Results for 'Tangent'

97 found
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  1.  28
    Non‐archimedean stratifications of tangent cones.Erick García Ramírez - 2017 - Mathematical Logic Quarterly 63 (3-4):299-312.
    We study the impact of a kind of non‐archimedean stratifications (t‐stratifications) on tangent cones of definable sets in real closed fields. We prove that such stratifications induce stratifications of the same nature on the tangent cone of a definable set at a fixed point. As a consequence, the archimedean counterpart of a t‐stratification is shown to induce Whitney stratifications on the tangent cones of a semi‐algebraic set. Extensions of these results are proposed for real closed fields with (...)
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  2.  59
    Les cercles tangents d'al-Qūhī.Philippe Abgrall - 1995 - Arabic Sciences and Philosophy 5 (2):263.
    This article presents the Arabic text of al-Q's short geometric treatise, The Book of the centres of the tangent circles on lines, by the method of analysis, with translation and a mathematical commentary. In this treatise al-Q solves by analysis an ordered set of eight problems where the goal is to locate, on a given line, the centre of a circle which is tangent to two given elements, which may be points, straight lines or circles. For example, in (...)
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  3.  29
    A New Subject-Specific Discriminative and Multi-Scale Filter Bank Tangent Space Mapping Method for Recognition of Multiclass Motor Imagery.Fan Wu, Anmin Gong, Hongyun Li, Lei Zhao, Wei Zhang & Yunfa Fu - 2021 - Frontiers in Human Neuroscience 15.
    Objective: Tangent Space Mapping using the geometric structure of the covariance matrices is an effective method to recognize multiclass motor imagery. Compared with the traditional CSP method, the Riemann geometric method based on TSM takes into account the nonlinear information contained in the covariance matrix, and can extract more abundant and effective features. Moreover, the method is an unsupervised operation, which can reduce the time of feature extraction. However, EEG features induced by MI mental activities of different subjects are (...)
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  4.  14
    Naturphilosophie und Naturwissenschaft: Tangente und Emergenz im interdisziplinären Spannungsumfeld.Hisaki Hashi - 2010 - Berlin: Lit.
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  5.  13
    The inverse method of tangents: A dialogue between Leibniz and Newton.Christoph J. Scriba - 1963 - Archive for History of Exact Sciences 2 (2):113-137.
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  6.  44
    Roberval's Method of Tangents.Kirsti Møller Pedersen - 1969 - Centaurus 13 (2):151-182.
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  7.  39
    Exponents and Tangents in Leibniz’s Work in Paris.Arilès Remaki - 2021 - Philosophia Scientiae 25:95-132.
    L’œuvre mathématique de Leibniz a ceci d’intéressant qu’au travers des innombrables manuscrits de travail dont nous disposons dans ses archives à Hanovre, le philosophe nous a confié le matériel nécessaire pour rétablir ses divers cheminements de recherche ainsi que ses méthodes de découvertes à l’origine de ses créations mathématiques. L’exemple des exposants que nous allons traiter permet d’éclairer utilement la façon dont Leibniz apprend les mathématiques et change progressivement de posture et de démarche. Ainsi, dans sa première année parisienne, la (...)
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  8. Le problème des tangentes de Descartes à Leibniz.Enrico Giusti - 1986 - Studia Leibnitiana 14 (1).
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  9.  32
    Connections and geodesics in the spacetime tangent bundle.Howard E. Brandt - 1991 - Foundations of Physics 21 (11):1285-1295.
    Recent interest in maximal proper acceleration as a possible principle generalizing the theory of relativity can draw on the differential geometry of tangent bundles, pioneered by K. Yano, E. T. Davies, and S. Ishihara. The differential equations of geodesics of the spacetime tangent bundle are reduced and investigated in the special case of a Riemannian spacetime base manifold. Simple relations are described between the natural lift of ordinary spacetime geodesics and geodesics in the spacetime tangent bundle.
