Results for 'Cube of oppositions'

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  1.  9
    Generalization and Composition of Modal Squares of Oppositions.Claudio Pizzi - 2016 - Logica Universalis 10 (2-3):313-325.
    The first part of the paper aims at showing that the notion of an Aristotelian square may be seen as a special case of a variety of different more general notions: the one of a subAristotelian square, the one of a semiAristotelian square, the one of an Aristotelian cube, which is a construction made up of six semiAristotelian squares, two of which are Aristotelian. Furthermore, if the standard Aristotelian square is seen as a special ordered 4-tuple of formulas, there (...)
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  2. The Cube, the Square and the Problem of Existential Import.Saloua Chatti & Fabien Schang - 2013 - History and Philosophy of Logic 34 (2):101-132.
    We re-examine the problem of existential import by using classical predicate logic. Our problem is: How to distribute the existential import among the quantified propositions in order for all the relations of the logical square to be valid? After defining existential import and scrutinizing the available solutions, we distinguish between three possible cases: explicit import, implicit non-import, explicit negative import and formalize the propositions accordingly. Then, we examine the 16 combinations between the 8 propositions having the first two kinds of (...)
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  3.  26
    Logical Geometries and Information in the Square of Oppositions.Hans Smessaert & Lorenz Demey - 2014 - Journal of Logic, Language and Information 23 (4):527-565.
    The Aristotelian square of oppositions is a well-known diagram in logic and linguistics. In recent years, several extensions of the square have been discovered. However, these extensions have failed to become as widely known as the square. In this paper we argue that there is indeed a fundamental difference between the square and its extensions, viz., a difference in informativity. To do this, we distinguish between concrete Aristotelian diagrams and, on a more abstract level, the Aristotelian geometry. We then (...)
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  4. Squares of Oppositions, Commutative Diagrams, and Galois Connections for Topological Spaces and Similarity Structures.Thomas Mormann - manuscript
    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.
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  5.  15
    Not Only Barbara.Paul J. E. Dekker - 2015 - Journal of Logic, Language and Information 24 (2):95-129.
    With this paper I aim to demonstrate that a look beyond the Aristotelian square of opposition, and a related non-conservative view on logical determiners, contributes to both the understanding of Aristotelian syllogistics as well as to the study of quantificational structures in natural language.
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  6.  17
    Leibniz’s Logic and the “Cube of Opposition”.Wolfgang Lenzen - 2016 - Logica Universalis 10 (2-3):171-189.
    After giving a short summary of the traditional theory of the syllogism, it is shown how the square of opposition reappears in the much more powerful concept logic of Leibniz. Within Leibniz’s algebra of concepts, the categorical forms are formalized straightforwardly by means of the relation of concept-containment plus the operator of concept-negation as ‘S contains P’ and ‘S contains Not-P’, ‘S doesn’t contain P’ and ‘S doesn’t contain Not-P’, respectively. Next we consider Leibniz’s version of the so-called Quantification of (...)
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  7.  10
    The Critics of Paraconsistency and of Many-Valuedness and the Geometry of Oppositions.Alessio Moretti - 2010 - Logic and Logical Philosophy 19 (1-2):63-94.
    In 1995 Slater argued both against Priest’s paraconsistent system LP (1979) and against paraconsistency in general, invoking the fundamental opposition relations ruling the classical logical square. Around 2002 Béziau constructed a double defence of paraconsistency (logical and philosophical), relying, in its philosophical part, on Sesmat’s (1951) and Blanche’s (1953) “logical hexagon”, a geometrical, conservative extension of the logical square, and proposing a new (tridimensional) “solid of opposition”, meant to shed new light on the point raised by Slater. By using n-opposition (...)
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  8.  2
    Logically-Consistent Hypothesis Testing and the Hexagon of Oppositions.Julio Michael Stern, Rafael Izbicki, Luis Gustavo Esteves & Rafael Bassi Stern - 2017 - Logic Journal of the IGPL 25 (5):741-757.
    Although logical consistency is desirable in scientific research, standard statistical hypothesis tests are typically logically inconsistent. To address this issue, previous work introduced agnostic hypothesis tests and proved that they can be logically consistent while retaining statistical optimality properties. This article characterizes the credal modalities in agnostic hypothesis tests and uses the hexagon of oppositions to explain the logical relations between these modalities. Geometric solids that are composed of hexagons of oppositions illustrate the conditions for these modalities to (...)
