Results for 'Rigid Body'

967 found
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  1. (1 other version)List of Contents: Vol. 12, No. 6, December 1999.S. Esposito, Rigid Body & P. K. Anastasovski - 2000 - Foundations of Physics 30 (2).
  2. Rigid Body Motion in Special Relativity.Jerrold Franklin - 2013 - Foundations of Physics 43 (12):1489-1501.
    We study the acceleration and collisions of rigid bodies in special relativity. After a brief historical review, we give a physical definition of the term ‘rigid body’ in relativistic straight line motion. We show that the definition of ‘rigid body’ in relativity differs from the usual classical definition, so there is no difficulty in dealing with rigid bodies in relativistic motion. We then describe The motion of a rigid body undergoing constant acceleration (...)
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  3.  11
    Qualitative rigid-body mechanics.Thomas F. Stahovich, Randall Davis & Howard Shrobe - 2000 - Artificial Intelligence 119 (1-2):19-60.
  4.  21
    Rigid body translations at grain boundaries.P. H. Pumphrey, T. F. Malis & H. Gleiter - 1976 - Philosophical Magazine 34 (2):227-233.
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  5.  29
    A Retrocausal Interpretation of Classical Collision Between Rigid Bodies.Chunghyoung Lee - 2020 - Foundations of Science 25 (3):559-571.
    When two bodies collide with each other, they change their motion. Many physics textbooks explain that the change in motion is caused by the force or impulse exerted on the body during the collision. This is not the whole story, I argue, in case the bodies are rigid. In this case, the change in motion cannot be causally explained solely by how the bodies are configured before and during the collision but instead should be explained partly by what (...)
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  6. Lorentz contraction, Bell’s spaceships and rigid body motion in special relativity.Jerrold Franklin - 2010 - European Journal of Physics 31:291-298.
    The meaning of Lorentz contraction in special relativity and its connection with Bell’s spaceships parable is discussed. The motion of Bell’s spaceships is then compared with the accelerated motion of a rigid body. We have tried to write this in a simple form that could be used to correct students’ misconceptions due to conflicting earlier treatments.
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  7.  12
    Newtons Problems with Rigid Body Dynamics in the Light of his Treatment of the Precession of the Equinoxes.Geoffrey J. Dobson - 1998 - Archive for History of Exact Sciences 53 (2):125-145.
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  8.  38
    Undeformable Bodies that are Not Rigid Bodies: A Philosophical Journey Through Some (Unexpected) Supertasks.Jon Pérez Laraudogoitia - 2022 - Axiomathes 32 (4):605-625.
    There is broad consensus (both scientific and philosophical) as to what a rigid body is in classical mechanics. The idea is that a rigid body is an undeformable body (in such a way that all undeformable bodies are rigid bodies). In this paper I show that, if this identification is accepted, there are therefore rigid bodies which are unstable. Instability here means that the evolution of certain rigid bodies, even when isolated from (...)
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  9.  27
    Periodic contact between piezoelectric materials and a rigid body with a wavy surface.Yue-Ting Zhou & Tae-Won Kim - 2015 - Philosophical Magazine 95 (2):167-185.
  10. Globally Convergent Adaptive Tracking of Angular Velocity for a 3 DOF Rigid Body Without Inertia Modeling.Nalin A. Chaturvedi, Amit K. Sanyal, Dennis S. Bernstein, Jasim Ahmed, Fabio Bacconi & Harris McClamroch - 2005 - Complexity 15:16.
     
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  11.  35
    XI. On the Free Rotation of a Rigid Body.F. Guthrie - 1879 - Transactions of the Royal Society of South Africa 2 (2):79-85.
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  12.  16
    Research on Body Type Correction of FINA Diving Difficulty Coefficient Based on Rigid Body System.Su Zhang, Wen Xiang & Guozhong Zou - 2021 - Complexity 2021:1-11.