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  10.  25
    Japanese Seven-Place Sine and Tangent Tables of 1856.Alan Mackay - 1971 - Isis 62 (3):375-379.
  11.  31
    Desgarramiento subjetivo y objetivo en las filosofías de Theodor W. Adorno y Walter Benjamin. Una tangente analítica de la modernidad.María Rita Moreno - 2024 - Ideas Y Valores 72 (182).
    Este trabajo muestra una concurrencia patente en la resonancia de las categorías ‘industria cultural’ [Kulturindustrie] –empleada por Theodor Adorno para indicar ciertas zonas de la dialéctica subjetiva– e ‘industria de recreo’ [Vergnügungsindustrie] –referida por Walter Benjamin en relación a la dialéctica objetiva–. Me detengo en esta poco explorada concomitancia para determinar por qué Adorno evidencia una dialéctica de la subjetividad administrada en la renuncia sacrificial y Benjamin elabora una dialéctica de la objetividad fetichizada signada por su carácter de fantasmagoría cadavérica. (...)
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  12.  5
    Fermat’s Analysis of Extreme Values and Tangents.Herbert Breger - 2013 - Studia Leibnitiana 45 (1):20-41.
  13.  18
    Pierre Fermat's Method of Determining Tangents of Curves and Its Application to the Conchoid and the Quadratrix.Claus Jensen - 1969 - Centaurus 14 (1):72-85.
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  14.  30
    René-François de Sluse et le problème des Tangentes.L. Rosenfeld - 1928 - Isis 10 (2):416-434.
  15.  88
    Finsler Geometry and Relativistic Field Theory.R. G. Beil - 2003 - Foundations of Physics 33 (7):1107-1127.
    Finsler geometry on the tangent bundle appears to be applicable to relativistic field theory, particularly, unified field theories. The physical motivation for Finsler structure is conveniently developed by the use of “gauge” transformations on the tangent space. In this context a remarkable correspondence of metrics, connections, and curvatures to, respectively, gauge potentials, fields, and energy-momentum emerges. Specific relativistic electromagnetic metrics such as Randers, Beil, and Weyl can be compared.
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  16. 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. Next, the (...)
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  17.  23
    Leibniz: publications on natural philosophy.Richard Arthur, Jeffery K. McDonough, R. S. Woolhouse & Gottfried Wilhelm Leibniz (eds.) - 2023 - New York: Oxford University Press.
    This is the first volume compiling English translations of Leibniz's journal articles on natural philosophy, presenting a selection of 26 articles, only three of which have appeared before in English translation. It also includes in full Leibniz's public controversies with De Catelan, Papin, and Hartsoeker. The articles include work in optics, on the fracture strength of materials, and on motion in a resisting medium, and Leibniz's pioneering applications of his calculus to these issues by construing them as mini-max and inverse (...)
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  18. Topics in the Foundations of General Relativity and Newtonian Gravitation Theory.David B. Malament - 2012 - Chicago: Chicago University Press.
    1.1 Manifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Tangent Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (...)
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  19. On the Structure of Classical Mechanics.Thomas William Barrett - 2015 - British Journal for the Philosophy of Science 66 (4):801-828.
    The standard view is that the Lagrangian and Hamiltonian formulations of classical mechanics are theoretically equivalent. Jill North, however, argues that they are not. In particular, she argues that the state-space of Hamiltonian mechanics has less structure than the state-space of Lagrangian mechanics. I will isolate two arguments that North puts forward for this conclusion and argue that neither yet succeeds. 1 Introduction2 Hamiltonian State-space Has less Structure than Lagrangian State-space2.1 Lagrangian state-space is metrical2.2 Hamiltonian state-space is symplectic2.3 Metric > (...)
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  20.  14
    Introduction.Simon Cushing - 2021 - In New Philosophical Essays on Love and Loving. Palgrave-Macmillan. pp. 1-24.
