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  1. Why Physics Uses Second Derivatives.Kenny Easwaran - 2014 - British Journal for the Philosophy of Science 65 (4):845-862.
    I defend a causal reductionist account of the nature of rates of change like velocity and acceleration. This account identifies velocity with the past derivative of position and acceleration with the future derivative of velocity. Unlike most reductionist accounts, it can preserve the role of velocity as a cause of future positions and acceleration as the effect of current forces. I show that this is possible only if all the fundamental laws are expressed by differential equations of the same order. (...)
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  • The Necessity of Metaphysics.Tuomas E. Tahko - 2008 - Dissertation, Durham University
    The purpose of this thesis is to demonstrate that metaphysics is a necessary discipline -- necessary in the sense that all areas of philosophy, all areas of science, and in fact any type of rational activity at all would be impossible without a metaphysical background or metaphysical presuppositions. Because of the extremely strong nature of this claim, it is not possible to put forward a very simple argument, although I will attempt to construct one. A crucial issue here is what (...)
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  • (1 other version)Ontologie quantistiche di particelle, campi e lampi.Nino Zanghi - unknown
    La meccanica quantistica è una delle più grandi conquiste intellettuali del xx secolo. Le sue leggi regolano il mondo atomico e subatomico e si riverberano su una miriade di fenomeni del mondo macroscopico, dalla formazione dei cristalli alla superconduttività, dalle proprietà dei fluidi a bassa temperatura agli spettri di emissione di una candela che brucia o di una supernova che esplode, dai meccanismi di combustione della fornace solare ai principi di base delle nanotecnologie. Non c’è quasi nulla nel mondo che (...)
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  • Are instantaneous velocities real and really instantaneous?: an argument for the affirmative.Sheldon R. Smith - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (2):261-280.
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  • On the time reversal invariance of classical electromagnetic theory.David B. Malament - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (2):295-315.
    David Albert claims that classical electromagnetic theory is not time reversal invariant. He acknowledges that all physics books say that it is, but claims they are ``simply wrong" because they rely on an incorrect account of how the time reversal operator acts on magnetic fields. On that account, electric fields are left intact by the operator, but magnetic fields are inverted. Albert sees no reason for the asymmetric treatment, and insists that neither field should be inverted. I argue, to the (...)
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  • (1 other version)Gunk, Topology and Measure.Frank Arntzenius - 2008 - In Dean Zimmerman (ed.), Oxford Studies in Metaphysics: Volume 4. Oxford University Press UK.
    I argue that it may well be the case that space and time do not consist of points, indeed that they have no smallest parts. I examine two different approaches to such pointless spaces : a topological approach and a measure theoretic approach. I argue in favor of the measure theoretic approach.
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  • A puzzle about laws, symmetries and measurability.John T. Roberts - 2008 - British Journal for the Philosophy of Science 59 (2):143-168.
    I describe a problem about the relations among symmetries, laws and measurable quantities. I explain why several ways of trying to solve it will not work, and I sketch a solution that might work. I discuss this problem in the context of Newtonian theories, but it also arises for many other physical theories. The problem is that there are two ways of defining the space-time symmetries of a physical theory: as its dynamical symmetries or as its empirical symmetries. The two (...)
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  • Against pointillisme about mechanics.Jeremy Butterfield - 2006 - British Journal for the Philosophy of Science 57 (4):709-753.
    This paper forms part of a wider campaign: to deny pointillisme, the doctrine that a physical theory's fundamental quantities are defined at points of space or of spacetime, and represent intrinsic properties of such points or point-sized objects located there; so that properties of spatial or spatiotemporal regions and their material contents are determined by the point-by-point facts. More specifically, this paper argues against pointillisme about the concept of velocity in classical mechanics; especially against proposals by Tooley, Robinson and Lewis. (...)
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  • Enantiomorphy and time.Jan-Willem Romeijn - 2005 - International Studies in the Philosophy of Science 19 (2):167 – 190.
    This article argues that time-asymmetric processes in spacetime are enantiomorphs. Subsequently, the Kantian puzzle concerning enantiomorphs in space is reviewed to introduce a number of positions concerning enantiomorphy, and to arrive at a dilemma: one must either reject that orientations of enantiomorphs are determinate, or furnish space or objects with orientation. The discussion on space is then used to derive two problems in the debate on the direction of time. First, it is shown that certain kinds of reductionism about the (...)
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  • Center indifference and skepticism.David Builes - 2024 - Noûs 58 (3):778-798.