    In order to reduce the influence of athlete’s body shape on the difficulty coefficient of diving, a more reasonable calculation method of body shape correction coefficient is proposed based on the original calculation rules of diving difficulty coefficient. First, the composition of the original diving difficulty coefficient and influencing factors is analyzed and the relationship between the various structural parts is fully clarified. Second, a coupled nonrigid body dynamics model is established and a 2-body model is (...)
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  13.  29
    Rigidity, instability and dimensionality.Jon Pérez Laraudogoitia - 2018 - Synthese 195 (9):4047-4062.
    The paper takes a detailed look at a surprising new aspect of the dynamics of rigid bodies. Far from the usual consideration of rigid body theory as a merely technical chapter of classical physics, I demonstrate here that there are solutions to the conservation equations of mechanics that imply the spontaneous, unpredictable splitting of a rigid body in free rotation, something that has direct implications for the problem of causality. The paper also shows that the (...)
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  14.  62
    (1 other version)Conceivability, rigidity and counterpossibles.Jesper Kallestrup & Duncan Pritchard - 2009 - Synthese 171 (3):357-358.
    Wright (In Gendler and Hawthorne (Eds.), Conceivability and possibility, 2002) rejects some dominant responses to Kripke’s modal argument against the mind-body identity theory, and instead he proposes a new response that draws on a certain understanding of counterpossibles. This paper offers some defensive remarks on behalf of Lewis’ objection to that argument, and it argues that Wright’s proposal fails to fully accommodate the conceivability intuitions, and that it is dialectically ineffective.
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  15.  55
    On the Mössbauer Effect and the Rigid Recoil Question.Mark Davidson - 2017 - Foundations of Physics 47 (3):327-354.
    The rigid recoil of a crystal is the accepted mechanism for the Mössbauer effect. It’s at odds with the special theory of relativity which does not allow perfectly rigid bodies. The standard model of particle physics which includes QED should not allow any signals to be transmitted faster than the speed of light. If perturbation theory can be used, then the X-ray emitted in a Mössbauer decay must come from a single nuclear decay vertex at which the 4-momentum (...)
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  16.  43
    Body-as-Subject in the Four-Hand Illusion.Caleb Liang, Yen-Tung Lee, Wen-Yeo Chen & Hsu-Chia Huang - 2018 - Frontiers in Psychology 9 (1710):1-9.
    In a recent study (Chen et al., 2018), we conducted a series of experiments that induced the “four-hand illusion”: using a head-mounted display (HMD), the participant adopted the experimenter’s first-person perspective (1PP) as if it was his/her own 1PP. The participant saw four hands via the HMD: the experimenter’s two hands from the adopted 1PP and the subject’s own two hands from the adopted third-person perspective (3PP). In the active four-hand condition, the participant tapped his/her index fingers, imitated by the (...)
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  17. Webster, A. G. - The Dynamics Of Particles And Of Rigid, Elastic, And Fluid Bodies. Lectures On Mathematical Physics. [REVIEW]V. Tonini - 1960 - Scientia 54 (95):167.
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  18.  16
    Bodies out of control: Relapse and worsening of eating disorders in pregnancy.Bente Sommerfeldt, Finn Skårderud, Ingela Lundin Kvalem, Kjersti S. Gulliksen & Arne Holte - 2022 - Frontiers in Psychology 13.
    BackgroundBeing pregnant is a vulnerable period for women with a history of eating disorders. A central issue in eating disorders is searching control of one’s body and food preferences. Pregnancy implies being increasingly out of control of this. Treatment and targeted prevention start with the patient’s experience. Little is known about how women with a history of eating disorder experience being pregnant.MethodWe interviewed 24 women with a history of eating disorder at the time of pregnancy, recruited from five public (...)
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  19.  76
    Bodies and eternity: Nietzsche’s relation to the feminine.Katrin Froese - 2000 - Philosophy and Social Criticism 26 (1):25-49.
