Results for 'differential equations'

166 found
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  1. Solving Ordinary Differential Equations by Working with Infinitesimals Numerically on the Infinity Computer.Yaroslav Sergeyev - 2013 - Applied Mathematics and Computation 219 (22):10668–10681.
    There exists a huge number of numerical methods that iteratively construct approximations to the solution y(x) of an ordinary differential equation (ODE) y′(x) = f(x,y) starting from an initial value y_0=y(x_0) and using a finite approximation step h that influences the accuracy of the obtained approximation. In this paper, a new framework for solving ODEs is presented for a new kind of a computer – the Infinity Computer (it has been patented and its working prototype exists). The new computer (...)
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  2. Global and Local.James Franklin - 2014 - Mathematical Intelligencer 36 (4).
    The global/local contrast is ubiquitous in mathematics. This paper explains it with straightforward examples. It is possible to build a circular staircase that is rising at any point (locally) but impossible to build one that rises at all points and comes back to where it started (a global restriction). Differential equations describe the local structure of a process; their solution describes the global structure that results. The interplay between global and local structure is one of the great themes (...)
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  3.  52
    Thick Presentism and Newtonian Mechanics.Ihor Lubashevsky - 2016 - Http://Arxiv.Org.
    In the present paper I argue that the formalism of Newtonian mechanics stems directly from the general principle to be called the principle of microlevel reducibility which physical systems obey in the realm of classical physics. This principle assumes, first, that all the properties of physical systems must be determined by their states at the current moment of time, in a slogan form it is ``only the present matters to physics.'' Second, it postulates that any physical system is nothing but (...)
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  4. On the Incompatibility of Dynamical Biological Mechanisms and Causal Graphs.Marcel Weber - 2016 - Philosophy of Science 83 (5):959-971.
    I examine to what extent accounts of mechanisms based on formal interventionist theories of causality can adequately represent biological mechanisms with complex dynamics. Using a differential equation model for a circadian clock mechanism as an example, I first show that there exists an iterative solution that can be interpreted as a structural causal model. Thus, in principle it is possible to integrate causal difference-making information with dynamical information. However, the differential equation model itself lacks the right modularity properties (...)
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  5. Einstein's Gravitation is Einstein-Grossmann's Equations.Alfonso Leon Guillen Gomez - 2015 - Journal of Advances in Physics 11 (3):3099-3110.
    While the philosophers of science discuss the General Relativity, the mathematical physicists do not question it. Therefore, there is a conflict. From the theoretical point view “the question of precisely what Einstein discovered remains unanswered, for we have no consensus over the exact nature of the theory 's foundations. Is this the theory that extends the relativity of motion from inertial motion to accelerated motion, as Einstein contended? Or is it just a theory that treats gravitation geometrically in the spacetime (...)
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  6.  5
    Colombeau Solutions to Einstein Field Equations.Gravitational Singularities.Jaykov Foukzon - manuscript
    In contemporary mathematics, a Colombeau algebra of Colombeau generalized functions is an algebra of a certain kind containing the space of Schwartz distributions. While in classical distribution theory a general multiplication of distributions is not possible, Colombeau algebras provide a rigorous framework for this. Remark 1.1.1.Such a multiplication of distributions has been a long time mistakenly believed to be impossible because of Schwartz’ impossibility result, which basically states that there cannot be a differential algebra containing the space of distributions (...)
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  7. Beyond Desartes and Newton: Recovering Life and Humanity.Stuart A. Kauffman & Arran Gare - 2015 - Progress in Biophysics and Molecular Biology 119 (3):219-244.
    Attempts to ‘naturalize’ phenomenology challenge both traditional phenomenology and traditional approaches to cognitive science. They challenge Edmund Husserl’s rejection of naturalism and his attempt to establish phenomenology as a foundational transcendental discipline, and they challenge efforts to explain cognition through mainstream science. While appearing to be a retreat from the bold claims made for phenomenology, it is really its triumph. Naturalized phenomenology is spearheading a successful challenge to the heritage of Cartesian dualism. This converges with the reaction against Cartesian thought (...)
