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  1. On Spacetime Functionalism.David John Baker - manuscript
    Eleanor Knox has argued that our concept of spacetime applies to whichever structure plays a certain functional role in the laws (the role of determining local inertial structure). I raise two complications for this approach. First, our spacetime concept seems to have the structure of a cluster concept, which means that Knox's inertial criteria for spacetime cannot succeed with complete generality. Second, the notion of metaphysical fundamentality may feature in the spacetime concept, in which case spacetime functionalism may be uninformative (...)
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  2. Can Magnetic Forces Do Work?Jacob Barandes - manuscript
    Standard lore holds that magnetic forces are incapable of doing mechanical work. More precisely, the claim is that whenever it appears that a magnetic force is doing work, the work is actually being done by another force, with the magnetic force serving only as an indirect mediator. On the other hand, the most familiar instances of magnetic forces acting in everyday life—bar magnets lifting other bar magnets—appear to present manifest evidence of magnetic forces doing work. These sorts of counterexamples are (...)
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  3. Manifestly Covariant Lagrangians, Classical Particles with Spin, and the Origins of Gauge Invariance.Jacob Barandes - manuscript
    In this paper, we review a general technique for converting the standard Lagrangian description of a classical system into a formulation that puts time on an equal footing with the system's degrees of freedom. We show how the resulting framework anticipates key features of special relativity, including the signature of the Minkowski metric tensor and the special role played by theories that are invariant under a generalized notion of Lorentz transformations. We then use this technique to revisit a classification of (...)
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  4. On Magnetic Forces and Work.Jacob Barandes - manuscript
    We address a long-standing debate over whether classical magnetic forces can do work, ultimately answering the question in the affirmative. In detail, we couple a classical particle with intrinsic spin and elementary dipole moments to the electromagnetic field, derive the appropriate generalization of the Lorentz force law, show that the particle's dipole moments must be collinear with its spin axis, and argue that the magnetic field does mechanical work on the particle's elementary magnetic dipole moment. As consistency checks, we calculate (...)
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  5. What is Wrong with Ceteris-Paribus Law-Statements?Danny Frederick - manuscript
    It is often contended that the special sciences, and even fundamental physics, make use of ceteris-paribus law-statements. Yet there are general concerns that such law-statements are vacuous or untestable or unscientific. I consider two main kinds of ceteris-paribus law-statement. I argue that neither kind is vacuous, that one of the kinds is untestable, that both kinds may count as scientific to the extent that they form parts of conjunctions that imply novel falsifiable statements which survive testing, but that one kind (...)
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  6. Classical Distinguishability and the Gibbs-Liouville Theorem.Andreas Henriksson - manuscript
    It is shown that the theory of classical mechanics can be built from the concept of distinguishability between pairs of classical states. The non-ignorant observer can, with infinite precision, distinguish between arbitrary pairs. Either they are identical, or they are distinct. The distinguishability is postulated to be conserved in time for closed systems. The mathematical representation of this postulate is shown to be given by the Gibbs-Liouville theorem. Alternative statements of this theorem are given. In particular, Hamilton's principle is derived (...)
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  7. The Metaphysics of Invariance.David Schroeren - manuscript
    Fundamental physics contains an important link between properties of elementary particles and continuous symmetries of particle systems. For example, properties such as mass and spin are said to be 'associated' with specific continuous symmetries. -/- These 'associations' have played a key role in the discovery of various new particle kinds, but more importantly: they are thought to provide a deep insight into the nature of physical reality. The link between properties and symmetries has been said to call for a radical (...)
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  8. Controversa dintre Isaac Newton și Robert Hooke despre prioritatea în legea gravitației.Nicolae Sfetcu - manuscript
    Una din cele mai disputate controverse privind prioritatea unor descoperiri științifice este cea privind legea gravitației universale, între Isaac Newton și Robert Hooke. În acest eseu extind o lucrare mai veche pe aceeași temă, ”Isaac Newton vs. Robert Hooke în legea gravitației universale”. Hooke l-a acuzat pe Newton de plagiat, preluându-i ideile exprimate în lucrările anterioare. În această lucrare încerc să arăt, pe baza unor analize anterioare, că ambii oameni de știință au greșit: Robert Hooke pentru că teoria sa nu (...)