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  9. Abstract Logic of Oppositions.Fabien Schang - 2012 - Logic and Logical Philosophy 21 (4):415--438.
    A general theory of logical oppositions is proposed by abstracting these from the Aristotelian background of quantified sentences. Opposition is a relation that goes beyond incompatibility (not being true together), and a question-answer semantics is devised to investigate the features of oppositions and opposites within a functional calculus. Finally, several theoretical problems about its applicability are considered.
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  10.  34
    Why Care Beyond the Square? Classical and Extended Shapes of Oppositions in Their Application to „Introspective Disputes“.Fink S. Benjamin - 2017 - In Jean-Yves Béziau & Gianfranco Basti (eds.), The Square of Opposition: A Cornerstone of Thought (Studies in Universal Logic). Birkhäuser. pp. 325-337.
    So called “shapes of opposition”—like the classical square of opposition and its extensions—can be seen as graphical representations of the ways in which types of statements constrain each other in their possible truth values. As such, they can be used as a novel way of analysing the subject matter of disputes. While there have been great refinements and extensions of this logico-topological tool in the last years, the broad range of shapes of opposition are not widely known outside of a (...)
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  11.  42
    A Magic Cube of Six.H. M. Kingery - 1909 - The Monist 19 (3):434-441.
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  12.  38
    A Magic Cube of Six.Harry A. Sayles - 1910 - The Monist 20 (2):299-303.
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  13.  5
    A New Reading of Archytas’ Doubling of the Cube and its Implications.Ramon Masià - 2016 - Archive for History of Exact Sciences 70 (2):175-204.
    The solution attributed to Archytas for the problem of doubling the cube is a landmark of the pre-Euclidean mathematics. This paper offers textual arguments for a new reading of the text of Archytas’ solution for doubling the cube, and an approach to the solution which fits closely with the new reading. The paper also reviews modern attempts to explain the text, which are as complicated as the original, and its connections with some xvi-century mathematical results, without any documented (...)
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  14.  27
    Reclaiming the Human Stratum, Acknowledging the Complexity of Social Behaviour: From the Linguistic Turn to the Social Cube in Theory of Decision-Making.Touko Piiparinen - 2006 - Journal for the Theory of Social Behaviour 36 (4):425–452.
    Roy Bhaskar's Social Cube model based on critical realist philosophy has not been dealt with in theory of decision-making at any length, nor has it raised any notable debate in social theory in general. The model demonstrates that decision-making is regulated and transformed by a constantly evolving complexity of mechanisms emerging from physical, mental, material, human and social levels of reality. With the help of this device, Graham Allison's argument against the Rational Actor Model that decisions are not so (...)
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  15.  9
    Cube Living 221A: The Parallax of Spatial Commodities.Alex Grünenfelder - 2015 - International Journal of Žižek Studies 9 (1).
    Cube Living 221A is the most recent iteration of the Cube Living project, initiated in 2008. It appropriates the language, media and social practices of real estate development campaigns to engage in speculation about spatial ontologies, examining how social, legal and financial conventions determine the creation of space in our cities.This paper describes the staging and production process by which Cube Living 221A performs the creation of a spatial commodity. Drawing on the concepts presented in Žižek’s 2009 (...)
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  16.  5
    Structures of Oppositions in Public Announcement Logic.Lorenz Demey - 2012 - In J.-Y. Beziau & Dale Jacquette (eds.), Around and Beyond the Square of Opposition. Birkhäuser. pp. 313--339.
  17.  30
    Applications of Squares of Oppositions and Their Generalizations in Philosophical Analysis.Jan Woleński - 2008 - Logica Universalis 2 (1):13-29.
    . This papers examines formal properties of logical squares and their generalizations in the form of hexagons and octagons. Then, several applications of these constructions in philosophical analysis are elaborated. They concern contingency (accidentality), possibility, permission, axiological concepts (bonum and malum), the generalized Hume thesis (deontic and epistemic modalities), determinism, truth and consistency (in various senses. It is shown that relations between notions used in various branches of philosophy fall into the same formal scheme.