    In this article, I argue that Nietzsche collapses the rigid dichotomy between nature and culture, as well as body and mind, by insisting on their mutually constitutive nature. This forces him to reconceptualize the role of women, who had traditionally been considered to be wedded to both the natural realm and the body. Nietzsche hails women for their insight that culture can never capture nature, and for being attuned to the interplay between the two realms. He attributes (...)
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  20. Kripke and the mind-body problem.Dale Jacquette - 1987 - Dialectica 41 (4):293-300.
    SummaryMind‐body identity theories are standardly supposed to be logically contingent. Kripke defends a quasi‐Cartesian property dualism by observing that bodies and minds or mental and neurophysiological events or event‐types can always be assigned distinct rigid designators. The concept of rigid designation implies that possibly nonidentical rigidly designated bodies and minds are necessarily and therefore actually nonidentical. But Kripke's argument does not refute materialist reductions that affirm the actual identity of minds and bodies while admitting only the possible (...)
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  21. The Body and the Experience of Presence.Joerg Fingerhut - 2012 - In Jörg Fingerhut & Sabine Marienberg (eds.), Feelings of Being Alive. De Gruyter. pp. 8--167.
    We experience our encounters with the world and others in different degrees of intensity – the presence of things and others is gradual. I introduce this kind of presence as a ubiquitous feature of every phenomenally conscious experience, as well as a key ingredient of our ‘feeling of being alive’, and distinguish explanatory agendas that might be relevant with regard to this phenomenon (1 – 3). My focus will be the role of the body-brain nexus in realizing these experiences (...)
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  22.  39
    The Paradoxical Home and Body in Jennifer Johnston’s The Christmas Tree (1981).Jennifer A. Slivka - 2023 - Journal of Medical Humanities 44 (1):91-105.
    Jennifer Johnston’s fiction presents the conditions of Irish culture and society by exploring the separations between interior and exterior realms and past and present temporalities persisting within the insulating privacy of the familial home space. In _The Christmas Tree_ (1981), the home is both haven and prison for Johnston’s heroine. In this paper, I argue that the home—which assumes the form of the individual body and the familial home—is paradoxical. The protagonist leaves 1950s Ireland because of the country’s (...) gender roles in order to pursue an autonomous life as a writer in England, but she is unable to publish her writing within the confines of the patriarchal publishing world. The home of her body becomes paradoxical when she becomes a single mother as an avenue for creativity but is then diagnosed with terminal cancer. She returns to her father’s home to die, which she re-orders and reclaims through the disorder of the uncanny—represented by her non-conformity and illness brought into the patriarchal home. By writing her life story and creating a brief, alternative maternal relationship with her young caretaker, the protagonist confronts her own ambivalence toward her parents, who also represent aspects of oppressive heteronormative gender expectations. (shrink)
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  23.  8
    Psychic treats and somatic shelters: attuning to the body in contemporary psychoanalytic dialogue.Nitza Yarom - 2015 - New York: Routledge, Taylor & Francis Group.
    There is increasing recognition within psychoanalysis and related therapies that awareness of the body is important in understanding and treating patients. Psychic Threats and Somatic Shelters explores the ways in which adults and children become acquainted with the range of physical issues that arise within their psychoanalytic or psychological treatments. Nitza Yarom discusses in a practical and clinically focused way the large variety of physical outlets which today's person uses to shelter from the many troubles and restrictions that are (...)
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  24.  55
    Physical Relativity: Space-Time Structure From a Dynamical Perspective.Harvey R. Brown - 2005 - Oxford, GB: Oxford University Press UK.
    Physical Relativity explores the nature of the distinction at the heart of Einstein's 1905 formulation of his special theory of relativity: that between kinematics and dynamics. Einstein himself became increasingly uncomfortable with this distinction, and with the limitations of what he called the 'principle theory' approach inspired by the logic of thermodynamics. A handful of physicists and philosophers have over the last century likewise expressed doubts about Einstein's treatment of the relativistic behaviour of rigid bodies and clocks in motion (...)
