Results for 'logics of space'

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  1. Logic for Physical Space: From Antiquity to Present Days.Marco Aiello, Guram Bezhanishvili, Isabelle Bloch & Valentin Goranko - 2012 - Synthese 186 (3):619-632.
    Since the early days of physics, space has called for means to represent, experiment, and reason about it. Apart from physicists, the concept of space has intrigued also philosophers, mathematicians and, more recently, computer scientists. This longstanding interest has left us with a plethora of mathematical tools developed to represent and work with space. Here we take a special look at this evolution by considering the perspective of Logic. From the initial axiomatic efforts of Euclid, we revisit (...)
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  2. Towards a Philosophical Understanding of the Logics of Formal Inconsistency.Walter Carnielli & Abílio Rodrigues - 2015 - Manuscrito 38 (2):155-184.
    In this paper we present a philosophical motivation for the logics of formal inconsistency, a family of paraconsistent logics whose distinctive feature is that of having resources for expressing the notion of consistency within the object language in such a way that consistency may be logically independent of non-contradiction. We defend the view according to which logics of formal inconsistency may be interpreted as theories of logical consequence of an epistemological character. We also argue that in order (...)
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  3. Active Perception and the Representation of Space.Mohan Matthen - 2014 - In Dustin Stokes, Mohan Matthen & Stephen Biggs (eds.), Perception and Its Modalities. Oxford University Press. pp. 44-72.
    Kant argued that the perceptual representations of space and time were templates for the perceived spatiotemporal ordering of objects, and common to all modalities. His idea is that these perceptual representations were specific to no modality, but prior to all—they are pre-modal, so to speak. In this paper, it is argued that active perception—purposeful interactive exploration of the environment by the senses—demands premodal representations of time and space.
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  4. On the Philosophical Motivations for the Logics of Formal Consistency and Inconsistency.Walter Carnielli & Rodrigues Abilio - manuscript
    We present a philosophical motivation for the logics of formal inconsistency, a family of paraconsistent logics whose distinctive feature is that of having resources for expressing the notion of consistency within the object language. We shall defend the view according to which logics of formal inconsistency are theories of logical consequence of normative and epistemic character. This approach not only allows us to make inferences in the presence of contradictions, but offers a philosophically acceptable account of paraconsistency.
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  5.  79
    Leibniz, the Young Kant, and Boscovich on the Relationality of Space.Idan Shimony - 2016 - In Wenchao Li (ed.), Für Unser Glück Oder Das Glück Anderer, X. Internationaler Leibniz-Kongress. Hildesheim: Georg Olms. pp. Vol. 2, pp. 73-85.
    Leibniz’s main thesis regarding the nature of space is that space is relational. This means that space is not an independent object or existent in itself, but rather a set of relations between objects existing at the same time. The reality of space, therefore, is derived from objects and their relations. For Leibniz and his successors, this view of space was intimately connected with the understanding of the composite nature of material objects. The nature of (...)
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  6. The Completeness of Kant’s Metaphysical Exposition of Space.Henny Blomme - 2012 - Kant-Studien 103 (2):139-162.
    : In the first edition of his book on the completeness of Kant’s table of judgments, Klaus Reich shortly indicates that the B-version of the metaphysical exposition of space in the Critique of pure reason is structured following the inverse order of the table of categories. In this paper, I develop Reich’s claim and provide further evidence for it. My argumentation is as follows: Through analysis of our actually given representation of space as some kind of object, the (...)
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  7. On Philosophical Motivations for Paraconsistency: An Ontology-Free Interpretation of the Logics of Formal Inconsistency.Walter Carnielli & Abilio Rodrigues - manuscript
    In this paper we present a philosophical motivation for the logics of formal inconsistency, a family of paraconsistent logics whose distinctive feature is that of having resources for expressing the notion of consistency within the object language in such a way that consistency may be logically independent of non- contradiction. We defend the view according to which logics of formal inconsistency may be interpreted as theories of logical consequence of an epistemological character. We also argue that in (...)
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  8.  40
    Non-Deterministic Algebraization of Logics by Swap Structures.Marcelo E. Coniglio, Aldo Figallo-Orellano & Ana Claudia Golzio - forthcoming - Logic Journal of the IGPL.