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  9. Isaac Newton despre acțiunea la distanță în gravitație - Cu sau fără Dumnezeu?Nicolae Sfetcu - manuscript
    Interpretarea textelor lui Isaac Newton a suscitat numeroase controverse, până în zilele noastre. Una din cele mai aprinse dezbateri este legată de acțiunea între două corpuri aflate la distanță unul de celălalt (atracția gravitațională), și în ce măsură Newton a implicat pe Dumnezeu în acest caz. Practic, majoritatea lucrărilor discută patru tipuri de atracții gravitaționale în cazul corpurilor aflate la distanță: acțiunea la distanță directă ca proprietate intrinsecă a corpurilor în sens epicurian; acțiunea la distanță directă mediată divin, de Dumnezeu; (...)
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  10. Summaries of Periodicals.Ortsbezeichnnng im Altlateinischen, Anfdnge der Christlichen Kultur, Abfassungszeit von Senekas Briefen & Staate der Athener - unknown - American Journal of Philology 27 (1).
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  11. Summaries of Periodicals.Berliner Philologische Wochenschrift - unknown - American Journal of Philology 32 (1911).
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  12. Summaries of Periodicals.Classical Philology Xv - unknown - American Journal of Philology 41 (4).
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  13. Bridging Conceptual Gaps: The Kolmogorov-Sinai Entropy.Massimiliano Badino - forthcoming - Isonomía. Revista de Teoría y Filosofía Del Derecho.
    The Kolmogorov-Sinai entropy is a fairly exotic mathematical concept which has recently aroused some interest on the philosophers’ part. The most salient trait of this concept is its working as a junction between such diverse ambits as statistical mechanics, information theory and algorithm theory. In this paper I argue that, in order to understand this very special feature of the Kolmogorov-Sinai entropy, is essential to reconstruct its genealogy. Somewhat surprisingly, this story takes us as far back as the beginning of (...)
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  14. The Role of Imagination in Ernst Mach’s Philosophy of Science: A Biologico-Economical View.Char Brecevic - forthcoming - Hopos: The Journal of the International Society for the History of Philosophy of Science:000-000.
  15. Newtonian Mechanics and its Philosophical Significance.Ryan Samaroo - forthcoming - In Eleanor Knox & A. Wilson (eds.), Routledge Companion to the Philosophy of Physics. London, UK: Routledge.
    Newtonian mechanics is more than just an empirically successful theory of matter in motion: it is an account of what knowledge of the physical world should look like. But what is this account? What is distinctive about it? To answer these questions, I begin by introducing the laws of motion, the relations among them, and the spatio-temporal framework that is implicit in them. Then I turn to the question of their methodological character. This has been the locus of philosophical discussion (...)
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  16. On the Ostrogradski Instability; or, Why Physics Really Uses Second Derivatives.Noel Swanson - forthcoming - British Journal for the Philosophy of Science:axz042.
    Candidates for fundamental physical laws rarely, if ever, employ higher than second time derivatives. Easwaran sketches an enticing story that purports to explain away this puzzling fact and thereby provides indirect evidence for a particular set of metaphysical theses used in the explanation. I object to both the scope and coherence of Easwaran's account, before going on to defend an alternative, more metaphysically deflationary explanation: in interacting Lagrangian field theories, it is either impossible or very hard to incorporate higher than (...)
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  17. Gauge Invariance for Classical Massless Particles with Spin.Jacob A. Barandes - 2021 - Foundations of Physics 51 (1):1-14.
    Wigner’s quantum-mechanical classification of particle-types in terms of irreducible representations of the Poincaré group has a classical analogue, which we extend in this paper. We study the compactness properties of the resulting phase spaces at fixed energy, and show that in order for a classical massless particle to be physically sensible, its phase space must feature a classical-particle counterpart of electromagnetic gauge invariance. By examining the connection between massless and massive particles in the massless limit, we also derive a classical-particle (...)
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  18. Motion to the Center or Motion to the Whole? Plutarch’s Views on Gravity and Their Influence on Galileo.Frederik Bakker & Carla Rita Palmerino - 2020 - Isis 111 (2):217-238.
    While it is well known that Plutarch’s De facie in orbe lunae was a major source of inspiration for Galileo’s Sidereus nuncius, its influence on his Dialogo sopra i due massimi sistemi del mondo, and especially on his views on gravity, has not been sufficiently explored. This essay offers the first systematic comparison of Plutarch’s and Galileo’s accounts of gravity by focusing on four themes: the thought experiment of a stone falling in a tunnel passing through the center of the (...)
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  19. Uma Análise do Argumento a Favor do Princípio da Relatividade.Ricardo Tavares Da Silva - 2020 - In The Insides of Nature: Causality and Conceptions of Nature. Braga, Portugal: pp. 125-158.