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  8.  82
    Laws of Thought and Laws of Logic After Kant.Lydia Patton - 2018 - In Sandra Lapointe (ed.), Logic from Kant to Russell. New York: Routledge. pp. 123-137.
    George Boole emerged from the British tradition of the “New Analytic”, known for the view that the laws of logic are laws of thought. Logicians in the New Analytic tradition were influenced by the work of Immanuel Kant, and by the German logicians Wilhelm Traugott Krug and Wilhelm Esser, among others. In his 1854 work An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities, Boole argues that the laws of thought acquire (...)
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  9. Discrete and Continuous: A Fundamental Dichotomy in Mathematics.James Franklin - 2017 - Journal of Humanistic Mathematics 7 (2):355-378.
    The distinction between the discrete and the continuous lies at the heart of mathematics. Discrete mathematics (arithmetic, algebra, combinatorics, graph theory, cryptography, logic) has a set of concepts, techniques, and application areas largely distinct from continuous mathematics (traditional geometry, calculus, most of functional analysis, differential equations, topology). The interaction between the two – for example in computer models of continuous systems such as fluid flow – is a central issue in the applicable mathematics of the last hundred years. (...)
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  10. Humeanism and Exceptions in the Fundamental Laws of Physics.Billy Wheeler - 2017 - Principia: An International Journal of Epistemology 21 (3):317-337.
    It has been argued that the fundamental laws of physics do not face a ‘problem of provisos’ equivalent to that found in other scientific disciplines (Earman, Roberts and Smith 2002) and there is only the appearance of exceptions to physical laws if they are confused with differential equations of evolution type (Smith 2002). In this paper I argue that even if this is true, fundamental laws in physics still pose a major challenge to standard Humean approaches to lawhood, (...)
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  11.  68
    Spatial Opinion Dynamics and the Effects of Two Types of Mixing.Bert Baumgaertner, Peter A. Fetros, Stephen M. Krone & Rebecca T. Tyson - 2018 - Physical Review E 98 (2):022310.
    Spatially situated opinions that can be held with different degrees of conviction lead to spatiotemporal patterns such as clustering (homophily), polarization, and deadlock. Our goal is to understand how sensitive these patterns are to changes in the local nature of interactions. We introduce two different mixing mechanisms, spatial relocation and nonlocal interaction (“telephoning”), to an earlier fully spatial model (no mixing). Interestingly, the mechanisms that create deadlock in the fully spatial model have the opposite effect when there is a sufficient (...)
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  12. Process Philosophy and the Emergent Theory of Mind: Whitehead, Lloyd Morgan and Schelling.Arran Gare - 2002 - Concrescence 3:1-12.
    Attempts to ‘naturalize’ phenomenology challenge both traditional phenomenology and traditional approaches to cognitive science. They challenge Edmund Husserl’s rejection of naturalism and his attempt to establish phenomenology as a foundational transcendental discipline, and they challenge efforts to explain cognition through mainstream science. While appearing to be a retreat from the bold claims made for phenomenology, it is really its triumph. Naturalized phenomenology is spearheading a successful challenge to the heritage of Cartesian dualism. This converges with the reaction against Cartesian thought (...)
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  13.  73
    When Fields Are Not Degrees of Freedom.Vera Hartenstein & Mario Hubert - forthcoming - British Journal for the Philosophy of Science.
    We show that in the Maxwell–Lorentz theory of classical electrodynamics most initial values for fields and particles lead to an ill-defined dynamics, as they exhibit singularities or discontinuities along light-cones. This phenomenon suggests that the Maxwell equations and the Lorentz force law ought rather to be read as a system of delay differential equations, that is, differential equations that relate a function and its derivatives at different times. This mathematical reformulation, however, leads to physical and (...)
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  14.  32
    On the Gibbs-Liouville Theorem in Classical Mechanics.Andreas Henriksson - manuscript
    In this article, it is argued that the Gibbs-Liouville theorem is a mathematical representation of the statement that closed classical systems evolve deterministically. From the perspective of an observer of the system, whose knowledge about the degrees of freedom of the system is complete, the statement of deterministic evolution is equivalent to the notion that the physical distinctions between the possible states of the system, or, in other words, the information possessed by the observer about the system, is never lost. (...)
