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Mathematical principles of natural philosophy

In Aloysius Martinich, Fritz Allhoff & Anand Vaidya (eds.), Early Modern Philosophy: Essential Readings with Commentary. Oxford: Wiley-Blackwell (2007)

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  1. Spinoza, Explained.Stephen Harrop - 2022 - Dissertation, Yale University
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  • What Hume Didn't Notice About Divine Causation.Timothy Yenter - 2021 - In Gregory Ganssle (ed.), Philosophical Essays on Divine Causation. New York, NY: Routledge. pp. 158-173.
    Hume’s criticisms of divine causation are insufficient because he does not respond to important philosophical positions that are defended by those whom he closely read. Hume’s arguments might work against the background of a Cartesian definition of body, or a Malebranchian conception of causation, or some defenses of occasionalism. At least, I will not here argue that they succeed or fail against those targets. Instead, I will lay out two major deficiencies in his arguments against divine causation. I call these (...)
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  • Essence, Experiment, and Underdetermination in the Spinoza-Boyle Correspondence.Stephen Harrop - 2022 - Hopos: The Journal of the International Society for the History of Philosophy of Science 12 (2):447-484.
    I examine the (mediated) correspondence between Spinoza and Robert Boyle concerning the latter’s account of fluidity and his experiments on reconstitution of niter in the light of the epistemology and doctrine of method contained in the Treatise on the Emendation of the Intellect. I argue that both the Treatise and the correspondence reveal that for Spinoza, the proper method of science is not experimental, and that he accepted a powerful under-determination thesis. I argue that, in contrast to modern versions, Spinoza’s (...)
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  • Einstein Vs. Bergson: An Enduring Quarrel on Time.Alessandra Campo & Simone Gozzano (eds.) - 2021 - Boston: De Gruyter.
    This book brings together papers from a conference that took place in the city of L'Aquila, 4–6 April 2019, to commemorate the 10th anniversary of the earthquake that struck on 6 April 2009. Philosophers and scientists from diverse fields of research debated the problem that, on 6 April 1922, divided Einstein and Bergson: the nature of time. For Einstein, scientific time is the only time that matters and the only time we can rely on. Bergson, however, believes that scientific time (...)
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  • When Occam's Razor Cuts too Deep.Marco Masi - manuscript
    Occam’s razor is frequently considered to be a cornerstone of the scientific method. Indeed, it was and remains a valuable tool for scientific and philosophical inquiry. However, we provided an overview of some historical instances in which it led science away from a reasonable and sound heuristic approach. Some words of caution are necessary to clarify how, contrary to common belief, a too strict adherence to such a principle did not guarantee scientific rigor but, rather, obstructed further progress.
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  • Climate Models and the Irrelevance of Chaos.Corey Dethier - 2021 - Philosophy of Science 88 (5):997-1007.
    Philosophy of science has witnessed substantial recent debate over the existence of a structural analogue of chaos, which is alleged to spell trouble for certain uses of climate models. The debate over the analogy can and should be separated from its alleged epistemic implications: chaos-like behavior is neither necessary nor sufficient for small dynamical misrepresentations to generate erroneous results. The kind of sensitivity that matters in epistemology is one that induces unsafe beliefs, and the existence of a structural analogue to (...)
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  • Gravity and Grace.Gordon Belot - 2022 - Philosophers' Imprint 22 (1).
    This paper revisits the bearing of underdetermination arguments on scientific realism. First it argues that underdetermination considerations provide good reason to doubt that science is objective in the strong sense that anyone following the its methods will be led closer and closer to the truth about any given question within the purview of those methods, as more relevant data are considered. Then it argues that scientific realism is difficult to maintain in the absence of this sort of objectivity.
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  • 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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  • How to Teach History of Philosophy and Science: A Digital Based Case Study.Andrea Reichenberger - 2018 - Transversal: International Journal for the Historiography of Science 5:84-99.