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  18.  14
    A Square of Oppositions in Intuitionistic Logic with Strong Negation.François Lepage - 2016 - Logica Universalis 10 (2-3):327-338.
    In this paper, we introduce a Hilbert style axiomatic calculus for intutionistic logic with strong negation. This calculus is a preservative extension of intuitionistic logic, but it can express that some falsity are constructive. We show that the introduction of strong negation allows us to define a square of opposition based on quantification on possible worlds.
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  19.  38
    Aristotle’s Non-Logical Works and the Square of Oppositions in Semiotics.Stefania Bonfiglioli - 2008 - Logica Universalis 2 (1):107-126.
    . This paper aims to highlight some peculiarities of the semiotic square, whose creation is due in particular to Greimas’ works. The starting point is the semiotic notion of complex term, which I regard as one of the main differences between Greimas’ square and Blanché’s hexagon. The remarks on the complex terms make room for a historical survey in Aristotle’s texts, where one can find the philosophical roots of the idea of middle term between two contraries and its relation to (...)
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  20.  18
    On a Problem of P(Α, Δ, Π) Concerning Generalized Alexandroff S Cube.Jaros?aw Achinger - 1986 - 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 ( ).
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  21.  6
    The Unity of Oppositions: Reason’s Self-Knowledge.Joris Spigt - 2018 - Hegel-Jahrbuch 11 (1):182-186.
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  22.  27
    The Paradox of Oppositions: King Kong and the Question of Anthrozoomorphic Hybrids in Cinema.Dario Martinelli - 2014 - Semiotics:293-307.
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  23.  3
    On the Opposing of Oppositions: ‘Projection’ Revisited.Oliver Tromans - forthcoming - Heythrop Journal.
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  24.  17
    Oppositions of Religious Doctrines: A Study in the Logic of Dialogue Among Religions. [REVIEW]Louis Dupré - 1975 - New Scholasticism 49 (2):239-240.
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  25.  13
    "Oppositions of Religious Doctrines: A Study in the Logic of Dialogue Among Religions," by William A. Christian.Roland J. Teske - 1974 - Modern Schoolman 52 (1):114-114.
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  26.  13
    Ethica Dialectica: A Study of Ethical Oppositions. By Howard P. Kainz.Barbara MacKinnon - 1980 - Modern Schoolman 57 (4):368-369.
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  27.  24
    Caldwell H. S.. The Recognition and Identification of Symmetric Switching Functions. Transactions of the American Institute of Electrical Engineers, Vol. 73 Part I , Pp. 142–146.Lee C. Y.. Switching Functions on an N-Dimensional Cube. Transactions of the American Institute of Electrical Engineers, Vol. 73 Part I , Pp. 289–291. [REVIEW]Raymond J. Nelson - 1955 - Journal of Symbolic Logic 20 (2):197-197.
  28.  60
    The Postmodern Sublime: Kant and Tony Smith's Anecdote of the Cube.Paul G. Beidler - 1995 - Journal of Aesthetics and Art Criticism 53 (2):177-186.
  29.  20
    An Application of Logic to Combinatorial Geometry: How Many Tetrahedra Are Equidecomposable with a Cube?Vladik Kreinovich & Olga Kosheleva - 1994 - Mathematical Logic Quarterly 40 (1):31-34.
    The main result of this paper were announced in Kosheleva — Kreinovich [7, 8]; for other algorithmic aspects of Hilbert's Third Problem see Kosheleva [6]. The authors are greatly thankful to Alexandr D. Alexandrov , Vladimir G. Boltianskii and Patrick Suppes for valuable discussions, and to the anonymous referee for important suggestions. This work was partially supported by an NSF grant No. CDA-9015006.
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  30.  19
    Review: Iu. I. Zhuravlev, On the Separability of Subsets of the Vertices of an N-Dimensional Unit Cube[REVIEW]Richard C. Jeffrey - 1959 - Journal of Symbolic Logic 24 (2):188-189.
