian l-groups as immediate corollaries.
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  35. Logic in 3 Schools of Linguistics.Mv Aldridge - 1988 - South African Journal of Philosophy-Suid-Afrikaanse Tydskrif Vir Wysbegeerte 7 (2):57-65.
     
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  36. Trinitarian Theology-Hegelian Vis-a-Vis Advaitic.Mv Bruck - 1983 - Journal of Dharma 8 (3):283-295.
     
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  37.  13
    Towards a Phenomenological Understanding of the Ontological Aspects of Teaching and Learning.James M. Magrini - 2013 - Linguistic and Philosophical Investigations 12:122-149.
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  38. Chronique d'anthropologie.Mv Leroy - 1975 - Revue Thomiste 75:121-142.
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  39.  12
    A Characterization of MV-Algebras Free Over Finite Distributive Lattices.Vincenzo Marra - 2008 - Archive for Mathematical Logic 47 (3):263-276.
    Mundici has recently established a characterization of free finitely generated MV-algebras similar in spirit to the representation of the free Boolean algebra with a countably infinite set of free generators as any Boolean algebra that is countable and atomless. No reference to universal properties is made in either theorem. Our main result is an extension of Mundici’s theorem to the whole class of MV-algebras that are free over some finite distributive lattice.
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  40.  20
    Representations of Monadic MV -Algebras.L. Peter Belluce, Revaz Grigolia & Ada Lettieri - 2005 - Studia Logica 81 (1):123-144.
    Representations of monadic MV -algebra, the characterization of locally finite monadic MV -algebras, with axiomatization of them, definability of non-trivial monadic operators on finitely generated free MV -algebras are given. Moreover, it is shown that finitely generated m-relatively complete subalgebra of finitely generated free MV -algebra is projective.
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  41.  39
    New Types of Hyper MV-Deductive Systems in Hyper MV-Algebras.Young Bae Jun, Min Su Kang & Hee Sik Kim - 2010 - Mathematical Logic Quarterly 56 (4):400-405.
    The notions of a hyper MV-deductive system, a -hyper MV-deductive system, a - hyper MV-deductive system, a -hyper MV-deductive system, a -hyper MV-deductive system and a -hyper MV-deductive system are introduced, and then their relations are investigated.
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  42.  13
    Perfect MV-Algebras and L-Rings.Lawrence P. Belluce, Antonio Di Nola & George Georgescu - 1999 - Journal of Applied Non-Classical Logics 9 (1):159-172.
    ABSTRACT In this paper we shall prove that l-rings are categorally equivalent to the MV*-algebras, a subcategory of perfect MV-algebras. We shall use this equivalence in order to characterize l-rings as quotients of certain semirings of matrices over MV*-algebras. We shall establish a relation between l-ideals in l-rings and some ideals in MV*-algebras. This edlows us to study the MV* f-algebras, a subclass of the MV*-algebras corresponding to the f-rings.
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  43.  20
    Algebraic Geometry for Mv-Algebras.Lawrence P. Belluce, Antonio di Nola & Giacomo Lenzi - 2014 - Journal of Symbolic Logic 79 (4):1061-1091.
  44.  38
    Mv Retreat From Russia.N. S. Timasheff - 1950 - Thought: Fordham University Quarterly 25 (4):733-736.
  45. Tracking Aristotle's Noûs in Human Nature and Natural Knowledge.Mv Wedin - 1986 - Boston Studies in the Philosophy of Science 89:167-197.
  46.  12
    Commutative Rings Whose Ideals Form an MV‐Algebra.Lawrence P. Belluce & Antonio Di Nola - 2009 - Mathematical Logic Quarterly 55 (5):468-486.
    In this work we introduce a class of commutative rings whose defining condition is that its lattice of ideals, augmented with the ideal product, the semi-ring of ideals, is isomorphic to an MV-algebra. This class of rings coincides with the class of commutative rings which are direct sums of local Artinian chain rings with unit.
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  47.  33
    An Elementary Presentation of the Equivalence Between MV-Algebras and L-Groups with Strong Unit.Roberto Cignoli & Daniele Mundici - 1998 - Studia Logica 61 (1):49-64.
    Aim of this paper is to provide a self-contained presentation of the natural equivalence between MV-algebras and lattice-ordered abelian groups with strong unit.
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  48.  10
    Gödel Spaces and Perfect MV-Algebras.Antonio Di Nola & Revaz Grigolia - 2015 - Journal of Applied Logic 13 (3):270-284.
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  49. Theories on a Historical Explanation of Post-World-War-2 Anglo-American Philosophy.Mv Predavalmagrini - 1986 - Rivista di Storia Della Filosofia 41 (1):113-134.
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  50. MV 1991. El sacrificio humano adivinatorio céltico y la religión de los lusitanos.García Quintela - 1997 - Polis 3:25-37.
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