Search results for 'Continuum vs. Discrete' (try it on Scholar)

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  1. Amit Hagar (2014). Discrete or Continuous? The Quest for Fundamental Length in Modern Physics. Cambridge University Press.
    A book on the notion of fundamental length, covering issues in the philosophy of math, metaphysics, and the history and the philosophy of modern physics, from classical electrodynamics to current theories of quantum gravity. Published (2014) in Cambridge University Press.
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  2.  10
    Storrs McCall, Andrew Whitaker & Glyn George, Continuous Vs Discrete Processes: The Probabilistic Evolution of Single Trapped Ions.
    The evolution of a single trapped ion exhibiting intermittent fluorescence and dark periods may be described either as a continuous process, using differential rate equations, or discretely, as a Markov process. The latter models the atom as making instantaneous transitions from one energy eigenstate to another, and is open to the objection that superpositions of energy states will form which are not covered by the Markov process. The superposition objection is replied to, and two new mathematical elements, Markov vectors and (...)
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  3.  9
    Michel Le Moal & Pier Vincenzo Piazza (1999). Reconciling Discrete Psychological Typology with a Psychobiological Continuum. Behavioral and Brain Sciences 22 (3):529-530.
    Structure entails arrangements and interrelations of parts that organize the whole (i.e., personality). It involves stability of traits over time. Extraversion varies along a continuum towards introversion. Multiple behavioral and biological variables in several systems vary and are regulated homeostatically within the normal range. If there is a fixed point for an individual, what inhibits variation in the biological parameter?
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  4. Mélanie Havy & Sandra R. Waxman (2016). Naming Influences 9-Month-Olds’ Identification of Discrete Categories Along a Perceptual Continuum. Cognition 156:41-51.
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  5. H. L. Heinisch & G. Sines (1977). A Discrete-Continuum Hybrid Method for Dislocation-Point Defect Interactions. Philosophical Magazine 36 (3):733-740.
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  6. V. A. Kuzkin, A. M. Krivtsov, E. A. Podolskaya & M. L. Kachanov (2016). Lattice with Vacancies: Elastic Fields and Effective Properties in Frameworks of Discrete and Continuum Models. Philosophical Magazine 96 (15):1538-1555.
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  7.  2
    Stanley J. Weiss (1969). Attentional Processes Along a Composite Stimulus Continuum During Free-Operant Summation. Journal of Experimental Psychology 82 (1p1):22.
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  8.  8
    W. W. Breen, M. J. De Haemer & G. K. Poock (1969). Comparison of the Effect of Auditory Versus Visual Stimulation on Information Capacity of Discrete Motor Responses. Journal of Experimental Psychology 82 (2):395.
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  9.  2
    Harold L. Hawkins, Gerald B. Thomas & Kenneth B. Drury (1970). Perceptual Versus Response Bias in Discrete Choice Reaction Time. Journal of Experimental Psychology 84 (3):514.
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  10.  2
    W. Raney Ellis & John W. Donahoe (1973). Effects of Pre- and Postresponse Shock on Discrimination Performance Using a Discrete-Trials Procedure. Journal of Experimental Psychology 97 (2):267.
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  11.  1
    Theodore Parks, Carolyn Wall & Jarvis Bastian (1969). Intercategory and Intracategory Discrimination for One Visual Continuum: Contributions of Identification Training and of Individual Differences. Journal of Experimental Psychology 81 (2):241.
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  12. Amit Hagar, Thou Shalt Not Commute!
    For many among the scientifically informed public, and even among physicists, Heisenberg's uncertainty principle epitomizes quantum mechanics. Nevertheless, more than 86 years after its inception, there is no consensus over the interpretation, scope, and validity of this principle. The aim of this chapter is to offer one such interpretation, the traces of which may be found already in Heisenberg's letters to Pauli from 1926, and in Dirac's anticipation of Heisenberg's uncertainty relations from 1927, that stems form the hypothesis of finite (...)
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  13.  19
    David Shale (1982). Discrete Quantum Theory. Foundations of Physics 12 (7):661-687.