    The following article describes a pilot study on the possible integration of digital historiography into teaching practice. It focuses on Émilie Du Châtelet’s considerations of space and time against the background of Leibniz’s program of analysis situs. Historians have characterized philosophical controversies on space and time as a dichotomy between the absolute and relational concepts of space and time. In response to this, the present case study pursues two aims: First, it shows that the common portrayal simplifies the complex pattern (...)
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  • Information causality, the Tsirelson bound, and the ‘being-thus’ of things.Michael E. Cuffaro - 2020 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 72:266-277.
    The principle of 'information causality' can be used to derive an upper bound---known as the 'Tsirelson bound'---on the strength of quantum mechanical correlations, and has been conjectured to be a foundational principle of nature. In this paper, however, I argue that the principle has not to date been sufficiently motivated to play this role; the motivations that have so far been given are either unsatisfactorily vague or else amount to little more than an appeal to intuition. I then consider how (...)
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  • Thought Experiments: Determining Their Meaning.Igal Galili - 2009 - Science & Education 18 (1):1-23.
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  • Simple is not easy.Edison Barrios - 2016 - Synthese 193 (7):2261-2305.
    I review and challenge the views on simplicity and its role in linguistics put forward by Ludlow. In particular, I criticize the claim that simplicity—in the sense pertinent to science—is nothing more than ease of use or “user-friendliness”, motivated by economy of labor. I argue that Ludlow’s discussion fails to do justice to the diversity of factors that are relevant to simplicity considerations. This, in turn, leads to the neglect of crucial cases in which the rationale for simplification is unmistakably (...)
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  • International Handbook of Research in History, Philosophy and Science Teaching.Michael R. Matthews (ed.) - 2014 - Springer.
    This inaugural handbook documents the distinctive research field that utilizes history and philosophy in investigation of theoretical, curricular and pedagogical issues in the teaching of science and mathematics. It is contributed to by 130 researchers from 30 countries; it provides a logically structured, fully referenced guide to the ways in which science and mathematics education is, informed by the history and philosophy of these disciplines, as well as by the philosophy of education more generally. The first handbook to cover the (...)
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  • Why spacetime is not a hidden cause: a realist story.Graham Nerlich - unknown
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  • Godly Men and Mechanical Philosophers: Souls and Spirits in Restoration Natural Philosophy.Simon Schaffer - 1987 - Science in Context 1 (1):53-85.
    The ArgumentRecent historiography of the Scientific Revolution has challenged the assumption that the achievements of seventeenth-century natural philosophy can easily be described as the ‘mechanization of the world-picture.’ That assumption licensed a story which took mechanization as self-evidently progressive and so in no need of further historical analysis. The clock-work world was triumphant and inevitably so. However, a close examination of one key group of natural philosophers working in England during the 1670s shows that their program necessarily incorporated souls and (...)
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  • Auditory and visual objects.Michael Kubovy & David Van Valkenburg - 2001 - Cognition 80 (1-2):97-126.
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  • A Non-reductive Model of Component Forces and Resultant Force.Dwayne Moore - 2012 - International Studies in the Philosophy of Science 26 (4):359-380.
    While there are reasons to believe that both component forces and a resultant force operate on a body in combined circumstances, the threat of overdetermination largely prevents adoption of this view. Accordingly, a lively debate has arisen over which force actually exists and which force is eliminated in combined circumstances, the components or the resultant. In this article I present a non-reductive model of resultant force which ensures the existence of both the resultant force and the component forces without overdetermination. (...)
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  • A Tale of Two Vectors.Marc Lange - 2009 - Dialectica 63 (4):397-431.
    Why do forces compose according to the parallelogram of forces? This question has been controversial; it is one episode in a longstanding, fundamental dispute regarding which facts are not to be explained dynamically. If the parallelogram law is explained statically, then the laws of statics are separate from and “transcend” the laws of dynamics. Alternatively, if the parallelogram law is explained dynamically, then statical laws become mere corollaries to the dynamical laws. I shall attempt to trace the history of this (...)
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  • The Mechanical Philosophy and Newton’s Mechanical Force.Hylarie Kochiras - 2013 - Philosophy of Science 80 (4):557-578.