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  25.  5
    The Human Body as a Construct in Pedro Almodóvar’s La Ley del Deseo (1987) and La Piel que Habito (2011).Eric Sandberg & Maren Scheurer (eds.) - 2014 - Leiden Netherlands: BRILL.
    This chapter explores the representation of the human body, with a particular focus on transgenesis and transgenderism, in Pedro Almodóvar’s La Ley del Deseo (Law of Desire) (1987) and La Piel que Habito (The Skin I Live In) (2011). Although released 24 years apart, both films represent the female body as a construct that mirrors the fluid reality of the postmodern era in which this body is found. Thus, as the physical space of our global habitat has (...)
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  26.  28
    “Bodies can be compelled; minds must be turned, since they cannot be compelled”: Preaching as an “Introduction” to Law in the Ecclesiastes of Erasmus of Rotterdam.Dawid Nowakowski - 2021 - Acta Universitatis Lodziensis. Folia Philosophica. Ethica-Aesthetica-Practica 38:101-113.
    The recent studies on the relations between humanism or humanists and jurisprudence convince that Reneaissance, especially in XVIth century, when the national states began to raise, belonged to the periods of increased interest in the issue of law. Although Erasmus was not a layer, nor he introduced in any of his works a complete theory of law, he maintained close relations with many leading theoreticians of the law and jurists and sometimes spoke in the legal discussions of his age. Among (...)
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  27. (1 other version)Introduction: The Arts and Sciences of the Situated Body.Shaun Gallagher - 2006 - Janus Head 9 (2):1-.
    This special issue of Janus Head explores a number of disciplinary and interdisciplinary dimensions of the theme, the situated body. The body, of course, is always situated in so far as it is a living and experiencing body. Being situated in this sense is different from simply being located someplace in the way a non-living, non-experiencing object is located. That the body is always situated involves certain kinds of physical and social interactions, and it means that (...)
     
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  28.  15
    Postmodern Concepts of the Body in Jeanette Winterson's Written on the Body.Antje Lindenmeyer - 1999 - Feminist Review 63 (1):48-63.
    This article is concerned with Jeanette Winterson's use and reworking of post-modern concepts of the body in her novel Written on the Body. Feminist appropriations of those concepts can be problematic: they tend to focus on the way in which a coherent body image is constructed and then imposed on the body parts, whereas many feminist theorists continue to emphasize the wholeness and integrity of the female body. Written on the Body offers constructive ways (...)
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  29.  27
    Dining Posture in Ancient Rome: Bodies, Values, and Status (review).Jeremy Rossiter - 2007 - American Journal of Philology 128 (4):596-599.
    In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Dining Posture in Ancient Rome: Bodies, Values, and StatusJeremy RossiterMatthew B. Roller. Dining Posture in Ancient Rome: Bodies, Values, and Status. Princeton: Princeton University Press, 2006. xvi + 219 pp. 8 color plates. 18 black-and-white figs. Cloth, $39.50.As the author of this volume is quick to point out, a book-length study focusing solely on how the Romans sat, or reclined, at table might not seem like the most (...)
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  30.  7
    Kripke's Argument for Mind–Body Property Dualism.Dale Jacquette - 2011 - In Michael Bruce & Steven Barbone (eds.), Just the Arguments. Chichester, West Sussex, U.K.: Wiley‐Blackwell. pp. 301–303.
  31.  20
    Administration of Perception: Observing and Transcribing Dead Bodies in the Forensic Methodology of Qing China (1644–1912). [REVIEW]Xin-zhe Xie - 2023 - Isis 114 (1):99-122.