    Many philosophers have been attracted to a restricted version of the principle of indifference in the case of self‐locating belief. Roughly speaking, this principle states that, within any given possible world, one should be indifferent between different hypotheses concerning who one is within that possible world, so long as those hypotheses are compatible with one's evidence. My first goal is to defend a more precise version of this principle. After responding to several existing criticisms of such a principle, I argue (...)
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  • Modal Idealism.David Builes - forthcoming - Oxford Studies in Philosophy of Mind.
    I argue that it is metaphysically necessary that: (i) every fundamental entity is conscious, and (ii) every fundamental property is a phenomenal property.
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  • Modalité et changement: δύναμις et cinétique aristotélicienne.Marion Florian - 2023 - Dissertation, Université Catholique de Louvain
    The present PhD dissertation aims to examine the relation between modality and change in Aristotle’s metaphysics. -/- On the one hand, Aristotle supports his modal realism (i.e., worldly objects have modal properties - potentialities and essences - that ground the ascriptions of possibility and necessity) by arguing that the rejection of modal realism makes change inexplicable, or, worse, banishes it from the realm of reality. On the other hand, the Stagirite analyses processes by means of modal notions (‘change is the (...)
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  • Experience and Time: A Metaphysical Approach.David Builes & Michele Odisseas Impagnatiello - forthcoming - Analytic Philosophy.
    What is the temporal structure of conscious experience? While it is popular to think that our most basic conscious experiences are temporally extended, we will be arguing against this view, on the grounds that it makes our conscious experiences depend on the future in an implausible way. We then defend an alternative view of the temporal structure of experience from a variety of different objections. Along the way, we hope to illustrate the wider philosophical ramifications of the relationship between experience (...)
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  • The Disappearance and Reappearance of Potential Energy in Classical and Quantum Electrodynamics.Charles T. Sebens - 2022 - Foundations of Physics 52 (5):1-30.
    In electrostatics, we can use either potential energy or field energy to ensure conservation of energy. In electrodynamics, the former option is unavailable. To ensure conservation of energy, we must attribute energy to the electromagnetic field and, in particular, to electromagnetic radiation. If we adopt the standard energy density for the electromagnetic field, then potential energy seems to disappear. However, a closer look at electrodynamics shows that this conclusion actually depends on the kind of matter being considered. Although we cannot (...)
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  • Cosmic Skepticism and the Beginning of Physical Reality (Doctoral Dissertation).Linford Dan - 2022 - Dissertation, Purdue University
    This dissertation is concerned with two of the largest questions that we can ask about the nature of physical reality: first, whether physical reality begin to exist and, second, what criteria would physical reality have to fulfill in order to have had a beginning? Philosophers of religion and theologians have previously addressed whether physical reality began to exist in the context of defending the Kal{\'a}m Cosmological Argument (KCA) for theism, that is, (P1) everything that begins to exist has a cause (...)
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  • The fate of causal structure under time reversal.Porter Williams - 2022 - Theoria. An International Journal for Theory, History and Foundations of Science 37 (1):87-102.
    What happens to the causal structure of a world when time is reversed? At first glance it seems there are two possible answers: the causal relations are reversed, or they are not. I argue that neither of these answers is correct: we should either deny that time-reversed worlds have causal relations at all, or deny that causal concepts developed in the actual world are reliable guides to the causal structure of time-reversed worlds. The first option is motivated by the instability (...)
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  • Aristotle’s Solution to Zeno’s Arrow Paradox and its Implications.John M. Pemberton - 2022 - Ancient Philosophy Today 4 (1):73-95.
    Aristotle’s solution to Zeno’s arrow paradox differs markedly from the so called at-at solution championed by Russell, which has become the orthodox view in contemporary philosophy. The latter supposes that motion consists in simply being at different places at different times. It can boast parsimony because it eliminates velocity from the ontology. Aristotle, by contrast, solves the paradox by denying that the flight of the arrow is composed of instants; rather, on my reading, he holds that the flight is a (...)
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  • Flat Physicalism.Meir Hemmo & Orly Shenker - 2021 - Theoria 88 (4):743-764.
    This paper describes a version of type identity physicalism, which we call Flat Physicalism, and shows how it meets several objections often raised against identity theories. This identity theory is informed by recent results in the conceptual foundations of physics, and in particular clar- ifies the notion of ‘physical kinds’ in light of a conceptual analysis of the paradigmatic case of reducing thermody- namics to statistical mechanics. We show how Flat Physi- calism is compatible with the appearance of multiple realisation (...)
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  • What’s Eleatic about the Eleatic Principle?Sosseh Assaturian - 2021 - Archai: Revista de Estudos Sobre as Origens Do Pensamento Ocidental 31 (3):1-37.