    How does Newton approach the challenge of mechanizing gravity and, more broadly, natural philosophy? By adopting the simple machine tradition’s mathematical approach to a system’s co-varying parameters of change, he retains natural philosophy’s traditional goal while specifying it in a novel way as the search for impressed forces. He accordingly understands the physical world as a divinely created machine possessing intrinsically mathematical features, and mathematical methods as capable of identifying its real features. The gravitational force’s physical cause remains an outstanding (...)
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  • Pragmatic norms in science: making them explicit.María Caamaño Alegre - 2013 - Synthese 190 (15):3227-3246.
    The present work constitutes an attempt to make explicit those pragmatic norms successfully operating in empirical science. I will first comment on the initial presuppositions of the discussion, in particular, on those concerning the instrumental character of scientific practice and the nature of scientific goals. Then I will depict the moderately naturalistic frame in which, from this approach, the pragmatic norms make sense. Third, I will focus on the specificity of the pragmatic norms, making special emphasis on what I regard (...)
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  • A puzzle about natural laws and the existence of God.Danny Frederick - 2013 - International Journal for Philosophy of Religion 73 (3):269-283.
    The existence of natural laws, whether deterministic or indeterministic, and whether exceptionless or ceteris paribus, seems puzzling because it implies that mindless bits of matter behave in a consistent and co-ordinated way. I explain this puzzle by showing that a number of attempted solutions fail. The puzzle could be resolved if it were assumed that natural laws are a manifestation of God’s activity. This argument from natural law to God’s existence differs from its traditional counterparts in that, whereas the latter (...)
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  • The Scientific Explanation of Colour Qualia.Jeff Foss - 2009 - Dialogue 48 (3):479.
    ABSTRACT: Qualia, the subjectively known qualities of conscious experience, are judged by many philosophers and scientists to lie beyond the domain of scientific explanation, thus making the conscious mind partly incomprehensible to the objective physical sciences. Some, like Kripke and Chalmers, employ modal logic to argue that explanations of qualia are impossible in principle. I argue that there already exist perfectly normal scientific explanations of qualia, and rebut the arguments of those who deny this possibility.
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  • Events and time in a finite and closed world.Francis Y. Lin - 2000 - Nordic Journal of Philosophical Logic 5 (1):3-24.
    There are numerous occasions on which we need to reason about a finite number of events. And we often need to consider only those events which are given or which we perceive. These give rise to the Criteria of Finiteness and Closedness. Allen's logic provides a way of reasoning about events. In this paper I examine Allen and Hayes' axiomatisation of this logic, and develop two other axiomatisations based on the work by Russell and Thomason. I shall show that these (...)
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  • Incongruent counterparts and the reality of space.Graham Nerlich - 2009 - Philosophy Compass 4 (3):598-613.
    Left and right hands are incongruent counterparts. Yet each replicates the intrinsic properties of the other. This suggests that differing relations to space make the difference. Kant's and Weyl's discussions of the problem are critically discussed. It emerges that spatial relationism fails to explain how its relations may be interpreted. An excursion into visual geometry explains the basis of handedness in the orientable structure of space.
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  • Did time have a beginning?Henrik Zinkernagel - 2008 - International Studies in the Philosophy of Science 22 (3):237 – 258.
    By analyzing the meaning of time I argue, without endorsing operationalism, that time is necessarily related to physical systems which can serve as clocks. This leads to a version of relationism about time which entails that there is no time 'before' the universe. Three notions of metaphysical 'time' (associated, respectively, with time as a mathematical concept, substantivalism, and modal relationism) which might support the idea of time 'before' the universe are discussed. I argue that there are no good reasons to (...)
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  • Identity, space-time, and cosmology.Jan Faye - 2008 - In Dennis Geert Bernardus Johan Dieks (ed.), The Ontology of Spacetime II. Elsevier. pp. 39-57.