    This paper is concerned with tracing the implications of two ideas as they affect quantum theory. One, which descends from Leibniz and Mach, is that there is no space-time continuum, but that which are involved are spacial and temporal relations involving the distant matter of the universe. The other is that our universe is finite. The picture of the world to which we are led is that of an enormous space-time Feynman diagram whose vertices are events. A consequence of (...)
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  14.  8
    Louis M. Herman & David R. Bailey (1970). Comparative Effects of Retroactive and Proactive Interference in Motor Short-Term Memory. Journal of Experimental Psychology 86 (3):407.
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  15.  2
    Ian Begg (1974). Estimation of Word Frequency in Continuous and Discrete Tasks. Journal of Experimental Psychology 102 (6):1046.
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  16.  11
    Ann J. Cahill (2016). Unjust Sex Vs. Rape. Hypatia 31 (4):746-761.
    This article returns to a philosophical conundrum that has troubled feminist theory since the topic of sexual violence has been taken seriously, what I call the problem of the “heteronormative sexual continuum”: how sexual assault and hegemonic heterosex are conceptually and politically related. I continue my response to the work of Nicola Gavey, who has argued for the existence of a “gray area” of sexual interactions that are ethically questionable without rising to the category of sexual assault, but whose (...)
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  17.  20
    C. J. Nix & J. B. Paris (2006). A Continuum of Inductive Methods Arising From a Generalized Principle of Instantial Relevance. Journal of Philosophical Logic 35 (1):83-115.
    In this paper we consider a natural generalization of the Principle of Instantial Relevance and give a complete characterization of the probabilistic belief functions satisfying this principle as a family of discrete probability functions parameterized by a single real δ ∊ [0, 1).
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  18.  13
    R. Arshansky, L. P. Horwitz & Y. Lavie (1983). Particles Vs. Events: The Concatenated Structure of World Lines in Relativistic Quantum Mechanics. [REVIEW] Foundations of Physics 13 (12):1167-1194.
    The dynamical equations of relativistic quantum mechanics prescribe the motion of wave packets for sets of events which trace out the world lines of the interacting particles. Electromagnetic theory suggests thatparticle world line densities be constructed from concatenation of event wave packets. These sequences are realized in terms of conserved probability currents. We show that these conserved currents provide a consistent particle and antiparticle interpretation for the asymptotic states in scattering processes. The relation between current conservation and unitarity is used (...)
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  19.  21
    Massimo Pauri (2011). Epistemic Primacy Vs. Ontological Elusiveness of Spatial Extension: Is There an Evolutionary Role for the Quantum? Foundations of Physics 41 (11):1677-1702.
    A critical re-examination of the history of the concepts of space (including spacetime of general relativity and relativistic quantum field theory) reveals a basic ontological elusiveness of spatial extension, while, at the same time, highlighting the fact that its epistemic primacy seems to be unavoidably imposed on us (as stated by A.Einstein “giving up the extensional continuum … is like to breathe in airless space”). On the other hand, Planck’s discovery of the atomization of action leads to the fundamental (...)
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  20. John Bell, Infinitesimals and the Continuum.
    The opposed concepts of continuity and discreteness have figured prominently in the development of mathematics, and have also commanded the attention of philosophers. Continuous entities may be characterized by the fact that they can be divided indefinitely without altering their essential nature. So, for instance, the water in a bucket may be indefinitely halved and yet remain water. (For the purposes of illustration I ignore the atomic nature of matter which has been established by modern physics.) Discrete entities, on (...)
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  21.  17
    Brian Rotman (1996). Counting Information: A Note on Physicalized Numbers. [REVIEW] Minds and Machines 6 (2):229-238.
    Existing work on the ultimate limits of computation has urged that the apparatus of real numbers should be eschewed as an investigative tool and replaced by discrete mathematics. The present paper argues for a radical extension of this viewpoint: not only the continuum but all infinitary constructs including the rationals and the potential infinite sequence of whole numbers need to be eliminated if a self-consistent investigative framework is to be achieved.