    According to the principle of special relativity, the laws of nature are the same for systems at rest and for systems in uniform and rectilinear motion: for the formulation of the laws of nature, the body C and the body C´, which, relative to the former, is in uniform and rectilinear motion, are equivalent. Galileo, in the Dialogue on the Two Greatest Systems of the World, developed the following argument in favor of such a principle: two bodies C and C´, (...)
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  20. Quantum Theory is Not Only About Information.Laura Felline - 2020 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 72:256-265.
    In his recent book Bananaworld. Quantum mechanics for primates, Jeff Bub revives and provides a mature version of his influential information-theoretic interpretation of Quantum Theory (QT). In this paper, I test Bub’s conjecture that QT should be interpreted as a theory about information, by examining whether his information-theoretic interpretation has the resources to explain (or explain away) quantum conundrums. The discussion of Bub’s theses will also serve to investigate, more in general, whether other approaches succeed in defending the claim that (...)
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  21. Derivation of Classical Mechanics in an Energetic Framework Via Conservation and Relativity.Philip Goyal - 2020 - Foundations of Physics 1:1-54.
    The notions of conservation and relativity lie at the heart of classical mechanics, and were critical to its early development. However, in Newton’s theory of mechanics, these symmetry principles were eclipsed by domain-specific laws. In view of the importance of symmetry principles in elucidating the structure of physical theories, it is natural to ask to what extent conservation and relativity determine the structure of mechanics. In this paper, we address this question by deriving classical mechanics—both nonrelativistic and relativistic—using relativity and (...)
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  22. The Principle of Equivalence as a Criterion of Identity.Ryan Samaroo - 2020 - Synthese 197 (8):3481-3505.
    In 1907 Einstein had the insight that bodies in free fall do not “feel” their own weight. This has been formalized in what is called “the principle of equivalence.” The principle motivated a critical analysis of the Newtonian and special-relativistic concepts of inertia, and it was indispensable to Einstein’s development of his theory of gravitation. A great deal has been written about the principle. Nearly all of this work has focused on the content of the principle and whether it has (...)
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  23. Cause and Effect in Leibniz’s Brevis Demonstratio.Laurynas Adomaitis - 2019 - Hopos: The Journal of the International Society for the History of Philosophy of Science 9 (1):120-134.
    Leibniz’s argument against Descartes’s conservation principle in the Brevis demonstratio (1686) has traditionally been read as passing from the premise that motive force must be conserved to the conclusion that motive force is not identical to quantity of motion and, finally, that quantity of motion is not conserved. In a lesser-known draft of the same year, Christiaan Huygens claimed that Descartes had in fact never held the view that Leibniz was attacking. Huygens is right as far as the traditional reading (...)
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  24. How Dualists Should (Not) Respond to the Objection From Energy Conservation.Alin C. Cucu & J. Brian Pitts - 2019 - Mind and Matter 17 (1):95-121.
    The principle of energy conservation is widely taken to be a se- rious difficulty for interactionist dualism (whether property or sub- stance). Interactionists often have therefore tried to make it satisfy energy conservation. This paper examines several such attempts, especially including E. J. Lowe’s varying constants proposal, show- ing how they all miss their goal due to lack of engagement with the physico-mathematical roots of energy conservation physics: the first Noether theorem (that symmetries imply conservation laws), its converse (that conservation (...)
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  25. Forces in a True and Physical Sense: From Mathematical Models to Metaphysical Conclusions.Corey Dethier - 2019 - Synthese 198 (2):1109-1122.
    Wilson [Dialectica 63:525–554, 2009], Moore [Int Stud Philos Sci 26:359–380, 2012], and Massin [Br J Philos Sci 68:805–846, 2017] identify an overdetermination problem arising from the principle of composition in Newtonian physics. I argue that the principle of composition is a red herring: what’s really at issue are contrasting metaphysical views about how to interpret the science. One of these views—that real forces are to be tied to physical interactions like pushes and pulls—is a superior guide to real forces than (...)
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  26. Mechanistic Explanations in Physics and Beyond.Brigitte Falkenburg & Gregor Schiemann (eds.) - 2019 - Springer Nature.
    This volume offers a broad, philosophical discussion on mechanical explanations. Coverage ranges from historical approaches and general questions to physics and higher-level sciences. The contributors also consider the topics of complexity, emergence, and reduction. -/- Mechanistic explanations detail how certain properties of a whole stem from the causal activities of its parts. This kind of explanation is in particular employed in explanatory models of the behavior of complex systems. Often used in biology and neuroscience, mechanistic explanation models have been often (...)