    Love has been a topic of interest to philosophy since at least the time of Plato’s Symposium, but with a few notable exceptions, it was unduly neglected in the twentieth century, at least by writers in the analytic tradition that predominates in the English-speaking world. However, in the past quarter century, writing on the topic has exploded. In this volume, we touch on most of the currently hot debates and also introduce some fascinating tangents. The main threads of discussion reflected (...)
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  21.  18
    Analysis, si uti scias, potens est. Reappraisal of Heuristic Power of Greek Geometrical Analysis.Ken Saito - 2021 - Philosophia Scientiae 25:23-54.
    In this article, we assess the heuristic power of Greek geometrical analysis by trying to reconstruct some analyses of extant propositions of which only the demonstration is found in the text. We have reconstructed the analysis of the trisection of an angle, the property of the tangent to the parabola, to the hyperbola/ellipse, and to the spiral line. In all of these cases, the results and the demonstrations can be found by the analysis alone, without arguments by analogy with (...)
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  22.  15
    The Importance of Being Equivalent: Newton’s Two Models of One-Body Motion.Bruce Pourciau - 2004 - Archive for History of Exact Sciences 58 (4):283-321.
    Abstract.As an undergraduate at Cambridge, Newton entered into his ‘Waste Book’ an assumption that we have named the Equivalence Assumption (The Younger): ‘‘ If a body move progressively in some crooked line [about a center of motion]..., [then this] crooked line may bee conceived to consist of an infinite number of streight lines. Or else in any point of the croked line the motion may bee conceived to be on in the tangent.’’ In this assumption, Newton somewhat imprecisely describes (...)
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  23. Full Bayesian Significance Test Applied to Multivariate Normal Structure Models.Marcelo de Souza Lauretto, Carlos Alberto de Braganca Pereira, Julio Michael Stern & Shelemiahu Zacks - 2003 - Brazilian Journal of Probability and Statistics 17:147-168.
    Abstract: The Pull Bayesian Significance Test (FBST) for precise hy- potheses is applied to a Multivariate Normal Structure (MNS) model. In the FBST we compute the evidence against the precise hypothesis. This evi- dence is the probability of the Highest Relative Surprise Set (HRSS) tangent to the sub-manifold (of the parameter space) that defines the null hypothesis. The MNS model we present appears when testing equivalence conditions for genetic expression measurements, using micro-array technology.
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  24. note on Sorites series.Friedrich Wilhelm Grafe - 2020 - Archive.Org.
    Vagueness does not necessarily come in with vague predicates, nor need it be expressed by them , but undoubtedly 'vague predicates' are traditionally in the focus of main stream discussions of vagueness. In her current modal logic presentation and discussion of the Sorites paradox Susanne Bobzien[1] lists among the properties of a Sorites series a rather weak modal tolerance principle governing the 'grey zone' containing the borderline cases of the Sorites series, which later proves crucial for her solution of the (...)
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  25.  12
    Newton's Argument for Proposition 1 of the Principia.Bruce Pourciau - 2003 - Archive for History of Exact Sciences 57 (4):267-311.
    The first proposition of the Principia records two fundamental properties of an orbital motion: the Fixed Plane Property (that the orbit lies in a fixed plane) and the Area Property (that the radius sweeps out equal areas in equal times). Taking at the start the traditional view, that by an orbital motion Newton means a centripetal motion – this is a motion ``continually deflected from the tangent toward a fixed center'' – we describe two serious flaws in the Principia's (...)
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  26.  93
    Smooth Infinitesimals in the Metaphysical Foundation of Spacetime Theories.Lu Chen - 2022 - Journal of Philosophical Logic 51 (4):857-877.
    I propose a theory of space with infinitesimal regions called smooth infinitesimal geometry based on certain algebraic objects, which regiments a mode of reasoning heuristically used by geometricists and physicists. I argue that SIG has the following utilities. It provides a simple metaphysics of vector fields and tangent space that are otherwise perplexing. A tangent space can be considered an infinitesimal region of space. It generalizes a standard implementation of spacetime algebraicism called Einstein algebras. It solves the long-standing (...)