    This essay examines the ways in which dead bodies were transformed by traditional Chinese forensic methodology into objects of postmortem examination during the Qing dynasty. The Qing authorities implemented various devices to standardize not only the forensic examination as an administrative procedure but also the cognitive activities involved, such as corpse observation, wound interpretation, and transcription. The essay argues that these devices, such as the official forensic manual, formalized documents, and strict norms of documenting, were constituents of a specific pattern (...)
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  32. Reconfiguring Gender with John Dewey: Habit, Bodies, and Cultural Change.Shannon Sullivan - 2000 - Hypatia 15 (1):23-42.
    This paper demonstrates how John Dewey's notion of habit can help us understand gender as a constitutive structure of bodily existence. Bringing Dewey's pragmatism in conjunction with Judith Butler's concept of performativity, 1 provide an account of how rigid binary configurations of gender might be transformed at the level of both individual habit and cultural construct.
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  33. On symplectic reduction in classical mechanics.Jeremy Butterfield - 2006 - In J. Butterfield & J. Earman (eds.), Handbook of the philosophy of physics. Kluwer Academic Publishers. pp. 1–131.
    This paper expounds the modern theory of symplectic reduction in finite-dimensional Hamiltonian mechanics. This theory generalizes the well-known connection between continuous symmetries and conserved quantities, i.e. Noether's theorem. It also illustrates one of mechanics' grand themes: exploiting a symmetry so as to reduce the number of variables needed to treat a problem. The exposition emphasises how the theory provides insights about the rotation group and the rigid body. The theory's device of quotienting a state space also casts light (...)
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  34.  58
    The origins of length contraction: I. The Fitzgerald-lorentz deformation hypothesis.Harvey R. Brown - 2001 - American Journal of Physics 69:1044-1054.
    One of the widespread confusions concerning the history of the 1887 Michelson-Morley experiment has to do with the initial explanation of this celebrated null result due independently to FitzGerald and Lorentz. In neither case was a strict, longitudinal length contraction hypothesis invoked, as is commonly supposed. Lorentz postulated, particularly in 1895, any one of a certain family of possible deformation effects for rigid bodies in motion, including purely transverse alteration, and expansion as well as contraction; FitzGerald may well have (...)
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  35.  46
    The Foundations of Geometry and the Concept of Motion: Helmholtz and Poincaré.Gerhard Heinzmann - 2001 - Science in Context 14 (3):457-470.
    ArgumentAccording to Hermann von Helmholtz, free mobility of bodies seemed to be an essential condition of geometry. This free mobility can be interpreted either as matter of fact, as a convention, or as a precondition making measurements in geometry possible. Since Henri Poincaré defined conventions as principles guided by experience, the question arises in which sense experiential data can serve as the basis for the constitution of geometry. Helmholtz considered muscular activity to be the basis on which the form of (...)
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  36.  44
    Particles, fields, and the measurement of electron spin.Charles T. Sebens - 2020 - Synthese 198 (12):11943-11975.
    This article compares treatments of the Stern–Gerlach experiment across different physical theories, building up to a novel analysis of electron spin measurement in the context of classical Dirac field theory. Modeling the electron as a classical rigid body or point particle, we can explain why the entire electron is always found at just one location on the detector but we cannot explain why there are only two locations where the electron is ever found. Using non-relativistic or relativistic quantum (...)
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  37.  37
    Some surprising instabilities in idealized dynamical systems.Jon Pérez Laraudogoitia - 2020 - Synthese 197 (7):3007-3026.
    This paper shows that, in Newtonian mechanics, unstable three-dimensional rigid bodies must exist. Laraudogoitia recently provided examples of one- and two-dimensional homogeneous unstable rigid bodies, conjecturing the instability would persist for three-dimensional bodies in four-dimensional space. My result proves that, if one admits non homogeneous balls or hollow spheres, then the conjecture is true without having to resort to tetra-dimensionality. Furthermore, I show that instability also holds for at least certain simple classes of elastic bodies. Altogether, the laws (...)
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  38.  16
    Whittaker’s analytical dynamics: a biography.S. C. Coutinho - 2014 - Archive for History of Exact Sciences 68 (3):355-407.