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  27. Minimal Approximations and Norton’s Dome.Samuel Fletcher - 2019 - Synthese 196 (5):1749-1760.
    In this note, I apply Norton’s (Philos Sci 79(2):207–232, 2012) distinction between idealizations and approximations to argue that the epistemic and inferential advantages often taken to accrue to minimal models (Batterman in Br J Philos Sci 53:21–38, 2002) could apply equally to approximations, including “infinite” ones for which there is no consistent model. This shows that the strategy of capturing essential features through minimality extends beyond models, even though the techniques for justifying this extended strategy remain similar. As an application (...)
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  28. Indeterminism in Physics, Classical Chaos and Bohmian Mechanics.\\ Are Real Numbers Really Real?Nicolas Gisin - 2019 - Erkenntnis:1-13.
    It is usual to identify initial conditions of classical dynamical systems with mathematical real numbers. However, almost all real numbers contain an infinite amount of information. I argue that a finite volume of space can’t contain more than a finite amount of information, hence that the mathematical real numbers are not physically relevant. Moreover, a better terminology for the so-called real numbers is “random numbers”, as their series of bits are truly random. I propose an alternative classical mechanics, which is (...)
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  29. Max Plank’s Philosophy and Physics: An Introduction to The Philosophy of Physics.Michael J. Shaffer - 2019 - In The Philosophy of Physics. Montreal: Minkowski Press. pp. 1-5.
  30. Locke and Leibniz on Matter and Solidity.Idan Shimony - 2019 - In Adriano Fabris & Giovanni Scarafile (eds.), Controversies in the Contemporary World. Amsterdam/ Philadelphia: pp. 49-67.
    In this paper I analyze the virtual debate between Locke and Leibniz on solidity as proposed in Leibniz’s chapter on solidity in his New Essays on Human Understanding. I first track the oddities of the dialogue presented in the New Essays’ chapter on solidity. In this virtual dialogue, Leibniz’s representative often digresses and sometimes overlooks or misrepresents some of Locke’s most important insights. I then argue that these oddities reflect Leibniz’s sentiment that a productive controversy on this issue cannot be (...)
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  31. Celestial Chaos: The New Logics of Theory-Testing in Orbital Dynamics.Isaac Wilhelm - 2019 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 65:97-102.
    I explore how the nature, scope, and limits of the knowledge obtained in orbital dynamics has changed in recent years. Innovations in the design of spacecraft trajectories, as well as in astronomy, have led to new logics of theory-testing—that is, new research methodologies—in orbital dynamics. These methodologies—which combine resonance overlap theories, numerical experiments, and the implementation of space missions—were developed in response to the discovery of chaotic dynamical systems in our solar system. In the past few decades, they have replaced (...)
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  32. Newton's Regulae Philosophandi.Zvi Biener - 2018 - In Chris Smeenk & Eric Schliesser (eds.), Oxford Handbook of Isaac Newton. Oxford University Press.
    Newton’s Regulae philosophandi—the rules for reasoning in natural philosophy—are maxims of causal reasoning and induction. This essay reviews their significance for Newton’s method of inquiry, as well as their application to particular propositions within the Principia. Two main claims emerge. First, the rules are not only interrelated, they defend various facets of the same core idea: that nature is simple and orderly by divine decree, and that, consequently, human beings can be justified in inferring universal causes from limited phenomena, if (...)
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  33. On Classical Motion.C. D. McCoy - 2018 - Philosophers' Imprint 18.
    The impetus theory of motion states that to be in motion is to have a non-zero velocity. The at-at theory of motion states that to be in motion is to be at different places at different times, which in classical physics is naturally understood as the reduction of velocities to position developments. I first defend the at-at theory against the criticism raised by Arntzenius that it renders determinism impossible. I then develop a novel impetus theory of motion that reduces positions (...)
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  34. There Is No Conspiracy of Inertia.Ryan Samaroo - 2018 - British Journal for the Philosophy of Science 69 (4):957-982.
    I examine two claims that arise in Brown’s account of inertial motion. Brown claims there is something objectionable about the way in which the motions of free particles in Newtonian theory and special relativity are coordinated. Brown also claims that since a geodesic principle can be derived in Einsteinian gravitation, the objectionable feature is explained away. I argue that there is nothing objectionable about inertia and that while the theorems that motivate Brown’s second claim can be said to figure in (...)