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  27.  43
    Random Discussion Leader in the Philosophy Classroom.Ian Schnee, Kristi Straus, José M. Guzmán & Ariane Gauvreau - 2023 - Teaching Philosophy 46 (4):531-557.
    Teaching through discussion is perhaps the most fundamental pedagogical technique of philosophy. When done well, discussion can promote long-term, durable learning. It supports an active-learning classroom, sparks higher-order cognition, and helps students construct their own understanding of the material. Yet it is often not done well: it is easily dominated by a few students; it can waste time on tangents and minutiae; it can fail to motivate students to prepare adequately; and it is not easily scalable. In this paper we (...)
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  28. On the role of special relativity in general relativity.Harvey R. Brown - 1997 - International Studies in the Philosophy of Science 11 (1):67 – 81.
    The existence of a definite tangent space structure (metric with Lorentzian signature) in the general theory of relativity is the consequence of a fundamental assumption concerning the local validity of special relativity. There is then at the heart of Einstein's theory of gravity an absolute element which depends essentially on a common feature of all the non-gravitational interactions in the world, and which has nothing to do with space-time curvature. Tentative implications of this point for the significance of the (...)
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  29.  7
    O Vir a Ser Próprio Ou Impróprio, a Angústia, o Ser-Para-a-Morte e Os Fazeres da Psicoterapia.José Olinda Braga & Crisostomo Lima do Nascimento - 2024 - Cadernos Do Pet Filosofia 15 (29):106-119.
    O texto que aqui se apresenta tem por objetivo principal o desvelamento das possíveis relações entre a noção de ser-para-a-morte desenvolvida pelo filósofo alemão Martin Heidegger (1889-1976) em sua analítica existencial do Dasein desenvolvida em sua obra precípua, Ser e tempo, em vias de se empreender uma Ontologia Fundamental, e seus fenômenos tangentes, angústia e processo apropriativo, e os fazeres da psicoterapia.
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  30.  21
    Nuevas geometrías, fósforo y redes epistolares. Algunas de las estrategias de Leibniz para formar parte de la Académie des sciences.Miguel Palomo - 2021 - Logos. Anales Del Seminario de Metafísica [Universidad Complutense de Madrid, España] 54 (2):331-348.
    Entre 1676 y 1680 Leibniz intentó conseguir un puesto remunerado en la Académie des sciencesque quedó vacante tras el fallecimiento de Roberval en 1675. Al mismo tiempo, Leibniz ofrece en cartas a Huygens varios métodos, recetas e invenciones que podrían ser de utilidad para la academia parisina: entre ellos encontramos el analysis situs, una discusión sobre el método de Becher para encontrar oro, la receta del fósforo, el método inverso de tangentes, la cuadratura aritmética y su propia red epistolar. La (...)
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  31.  15
    The end of an error: Bianchini, Regiomontanus, and the tabulation of stellar coordinates.Glen Van Brummelen - 2018 - Archive for History of Exact Sciences 72 (5):547-563.
    Giovanni Bianchini’s fifteenth-century Tabulae primi mobilis is a collection of 50 pages of canons and 100 pages of tables of spherical astronomy and mathematical astrology, beginning with a treatment of the conversion of stellar coordinates from ecliptic to equatorial. His new method corrects a long-standing error made by a number of his antecedents, and with his tables the computations are much more efficient than in Ptolemy’s Almagest. The completely novel structure of Bianchini’s tables, here and in his Tabulae magistrales, was (...)
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  32.  20
    Na Era Tecnológica, Em Vias Do Esquecimento: Estudo da Atual Situação Educacional de Estudantes de Algumas Escolas Públicas Do Interior da Bahia, No Período da Pandemia Covid-19.Elenilda Alves Brandão - 2021 - REVISTA LIBERTAÇÃO - A FILOSOFIA A EDUCAÇÃO E SUAS INTERFACES 2 (1).