    Originally published in 1904, Whittaker’s A Treatise on the Analytical Dynamics of Particles and Rigid Bodies soon became a classic of the subject and has remained in print for most of these 108 years. In this paper, we follow the book as it develops from a report that Whittaker wrote for the British Society for the Advancement of Science to its influence on Dirac’s version of quantum mechanics in the 1920s and beyond.
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  39.  3
    From Fine-Grain to Coarse-Grain Modeling: Estimating Kinetic Parameters of DNA Molecules.Jeremy Curuksu - 2024 - Acta Biotheoretica 72 (4):1-16.
    Coarse-grain models are essential to understand the biological function of DNA molecules because the length and time scales of the sequence-dependent physical properties of DNA are often beyond the reach of experimental and all-atom computational methods. Simulating coarse-grain models of DNA, e.g. using Langevin dynamics, requires the parametrization of both potential and kinetic energy functions. Many studies have shown that the flexibility (i.e., potential energy) of a DNA molecule depends on its sequence. In contrast, little is known about the sequence-dependence (...)
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  40.  60
    A simple and interesting classical mechanical supertask.Jon Pérez Laraudogoitia - 2017 - Synthese 194 (2).
    This paper presents three interesting consequences that follow from admitting an ontology of rigid bodies in classical mechanics. First, it shows that some of the most characteristic properties of supertasks based on binary collisions between particles, such as the possibility of indeterminism or the non-conservation of energy, persist in the presence of gravitational interaction. This makes them gravitational supertasks radically different from those that have appeared in the literature to date. Second, Sect. 6 proves that the role of gravitation (...)
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  41.  8
    Mean Shift Fusion Color Histogram Algorithm for Nonrigid Complex Target Tracking in Sports Video.Yu Liu & Xiaoyan Wang - 2021 - Complexity 2021:1-11.
    We analyze and study the tracking of nonrigid complex targets of sports video based on mean shift fusion color histogram algorithm. A simple and controllable 3D template generation method based on monocular video sequences is constructed, which is used as a preprocessing stage of dynamic target 3D reconstruction algorithm to achieve the construction of templates for a variety of complex objects, such as human faces and human hands, broadening the use of the reconstruction method. This stage requires video sequences of (...)
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  42.  18
    Equivalence Between Self-energy and Self-mass in Classical Electron Model.M. Kh Khokonov & J. U. Andersen - 2019 - Foundations of Physics 49 (7):750-782.
    A cornerstone of physics, Maxwell‘s theory of electromagnetism, apparently contains a fatal flaw. The standard expressions for the electromagnetic field energy and the self-mass of an electron of finite extension do not obey Einstein‘s famous equation, \, but instead fulfill this relation with a factor 4/3 on the left-hand side. Furthermore, the energy and momentum of the electromagnetic field associated with the charge fail to transform as a four-vector. Many famous physicists have contributed to the debate of this so-called 4/3-problem (...)
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  43.  87
    Standing Waves in the Lorentz-Covariant World.Y. S. Kim & Marilyn E. Noz - 2005 - Foundations of Physics 35 (7):1289-1305.
    When Einstein formulated his special relativity, he developed his dynamics for point particles. Of course, many valiant efforts have been made to extend his relativity to rigid bodies, but this subject is forgotten in history. This is largely because of the emergence of quantum mechanics with wave-particle duality. Instead of Lorentz-boosting rigid bodies, we now boost waves and have to deal with Lorentz transformations of waves. We now have some nderstanding of plane waves or running waves in the (...)
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  44.  26
    Consistency and Variation in Reasoning About Physical Assembly.William P. McCarthy, David Kirsh & Judith E. Fan - 2023 - Cognitive Science 47 (12):e13397.