    Multialgebras (or hyperalgebras or non-deterministic algebras) have been much studied in mathematics and in computer science. In 2016 Carnielli and Coniglio introduced a class of multialgebras called swap structures, as a semantic framework for dealing with several Logics of Formal Inconsistency (or LFIs) that cannot be semantically characterized by a single finite matrix. In particular, these LFIs are not algebraizable by the standard tools of abstract algebraic logic. In this paper, the first steps towards a theory of non-deterministic algebraization (...)
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  9. Space Emergence in Contemporary Physics: Why We Do Not Need Fundamentality, Layers of Reality and Emergence.Baptiste Le Bihan - 2018 - Disputatio 10 (49):71-95.
    Space does not exist fundamentally: it emerges from a more fundamental non-spatial structure.’ This intriguing claim appears in various research programs in contemporary physics. Philosophers of physics tend to believe that this claim entails either that spacetime does not exist, or that it is derivatively real. In this article, I introduce and defend a third metaphysical interpretation of the claim: reductionism about space. I argue that, as a result, there is no need to subscribe to fundamentality, layers of (...)
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  10.  68
    Ethics and the Potential Conflicts Between Astrobiology, Planetary Protection and Commercial Use of Space.Erik Persson - 2017 - Challenges 8 (1).
    A high standard of planetary protection is important for astrobiology, though the risk for contamination can never be zero. It is therefore important to find a balance. If extraterrestrial life has a moral standing in its own right, it will also affect what we have to do to protect it. The questions of how far we need to go to protect extraterrestrial life will be even more acute and complicated when the time comes to use habitable worlds for commercial purposes. (...)
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  11.  35
    Normality Operators and Classical Recapture in Extensions of Kleene Logics.Ciuni Roberto & Massimiliano Carrara - forthcoming - Logic Journal of the IGPL.
    In this paper, we approach the problem of classical recapture for LP and K3 by using normality operators. These generalize the consistency and determinedness operators from Logics of Formal Inconsistency and Underterminedness, by expressing, in any many-valued logic, that a given formula has a classical truth value (0 or 1). In particular, in the rst part of the paper we introduce the logics LPe and Ke3 , which extends LP and K3 with normality operators, and we establish a (...)
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  12.  68
    Formal Ontologies of Space and Time. IFOMIS Report.Thomas Bittner & Barry Smith - 2003 - In IFOMIS Report.
    We propose an ontological theory that is powerful enough to describe both complex spatio-temporal processes (occurrents) and the enduring entities (continuants) that participate in such processes. For this purpose we distinguish between meta-ontology and token ontologies. Token ontologies fall into two major categories: ontologies of type SPAN and ontologies of type SNAP. These represent two complementary perspectives on reality and result in distinct though compatible systems of categories. The meta-ontological level then describes the relationships between the different token ontologies. In (...)
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  13.  89
    Life and Space Dimensionality: A Brief Review of Old and New Entangled Arguments.Francisco Caruso - 2016 - Journal of Astrobiology and Outreach 4 (2):152.
    A general sketch on how the problem of space dimensionality depends on anthropic arguments is presented. Several examples of how life has been used to constraint space dimensionality (and vice-versa) are reviewed. In particular, the influences of three-dimensionality in the solar system stability and the origin of life on Earth are discussed. New constraints on space dimensionality and on its invariance in very large spatial and temporal scales are also stressed.
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  14.  60
    Drawing on a Sculpted Space of Actions: Educating for Expertise While Avoiding a Cognitive Monster.Machiel Keestra - 2017 - Journal of Philosophy of Education 51 (3):620-639.
    Philosophers and scientists have across the ages been amazed about the fact that development and learning often lead to not just a merely incremental and gradual change in the learner but sometimes to a result that is strikingly different from the learner’s original situation: amazed, but at times also worried. Both philosophical and cognitive neuroscientific insights suggest that experts appear to perform ‘different’ tasks compared to beginners who behave in a similar way. These philosophical and empirical perspectives give some insight (...)
