SummaryThe main question of this paper is — how do representational pictures convey information? I argue: 1) This question is approached from three opposing metaphysical frameworks. a) Monism answers this question by treating representational pictures as a species of cognitive symbolism. b) Polarism answers this question by sharply distinguishing between natural symbolism and languages; and, between symbolism and reality — representational pictures are natural symbols, mimics of reality. c) Pluralism treats pictures as occupying a mid‐point between the scales of reality (...) /illusion, knowledge/deception — representational pictures are quasi‐symbolic simulations. 2) The occurrence of institutionalized deception , the game of creating/having false visual hypotheses without the making of false intellectual hypotheses — undermines monism and polarism. Consequently, 3) the pluralist approach — we gain information on the intellectual plane by the use of perceptual deception — is the most promising for explaining how representational pictures convey information.RésuméLa question principale dont s'occupe cet article est »Comment les images représentatives transmettent de l'information?« Mon argumentation: 1) Cette question est abordée dans trois cadres métaphysiques opposés: a) le monisme répond à cette question en la traitant comme une variété de symbolisme cognitif; b) le polarisme y répond en distinguant strictement entre le symbolisme naturel et les langages et entre le symbolisme et la réalité— les images représentatives sont des symboles naturels, des imitations de la réalité; c) le pluralisme traite les images comme occupant un point médian entre les échelles »realité/illusion«, »connaissance/erreur«. Les images représentatives sont des simulations quasi‐symboliques. 2) L'existence de »tromperies institutionalisées« , le jeu consistant á créer/avoir des hypothèses visuelles fausses sans faire des hypothèses intellectuelles fausses, condamnent le monisme et le polarisme. Par conséquent 3) l'approche pluraliste constitue la voie la plus prometteuse pour expliquer comment les images représentatives apportent de I'information.ZusammenfassungDie Hauptfrage, die in dem vorliegenden Aufsatz behandelt wird, ist die, wie repräsentationale Bilder Information vermitteln. Meine Argumentation lautet: 1.) Die Frage wird von drei entgegengesetzten metaphysischen Standpunkten her angegangen. a) Der Monismus beantwortet die Frage, indem er repräsentationale Bilder als eine Art von kognitiven Symbolen behandelt. b) Der Polarismus beantwortet die Frage, indem er scharf zwischen natürlichen Symbolen und Sprachen einerseits und zwischen Symbolismus und Wirklichkeit anderseits unterscheidet . c) Der Pluralismus behandelt Bilder als ein Zwischending, das in der Mitte von Wirklichkeit Illusion der Wissen/Täuschung lokalisiert wird . 2) Das Vorkommen von institutionalisierter Täuschung , das Spiel, das darin besteht, falsche visuelle Hypothesen zu schaffedhaben ohne falsche intellektuelle Hypothesen zu machen untergraben die Position des Monismus und des Polarismus. Folglich ist 3.) der pluralistische Standpunkt wonach wir auf intellektueller Ebene durch den Gebrauch von Wahrnehmungstäuschung Information gewinnen, der vielversprechenste für die Erklärung, wie repräsentationale Bilder Information vermitteln. (shrink)

This article discusses epistemological and methodological problems brought forth during the study of management practices in companies and organisations based on an ethnomethodological approach. Ethnomethodological issues and knowledge in organaisation management and the complexity of the involvement of the researcher will be discussed by way of analysis of six controversial reports on the involvement of the researcher. Our aim is to clarify the nature of the work carried out by the researcher. Therefore the questions of the neutrality of the researchers (...) and the dialectical immersion-distancing with regards to the objects being studied will be discussed. The aim of this article is to show the theoretical and epistemological interest of the organisation ethnomethodology in a constructivist perspective with regards to management sciences research. (shrink)