    Modern cosmology treats space and time, or rather space-time, as concrete particulars. The General Theory of Relativity combines the distribution of matter and energy with the curvature of space-time. Here space-time appears as a concrete entity which affects matter and energy and is affected by the things in it. I question the idea that space-time is a concrete existing entity which both substantivalism and reductive relationism maintain. Instead I propose an alternative view, which may be called non-reductive relationism, by arguing (...)
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  • Relationalism rehabilitated? I: Classical mechanics.Oliver Pooley & Harvey R. Brown - 2002 - British Journal for the Philosophy of Science 53 (2):183--204.
    The implications for the substantivalist–relationalist controversy of Barbour and Bertotti's successful implementation of a Machian approach to dynamics are investigated. It is argued that in the context of Newtonian mechanics, the Machian framework provides a genuinely relational interpretation of dynamics and that it is more explanatory than the conventional, substantival interpretation. In a companion paper (Pooley [2002a]), the viability of the Machian framework as an interpretation of relativistic physics is explored. 1 Introduction 2 Newton versus Leibniz 3 Absolute space versus (...)
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  • The Dome: An Unexpectedly Simple Failure of Determinism.John D. Norton - 2008 - Philosophy of Science 75 (5):786-798.
    Newton’s equations of motion tell us that a mass at rest at the apex of a dome with the shape specified here can spontaneously move. It has been suggested that this indeterminism should be discounted since it draws on an incomplete rendering of Newtonian physics, or it is “unphysical,” or it employs illicit idealizations. I analyze and reject each of these reasons. †To contact the author, please write to: Department of History and Philosophy of Science, University of Pittsburgh, Pittsburgh, PA (...)
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  • The american executive and Colombian violence: Social relatedness and business ethics. [REVIEW]John H. Barnett - 1991 - Journal of Business Ethics 10 (11):853 - 861.
    Three models of the response of American managers both to the violence of Colombian society and to the demands made by the Colombian narcotrafficker are identified: (1) conflict, (2) compartment, and (3) complementarity. The foundations of the models and their managerial consequences are decribed. Finally, the concepts underlying complementarity lead to social relatedness, both a new model of the business and society relationship and a guide for business ethics.
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  • Demarkationsproblemet: Faldgruber og Muligheder.Jens Hebor - 2009 - Res Cogitans 6 (1).
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  • A Double Edged Sword? Kant's Refutation Of Mendelssohn's Proof Of The Immortality Of The Soul And Its Implications For His Theory Of Matter.Lorne Falkenstein - 1998 - Studies in History and Philosophy of Science Part A 29 (4):561-588.
    I argue that Kant's refutation of Mendelssohn's proof of the immortality of the soul also refutes his own proof of the permanence of material substance. To evade this result, Kant would have had to rely on premises that can only be established empirically. This difficulty brings up deep and disturbing difficulties with Kant's theory of matter and body in his Metaphysical Foundations of Natural Science and suggests that his early Physical Monadology offered a better account, one he was constrained by (...)
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  • Initiation and control of gait from first principles: a mathematically animated model of the foot.Craig Nevin - 2001 - Dissertation, Eschewed
    The initiation of bipedal gait is a willed action that causes a body at rest to move. Newton's first principle of motion is applied to experimental footprint data. leading to the premise that the big toe is the source of the body action force that initiates and controls bipedal gait.
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  • The Demarcation between Philosophy and Science.Gustavo Fernández Díez - 2010 - Croatian Journal of Philosophy 10 (2):131-146.
    This paper is based on a criterion recently proposed by Richard Fumerton for demarcating philosophy of mind and cognitive science. I suggest to extend it to a demarcation criterion between philosophy and science in general, and put it in the context of the historical changes of boundaries between the philosophical and the scientifi c fi eld. I point to a number of philosophical claims and approaches that have been made utterly obsolete by the advancement of science, and conjecture that a (...)
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  • Are the Laws of Quantum Logic Laws of Nature?Peter Mittelstaedt - 2012 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 43 (2):215-222.