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  15. Remarks on the Geometry of Complex Systems and Self-Organization.Luciano Boi - 2012 - In Vincenzo Fano, Enrico Giannetto, Giulia Giannini & Pierluigi Graziani (eds.), Complessità e Riduzionismo. © ISONOMIA – Epistemologica, University of Urbino. pp. 28-43.
    Let us start by some general definitions of the concept of complexity. We take a complex system to be one composed by a large number of parts, and whose properties are not fully explained by an understanding of its components parts. Studies of complex systems recognized the importance of “wholeness”, defined as problems of organization (and of regulation), phenomena non resolvable into local events, dynamics interactions in the difference of behaviour of parts when isolated or in higher configuration, etc., in (...)
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  16.  39
    Laplacian Growth Without Surface Tension in Filtration Combustion: Analytical Pole Solution.Oleg Kupervasser - 2016 - Complexity 21 (5):31-42.
    Filtration combustion is described by Laplacian growth without surface tension. These equations have elegant analytical solutions that replace the complex integro-differential motion equations by simple differential equations of pole motion in a complex plane. The main problem with such a solution is the existence of finite time singularities. To prevent such singularities, nonzero surface tension is usually used. However, nonzero surface tension does not exist in filtration combustion, and this destroys the analytical solutions. However, a (...)
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  17.  29
    Scrutiny of Droste’s Original Solution (1917).Mohamed Elmansour Hassani - manuscript
    In 1916, Johannes Droste independently found an exact (vacuum) solution to the Einstein's (gravitational) field equations in empty space. Droste's solution is quasi-comparable to Schwarzschild's one . Droste published his paper entitled “The field of a single centre in Einstein's theory of gravitation, and the motion of a particle in that fieldˮ. The paper communicated (in the meeting of May 27, 1916) by Prof. H.A. Lorentz, and published in ʻProceedings of the Royal Netherlands Academy of Arts and Science. 19 (...)
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  18.  68
    Measuring Moral Reasoning Using Moral Dilemmas: Evaluating Reliability, Validity, and Differential Item Functioning of the Behavioral Defining Issues Test (bDIT).Youn-Jeng Choi, Hyemin Han, Kelsie J. Dawson, Stephen J. Thoma & Andrea L. Glenn - 2019 - European Journal of Developmental Psychology 16 (5):622-631.
    We evaluated the reliability, validity, and differential item functioning (DIF) of a shorter version of the Defining Issues Test-1 (DIT-1), the behavioral DIT (bDIT), measuring the development of moral reasoning. 353 college students (81 males, 271 females, 1 not reported; age M = 18.64 years, SD = 1.20 years) who were taking introductory psychology classes at a public University in a suburb area in the Southern United States participated in the present study. First, we examined the reliability of the (...)
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  19. Structural Equations and Beyond.Franz Huber - 2013 - Review of Symbolic Logic 6 (4):709-732.
    Recent accounts of actual causation are stated in terms of extended causal models. These extended causal models contain two elements representing two seemingly distinct modalities. The first element are structural equations which represent the or mechanisms of the model, just as ordinary causal models do. The second element are ranking functions which represent normality or typicality. The aim of this paper is to show that these two modalities can be unified. I do so by formulating two constraints under which (...)
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  20. Aristotle's Prior Analytics and Boole's Laws of Thought.John Corcoran - 2003 - History and Philosophy of Logic. 24 (4):261-288.
    Prior Analytics by the Greek philosopher Aristotle (384 – 322 BCE) and Laws of Thought by the English mathematician George Boole (1815 – 1864) are the two most important surviving original logical works from before the advent of modern logic. This article has a single goal: to compare Aristotle’s system with the system that Boole constructed over twenty-two centuries later intending to extend and perfect what Aristotle had started. This comparison merits an article itself. Accordingly, this article does not discuss (...)
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  21.  59
    What Is the Validity Domain of Einstein’s Equations? Distributional Solutions Over Singularities and Topological Links in Geometrodynamics.Elias Zafiris - 2016 - 100 Years of Chronogeometrodynamics: The Status of the Einstein's Theory of Gravitation in Its Centennial Year.