    Este escrito traz uma abordagem sobre a visão de alguns estudantes do ensino fundamental II e do ensino médio de escolas públicas do interior da Bahia, sobre como pensam as suas atuais situações educacionais em meio à pandemia causada pela COVID-19, motivo o qual as aulas presencias foram totalmente suspensas. Sobre o prisma das (im)possibilidades do acesso às TICs pelos estudantes, observamos o possível alargamento das suas autonomias educacionais, bem como impulsionamento de suas posturas critica reflexivas e, a partir destas, (...)
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  33.  24
    An analysis of the Tabulae magistrales by Giovanni Bianchini.José Chabás - 2016 - Archive for History of Exact Sciences 70 (5):543-552.
    Bianchini called Tabulae magistrales a set of eight tables he compiled to solve problems in spherical astronomy. This set, which is the object of this paper, consists of auxiliary and trigonometric functions, including the sine and the tangent functions, for radii 10,000 and 60,000, and seems to be the first set of tables in Latin specifically devoted to mathematical tools for computational astronomy. Bianchini presented some of his tables in decimal form, which meant that for the first time one (...)
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  34.  32
    César sonha com um mundo em que não atravessou O rubicão?Raquel De Azevedo - 2016 - Cadernos Espinosanos 34:213-228.
    Em Androides sonham com ovelhas elétricas?, Philip Dick recria a visão divina dos infinitos mundo possíveis a partir da perspectiva das criaturas, isto é, a partir da visão dos mundos extintos que lhe aparecem no momento de hesitação garantido pelo livre arbítrio. Minha hipótese é que a passagem dos mundos possíveis no intelecto divino à forma que assumem na indiferença da vontade das criaturas tem uma dimensão geométrica. Pensar a curva do mundo atual a partir da série dos mundos menos (...)
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  35.  43
    On the definition and examples of Finsler metrics.Miguel Angel Javaloyes & Miguel Sanchez - 2014 - Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 13 (3):813-858.
    For a standard Finsler F on a manifold M, the domain is the whole tangent bundle T M and the fundamental tensor g is positive-definite. However, in many cases, these two conditions hold in a relaxed form only, namely one has either a psuedo-Finsler metric or a conic Finsler metric. Our aim is twofold. First, we want to give an account of quite a few subtleties that appear under such generalizations, say, for conic pseudo-finsler metrics. Second, we aim to (...)
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  36. An Untitled Derivation of the Law of Refraction, December 1681.Gottfried Wilhelm Leibniz - unknown
    Let AC be a ray coming from the medium DC into the medium CE, and let the density of the former to the latter be as d to e. It is asked, how should the ray ACB be directed so that it is the easiest path of all, or that (AC x d) + (CB x e) is a minimum. Let DC = l, and EC = m. It is given also that FG = f, and let AD = FC (...)
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  37.  19
    Comparison of the Gait Biomechanical Constraints in Three Different Type of Neuromotor Damages.Silvia Minosse, Martina Favetta, Alberto Romano, Alessandra Pisano, Susanna Summa, Tommaso Schirinzi, Gessica Vasco, Enrico Castelli & Maurizio Petrarca - 2022 - Frontiers in Human Neuroscience 16.
    Background and ObjectiveAbsolute angle represents the inclination of a body segment relative to a fixed reference in space. This work compares the absolute and relative angles for exploring biomechanical gait constraints.MethodsGait patterns of different neuromotor conditions were analyzed using 3D gait analysis: normal gait, Cerebral Palsy, Charcot Marie Tooth and Duchenne Muscular Dystrophy, representing central and peripheral nervous system and muscular disorders, respectively. Forty-two children underwent gait analysis: 10 children affected by CP, 10 children by CMT, 10 children by DMD (...)
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  38.  68
    Mathematical methods in abū al-wafāʾ's almagest and the qibla determinations.Ali Moussa - 2011 - Arabic Sciences and Philosophy 21 (1):1-56.