Mullah Jazarī’s Sufi and mystic poetry blends the Kurdish and the Arabic languages under the influence of the Persian and Turkish tradition of poetry. This is manifested as a cross-cultural element in his poetry. This study examines this cross-cultural manifest Aron in Mullah Jazarī’s poetry through his poetical expressions on religion and Sufism. The main strength of his poetry is the blend of religion and Sufism in a symbolic and allegorical portrayal of the concepts of love and beauty of the (...) Divine. There is a dearth of studies on the Divine aspect of Beauty in Mullah Jazarī’s Sufi poetry. This study adopted a historical and descriptive research design to collect and investigate evidence of the cross-cultural manifestation in Mullah Jazarī’s poetry. Both primary and secondary data were used from available sources to fill the literature gap. The study found out that love and beauty are two most fundamental themes of Mullah Jazarī’s poetry, manifested through a symbols and analogies. Due to its mystic approach, the readers are enchanted by the manner in which the poet unites the love and beauty of a woman with the divine mystical experiences. (shrink)

The author presents Gernot Böhme’s median mode of being theory, which attempts to find an anthropological middle ground between the rational and the irrational, the spiritual and the corporeal and the active and passive in human experience. Böhme’s reflections on the median mode of being are normative in character and linked to the concept of “sovereign man,” which he strongly defends and whose main characteristics Hoffmann outlines in the first part of the essay. Among others, Hoffmann argues against (...) Böhme’s excessive emphasis on the controlling/restrictive functions of awareness at the cost of those functions which serve to protect and stimulate life, his non-distinction between the distance to a cognized object and its intellectual instrumentalisation, and his rather one-sided tendency to seek the sources of European rationalism in the Socra-tean tradition. (shrink)

The plane of the present is a concept that is useful for discussing the various paradigms of time. Here by ‘plane of the present’ we mean the temporal interface that represents the present instant and that forms the boundary between the past and the future. We use the geometrical term ‘plane’ to indicate an extended surface in the space-time continuum, as opposed to a ‘point’ on some time axis. This point/plane dichotomy is intended to raise issues (...) of extension and simultaneity and to examine the degree to which these are meaningful concepts from various physical viewpoints. We will show by example in the present work that the plane of the present is a pivotal concept that offers considerable power in differentiating between various views of the nature of time. The concept of time within the main stream of physics thinking has followed a rather convoluted path over the past three millennia. Anticipating the modern motion picture, Zeno of Elea (c.490-c.430 B.C) questioned whether time should appropriately be viewed as a continuously flowing river, or should more properly be considered as a rapid sequence of stop-motion ‘freeze-frames’, in effect rendering geometrical each instant as a separate infinitesimal point on the line of time. Adopting this view, he asked how physical motion could occur. He argued paradoxically that motion is not possible, since it appears to happen only between the frozen frames of time instants.1 From the viewpoint of Zeno, the plane of the present would be simply the last and most recent in this sequence of freeze-frames. It would be that frozen instant, spanning the universe, which changes progressively as the instant we call ‘now’ becomes the frozen past and future possibility freezes into the ‘now’ of present reality. We note that the plane of the present as a concept does not resolve the arrow paradox that Zeno raised. It only provides a way of thinking about it. (shrink)

Durante el siglo XIX, siguiendo un modelo “gerschenkroniano” de intervención estatal, surgieron en la Europa continental unos sistemas educativos centralizados y estructurados en distintos niveles. Este artículo analiza los planes de estudio de la enseñanza secundaria aprobados entre 1821 y 1936, publicados en La Gaceta de Madrid, y su implantación en el instituto Cardenal Cisneros de Madrid entre 1886 y 1936, a través de los libros de matrícula. Del análisis se deduce que la normativa puede considerarse excesiva, innecesaria y superficial, (...) y generó una inestabilidad legislativa que tuvo efectos negativos en el Cisneros: frecuente reordenación de la enseñanza, coexistencia de varios planes de estudios, sustitución de unos por otros sin haber sido implantados en su totalidad, e improvisación constante de unas asignaturas cada vez más numerosas. La variación anual en el número de matrículas de cada asignatura, elevada y a menudo errática con excepción de las etapas de relativa calma legislativa, refleja el nivel de confusión y caos generado por la inestabilidad legislativa entre alumnos, tanto oficiales como no oficiales, y profesores. (shrink)