    The existence of singularities alerts that one of the highest priorities of a centennial perspective on general relativity should be a careful re-thinking of the validity domain of Einstein’s field equations. We address the problem of constructing distinguishable extensions of the smooth spacetime manifold model, which can incorporate singularities, while retaining the form of the field equations. The sheaf-theoretic formulation of this problem is tantamount to extending the algebra sheaf of smooth functions to a distribution-like algebra sheaf in (...)
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  22.  85
    Differential Calculus Based on the Double Contradiction.Kazuhiko Kotani - 2016 - Open Journal of Philosophy 6 (4):420-427.
    The derivative is a basic concept of differential calculus. However, if we calculate the derivative as change in distance over change in time, the result at any instant is 0/0, which seems meaningless. Hence, Newton and Leibniz used the limit to determine the derivative. Their method is valid in practice, but it is not easy to intuitively accept. Thus, this article describes the novel method of differential calculus based on the double contradiction, which is easier to accept intuitively. (...)
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  23. Dirac-Type Equations in a Gravitational Field, with Vector Wave Function.Mayeul Arminjon - 2008 - Foundations of Physics 38 (11):1020-1045.
    An analysis of the classical-quantum correspondence shows that it needs to identify a preferred class of coordinate systems, which defines a torsionless connection. One such class is that of the locally-geodesic systems, corresponding to the Levi-Civita connection. Another class, thus another connection, emerges if a preferred reference frame is available. From the classical Hamiltonian that rules geodesic motion, the correspondence yields two distinct Klein-Gordon equations and two distinct Dirac-type equations in a general metric, depending on the connection used. (...)
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  24. Carnap's Metrical Conventionalism Versus Differential Topology.Thomas Mormann - 2004 - Proc. 2004 Biennial Meeting of the PSA, vol. I, Contributed Papers 72 (5):814 - 825.
    Geometry was a main source of inspiration for Carnap’s conventionalism. Taking Poincaré as his witness Carnap asserted in his dissertation Der Raum (Carnap 1922) that the metrical structure of space is conventional while the underlying topological structure describes "objective" facts. With only minor modifications he stuck to this account throughout his life. The aim of this paper is to disprove Carnap's contention by invoking some classical theorems of differential topology. By this means his metrical conventionalism turns out to be (...)
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  25. On an Intrinsic Quantum Theoretical Structure Inside Einstein's Gravity Field Equations.Han Geurdes - manuscript
    As is well known, Einstein was dissatisfied with the foundation of quantum theory and sought to find a basis for it that would have satisfied his need for a causal explanation. In this paper this abandoned idea is investigated. It is found that it is mathematically not dead at all. More in particular: a quantum mechanical U(1) gauge invariant Dirac equation can be derived from Einstein's gravity field equations. We ask ourselves what it means for physics, the history of (...)
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  26. Pynchon’s Against the Day: Bilocation, Duplication, and Differential Repetition.Ali Salami & Razieh Rahmani - 2018 - ACADEMY PUBLICATION 9 (5):953-960.
    In Against the Day, Pynchon is obsessed with twoness, double worlds, as well as dual realities, and like Deleuze’s concept of repetition, these duplications and twinships are not merely repetition of the same, rather they allow for creativity, reinvention, and becoming. Pynchon’s duplication of fictional and spectral characters intends to critique the notion of identity as does Deleuzian concept of repetition. Not attached to the representational concept of identity as the recurrence of the same, Pynchon’s duplications decenter the transcendental concept (...)
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  27. Good and Evil as Softwares of the Brain, on Psychological Immediates Underlying the Metaphysical Ultimates-a Contribution From Cognitive Social-Psychology and Semantic Differential Research.Guido Peeters - 1986 - Ultimate Reality and Meaning 9 (3):210-231.
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  28. The Differential Point of View of the Infinitesimal Calculus in Spinoza, Leibniz and Deleuze.Simon Duffy - 2006 - Journal of the British Society for Phenomenology 37 (3):286-307.
    In Hegel ou Spinoza,1 Pierre Macherey challenges the influence of Hegel’s reading of Spinoza by stressing the degree to which Spinoza eludes the grasp of the Hegelian dialectical progression of the history of philosophy. He argues that Hegel provides a defensive misreading of Spinoza, and that he had to “misread him” in order to maintain his subjective idealism. The suggestion being that Spinoza’s philosophy represents, not a moment that can simply be sublated and subsumed within the dialectical progression of the (...)