    In contemporary metaphysics, the Eleatic Principle (EP) is a causal criterion for reality. Articulating the EP with precision is notoriously difficult. The criterion purportedly originates in Plato’s Sophist, when the Eleatic Visitor articulates the EP at 247d-e in the famous Battle of the Gods and the Giants. There, the Visitor proposes modifying the ontologies of both the Giants (who are materialists) and the Gods (who are friends of the many forms), using a version of the EP according to which only (...)
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  • 19th Brazilian Logic Conference: Book of Abstracts.Cezar A. Mortari & Ricardo Silvestre (eds.) - 2019 - João Pessoa, PB, Brasil: EDUFCG.
    This is the book of abstracts of the 19th Brazilian Logic Conferences. The Brazilian Logic Conferences (EBL) is one of the most traditional logic conferences in South America. Organized by the Brazilian Logic Society (SBL), its main goal is to promote the dissemination of research in logic in a broad sense. It has been occurring since 1979, congregating logicians of different fields — mostly philosophy, mathematics and computer science — and with different backgrounds — from undergraduate students to senior researchers. (...)
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  • Powers: The No-Successor Problem.John Pemberton - 2021 - Journal of the American Philosophical Association 7 (2):213-230.
    This essay considers the implications for the powers metaphysic of the no-successor problem: As there are no successors in the set of real numbers, one state cannot occur just after another in continuous time without there being a gap between the two. I show how the no-successor problem sets challenges for various accounts of the manifestation of powers. For powers that give rise to a manifestation that is a new state, the challenge of no-successors is similar to that faced on (...)
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  • Derivatives and Consciousness.David Builes - 2020 - Journal of Consciousness Studies 27 (9-10):87-103.
    Many philosophers of physics think that physical rates of change, like velocity or acceleration in classical physics, are extrinsic. Many philosophers of mind think that phenomenal properties, which characterize what it’s like to be an agent at a time, are intrinsic. I will argue that these two views can’t both be true. Given that these two views are in tension, we face an explanatory challenge. Why should there be any interesting connection between these physical quantities and consciousness in the first (...)
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  • A puzzle about rates of change.David Builes & Trevor Teitel - 2020 - Philosophical Studies 177 (10):3155-3169.
    Most of our best scientific descriptions of the world employ rates of change of some continuous quantity with respect to some other continuous quantity. For instance, in classical physics we arrive at a particle’s velocity by taking the time-derivative of its position, and we arrive at a particle’s acceleration by taking the time-derivative of its velocity. Because rates of change are defined in terms of other continuous quantities, most think that facts about some rate of change obtain in virtue of (...)
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  • Change and Contradiction: A Criticism of the Hegelian Account of Motion.Emiliano Boccardi - 2019 - In Edgar Almeida, Alexandre Costa-Leite & Rodrigo A. Freire (eds.), Seminário Lógica no Avião, 2013-2018. Universidade de Brasilia. pp. 135-148.
    In his In Contradiction (1987), Priest levelled three powerful arguments against the received Russellian view of change and motion. He argued that his preferred paraconsistent theory of change, the Hegelian account, is immune from these objections. Here I argue that these three arguments are sound, but that the Hegelian account falls pray to them too. I conclude, however, that the Hegelian account is in a better position to tackle these challenges.
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  • The Second Law of Thermodynamics and the Psychological Arrow of Time.Meir Hemmo & Orly Shenker - 2019 - British Journal for the Philosophy of Science 73 (1):85-107.
    Can the second law of thermodynamics explain our mental experience of the direction of time? According to an influential approach, the past hypothesis of universal low entropy also explains how the psychological arrow comes about. We argue that although this approach has many attractive features, it cannot explain the psychological arrow after all. In particular, we show that the past hypothesis is neither necessary nor sufficient to explain the psychological arrow on the basis of current physics. We propose two necessary (...)
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  • On the Ostrogradski Instability; or, Why Physics Really Uses Second Derivatives.Noel Swanson - 2022 - British Journal for the Philosophy of Science 73 (1):23-46.
    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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  • Qual a motivação para se defender uma teoria causal da memória?César Schirmer Dos Santos - 2018 - In Juliano Santos do Carmo & Rogério F. Saucedo Corrêa (eds.), Linguagem e cognição. NEPFil. pp. 63-89.
    Este texto tem como objetivo apresentar a principal motivação filosófica para se defender uma teoria causal da memória, que é explicar como pode um evento que se deu no passado estar relacionado a uma experiência mnêmica que se dá no presente. Para tanto, iniciaremos apresentando a noção de memória de maneira informal e geral, para depois apresentar elementos mais detalhados. Finalizamos apresentando uma teoria causal da memória que se beneficia da noção de veritação (truthmaking).