The present investigation was undertaken to investigate the acute toxicity of cadmium, a heavy metal widely detected in the aquatic environment due to natural effects and anthropogenic activities, in freshwater teleost, Channa punctata (Bloch). The experiments for the bioassay were performed in semi-static test condition according to the standard guidelines. The behavioural changes in the fish were observed for all tested concentrations of the metal. The data obtained for bioassay were analyzed for median lethal concentrations (LC ) of the (...) metal by SPSS computer software. The LC 50 50 values, estimated by SPSS, with 95% confidence level were found to be:20.589 (18.326-23.221), 17.133 (14.840- 19.734), 11.815 (9.696 – 13.850) mg/L and 9.908 (7.635-12381) mg/L for cadmium chloride at 24, 48, 72 and 96 h exposure, respectively. (shrink)

This essay juxtaposes concepts created by Gilles Deleuze and Félix Guattari with worlds imagined by Ursula Le Guin in a performance of ‘rhizosemiotic play’ that explores some possible ways of generating and sustaining what William Pinar calls ‘complicated conversation’ within the regime of signs that constitutes an increasingly internationalized curriculum field. Deleuze and Guattari analyze thinking as flows or movements across space. They argue, for example, that every mode of intellectual inquiry needs to account for the plane of immanence (...) upon which it operates—the preconceptual field presupposed by the concepts that inquiry creates. Curriculum inquiry currently operates on numerous nationally distinctive planes of immanence. I argue that the internationalization of curriculum studies should not presume a singular transnational plane of immanence but, rather, envisage a process performed by curriculum scholars with the capacities and competencies to change planes—to move between one plane of immanence and another and/or to transform their own planes. My essay is a ‘narrative experiment’ that takes seriously Deleuze’s argument that a work of philosophy should be, in part, a kind of science fiction, and also takes inspiration from Le Guin’s science fictional stories of ‘changing planes’ to generate productive and disruptive transnational agendas in curriculum inquiry. (shrink)

Originating from work in operations research the cutting plane refutation systemCP is an extension of resolution, where unsatisfiable propositional logic formulas in conjunctive normal form are recognized by showing the non-existence of boolean solutions to associated families of linear inequalities. Polynomial sizeCP proofs are given for the undirecteds-t connectivity principle. The subsystemsCP q ofCP, forq≥2, are shown to be polynomially equivalent toCP, thus answering problem 19 from the list of open problems of [8]. We present a normal form theorem (...) forCP 2-proofs and thereby for arbitraryCP-proofs. As a corollary, we show that the coefficients and constant terms in arbitrary cutting plane proofs may be exponentially bounded by the number of steps in the proof, at the cost of an at most polynomial increase in the number of steps in the proof. The extensionCPLE +, introduced in [9] and there shown top-simulate Frege systems, is proved to be polynomially equivalent to Frege systems. Lastly, since linear inequalities are related to threshold gates, we introduce a new threshold logic and prove a completeness theorem. (shrink)

In his book, Earth and Other Ethics, Christopher Stone attempts to account for the moral dimension of our lives insofar as it extends to nonhuman animals, plants, species, ecosystems, and even inanimate objects. In his effort to do this, he introduces a technical notion, the moral plane. Moral planes are defined both by the ontological commitments they make and by the governance mIes (moral maxims) that pertain to the sorts of entities included in the plane. By introducing these (...) planes, Stone is left with a set of problems. (1) Do the planes provide anything more objective than a set of alternative ways of looking at moral problems? (2) How can one resolve apparent conflicts between the recommendations forthcoming from distinct planes? (3) Why do certain entities constitute moral planes; and how do we decide which planes to “buy into?” Stone’s answers to these questions endorse aseries of concessions to moral relativism. In this paper I outline an alternative to Stone’s moral planes which, while sympathetic to his ethical concerns, comes down squarelyon the side of moral realism. (shrink)

A new dimension is given to modulo theory by defining MOD planes. In this book, the authors consolidate the entire four quadrant plane into a single quadrant plane defined as the MOD planes. MOD planes can be transformed to infinite plane and vice versa. Several innovative results in this direction are obtained. This paradigm shift will certainly lead to new discoveries.