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  22.  9
    Constantin Antonopoulos (2010). Static Vs. Dynamic Paradoxes. Epoché: A Journal for the History of Philosophy 14 (2):241-263.
    There are two antithetical classes of Paradoxes, The Runner and the Stadium, impregnated with infinite divisibility, which show that motion conflicts with the world, and which I call Static. And the Arrow, impregnated with nothing, which shows that motion conflicts with itself, and which I call Dynamic. The Arrow is stationary, because it cannot move at a point; or move, and be at more points than one at the same time, so being where it is not. Despite their contrast, however, (...)
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  23.  3
    Jean-Philippe Dalbera & Marie-José Dalbera-Stefanaggi (2004). Grands corpus dialectaux ou la phonologie indiscrète. Corpus 3.
    L’article se propose, à partir de l’expérience de la construction et de l’exploitation des bases de données dialectales de la BDLC (corse) et du THESOC (occitan), de cerner ce qu’un grand corpus est susceptible d’apporter à la phonologie. La réponse, appuyée sur quelques cas d’espèces, fait intervenir trois niveaux : celui de l’établissement des faits à soumettre à l’analyse, celui de la validation des hypothèses émises, celui de la valeur heuristique des données prises en compte. Les faits aléatoirement rassemblés dans (...)
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  24.  2
    Constantin Antonopoulos (2010). Static Vs. Dynamic Paradoxes: In the End There Can Be Only One. Epoché: A Journal for the History of Philosophy 14 (2):241-263.
    There are two antithetical classes of Paradoxes, The Runner and the Stadium, impregnated with infinite divisibility, which show that motion conflicts with the world, and which I call Static. And the Arrow, impregnated with nothing, which shows that motion conflicts with itself, and which I call Dynamic. The Arrow is stationary, because it cannot move at a point; or move, and be at more points than one at the same time, so being where it is not. Despite their contrast, however, (...)
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  25.  8
    Lídia Figueiredo (2008). O Abismo da Liberdade: Arendt vs. Kierkegaard e Sartre. Revista Portuguesa de Filosofia 64 (2/4):1127 - 1140.
    A filosofia da existência, que aqui tacitamente se considera iniciada por Søren Kierkegaard, constitui o solo, depois trabalhado por Heidegger, em que se haveriam de desenvolver as obras de Hannah Arendt e Jean-Paul Sartre. Os percursos do pensamento de Kierkegaard, Sartre e Arendt assumiram, no entanto, uma configuração claramente distinta. Os três filósofos definem o ser humano como existência e como liberdade. Em Kierkegaard e Sartre, a existência é apreendida como absurdo e a liberdade ensombrada pela angústia perante o abismo (...)
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  26.  6
    Ira J. Roseman (2013). Appraisal in the Emotion System: Coherence in Strategies for Coping. Emotion Review 5 (2):141-149.
    Emotions can be understood as a coherent, integrated system of general-purpose coping strategies, guided by appraisal, for responding to situations of crisis and opportunity (when specific-purpose motivational systems may be less effective). This perspective offers functional explanations for the presence of particular emotions in the emotion repertoire, and their elicitation by particular appraisal combinations. Implications of the Emotion System model for debated issues, such as the dimensional vs. discrete nature of appraisals and emotions, are also discussed.
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  27. Aldo Frigerio, Alessandro Giordani & Luca Mari (2013). On Representing Information: A Characterization of the Analog/Digital Distinction. Dialectica 67 (4):455-483.
    The common account of the analog vs digital distinction is based on features of physical systems, being related to the usage of continuous vs discrete supports respectively. It is proposed here to alternatively characterize the concepts of analog and digital as related to coding systems, of which a formal definition is given, by suggesting that the distinction refers to the strategy adopted to define the coding function: extensional in digital systems, isomorphic intensional in analog systems. This thesis is supported (...)
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  28.  16
    Don Locke (1979). Cognitive Stages or Developmental Phases? A Critique of Kohlberg's Stage‐Structural Theory of Moral Reasoning. Journal of Moral Education 8 (3):168-181.