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  15. From Linear to Branching-Time Temporal Logics: Transfer of Semantics and Definability.Valentin Goranko & Alberto Zanardo - 2007 - Logic Journal of the IGPL 15 (1):53-76.
    This paper investigates logical aspects of combining linear orders as semantics for modal and temporal logics, with modalities for possible paths, resulting in a variety of branching time logics over classes of trees. Here we adopt a unified approach to the Priorean, Peircean and Ockhamist semantics for branching time logics, by considering them all as fragments of the latter, obtained as combinations, in various degrees, of languages and semantics for linear time with a modality for possible paths. (...)
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  16. Naturalism and the Space of Reasons in Mind and World.T. H. Ho - 2014 - International Journal of Philosophical Studies 22 (1):49-62.
    This paper aims to show that many criticisms of McDowell’s naturalism of second nature are based on what I call ‘the orthodox interpretation’ of McDowell’s naturalism. The orthodox interpretation is, however, a misinterpretation, which results from the fact that the phrase ‘the space of reasons’ is used equivocally by McDowell in Mind and World. Failing to distinguish two senses of ‘the space of reasons’, I argue that the orthodox interpretation renders McDowell’s naturalism inconsistent with McDowell’s Hegelian thesis that (...)
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  17.  36
    On Graph-Theoretic Fibring of Logics.A. Sernadas, C. Sernadas, J. Rasga & M. Coniglio - 2009 - Journal of Logic and Computation 19 (6):1321-1357.
    A graph-theoretic account of fibring of logics is developed, capitalizing on the interleaving characteristics of fibring at the linguistic, semantic and proof levels. Fibring of two signatures is seen as a multi-graph (m-graph) where the nodes and the m-edges include the sorts and the constructors of the signatures at hand. Fibring of two models is a multi-graph (m-graph) where the nodes and the m-edges are the values and the operations in the models, respectively. Fibring of two deductive systems is (...)
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  18. Philosophy of Perception and the Phenomenology of Visual Space.Gary Hatfield - 2011 - Philosophic Exchange 42 (1):31-66.
    In the philosophy of perception, direct realism has come into vogue. Philosophical authors assert and assume that what their readers want, and what anyone should want, is some form of direct realism. There are disagreements over precisely what form this direct realism should take. The majority of positions in favor now offer a direct realism in which objects and their material or physical properties constitute the contents of perception, either because we have an immediate or intuitive acquaintance with those objects (...)
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  19. Evil as Privation and Leibniz's Rejection of Empty Space.Stephen Puryear - 2016 - In Wenchao Li (ed.), "Für Unser Glück oder das Glück Anderer": Vortrage des X. Internationalen Leibniz-Kongresses, vol. 3. Georg Olms. pp. 481-489.
    I argue that Leibniz's treatment of void or empty space in the appendix to his fourth letter to Clarke conflicts with the way he elsewhere treats (metaphysical) evil, insofar as he allows that God has created a world with the one kind of privation (evil), while insisting that God would not have created a world with the other kind of privation (void). I consider three respects in which the moral case might be thought to differ relevantly from the physical (...)
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  20. The Concept of Space and the Metaphysics of Extended Substance in Descartes.Joseph Zepeda - 2014 - History of Philosophy Quarterly 31 (1):21-40.
    This essay offers an interpretation of Descartes’ treatment of the concepts of place and space in the Principles of Philosophy. On the basis of that interpretation, I argue that his understanding and application of the concept of space supports a pluralist interpretation of Descartes on extended substance. I survey the Scholastic evolution of issues in the Aristotelian theory of place and clarify elements of Descartes’ appropriation and transformation thereof: the relationship between internal and external place, the precise content (...)
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  21. Newton’s Neo-Platonic Ontology of Space.Edward Slowik - 2013 - Foundations of Science 18 (3):419-448.
    This paper investigates Newton’s ontology of space in order to determine its commitment, if any, to both Cambridge neo-Platonism, which posits an incorporeal basis for space, and substantivalism, which regards space as a form of substance or entity. A non-substantivalist interpretation of Newton’s theory has been famously championed by Howard Stein and Robert DiSalle, among others, while both Stein and the early work of J. E. McGuire have downplayed the influence of Cambridge neo-Platonism on various aspects of (...)