    The ability to reason about how things were made is a pervasive aspect of how humans make sense of physical objects. Such reasoning is useful for a range of everyday tasks, from assembling a piece of furniture to making a sandwich and knitting a sweater. What enables people to reason in this way even about novel objects, and how do people draw upon prior experience with an object to continually refine their understanding of how to create it? To explore these (...)
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  45.  94
    Laws of science, theories, measurement: (Comments on Ernest Nagel's the structure of science).Leszek Nowak - 1972 - Philosophy of Science 39 (4):533-548.
    The problem of idealization in empirical sciences is very rarely taken up in works concerned with the methodology of those sciences. It seems to be common knowledge that in advanced natural sciences references are made to concepts such as “perfectly rigid body,” “material point,” “perfect gas,” etc., but it remains a fact that the most important methodological concepts, concepts which have determined the present-day form of the philosophy of science, have been advanced without regard to the peculiarities of (...)
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  46.  25
    A kinematical model for quarks and hadrons.L. C. Biedenharn, R. Y. Cusson, M. Y. Han & J. D. Louck - 1972 - Foundations of Physics 2 (2-3):149-159.
    Starting from simple topological arguments due to Dirac on the classical rotational properties of extended rigid bodies, we abstract the concept of a finite-size spinor (FSS). The FSS is a concept distinct from both point spinors (e.g., electrons) and composite spinors (e.g., nuclei), and suggests a new model for baryons. The FSS offers a natural explanation of “threeness” for the quarks, excludes the existence of free quarks, denies the operational definition of quark spin statistics, and, moreover, leads to the (...)
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  47.  16
    Engineering Dynamics: A Comprehensive Introduction.N. Jeremy Kasdin & Derek A. Paley - 2011 - Princeton University Press.
    Engineering Dynamics spans the full range of mechanics problems, from one-dimensional particle kinematics to three-dimensional rigid-body dynamics, including an introduction to Lagrange's and Kane's methods. It skillfully blends an easy-to-read, conversational style with careful attention to the physics and mathematics of engineering dynamics, and emphasizes the formal systematic notation students need to solve problems correctly and succeed in more advanced courses.
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  48.  42
    (1 other version)Collision of Traditions. The Emergence of Logical Empiricism Between the Riemannian and Helmholtzian Traditions.Marco Giovanelli - 2013 - .
    This paper attempts to explain the emergence of the logical empiricist philosophy of space and time as a collision of mathematical traditions. The historical development of the ``Riemannian'' and ``Helmholtzian'' traditions in 19th century mathematics is investigated. Whereas Helmholtz's insistence on rigid bodies in geometry was developed group theoretically by Lie and philosophically by Poincaré, Riemann's Habilitationsvotrag triggered Christoffel's and Lipschitz's work on quadratic differential forms, paving the way to Ricci's absolute differential calculus. The transition from special to general (...)
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  49.  48
    Kant, Riemann, and Reichenbach on Space and Geometry.William L. Harper - 1995 - Proceedings of the Eighth International Kant Congress 1:423-454.
    Classic examples of ostensive geometrical constructions are used to clarify Kant’s account of how they provide knowledge of claims about rigid bodies we can observe and manipulate. It is argued that on Kant’s account claims warranted by ostensive constructions must be limited to scales and tolerances corresponding to our perceptual competencies. This limitation opens the way to view Riemann’s work as contributing valuable conceptual resources for extending geometrical knowledge beyond the bounds of observation. It is argued that neither Reichenbach’s (...)
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  50.  10
    Problems of Atomic Dynamics.Max Born - 1970 - MIT Press.
    In 1925-26, the late Max Born gave two sets of lectures at M.I.T., one on the structure of the atom, the other on the lattice theory of rigid bodies. Problems of Atomic Dynamics contains the text of both sets.What gives this volume its remarkable interest is just those dates: 1925-26. This must have been, by all accounts, the headiest period in twentieth-century physics, and Max Born was one of the leaders of the ferment. As Norbert Wiener remembers, "When Professor (...)
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