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  35. Lumina - Optica fenomenologică.Nicolae Sfetcu - 2018 - Drobeta Turnu Severin, Romania: MultiMedia Publishing.
    Previzualizare carte -/- O introducere în fenomenologia opticii geometrice (reflexia, refracția, principiul lui Fermat, oglinzi, miraje, dispersia, lentile), opticii fizice (undele luminoase, principiul Huygens–Fresnel, difracția, interferența, polarizarea, vederea tridimensională, holografia), opticii cuantice (fotoni, efectul fotoelectric, dualitatea undă-particulă, principiul incertitudinii, complementaritatea) și culorilor (transparența, translucența, amestecul culorilor, culori complementare, pigmenți), în conexiune cu teoriile fundamentale ale luminii. Despre proprietățile luminii (unde electromagnetice, spectrul electromagnetic, materiale transparente și opace, umbra, sistemul vizual uman, lumina Soarelui) și emisia luminii (stări excitate, spectrele de emisie (...)
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  36. Mecanica fenomenologică.Nicolae Sfetcu - 2018 - Drobeta Turnu Severin, Romania: MultiMedia Publishing.
    Previzualizare carte -/- O privire de ansamblu asupra mecanicii clasice, care intenționează să ofere o acoperire a principiilor și tehnicilor fundamentale, un domeniu vechi dar care se află la baza întregii fizicii, și care în ultimii ani a cunoscut o dezvoltare rapidă. Se subliniază principiile de bază fenomenologice, fără a insista pe un formalism excesiv. Cartea începe cu o introducere în mecanică cu conceptele de bază, urmată de cele trei legi de mișcare ale lui Newton (inerția, forța, și acțiunea și (...)
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  37. Metaphysics of the Principle of Least Action.Vladislav Terekhovich - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 62:189-201.
    Despite the importance of the variational principles of physics, there have been relatively few attempts to consider them for a realistic framework. In addition to the old teleological question, this paper continues the recent discussion regarding the modal involvement of the principle of least action and its relations with the Humean view of the laws of nature. The reality of possible paths in the principle of least action is examined from the perspectives of the contemporary metaphysics of modality and Leibniz's (...)
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  38. Rethinking Causality in Biological and Neural Mechanisms: Constraints and Control.Jason Winning & William Bechtel - 2018 - Minds and Machines 28 (2).
    Existing accounts of mechanistic causation are not suited for understanding causation in biological and neural mechanisms because they do not have the resources to capture the unique causal structure of control heterarchies. In this paper, we provide a new account on which the causal powers of mechanisms are grounded by time-dependent, variable constraints. Constraints can also serve as a key bridge concept between the mechanistic approach to explanation and underappreciated work in theoretical biology that sheds light on how biological systems (...)
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  39. On the Viability of Galilean Relationalism.James P. Binkoski - 2017 - British Journal for the Philosophy of Science 68 (4):1183-1204.
    ABSTRACT I explore the viability of a Galilean relational theory of space-time—a theory that includes a three-place collinearity relation among its stock of basic relations. Two formal results are established. First, I prove the existence of a class of dynamically possible models of Newtonian mechanics in which collinearity is uninstantiated. Second, I prove that the dynamical properties of Newtonian systems fail to supervene on their Galilean relations. On the basis of these two results, I argue that Galilean relational space-time is (...)
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  40. The Frame of Fixed Stars in Relational Mechanics.Rafael Ferraro - 2017 - Foundations of Physics 47 (1):71-88.
    Relational mechanics is a gauge theory of classical mechanics whose laws do not govern the motion of individual particles but the evolution of the distances between particles. Its formulation gives a satisfactory answer to Leibniz’s and Mach’s criticisms of Newton’s mechanics: relational mechanics does not rely on the idea of an absolute space. When describing the behavior of small subsystems with respect to the so called “fixed stars”, relational mechanics basically agrees with Newtonian mechanics. However, those subsystems having huge angular (...)
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  41. A Simple and Interesting Classical Mechanical Supertask.Jon 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 in (...)
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  42. Against Comparativism About Mass in Newtonian Gravity - a Case Study in the Metaphysics of Scale.Niels C. M. Martens - 2017 - Dissertation, University of Oxford
    This thesis concerns the metaphysics of scale. It investigates the implications of a physical determinable being dimensionful. In particular, it considers the case study of mass, as it features within Newtonian Gravity. Nevertheless, most of the terminology, methodology and arguments developed should be relatively straightforwardly applicable to other determinables and theories. -/- Weak Absolutism about mass holds that mass ratios obtain in virtue of absolute masses. Weak Comparativism denies this. In the first five chapters I argue in favour of Weak (...)