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  22.  97
    De Gravitatione Reconsidered: The Changing Significance of Empirical Evidence for Newton's Metaphysics of Space.Zvi Biener - unknown
    I argue that Isaac Newton's De Gravitatione should not be considered an authoritative expression of his thought about the metaphysics of space and its relation to physical inquiry. I establish the following narrative: In De Gravitatione (circa 1668–84), Newton claimed he had direct experimental evidence for the work's central thesis: that space had "its own manner of existing" as an affection or emanative effect. In the 1710s, however, through the prodding of Roger Cotes and G. W. Leibniz, he (...)
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  23. Newton, the Parts of Space, and the Holism of Spatial Ontology.Edward Slowik - 2011 - Hopos: The Journal of the International Society for the History of Philosophy of Science 1 (2):249-272.
    This article investigates the problem of the identity of the parts of space in Newton’s natural philosophy, as well as the holistic or structuralist nature of Newton’s ontology of space. Additionally, this article relates the lessons reached in this historical and philosophical investigation to analogous debates in contemporary space-time ontology. While previous contributions, by Nerlich, Huggett, and others, have proven to be informative in evaluating Newton’s claims, it will be argued that the underlying goals of Newton’s views (...)
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  24.  57
    Semantical Analysis of Weak Kleene Logics.Roberto Ciuni & Massimiliano Carrara - 2019 - Journal of Applied Non-Classical Logics 29 (1):1-36.
    This paper presents a semantical analysis of the Weak Kleene Logics Kw3 and PWK from the tradition of Bochvar and Halldén. These are three-valued logics in which a formula takes the third value if at least one of its components does. The paper establishes two main results: a characterisation result for the relation of logical con- sequence in PWK – that is, we individuate necessary and sufficient conditions for a set.
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  25. The Production of Space.Henri Lefebvre - 1992 - Wiley-Blackwell.
    Henri Lefebvre has considerable claims to be the greatest living philosopher. His work spans some sixty years and includes original work on a diverse range of subjects, from dialectical materialism to architecture, urbanism and the experience of everyday life. The Production of Space is his major philosophical work and its translation has been long awaited by scholars in many different fields. The book is a search for a reconciliation between mental space and real space. In the course (...)
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  26.  24
    From Einstein's Physics to Neurophilosophy: On the Notions of Space, Time and Field as Cognoscitive Conditions Under Kantian-Husserlian Approach in the General Relativity Theory.Ruth Castillo - forthcoming - Bitácora-E.
    The current technoscientific progress has led to a sectorization in the philosophy of science. Today the philosophy of science isn't is informal interested in studying old problems about the general characteristics of scientific practice. The interest of the philosopher of science is the study of concepts, problems and riddles of particular disciplines. Then, within this progress of philosophy of science, neuroscientific research stands out, because it invades issues traditionally addressed by the humanities, such as the nature of consciousness, action, knowledge, (...)
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  27. Hobbes and the Phantasm of Space.Edward Slowik - 2014 - Hobbes Studies 27 (1):61-79.
    This essay examines Hobbes’ philosophy of space, with emphasis placed on the variety of interpretations that his concept of imaginary space has elicited from commentators. The process by which the idea of space is acquired from experience, as well as the role of nominalism, will be offered as important factors in tracking down the elusive content of Hobbes’ conception of imaginary space.
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  28. On Kant's First Insight Into the Problem of Space Dimensionality and its Physical Foundations.F. Caruso & R. Moreira Xavier - 2015 - Kant-Studien 106 (4):547–560.
    In this article it is shown that a careful analysis of Kant 's Gedanken von der wahren Schätzung der lebendigen Kräfte und Beurtheilung der Beweise leads to a conclusion that does not match the usually accepted interpretation of Kant 's reasoning in 1747, according to which the young Kant supposedly establishes a relationship between the tridimensionality of space and Newton's law of gravitation. Indeed, it is argued that this text does not yield a satisfactory explanation of space dimensionality, (...)