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  29.  26
    Derivative Differential Responsibility: A Reply to Peels.Benjamin Rossi - 2018 - Teorema: International Journal of Philosophy 37 (2):139-151.
    At the heart of Rik Peels’s Responsible Belief: A Theory in Ethics and Epistemology is the idea that responsibility for belief ought to be understood on the model of responsibility for states of affairs that are subject to our influence but not under our intentional control, or what he calls derivative responsibility. In this article, I argue that reflection on the nature and scope of derivative responsibility reveals important lacunae in Peels’s account of responsible belief and his account of responsibility (...)
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  30. Field Equations, Quantum Mechanics and Geotropism.Han J. F. Geurdes - manuscript
    The biochemistry of geotropism in plants and gravisensing in e.g. cyanobacteria or paramacia is still not well understood today [1]. Perhaps there are more ways than one for organisms to sense gravity. The two best known relatively old explanations for gravity sensing are sensing through the redistribution of cellular starch statoliths and sensing through redistribution of auxin. The starch containing statoliths in a gravity field produce pressure on the endoplasmic reticulum of the cell. This enables the cell to sense direction. (...)
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  31. Scrutiny of Einstein's Geodesic and Field Equations.Mohamed Elmansour Hassani - manuscript
    Since its final version and publication in 1916, it is widely reported in several specialized textbooks and research articles that general relativity theory may be reduced to the Newton's gravity theory in the limit of a weak gravitational field and slow motion of the material bodies. In the present paper, the so-called reducibility of Einstein's geodesic and field equations to Newton's equation of motion and Poisson's gravitational potential equation, respectively, is scrutinized and proven to be mathematically, physically and dimensionally (...)
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  32.  75
    Differential Activation of ER Stress Signal Pathway s Contributes to Palmitate-Induced Hepatocyte Lipoapoptosis.Xiaofang Zhao - 2016 - Cell Biology 4 (1):128.
    Saturated free fatty acids-induced hepatocyte lipoapoptosis plays a pivotal role in non-alcoholic steatohepatitis. Theactivation of endoplasmic reticulum (ER) stress isinvolved in hepatocyte lipoapoptosis induced by thesaturated free fatty acidpalmitate (PA). However, the underlying mechanismsof the role of ER stress in hepatocyte lipoapoptosis remain largely unclear.In this study, we showed that PA and tunicamycin (Tun), a classic ER stress inducer, resulted in differential activation of ERstress pathways. Our data revealed that PA inducedchronic and persistent ER stress response, but Tuninduced acute (...)
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  33. On Some Considerations of Mathematical Physics: May We Identify Clifford Algebra as a Common Algebraic Structure for Classical Diffusion and Schrödinger Equations?Elio Conte - 2012 - Advanced Studies in Theoretical Physics 6 (26):1289-1307.
    We start from previous studies of G.N. Ord and A.S. Deakin showing that both the classical diffusion equation and Schrödinger equation of quantum mechanics have a common stump. Such result is obtained in rigorous terms since it is demonstrated that both diffusion and Schrödinger equations are manifestation of the same mathematical axiomatic set of the Clifford algebra. By using both such ( ) i A S and the i,±1 N algebra, it is evidenced, however, that possibly the two basic (...)
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  34.  63
    Differential Activation of ER Stress Signal Pathway s Contributes to Palmitate-Induced Hepatocyte Lipoapoptosis.Fuli Yao - 2016 - Cell Biology 4 (1):1-8.
    Saturated free fatty acids-induced hepatocyte lipoapoptosis plays a pivotal role in non-alcoholic steatohepatitis. Theactivation of endoplasmic reticulum (ER) stress isinvolved in hepatocyte lipoapoptosis induced by thesaturated free fatty acidpalmitate (PA). However, the underlying mechanismsof the role of ER stress in hepatocyte lipoapoptosis remain largely unclear.In this study, we showed that PA and tunicamycin (Tun), a classic ER stress inducer, resulted in differential activation of ERstress pathways. Our data revealed that PA inducedchronic and persistent ER stress response, but Tuninduced acute (...)