  31.  12
    Žuravlév Ú. I.. Ob Otdélimosti Podmnožéstv Vérših N-Mérnogo Édiničnogo Kuba. Doklady Akadémii Nauk SSSR, Vol. 113 , Pp. 264–267.Zhuravlev Iu. I.. On the Separability of Subsets of the Vertices of an N-Dimensional Unit Cube. English Translation of the Preceding. Multilith-Offset. Morris D. Friedman, Inc., Needham Heights, Mass., C. 1958, 6 Pp. [REVIEW]Richard C. Jeffrey - 1959 - Journal of Symbolic Logic 24 (2):188-189.
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  32.  29
    Generalization of Scott's Formula for Retractions From Generalized Alexandroff's Cube.Jaros?aw Achinger - 1986 - 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.
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  33.  14
    A Note on Leslie's Cube in the Study of Radiant Heat.Richard G. Olson - 1969 - Annals of Science 25 (3):203-208.
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  34.  11
    Review: H. S. Caldwell, The Recognition and Identification of Symmetric Switching Functions; C. Y. Lee, Switching Functions on an N-Dimensional Cube[REVIEW]Raymond J. Nelson - 1955 - Journal of Symbolic Logic 20 (2):197-197.
  35.  6
    The Cube Generalizing Aristotle's Square in Logic of Determination of Objects (LDO).Jean-Pierre Desclés & Anca Pascu - 2012 - In J.-Y. Beziau & Dale Jacquette (eds.), Around and Beyond the Square of Opposition. Birkhäuser. pp. 277--291.
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  36.  5
    The Effects of Age on Perceptual Changes Using Two New Perspectives of the Necker Cube.Gary L. Holt & Johnny L. Matson - 1976 - Bulletin of the Psychonomic Society 8 (1):4-6.
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  37.  4
    Review: V. I. Kolpakov, Estimate of the Number of Covers of the $N$-Dimensional Cube[REVIEW]Ann S. Ferebee - 1972 - Journal of Symbolic Logic 37 (3):627-627.
  38.  3
    Necker Cube: Duration of Preexposure of an Unambiguous Form.Phillip L. Emerson - 1979 - Bulletin of the Psychonomic Society 14 (6):397-400.
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  39.  2
    Necker Cube Reversals as a Function of Age and IQ.Gary L. Holt & Johnny L. Matson - 1974 - Bulletin of the Psychonomic Society 4 (5):519-521.
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  40. Tradition, Modernity, and the Third Term of Binary Oppositions in Ken Bugal's Riwan Ou le Chemin de Sable.Alix Mazuet - 2012 - In Imaginary Spaces of Power in Sub-Saharan Literatures and Films. Cambridge Scholars Press.
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  41.  51
    Ice Cube and the Philosophical Foundations of Community Policing.Luke William Hunt - 2019 - Oxford University Press Blog.
    Essay on police legitimacy through public reason and community policing.
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  42.  8
    The Algebra of Geometric Impossibility: Descartes and Montucla on the Impossibility of the Duplication of the Cube and the Trisection of the Angle.Jesper Lützen - 2010 - Centaurus 52 (1):4-37.
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  43.  11
    Ethica Dialectica: A Study of Ethical Oppositions. Howard +P. Kainz.J. Patrick Dobel - 1981 - Ethics 91 (2):313-314.
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  44. Oppositions of Religious Doctrines a Study in the Logic of Dialogue Among Religions.William A. Christian - 1972
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  45. Oppositions of Religious Doctrines.William A. Christian - 1974 - Religious Studies 10 (1):122-124.
     
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  46.  18
    Homonymy Criteria as Oppositions of Content.Joseph DeChicchis - 1987 - Semiotics:89-94.
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  47.  4
    Electron Microscopy of ‘Giant’ Platelets on Cube Planes in Diamond.G. S. Woods - 1976 - Philosophical Magazine 34 (6):993-1012.
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  48.  8
    The Standardization of Knox's Cube Test.Rudolf Pintner - 1915 - Psychological Review 22 (5):377-401.
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  49.  2
    Studies on the Structure of Natural Diamond Crystals of the Cube Form.C. K. R. Varma - 1967 - Philosophical Magazine 16 (142):657-662.
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  50.  9
    Abstract: “To Take Up Again the Analysis of the Cube”.Luca Taddio - 2009 - Chiasmi International 11:275-275.
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