    RésuméLe problème de la détermination de la Qibla est l'une des questions cruciales qui se posent à la culture scientifique de l'Islam médiéval; le résoudre correctement nécessite tant des théories mathématiques que des observations. Les mathématiques relèvent de deux chapitres: la trigonométrie plane et la trigonométrie sphérique. L'observation et les instruments d'observation sont indispensables à la détermination des coordonnées géographiques de La Mecque et du lieu donné; ces coordonnées sont en effet les données que l'on entre dans les formules donnant (...)
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  39.  11
    Dictionary of oriental philosophy.Ruth Reyna - 1984 - New Delhi: Munshiram Manoharlal Publishers.
    Illustrations: 31 Figures Description: The present work is a masterful compilation which, from its nature and scope, and from the method followed in its preparation, exhibits that it is not merely a dictionary, but it is in fact more than that. Arranged alphabetically, this dictionary has been conceived on a large scale and written by a deft hand. The work is divided into two volumes. Volume I deals with India and the Middle East and contains 2250 titles, and volume II (...)
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  40.  72
    The mechanical and the wave-theoretical aspects of momentum considering discrete action.Patrick Sibelius - 1990 - Foundations of Physics 20 (9):1033-1059.
    The mechanical aspect of momentum, basically its role as a tangent vector of the trajectory of the particle, is related to properties of the momentum found in the contexts of Hamilton's optico-mechanical analogy, de Broglie's matter waves, and quantum mechanics. These properties are treated in a systematic way by considering an approximation of the particle mechanical action of the particle by a step function. A special method of discretizing partial differential equations is shown to be required. Using this method, (...)
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  41. The emergence of a Kaluza-Klein microgenometry from the invariants of optimally Euclidean Lorentzian spaces.José G. Vargas & Douglas G. Torr - 1997 - Foundations of Physics 27 (4):533-558.
    It is shown that relativistic spacetimes can be viewed as Finslerian spaces endowed with a positive definite distance (ω0, mod ωi) rather than as pariah, pseudo-Riemannian spaces. Since the pursuit of better implementations of “Euclidicity in the small” advocates absolute parallelism, teleparallel nonlinear Euclidean (i.e., Finslerian) connections are scrutinized. The fact that (ωμ, ω0 i) is the set of horizontal fundamental 1-forms in the Finslerian fibration implies that it can be used in principle for obtainingcompatible new structures. If the connection (...)
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  42.  85
    Teleparallel Kähler Calculus for Spacetime.Jose G. Vargas & Douglas G. Torr - 1998 - Foundations of Physics 28 (6):931-958.
    In a recent paper [J. G. Vargas and D. G. Torr, Found. Phys. 27, 599 (1997)], we have shown that a subset of the differential invariants that define teleparallel connections in spacetime generates a teleparallel Kaluza-Klein space (KKS) endowed with a very rich Clifford structure. A canonical Dirac equation hidden in this structure might be uncovered with the help of a teleparallel Kähler calculus in KKS. To bridge the gap to such a calculus from the existing Riemannian Kähler calculus in (...)
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  43.  69
    Almost Equal: The Method of Adequality from Diophantus to Fermat and Beyond.Mikhail G. Katz, David M. Schaps & Steven Shnider - 2013 - Perspectives on Science 21 (3):283-324.
    Adequality, or παρισóτης (parisotēs) in the original Greek of Diophantus 1 , is a crucial step in Fermat’s method of finding maxima, minima, tangents, and solving other problems that a modern mathematician would solve using infinitesimal calculus. The method is presented in a series of short articles in Fermat’s collected works (1891, pp. 133–172). The first article, Methodus ad Disquirendam Maximam et Minimam 2 , opens with a summary of an algorithm for finding the maximum or minimum value of an (...)
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  44.  72
    The Concept of Morphospaces in Evolutionary and Developmental Biology: Mathematics and Metaphors.Philipp Mitteroecker & Simon M. Huttegger - 2009 - Biological Theory 4 (1):54-67.