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  35. On an Intrinsic Quantum Theoretical Structure Inside Einstein's Gravity Field Equations.J. F. Geurdes - manuscript
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  36. A Generalized Selected Effects Theory of Function.Justin Garson - 2017 - Philosophy of Science 84 (3):523-543.
    I present and defend the generalized selected effects theory (GSE) of function. According to GSE, the function of a trait consists in the activity that contributed to its bearer’s differential reproduction, or differential retention, within a population. Unlike the traditional selected effects (SE) theory, it does not require that the functional trait helped its bearer reproduce; differential retention is enough. Although the core theory has been presented previously, I go significantly beyond those presentations by providing a new (...)
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  37. Dynamic Systems as Tools for Analysing Human Judgement.Joachim Funke - 2001 - Thinking and Reasoning 7 (1):69 – 89.
    With the advent of computers in the experimental labs, dynamic systems have become a new tool for research on problem solving and decision making. A short review of this research is given and the main features of these systems (connectivity and dynamics) are illustrated. To allow systematic approaches to the influential variables in this area, two formal frameworks (linear structural equations and finite state automata) are presented. Besides the formal background, the article sets out how the task demands of (...)
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  38. Maimon’s Theory of Differentials As The Elements of Intuitions.Simon Duffy - 2014 - International Journal of Philosophical Studies 22 (2):1-20.
    Maimon’s theory of the differential has proved to be a rather enigmatic aspect of his philosophy. By drawing upon mathematical developments that had occurred earlier in the century and that, by virtue of the arguments presented in the Essay and comments elsewhere in his writing, I suggest Maimon would have been aware of, what I propose to offer in this paper is a study of the differential and the role that it plays in the Essay on Transcendental Philosophy (...)
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  39. A Theory of Structural Determination.J. Dmitri Gallow - 2016 - Philosophical Studies 173 (1):159-186.
    While structural equations modeling is increasingly used in philosophical theorizing about causation, it remains unclear what it takes for a particular structural equations model to be correct. To the extent that this issue has been addressed, the consensus appears to be that it takes a certain family of causal counterfactuals being true. I argue that this account faces difficulties in securing the independent manipulability of the structural determination relations represented in a correct structural equations model. I then (...)
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  40. Schizo‐Math.Simon Duffy - 2004 - Angelaki 9 (3):199 – 215.
    In the paper “Math Anxiety,” Aden Evens explores the manner by means of which concepts are implicated in the problematic Idea according to the philosophy of Gilles Deleuze. The example that Evens draws from Difference and Repetition in order to demonstrate this relation is a mathematics problem, the elements of which are the differentials of the differential calculus. What I would like to offer in the present paper is an historical account of the mathematical problematic that Deleuze deploys in (...)
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  41.  8
    Remarks on Mӧller Mistaken Famous Paper From 1943.Jaykov Foukzon - manuscript
    Einstein field equations was originally derived by Einstein in 1915 in respect with canonical formalism of Riemann geometry,i.e. by using the classical sufficiently smooth metric tensor, smooth Riemann curvature tensor, smooth Ricci tensor,smooth scalar curvature, etc.. However have soon been found singular solutions of the Einstein field equations with degenerate and singular metric tensor and singular Riemann curvature tensor. These degenerate and singular solutions of the Einstein field equations was formally accepted by main part of scientific community (...)
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  42.  25
    Introduction dans les théories de la relativité.Nicolae Sfetcu - manuscript
    Selon la relativité générale, la force gravitationnelle est une manifestation de la géométrie de l'espace-temps local. RG est une théorie métrique de la gravité. Il est basé sur les équations d'Einstein, qui décrivent la relation entre la géométrie d'une variété pseudo-riemannienne à quatre dimensions, représentant l'espace-temps et l'énergie-impulsion contenu dans cet espace-temps. La gravité correspond aux modifications des propriétés spatiales et temporelles, qui à leur tour modifient les chemins des objets. La courbure est causée par l'énergie-impulsion de la matière. Selon (...)