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  29. Space and the Extension of Power in Leibniz’ Monadic Metaphysics.Edward Slowik - 2015 - History of Philosophy Quarterly 32 (3):253-270.
    This paper attempts to resolve the puzzle associated with the non-spatiality of monads by investigating the possibility that Leibniz employed a version of the extension of power doctrine, a Scholastic concept that explains the relationship between immaterial and material beings. As will be demonstrated, not only does the extension of power doctrine lead to a better understanding of Leibniz’ reasons for claiming that monads are non-spatial, but it also supports those interpretations of Leibniz’ metaphysics that accepts the real extension of (...)
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  30. Kant on the Transcendental Deduction of Space and Time: An Essay on the Philosophical Resources of the Transcendental Aesthetic.Melissa McBay Merritt - 2010 - Kantian Review 14 (2):1-37.
    I take up Kant's remarks about a " transcendental deduction" of the "concepts of space and time". I argue for the need to make a clearer assessment of the philosophical resources of the Aesthetic in order to account for this transcendental deduction. Special attention needs to be given to the fact that the central task of the Aesthetic is simply the "exposition" of these concepts. The Metaphysical Exposition reflects upon facts about our usage to reveal our commitment to the (...)
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  31. The Creation of Space: Narrative Strategies, Group Agency, and Skill in Lloyd Jones’s The Book of Fame.John Sutton & Evelyn Tribble - 2014 - In Chris Danta & Helen Groth (eds.), Mindful Aesthetics. Bloomsbury/ Continuum. pp. 141-160.
    Lloyd Jones’s *The Book of Fame*, a novel about the stunningly successful 1905 British tour of the New Zealand rugby team, represents both skilled group action and the difficulty of capturing it in words. The novel’s form is as fluid and deceptive, as adaptable and integrated, as the sweetly shaped play of the team that became known during this tour for the first time as the All Blacks. It treats sport on its own terms as a rich world, a set (...)
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  32. The Structure of Gunk: Adventures in the Ontology of Space.Jeffrey Sanford Russell - 2008 - In Dean Zimmerman (ed.), Oxford Studies in Metaphysics: Volume 4. Oxford University Press. pp. 248.
    Could space consist entirely of extended regions, without any regions shaped like points, lines, or surfaces? Peter Forrest and Frank Arntzenius have independently raised a paradox of size for space like this, drawing on a construction of Cantor’s. I present a new version of this argument and explore possible lines of response.
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  33.  27
    Defining LFIs and LFUs in Extensions of Infectious Logics.Szmuc Damian Enrique - 2016 - Journal of Applied Non-Classical Logics 26 (4):286-314.
    The aim of this paper is to explore the peculiar case of infectious logics, a group of systems obtained generalizing the semantic behavior characteristic of the -fragment of the logics of nonsense, such as the ones due to Bochvar and Halldén, among others. Here, we extend these logics with classical negations, and we furthermore show that some of these extended systems can be properly regarded as logics of formal inconsistency and logics of formal undeterminedness.
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  34. The Geometry of Visual Space and the Nature of Visual Experience.Farid Masrour - 2015 - Philosophical Studies 172 (7):1813-1832.
    Some recently popular accounts of perception account for the phenomenal character of perceptual experience in terms of the qualities of objects. My concern in this paper is with naturalistic versions of such a phenomenal externalist view. Focusing on visual spatial perception, I argue that naturalistic phenomenal externalism conflicts with a number of scientific facts about the geometrical characteristics of visual spatial experience.
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  35. Two Adaptive Logics of Norm-Propositions.Mathieu Beirlaen & Christian Straßer - 2013 - Journal of Applied Logic 11 (2):147-168.
    We present two defeasible logics of norm-propositions (statements about norms) that (i) consistently allow for the possibility of normative gaps and normative conflicts, and (ii) map each premise set to a sufficiently rich consequence set. In order to meet (i), we define the logic LNP, a conflict- and gap-tolerant logic of norm-propositions capable of formalizing both normative conflicts and normative gaps within the object language. Next, we strengthen LNP within the adaptive logic framework for non-monotonic reasoning in order to (...)