    The main goal of quantum logic is the bottom-up reconstruction of quantum mechanics in Hilbert space. Here we discuss the question whether quantum logic is an empirical structure or a priori valid. There are good reasons for both possibilities. First, with respect to the possibility of a rational reconstruction of quantum mechanics, quantum logic follows a priori from quantum ontology and can thus not be considered as a law of nature. Second, since quantum logic allows for a reconstruction of quantum (...)
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  • Newton’s Empiricism and Metaphysics.Mary Domski - 2010 - Philosophy Compass 5 (7):525-534.
    Commentators attempting to understand the empirical method that Isaac Newton applies in his Mathematical Principles of Natural Philosophy (1687) are forced to grapple with the thorny issue of how to reconcile Newton's rejection of hypotheses with his appeal to absolute space. On the one hand, Newton claims that his experimental philosophy does not rely on claims that are assumed without empirical evidence, and on the other hand, Newton appeals to an absolute space that, by his own characterization, does not make (...)
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  • The Hessen-Grossman thesis: An attempt at rehabilitation.Gideon Freudenthal - 2005 - Perspectives on Science 13 (2):166-193.
    : The work of Boris Hessen and Henryk Grossman on the emergence of early modern science is an attempt at a historical sociology of science and a historical epistemology of scientific knowledge. One of their theses is elaborated here, namely that early modern mechanics developed in the study of contemporary technology. In particular I discuss the thesis that the replacement of the Aristotelian concept of motion by the modern general and mathematical concept developed in the study of transmission machines. In (...)
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  • Sklar's Maneuver.Bradford Skow - 2007 - British Journal for the Philosophy of Science 58 (4):777-786.
    Sklar ([1974]) claimed that relationalism about ontology-the doctrine that space and time do not exist-is compatible with Newtonian mechanics. To defend this claim he sketched a relationalist interpretation of Newtonian mechanics. In his interpretation, absolute acceleration is a fundamental, intrinsic property of material bodies; that a body undergoes absolute acceleration does not entail that space and time exist. But Sklar left his proposal as just a sketch; his defense of relationalism succeeds only if the sketch can be filled in. I (...)
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  • Deduction Versus Discourse: Newton and the Cosmic Phenomena. [REVIEW]Pierre Kerszberg - 2013 - Foundations of Science 18 (3):529-544.
    Deduction Versus Discourse: Newton and the Cosmic Phenomena Content Type Journal Article Pages 1-16 DOI 10.1007/s10699-011-9283-2 Authors Pierre Kerszberg, University of Toulouse, Toulouse, France Journal Foundations of Science Online ISSN 1572-8471 Print ISSN 1233-1821.
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  • Some aspects of explanation in Boškovič.Zvonimir Čuljak - 1995 - International Studies in the Philosophy of Science 9 (1):73-84.
    Bošković's explanatory procedure and his concept of explanation represents a certain departure from Newton's causal theory and his theory of explanation. Apart from particular elements of causal explanation, Bošković developed an alternative, non‐causal explanatory strategy. In this paper two different elements of this strategy are discussed: (i) the micro‐reductive explanatory strategy based on Bošković's idea of determination, and (ii) a type of explanation of a theory by means of a more general law, through a thought‐experiment. In addition, an outline of (...)
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  • The non-local to local space-time map.Paul Karl Hoiland - unknown
    While for point particles a local theory seems to be sufficient, when it comes to extended objects like Strings and Branes you by rights are not dealing with a specifically fully localized particle to begin with. This also is not the case for non-inertial particles interacting with a wave field (like, e.g., an accelerated atom interacting with the quantized electromagnetic field). The fact that a wave has an extension seems to make a non-local treatment necessary. By the same fact a (...)
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  • On the alleged equivalence between Newtonian and relativistic cosmology.Pierre Kerszberg - 1987 - British Journal for the Philosophy of Science 38 (3):347-380.
    Among the many controversial contributions of E. A. Milne to cosmology, the only one which is taken seriously today (to the extent that it has been absorbed as a premise in most scientific approaches to the problem of the universe as a totality) is his early suggestion that a formal equivalence may be made between Newtonian and Relativistic cosmology. My own paper suggests that, over and above any logical validity in the alleged equivalence, the actual way in which it has (...)