    Abstract After some preliminary doubts about Kohlberg's method of assessing moral reasoning, his ?stage?structural? theory is criticized under six heads. (1) The claim that the stages constitute structural wholes, representing unified and differentiated patterns of thought: it is argued that the available evidence, and Kohlberg's own methodology, unambiguously implies a developmental continuum, not discrete stage structures. (2) Invariance, which, after counter?evidence led to a revision in the theory, has yet to be demonstrated. (3) Cultural Universality: it is argued (...)
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  29.  54
    Louis N. Sandowsky (2005). From Space and Time to the Spacing of Temporal Articulation: A Phenomenological Re-Run of Achilles and the Tortoise. Existentia (1-2).
    In view of the primacy assigned to the 'present' in traditional metaphysics, in terms of the ways in which questions about existence are expressed, the following discussion takes the question of the temporalizing of the present as its theme. This involves unravelling the historical traces of the thought of the present as a finite, closed, objective point of a successive continuum of discrete moments (a real oscillation between the now and the not-now) by returning to the phenomenological sense (...)
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  30.  68
    Graciela De Pierris (2012). Hume on Space, Geometry, and Diagrammatic Reasoning. Synthese 186 (1):169-189.
    Hume’s discussion of space, time, and mathematics at T 1.2 appeared to many earlier commentators as one of the weakest parts of his philosophy. From the point of view of pure mathematics, for example, Hume’s assumptions about the infinite may appear as crude misunderstandings of the continuum and infinite divisibility. I shall argue, on the contrary, that Hume’s views on this topic are deeply connected with his radically empiricist reliance on phenomenologically given sensory images. He insightfully shows that, working (...)
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  31.  6
    Philipp Bagus & David Howden (2012). The Continuing Continuum Problem of Deposits and Loans. Journal of Business Ethics 106 (3):295-300.
    Barnett and Block (J Bus Ethics 18(2):179–194, 2011 ) argue that one cannot distinguish between deposits and loans due to the continuum problem of maturities and because future goods do not exist—both essential characteristics that distinguish deposit from loan contracts. In a similar way but leading to opposite conclusions (Cachanosky, forthcoming) maintains that both maturity mismatching and fractional reserve banking are ethically justified as these contracts are equivalent. We argue herein that the economic and legal differences between genuine deposit (...)
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  32. Eric Dietrich & A. Markman (2003). Discrete Thoughts: Why Cognition Must Use Discrete Representations. Mind and Language 18 (1):95-119.
    Advocates of dynamic systems have suggested that higher mental processes are based on continuous representations. In order to evaluate this claim, we first define the concept of representation, and rigorously distinguish between discrete representations and continuous representations. We also explore two important bases of representational content. Then, we present seven arguments that discrete representations are necessary for any system that must discriminate between two or more states. It follows that higher mental processes require discrete representations. We also (...)
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  33.  40
    Daniele Oriti (2014). Disappearance and Emergence of Space and Time in Quantum Gravity. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 46 (2):186-199.
    We discuss the hints for the disappearance of continuum space and time at microscopic scale. These include arguments for a discrete nature of them or for a fundamental non-locality, in a quantum theory of gravity. We discuss how these ideas are realized in specific quantum gravity approaches. Turning then the problem around, we consider the emergence of continuum space and time from the collective behaviour of discrete, pre-geometric atoms of quantum space, and for understanding spacetime as (...)
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  34.  58
    Thomas Li-Ping Tang & Yuh-Jia Chen (2008). Intelligence Vs. Wisdom: The Love of Money, Machiavellianism, and Unethical Behavior Across College Major and Gender. Journal of Business Ethics 82 (1):1-26.
    This research investigates the efficacy of business ethics intervention, tests a theoretical model that the love of money is directly or indirectly related to propensity to engage in unethical behavior (PUB), and treats college major (business vs. psychology) and gender (male vs. female) as moderators in multi-group analyses. Results suggested that business students who received business ethics intervention significantly changed their conceptions of unethical behavior and reduced their propensity to engage in theft; while psychology students without intervention had no such (...)