    Formal spaces have become commonplace conceptual and computational tools in a large array of scientific disciplines, including both the natural and the social sciences. Morphological spaces are spaces describing and relating organismal phenotypes. They play a central role in morphometrics, the statistical description of biological forms, but also underlie the notion of adaptive landscapes that drives many theoretical considerations in evolutionary biology. We briefly review the topological and geometrical properties of the most common morphospaces in the biological literature. In contemporary (...)
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  45.  27
    G.W. Leibniz, Interrelations Between Mathematics and Philosophy.Douglas M. Jesseph (ed.) - 2015 - Springer Verlag.
    Early in his mathematical career Leibniz discovered some important methods and results but had to recognize that his findings had been anticipated by other mathematicians such as Pierre de Fermat, James Gregory, Isaac Newton, François Regnauld, John Wallis, etc. This paper investigates the cases of Isaac Barrow and Pietro Mengoli who, earlier than Leibniz, had been familiar with the characteristic triangle, transmutations methods, the inverse connection between determining tangents and areas of curves or the sums of the reciprocal figurate numbers, (...)
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  46.  59
    Differential calculus and nilpotent real numbers.Anders Kock - 2003 - Bulletin of Symbolic Logic 9 (2):225-230.
    Do there exist real numbers d with d2 = 0? The question is formulated provocatively, to stress a formalist view about existence: existence is consistency, or better, coherence.Also, the provocation is meant to challenge the monopoly which the number system, invented by Dedekind et al., is claiming for itself as THE model of the geometric line. The Dedekind approach may be termed “arithmetization of geometry”.We know that one may construct a number system out of synthetic geometry, as Euclid and followers (...)
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  47.  23
    Dirac Theory in Hydrodynamic Form.Luca Fabbri - 2023 - Foundations of Physics 53 (3):1-16.
    We consider quantum mechanics written in hydrodynamic formulation for the case of relativistic spinor fields to study their velocity: within such a hydrodynamic formulation it is possible to see that the velocity as is usually defined can not actually represent the tangent vector to the trajectories of particles. We propose an alternative definition for this tangent vector and hence for the trajectories of particles, which we believe to be new and the only one possible. We discuss how these (...)
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  48.  10
    L'échapée belle: de l'art de la ruse, de l'esquive et de la repartie.Sébastien Allali - 2017 - Paris: Éditions Glyphe.
    L'échapper belle signifie "se sortir de justesse d'une situation délicate". Cependant, prise au pied de la lettre, l'expression pourrait signifier "s'extraire d'une impasse d'une belle façon". Il s'agirait alors de la capacité à trouver des façons efficaces et élégantes d'échapper à des situations épineuses. Si l'échappée peut évoquer la fuite, voire la lâcheté, l'échappée belle relève du courage et du panache. Quelle sagesse recèle cette capacité à prendre la tangente en mariant le cran et le style? Comment rendre l'échappée belle? (...)
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  49.  17
    Brianchon and Poncelet’s joint memoir, the nine-point circle, and beyond.Andrea Del Centina - 2022 - Archive for History of Exact Sciences 76 (4):363-390.
    In this paper, we give a thorough account of Brianchon and Poncelet’s joint memoir on equilateral hyperbolas subject to four given conditions, focusing on the most significant theorems expounded therein, and the determination of the “nine-point circle”. We also discuss about the origin of this very rare example of collaborative work for the time, and the general challenge of finding the nature of the loci described by the centres of the conic sections required to pass through m points and to (...)
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  50.  16
    Time and Reality in the Thought of Henri Bergson.Mirko Di Bernardo - 2015 - In Flavia Santoianni, The Concept of Time in Early Twentieth-Century Philosophy: A Philosophical Thematic Atlas. Cham: Springer Verlag.
    This chapter discusses the problem of time in the thought of Bergson, showing how the evolution of the concept of duration is conducive to new developments in the philosophy of intuition. Duration, which in the Essay connotes the experience of a non-measurable lived experience, while in Matter and Memory it assumes rhythms of different intensities to justify the relationship between perception and memory, as well as in Creative Evolution is judged as the fabric of reality itself, in Duration and Simultaneity (...)
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