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  • Axiomatization of the Symbols System of Classic of Changes: The Marriage of Oriental Mysticism and Western Scientific Tradition.Xijia Wang - 2020 - Foundations of Science 25 (2):315-325.
    Classic of Changes is a Chinese cultural classic born more than 3000 years ago. Its profound philosophical thoughts and the use of divination have brought Classic of Changes to a strong oriental mysticism. The view of the heaven and man of yin and yang and the five elements states of Classic of Changes are completely different from the Western elemental theory of ancient Greece. The latter gave birth to classical and modern scientific theories, and the yin and yang and the (...)
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  • Teaching Weight-Gravity and Gravitation in Middle School.Igal Galili, Varda Bar & Yaffa Brosh - 2016 - Science & Education 25 (9-10):977-1010.
    This study deals with the school instruction of the concept of weight. The historical review reveals the major steps in changing weight definition reflecting the epistemological changes in physics. The latest change drawing on the operation of weighing has been not widely copied into physics education. We compared the older instruction based on the gravitational definition of weight with the newer one based on the operational definition. The experimental teaching was applied in two versions, simpler and extended. The study examined (...)
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  • On the Philosophical Inadequacy of Modern Physics and the Need for a Theory of Space.Henry H. Lindner - 2015 - Cosmos and History 11 (1):136-180.
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  • Einstein’s theory of theories and types of theoretical explanation.Francisco Flores - 1999 - International Studies in the Philosophy of Science 13 (2):123 – 134.
    In this paper I draw on Einstein's distinction between “principle” and “constructive” theories to isolate two levels of physical theory that can be found in both classical and (special) relativistic physics. I then argue that when we focus on theoretical explanations in physics, i.e. explanations of physical laws, the two leading views on explanation, Salmon's “bottom-up” view and Kitcher's “top-down” view, accurately describe theoretical explanations for a given level of theory. I arrive at this conclusion through an analysis of explanations (...)
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  • Principles, laws, theories and the metaphysics of science.Craig Dilworth - 1994 - Synthese 101 (2):223 - 247.
    In this paper an outline of a metaphysical conception of modern science is presented in which a fundamental distinction is drawn between scientific principles, laws and theories. On this view, ontologicalprinciples, rather than e.g. empirical data, constitute the core of science. The most fundamental of these principles are three in number, being, more particularly (A) the principle of the uniformity of nature, (B) the principle of the perpetuity of substance, and (C) the principle of causality.These three principles set basic constraints (...)
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  • Treading on hallowed ground.Mark D. Williams & Charles B. Rodning - 1996 - Journal of Medical Humanities 17 (2):103-118.
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  • The Contingency of Laws of Nature in Science and Theology.Lydia Jaeger - 2010 - Foundations of Physics 40 (9-10):1611-1624.
    The belief that laws of nature are contingent played an important role in the emergence of the empirical method of modern physics. During the scientific revolution, this belief was based on the idea of voluntary creation. Taking up Peter Mittelstaedt’s work on laws of nature, this article explores several alternative answers which do not overtly make use of metaphysics: some laws are laws of mathematics; macroscopic laws can emerge from the interplay of numerous subsystems without any specific microscopic nomic structures (...)
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  • (1 other version)A gênese da causalidade física.Michel Paty - 2004 - Scientiae Studia 2 (1):9-32.
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  • Review essay: The importance of the history of science for philosophy in general. [REVIEW]Gary Hatfield - 1996 - Synthese 106 (1):113 - 138.
    Essay review of Daniel Garber, 1992, Descartes' Metaphysical Physics, University of Chicago Press, Chicago and London, xiv + 389 pp., and Michael Friedman,: 1992, Kant and the Exact Sciences, Harvard University Press, Cambridge, Mass., and London, xvii + 357 pp. These two books display the historical connection between science and philosophy in the writings of Descartes and Kant. They show the place of science in, or the scientific context of, these authors' central metaphysical doctrines, pertaining to substance and its properties, (...)
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