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  35.  43
    Joel David Hamkins (2015). Is the Dream Solution of the Continuum Hypothesis Attainable? Notre Dame Journal of Formal Logic 56 (1):135-145.
    The dream solution of the continuum hypothesis would be a solution by which we settle the continuum hypothesis on the basis of a newly discovered fundamental principle of set theory, a missing axiom, widely regarded as true. Such a dream solution would indeed be a solution, since we would all accept the new axiom along with its consequences. In this article, however, I argue that such a dream solution to $\mathrm {CH}$ is unattainable.
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  36.  9
    Andrew Ter Ern Loke (2015). On Finitism and the Beginning of the Universe: A Reply to Stephen Puryear. Australasian Journal of Philosophy 94 (3):591-595.
    ABSTRACTStephen Puryear argues that William Lane Craig's view, that time as duration is logically prior to the potentially infinite divisions that we make of it, involves the idea that time is prior to any parts we conceive within it. He objects that PWT entails the Priority of the Whole with respect to Events, and that it subverts the argument, used by proponents of the Kalam Cosmological Argument such as Craig, against an eternal past based on the impossibility of traversing an (...)
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  37. Anne Newstead (2001). Aristotle and Modern Mathematical Theories of the Continuum. In Demetra Sfendoni-Mentzou & James Brown (eds.), Aristotle and Contemporary Philosophy of Science. Peter Lang
    This paper is on Aristotle's conception of the continuum. It is argued that although Aristotle did not have the modern conception of real numbers, his account of the continuum does mirror the topology of the real number continuum in modern mathematics especially as seen in the work of Georg Cantor. Some differences are noted, particularly as regards Aristotle's conception of number and the modern conception of real numbers. The issue of whether Aristotle had the notion of open (...)
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  38.  68
    Robert W. Batterman (2006). Hydrodynamics Versus Molecular Dynamics: Intertheory Relations in Condensed Matter Physics. Philosophy of Science 73 (5):888-904.
    This paper considers the relationship between continuum hydrodynamics and discrete molecular dynamics in the context of explaining the behavior of breaking droplets. It is argued that the idealization of a fluid as a continuum is actually essential for a full explanation of the drop breaking phenomenon and that, therefore, the less "fundamental," emergent hydrodynamical theory plays an ineliminable role in our understanding.
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  39. Peter G. Jones (2014). The Continuum East and West. Philosophy Pathways (185).
    We often speak of 'Eastern' and 'Western' philosophy, yet it is not always easy to distinguish the key factors that justify this distinction. This essay explores the very different conceptions of the continuum that underlie these two traditions of thought and knowledge. The views of Hermann Weyl are given and it is proposed that they are correct. Attention is drawn to the mutually-exclusive visions of the continuum that separate the philosophies of East and West, and that give us (...)
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  40. Shan Gao (2006). A Model of Wavefunction Collapse in Discrete Space-Time. 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, we (...)
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  41.  39
    Eduardo Castro (2013). Defending the Indispensability Argument: Atoms, Infinity and the Continuum. Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 44 (1):41-61.
    This paper defends the Quine-Putnam mathematical indispensability argument against two objections raised by Penelope Maddy. The objections concern scientific practices regarding the development of the atomic theory and the role of applied mathematics in the continuum and infinity. I present two alternative accounts by Stephen Brush and Alan Chalmers on the atomic theory. I argue that these two theories are consistent with Quine’s theory of scientific confirmation. I advance some novel versions of the indispensability argument. I argue that these (...)
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  42.  84
    Graham Harman (2011). Meillassoux's Virtual Future. Continent 1 (2):78-91.
    continent. 1.2 (2011): 78-91. This article consists of three parts. First, I will review the major themes of Quentin Meillassoux’s After Finitude . Since some of my readers will have read this book and others not, I will try to strike a balance between clear summary and fresh critique. Second, I discuss an unpublished book by Meillassoux unfamiliar to all readers of this article, except those scant few that may have gone digging in the microfilm archives of the École normale (...)
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  43.  59
    Vojtěch Kolman (2010). Continuum, Name and Paradox. Synthese 175 (3):351 - 367.