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  36. Wittgenstein and Stage-Setting: Being Brought Into the Space of Reasons.David Simpson - 2013 - Educational Philosophy and Theory 45 (6):1-16.
    Wittgenstein constantly invokes teaching, training and learning in his later work. It is therefore interesting to consider what role these notions play for him there. I argue that their use is central to Wittgenstein’s attempt to refute cognitivist assumptions, and to show how normative practices can be understood without the threat of circularity, grounded not in a kind of seeing, but in doing, and the natural reactions of an organism. This can generate a worry that Wittgenstein’s position is quietist and (...)
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  37. The Intelligent Use of Space.David Kirsh - 1995 - Artificial Intelligence 73 (1--2):31-68.
    The objective of this essay is to provide the beginning of a principled classification of some of the ways space is intelligently used. Studies of planning have typically focused on the temporal ordering of action, leaving as unaddressed questions of where to lay down instruments, ingredients, work-in-progress, and the like. But, in having a body, we are spatially located creatures: we must always be facing some direction, have only certain objects in view, be within reach of certain others. How (...)
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  38. The Constitution of Space and Time in the Aufbau Viewed From a Kantian Perspective.Yusuke Kaneko - 2014 - Journal of the Philosophy of Science Society, Japan 47 (1):19-36.
    The foremost aim of this paper is to realize the fourth part of the Aufbau. This part, which provides an actual phenomenalistic constitution system, is interpretable from a Kantian perspective (§§1-4). But Carnap plotted to overcome Kant’s old style of philosophy as well. We review this aspect of his constitution, focusing on space (§§7-13) and time (§§5-6), especially.
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  39.  29
    The Abstract Space and the Alienation of Political Public Space in the Middle East.Farzad Zamani & Asma Mehan - 2019 - Archnet-IJAR: International Journal of Architectural Research 13 (3):483-497.
    Purpose – The purpose of this paper is to explain how abstract space of the State – universally and specifically within the context of Middle Eastern cities – aims to homogenise the city and eliminate any anomaly that threatens its power structure. Design/methodology/approach – Through a historical and discourse analysis of these policies and processes in the two case studies, this paper presents a contextualised reading of Lefebvre’s concept of abstract space and process of abstraction in relation to (...)
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  40. Our Fundamental Physical Space: An Essay on the Metaphysics of the Wave Function.Eddy Keming Chen - 2017 - Journal of Philosophy 114 (7):333-365.
    The mathematical structure of realist quantum theories has given rise to a debate about how our ordinary 3-dimensional space is related to the 3N-dimensional configuration space on which the wave function is defined. Which of the two spaces is our (more) fundamental physical space? I review the debate between 3N-Fundamentalists and 3D-Fundamentalists and evaluate it based on three criteria. I argue that when we consider which view leads to a deeper understanding of the physical world, especially given (...)
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  41. Philosophical Problems of Space-Time Theories.Gustavo E. Romero - 2012 - In Gravitation and Cosmology.
    I present a discussion of some open issues in the philosophy of space-time theories. Emphasis is put on the ontological nature of space and time, the relation between determinism and predictability, the origin of irreversible processes in an expanding Universe, and the compatibility of relativity and quantum mechanics. In particular, I argue for a Parmenidean view of time and change, I make clear the difference between ontological determinism and predictability, propose that the origin of the asymmetry observed in (...)
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  42. A Model of Wavefunction Collapse in Discrete Space-Time.Shan Gao - 2006 - International Journal of Theoretical Physics 45 (10):1965-1979.
    We give a new argument supporting a gravitational role in quantum collapse. It is demonstrated that the discreteness of space-time, which results from the proper combination of quantum theory and general relativity, may inevitably result in the dynamical collapse of thewave function. Moreover, the minimum size of discrete space-time yields a plausible collapse criterion consistent with experiments. By assuming that the source to collapse the wave function is the inherent random motion of particles described by the wave function, (...)
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  43. Does Visual Spatial Awareness Require the Visual Awareness of Space?John Schwenkler - 2012 - Mind and Language 27 (3):308-329.