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  43. About Appearance of the Irreversibility.Igor V. Lebed - 2014 - Open Journal of Fluid Dynamics 4 (3):298-320.
    The inevitability of arising in equations of kinetics and hydrodynamics irreversibility not contained in original equations of classic mechanics is substantiated. It is established that transfer of information about the direction of system evolution from initial conditions to resulting equations is the consequence of losing information about the position of an individual particle in space, which takes place at roughening description. It is shown that the roughening with respect to impact parameters of colliding particles is responsible for (...)
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  44. A Model-Invariant Theory of Causation.J. Dmitri Gallow - manuscript
    I provide a theory of causation formulated within the causal modeling framework. In contrast to its predecessors, this theory is model-invariant in the following sense: if the theory says that C caused (didn't cause) E in a causal model, M, then it will continue to say that C caused (didn't cause) E once we've removed an inessential variable from M. I suggest that, if this theory is true, then we should understand a cause as something which transmits deviant or non-inertial (...)
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  45. Introduction to Special Issue on 'Actual Causation'.Michael Baumgartner & Luke Glynn - 2013 - Erkenntnis 78 (1):1-8.
    An actual cause of some token effect is itself a token event that helped to bring about that effect. The notion of an actual cause is different from that of a potential cause – for example a pre-empted backup – which had the capacity to bring about the effect, but which wasn't in fact operative on the occasion in question. Sometimes actual causes are also distinguished from mere background conditions: as when we judge that the struck match was a cause (...)
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  46. An Internal Limit of the Structural Analysis of Causation.Alessandro Giordani - 2016 - Axiomathes 26 (4):429-450.
    Structural models of systems of causal connections have become a common tool in the analysis of the concept of causation. In the present paper I offer a general argument to show that one of the most powerful definitions of the concept of actual cause, provided within the structural models framework, is not sufficient to grant a full account of our intuitive judgements about actual causation, so that we are still waiting for a comprehensive definition. This is done not simply by (...)
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  47. Antonio Gramsci: Beyond Marxism and Postmodernism.Renate Holub - 1992 - Routledge.
    This book provides the first detailed account of Gramsci's work in the context of current critical and socio-cultural debates. Renate Holub argues that Gramsci was ahead of his time in offering a theory of art, politics and cultural production. Gramsci's achievement is discussed particularly in relation to the Frankfurt School (Adorno, Horkheimer, Benjamin, Bloch, Habermas), to Brecht's theoretical writings and to thinkers in the phenomenological tradition especially Merleau-Ponty. She argues for Gramsci's continuing relevance at a time of retreat from Marxist (...)
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  48. Two Conjectures on the Arithmetic in ℝ and ℂ†.Apoloniusz Tyszka - 2010 - Mathematical Logic Quarterly 56 (2):175-184.
    Let G be an additive subgroup of ℂ, let Wn = {xi = 1, xi + xj = xk: i, j, k ∈ {1, …, n }}, and define En = {xi = 1, xi + xj = xk, xi · xj = xk: i, j, k ∈ {1, …, n }}. We discuss two conjectures. If a system S ⊆ En is consistent over ℝ, then S has a real solution which consists of numbers whose absolute values belong to (...)
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  49. Wittgenstein on Mathematical Identities.André Porto - 2012 - Disputatio 4 (34):755-805.
    This paper offers a new interpretation for Wittgenstein`s treatment of mathematical identities. As it is widely known, Wittgenstein`s mature philosophy of mathematics includes a general rejection of abstract objects. On the other hand, the traditional interpretation of mathematical identities involves precisely the idea of a single abstract object – usually a number –named by both sides of an equation.
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  50.  22
    Light Signifying Form: Peirce on Creativity, Responsiveness and Emergence in Quantum, Biological and Linguistic Systems.Timothy M. Rogers - manuscript
    Using Peirce as a guide, this paper explores the way in which light mediates finitude through the relational process of semiosis. Embodying the triadic logic of identity, difference and return, light creates space, time and matter. Attention is on simple bodily forms and the meta-physics of their relationality. The first section introduces the mathematical and metaphysical contours of Peirce’s approach. The second section motivates Peirce’s three categories as interwoven process. In the third section, Peirce’s formalism of the sign is presented (...)
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