    The article deals with Cantor's argument for the non-denumerability of reals somewhat in the spirit of Lakatos' logic of mathematical discovery. At the outset Cantor's proof is compared with some other famous proofs such as Dedekind's recursion theorem, showing that rather than usual proofs they are resolutions to do things differently. Based on this I argue that there are "ontologically" safer ways of developing the diagonal argument into a full-fledged theory of continuum, concluding eventually that famous semantic paradoxes based (...)
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  44.  31
    Judith A. Easton, Lucas D. Schipper & Todd K. Shackelford (2006). Why the Adaptationist Perspective Must Be Considered: The Example of Morbid Jealousy. Behavioral and Brain Sciences 29 (4):411-412.
    We describe delusional disorder–jealous type (“morbid jealousy”) with the adaptationist perspective used by Darwinian psychiatrists and evolutionary psychologists to explain the relatively common existence and continued prevalence of mental disorders. We then apply the “harmful dysfunction” analysis to morbid jealousy, including a discussion of this disorder as (1) an end on a continuum of normal jealousy or (2) a discrete entity. (Published Online November 9 2006).
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  45.  24
    Peter Roeper (2006). The Aristotelian Continuum. A Formal Characterization. Notre Dame Journal of Formal Logic 47 (2):211-232.
    While the classical account of the linear continuum takes it to be a totality of points, which are its ultimate parts, Aristotle conceives of it as continuous and infinitely divisible, without ultimate parts. A formal account of this conception can be given employing a theory of quantification for nonatomic domains and a theory of region-based topology.
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  46.  8
    Rik Hine (2010). Attention as Experience: Through Thick Thin. Journal of Consciousness Studies 17 (9-10):9-10.
    Is our experience of the world 'rich' or 'thin'? In other words, are we aware of unattended sensory stimuli, or are the contents of our consciousness constrained by what we attend to? A recent, ingenious, attempt to address this issue offers us a seemingly unavailable, 'moderate' option; our experience is somewhere between the two. But before we make our minds up about this conclusion, we should see that it resulted from conflating two ways of construing the relevant concepts. I claim (...)
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  47.  53
    E. Di Grezia & S. Esposito (2008). Majorana and the Quasi-Stationary States in Nuclear Physics. Foundations of Physics 38 (3):228-240.
    A complete theoretical model describing artificial disintegration of nuclei by bombardment with α-particles, developed by Majorana as early as 1930, is discussed in detail jointly with the basic experimental evidences that motivated it. By following the quantum dynamics of a state resulting from the superposition of a discrete state with a continuum one, whose interaction is described by a given potential term, Majorana obtained (among the other predictions) the explicit expression for the integrated cross section of the nuclear (...)
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  48.  45
    R. N. Sen (2008). Physics and the Measurement of Continuous Variables. Foundations of Physics 38 (4):301-316.
    This paper addresses the doubts voiced by Wigner about the physical relevance of the concept of geometrical points by exploiting some facts known to all but honored by none: Almost all real numbers are transcendental; the explicit representation of any one will require an infinite amount of physical resources. An instrument devised to measure a continuous real variable will need a continuum of internal states to achieve perfect resolution. Consequently, a laboratory instrument for measuring a continuous variable in a (...)
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  49. Jean Paul van Bendegem (1995). In Defence of Discrete Space and Time. Logique Et Analyse 38 (150-1):127-150.
    In this paper several arguments are discussed and evaluated concerning the possibility of discrete space and time.
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  50.  18
    Dennis Florig (2001). Evolution of the Asia-Pacific Region: Seven Scenarios. World Futures 57 (2):103-152.
    Forecasting is fraught with difficulty, but the dynamic Asia?Pacific region is unlikely to remain static in its present configuration. This paper offers 7 scenarios for the future of integration of the Asia?Pacific that take into account economic, strategic, and cultural dimensions of change, and the kinds of events that could trigger regional reconfiguration. The scenarios are aligned along a continuum from low to high tension: (1) a formal, multilateral security regime, (2) a concert of Asia, (3) the status quo (...)
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