    Many philosophers have held that it is not possible to experience a spatial object, property, or relation except against the background of an intact awareness of a space that is somehow ‘absolute’. This paper challenges that claim, by analyzing in detail the case of a brain-damaged subject whose visual experiences seem to have violated this condition: spatial objects and properties were present in his visual experience, but space itself was not. I go on to suggest that phenomenological argumentation (...)
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  44. The Aesthetics of Theory Selection and the Logics of Art.Ian O’Loughlin & Kate McCallum - 2018 - Philosophy of Science (2):325-343.
    Philosophers of science discuss whether theory selection depends on aesthetic judgments or criteria, and whether these putatively aesthetic features are genuinely extra-epistemic. As examples, judgments involving criteria such as simplicity and symmetry are often cited. However, other theory selection criteria, such as fecundity, coherence, internal consistency, and fertility, more closely match those criteria used in art contexts and by scholars working in aesthetics. Paying closer attention to the way these criteria are used in art contexts allows us to understand some (...)
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  45.  19
    Consideration of Symmetry in the Concept of Space Through the Notions of Equilibrium and Equivalence.Ruth Castillo - 2016 - Episteme NS: Revista Del Instituto de Filosofía de la Universidad Central de Venezuela 36 (1):61-70.
    The notion of space is one of the most discussed within classical physics concepts. The works of Copernicus and Galileo, as well as Gassendi´s ideas led to Newton to regard it as substance. This conception of space, allows the notion of symmetry is present in an indirect or implied, within the laws of physics, formed through the notions of equivalence and balance. The aim of this study is to identify the symmetry, through such notions, under the study of (...)
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  46. Reconsidering Kantian Absolute Space in the Metaphysical Foundations of Natural Science From a Huygensian Frame.Edward Slowik - 2017 - Journal of Early Modern Studies 6 (2):119-141.
    This essay explores Kant’s concept of absolute space in the Metaphysical Foundations from the perspective of the development of the relationist interpretation of bodily interactions in the center-of-mass reference frame, a strategy that Huygens had originally pioneered and which Mach also endorsed. In contrast to the interpretations of Kant that stress a non-relationist, Newton-inspired orientation in his critical period work, it will be argued that the content and function of Kant’s utilization of this reference frame strategy places him much (...)
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  47. A Likely Account of Necessity: Plato's Receptacle as a Physical and Metaphysical Foundation for Space.Barbara Sattler - 2012 - Journal of the History of Philosophy 50 (2):159-195.
    This paper aims to show that—and how—Plato’s notion of the receptacle in the Timaeus provides the conditions for developing a mathematical as well as a physical space without itself being space. In response to the debate whether Plato’s receptacle is a conception of space or of matter, I suggest employing criteria from topology and the theory of metric spaces as the most basic ones available. I show that the receptacle fulfils its main task–allowing the elements qua images (...)
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  48. Continuous Lattices and Whiteheadian Theory of Space.Thomas Mormann - 1998 - Logic and Logical Philosophy 6:35 - 54.
    In this paper a solution of Whitehead’s problem is presented: Starting with a purely mereological system of regions a topological space is constructed such that the class of regions is isomorphic to the Boolean lattice of regular open sets of that space. This construction may be considered as a generalized completion in analogy to the well-known Dedekind completion of the rational numbers yielding the real numbers . The argument of the paper relies on the theories of continuous lattices (...)
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  49.  75
    A Graph-Theoretic Account of Logics.A. Sernadas, C. Sernadas, J. Rasga & Marcelo E. Coniglio - 2009 - Journal of Logic and Computation 19 (6):1281-1320.
    A graph-theoretic account of logics is explored based on the general notion of m-graph (that is, a graph where each edge can have a finite sequence of nodes as source). Signatures, interpretation structures and deduction systems are seen as m-graphs. After defining a category freely generated by a m-graph, formulas and expressions in general can be seen as morphisms. Moreover, derivations involving rule instantiation are also morphisms. Soundness and completeness theorems are proved. As a consequence of the generality of (...)
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  50. Undying and Unborn and Unbound Base of Space and Light.Rudolph Bauer - 2012 - Transmission 1 (Awareness).
    This paper focuses on the base of awareness as space and light.
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