El presente artículo aborda un tema novedoso dentro del Derecho, siendo objeto de estudio del Derecho Urbanístico en especial, tanto para la enseñanza pregraduada como postgraduada, que analiza el alcance jurídico de los planes de ordenamiento territorial y urbanismo como auténticas normas jurídicas, su contenido, elaboración y vía de aprobación, constatando la importancia de otorgarle a dichos planes autenticidad jurídica, no como simple instrumento jurídico, sino como norma que integra el ordenamiento normativo de nuestra sociedad.

Uno de los puntos más recurrentes en los últimos años en las políticas sociales en la Argentina es la presencia cada vez más importante de las mujeres como "sujetos" de dichas políticas. En contraste con la difusión oficial de los beneficios de la intervención en los contextos de pobreza y expulsión social, los relatos de las mujeres dibujan un conjunto de experiencias y sensibilidades de segregación y dependencia cada vez mayor. El presente artículo tiene por objetivo hacer evidente desde la (...) voz de las mujeres pobres del conurbano bonaerense, las políticas de los cuerpos y de las emociones que los planes que ellas reciben construyen e implican. La estrategia argumentativa es la siguiente: a) se sintetiza el punto de partida teórico y metodológico del trabajo, b) se presenta un bosquejo de la problemática desde los relatos de las mujeres, y c) se resumen algunas de las conclusiones del estudio realizado. (shrink)

Traditional geometry concerns itself with planimetric and stereometric considerations, which are at the root of the division between plane and solid geometry. To raise the issue of the relation between these two areas brings with it a host of different problems that pertain to mathematical practice, epistemology, semantics, ontology, methodology, and logic. In addition, issues of psychology and pedagogy are also important here. To our knowledge there is no single contribution that studies in detail even one of the aforementioned (...) areas. (shrink)

We show that K-generic projective planes have Morley rank either two or infinity. We also show give a direct argument that such planes are not Desarguesian.

In Black Panther, T'Challa and Erik "Killmonger" Stevens experience audiences with their departed fathers. Careful analysis of the second and especially the third Ancestral Plane visits downplays the metaphysical, leading toward a metaphor for better understanding one's place in the world. M'Baku fights gallantly, but T'Challa prevails, and bolsters his worthiness for the throne by sparing M'Baku's life. T'Challa rises from the ground, not in the entombed Hall of Kings, but in what appears to be an African savanna where (...) the sky is rippled in majestic blues and purples, giving off a twilight ambiance. Ingesting it increases one's strength, speed, agility, and stamina. It is akin to Captain America's super soldier serum, which reminds us of that awesome footrace between T'Challa and Steve in Avengers: Infinity War. The Heart Shaped Herb potion, then, helps T'Challa and Killmonger achieve greater focus on each man's past and allows a better perspective on who each one. (shrink)

We show that plane hyperbolic geometry, expressed in terms of points and the ternary relation of collinearity alone, cannot be expressed by means of axioms of complexity at most ∀∃∀, but that there is an axiom system, all of whose axioms are ∀∃∀∃ sentences. This remains true for Klingenberg's generalized hyperbolic planes, with arbitrary ordered fields as coordinate fields.