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  43. The Parallelogram Rule From Pseudo-Aristotle to Newton.David Marshall Miller - 2017 - Archive for History of Exact Sciences 71 (2):157-191.
    The history of the Parallelogram Rule for composing physical quantities, such as motions and forces, is marked by conceptual difficulties leading to false starts and halting progress. In particular, authors resisted the required assumption that the magnitude and the direction of a quantity can interact and are jointly necessary to represent the quantity. Consequently, the origins of the Rule cannot be traced to Pseudo-Aristotle or Stevin, as commonly held, but to Fermat, Hobbes, and subsequent developments in the latter part of (...)
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  44. Metaphysical Foundations of Neoclassical Mechanics.Marius Stan - 2017 - In Michela Massimi & Angela Breitenbach (eds.), Kant and the Laws of Nature. Cambridge University Press. pp. 214-234.
    I examine here if Kant’s metaphysics of matter can support any late-modern versions of classical mechanics. I argue that in principle it can, by two different routes. I assess the interpretive costs of each approach, and recommend the most promising strategy: a mass-point approach.
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  45. Euler, Newton, and Foundations for Mechanics.Marius Stan - 2017 - In Chris Smeenk & Eric Schliesser (eds.), The Oxford Handbook of Newton. Oxford University Press. pp. 1-22.
    This chapter looks at Euler’s relation to Newton, and at his role in the rise of ‘Newtonian’ mechanics. It aims to give a sense of Newton’s complicated legacy for Enlightenment science, and to raise awareness that some key ‘Newtonian’ results really come from Euler.
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  46. Theoretical Equivalence in Classical Mechanics and its Relationship to Duality.Nicholas J. Teh & Dimitris Tsementzis - 2017 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 59:44-54.
    As a prolegomenon to understanding the sense in which dualities are theoretical equivalences, we investigate the intuitive `equivalence' of hyper-regular Lagrangian and Hamiltonian classical mechanics. We show that the symplectification of these theories provides a sense in which they are isomorphic, and mutually and canonically definable through an analog of `common definitional extension'.
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  47. Continuity in Nature and in Mathematics: Du Châtelet and Boscovich.Marij Van Strien - 2017 - In Michela Massimi, Jan-Willem Romeijn & Gerhard Schurz (eds.), EPSA15 Selected Papers. Springer. pp. 71-82.
    In the mid-eighteenth century, it was usually taken for granted that all curves described by a single mathematical function were continuous, which meant that they had a shape without bends and a well-defined derivative. In this paper I discuss arguments for this claim made by two authors, Emilie du Châtelet and Roger Boscovich. I show that according to them, the claim follows from the law of continuity, which also applies to natural processes, so that natural processes and mathematical functions have (...)
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  48. A Complete Graphical Calculus for Spekkens’ Toy Bit Theory.Miriam Backens & Ali Nabi Duman - 2016 - Foundations of Physics 46 (1):70-103.
    While quantum theory cannot be described by a local hidden variable model, it is nevertheless possible to construct such models that exhibit features commonly associated with quantum mechanics. These models are also used to explore the question of \-ontic versus \-epistemic theories for quantum mechanics. Spekkens’ toy theory is one such model. It arises from classical probabilistic mechanics via a limit on the knowledge an observer may have about the state of a system. The toy theory for the simplest possible (...)
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  49. Gleason-Type Theorem for Projective Measurements, Including Qubits: The Born Rule Beyond Quantum Physics.F. De Zela - 2016 - Foundations of Physics 46 (10):1293-1306.
    Born’s quantum probability rule is traditionally included among the quantum postulates as being given by the squared amplitude projection of a measured state over a prepared state, or else as a trace formula for density operators. Both Gleason’s theorem and Busch’s theorem derive the quantum probability rule starting from very general assumptions about probability measures. Remarkably, Gleason’s theorem holds only under the physically unsound restriction that the dimension of the underlying Hilbert space \ must be larger than two. Busch’s theorem (...)
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  50. Particles, Fields and a Canonical Distance Form.A. N. Grigorenko - 2016 - Foundations of Physics 46 (3):382-392.
    We examine a notion of an elementary particle in classical physics and suggest that its existence requires non-trivial homotopy of space-time. We show that non-trivial homotopy may naturally arise for space-times in which metric relations are generated by a canonical distance form factorized by a Weyl field. Some consequences of the presence of a Weyl field are discussed.
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