Several authors have suggested that a more parsimonious and conceptually elegant treatment of everyday mereological and topological reasoning can be obtained by adopting a spatial ontology in which regions, not points, are the primitive entities. This paper challenges this suggestion for mereotopological reasoning in two-dimensional space. Our strategy is to define a mereotopological language together with a familiar, point-based interpretation. It is proposed that, to be practically useful, any alternative region-based spatial ontology must support the same sentences in our language (...) as this familiar interpretation. This proposal has the merit of transforming a vague, open-ended question about ontologies for practical mereotopological reasoning into a precise question in model theory. We show that (a version of) the familiar interpretation is countable and atomic, and therefore prime. We conclude that useful alternative ontologies of the plane are, if anything, less parsimonious than the one which they are supposed to replace. (shrink)

Proposition I.1 is, by far, the most popular example used to justify the thesis that many of Euclid’s geometric arguments are diagram-based. Many scholars have recently articulated this thesis in different ways and argued for it. My purpose is to reformulate it in a quite general way, by describing what I take to be the twofold role that diagrams play in Euclid’s plane geometry (EPG). Euclid’s arguments are object-dependent. They are about geometric objects. Hence, they cannot be diagram-based unless (...) diagrams are supposed to have an appropriate relation with these objects. I take this relation to be a quite peculiar sort of representation. Its peculiarity depends on the two following claims that I shall argue for: ( i ) The identity conditions of EPG objects are provided by the identity conditions of the diagrams that represent them; ( ii ) EPG objects inherit some properties and relations from these diagrams. (shrink)

In recent years, there has been renewed interest in the development of formal languages for describing mereological (part-whole) and topological relationships between objects in space. Typically, the non-logical primitives of these languages are properties and relations such as `x is connected' or `x is a part of y', and the entities over which their variables range are, accordingly, not points, but regions: spatial entities other than regions are admitted, if at all, only as logical constructs of regions. This paper considers (...) two first-order mereotopological languages, and investigates their expressive power. It turns out that these languages, notwithstanding the simplicity of their primitives, are surprisingly expressive. In particular, it is shown that infinitary versions of these languages are adequate to express (in a sense made precise below) all topological relations over the domain of polygons in the closed plane. (shrink)

This article aims to rethink the meaning of “nature” and the human in Plato, more specifically through some examples contained in the _Phaedrus_, a rare dialogue further away from the city. Phaedrus and Socrates leave Athens on a path outside the walls, past the Ilisus stream and the breeze of the woods, and end up sitting in the shadows of trees full of singing cicadas. What is the meaning of this scenario in the construction o the text? Is it possible (...) to learn from oak trees or insects? The philosophizing of this dialogue passes through the coolness of the shadows of the trees in the hot summer noon. This sensuous topography through the text reveals the writer Plato wary of the enveloping meaning of the living drama between Phaedrus and Socrates. The audience and participation of natural elements, trees and cicadas in the dialogue reveals an involvement of the discourse with the surrounding atmosphere, a special concern of Socrates in his palinode and in his final prayer to Pan. In this dialogue, more than distinct and removed from nature, we think the human being (and reason) immersed in it - in an attempt to integrate a mythological and dialogical search between river, rock, plants, animals, humans, gods and demigods. The image of an overly rationalist and humanist Plato finds in this text a perspective of an inspired writer, a hybrid poet and philosopher, with a mission to restore language and the city to animal and cosmic life. (shrink)

We consider small-weight Cutting Planes (CP * ) proofs; that is, Cutting Planes (CP) proofs with coefficients up to $\operatorname{Poly}(n)$ . We use the well known lower bounds for monotone complexity to prove an exponential lower bound for the length of CP * proofs, for a family of tautologies based on the clique function. Because Resolution is a special case of small-weight CP, our method also gives a new and simpler exponential lower bound for Resolution. We also prove the following (...) two theorems: (1) Tree-like CP * proofs cannot polynomially simulate non-tree-like CP * proofs. (2) Tree-like (CP * proofs and Bounded-depth-Frege proofs cannot polynomially simulate each other. Our proofs also work for some generalizations of the CP * proof system. In particular, they work for CP * with a deduction rule, and also for any proof system that allows any formula with small communication complexity, and any set of sound rules of inference. (shrink)

We show that the first-order theory of a large class of plane geometries and the first-order theory of their groups of motions, understood both as groups with a unary predicate singling out line-reflections, and as groups acting on sets, are mutually inter-pretable.