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  • Time as Motion.Emiliano Boccardi - 2018 - Metaphysica 19 (1):1-31.
    The arena of the philosophy of time has been largely concerned with deciding whether tense distinctions reflect absolute metaphysical distinctions or not. After bringing the debate over the metaphysical status of instantaneous velocity to bear on the debate over the nature of temporal passage, I argue that we should further investigate whether aspectual distinctions reflect objective and absolute metaphysical distinctions too. I conclude that those who think that being realist about tense uniquely makes room for the idea that time passes (...)
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  • 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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  • The Infinity from Nothing paradox and the Immovable Object meets the Irresistible Force.Nicholas Shackel - 2018 - European Journal for Philosophy of Science 8 (3):417-433.
    In this paper I present a novel supertask in a Newtonian universe that destroys and creates infinite masses and energies, showing thereby that we can have infinite indeterminism. Previous supertasks have managed only to destroy or create finite masses and energies, thereby giving cases of only finite indeterminism. In the Nothing from Infinity paradox we will see an infinitude of finite masses and an infinitude of energy disappear entirely, and do so despite the conservation of energy in all collisions. I (...)
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  • Why Zeno’s Paradoxes of Motion are Actually About Immobility.Bathfield Maël - 2018 - Foundations of Science 23 (4):649-679.
    Zeno’s paradoxes of motion, allegedly denying motion, have been conceived to reinforce the Parmenidean vision of an immutable world. The aim of this article is to demonstrate that these famous logical paradoxes should be seen instead as paradoxes of immobility. From this new point of view, motion is therefore no longer logically problematic, while immobility is. This is convenient since it is easy to conceive that immobility can actually conceal motion, and thus the proposition “immobility is mere illusion of the (...)
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  • Thick Presentism and Newtonian Mechanics.Ihor Lubashevsky - 2016 - Http://Arxiv.Org.
    In the present paper I argue that the formalism of Newtonian mechanics stems directly from the general principle to be called the principle of microlevel reducibility which physical systems obey in the realm of classical physics. This principle assumes, first, that all the properties of physical systems must be determined by their states at the current moment of time, in a slogan form it is ``only the present matters to physics.'' Second, it postulates that any physical system is nothing but (...)
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  • Can continuous motion be an illusion?Shan Gao - unknown
    It is widely accepted that continuity is the most essential characteristic of motion; the motion of macroscopic objects is apparently continuous, and classical mechanics, which describes such motion, is also based on the assumption of continuous motion. But is motion really continuous in reality? In this paper, I will try to answer this question through a new analysis of the cause of motion. It has been argued that the standard velocity in classical mechanics cannot fulfill the causal role required for (...)
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  • Prospects for a new account of time reversal.Daniel J. Peterson - 2013 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 49:42-56.
    In this paper I draw the distinction between intuitive and theory-relative accounts of the time reversal symmetry and identify problems with each. I then propose an alternative to these two types of accounts that steers a middle course between them and minimizes each account’s problems. This new account of time reversal requires that, when dealing with sets of physical theories that satisfy certain constraints, we determine all of the discrete symmetries of the physical laws we are interested in and look (...)
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  • The Mathematical Representation of the Arrow of Time.Meir Hemmo & Orly Shenker - 2012 - Iyyun 61:167-192.
    This paper distinguishes between 3 meanings of reversal, all of which are mathematically equivalent in classical mechanics: velocity reversal, retrodiction, and time reversal. It then concludes that in order to have well defined velocities a primitive arrow of time must be included in every time slice. The paper briefly mentions that this arrow cannot come from the Second Law of thermodynamics, but this point is developed in more details elsewhere.
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  • The Metaphysical Status of Logic.Tuomas E. Tahko - 2008 - In Michal Peliš (ed.), The Logica Yearbook 2007. Filosofia.
    The purpose of this paper is to examine the status of logic from a metaphysical point of view – what is logic grounded in and what is its relationship with metaphysics. There are three general lines that we can take. 1) Logic and metaphysics are not continuous, neither discipline has no bearing on the other one. This seems to be a rather popular approach, at least implicitly, as philosophers often skip the question altogether and go about their business, be it (...)
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  • The rotating discs argument defeated.Jeremy Butterfield - 2006 - British Journal for the Philosophy of Science 57 (1):1-45.
    The rotating discs argument against perdurantism has been mostly discussed by metaphysicians, though the argument of course appeals to ideas from classical mechanics, especially about rotation. In contrast, I assess the RDA from the perspective of the philosophy of physics. I argue for three main conclusions. The first conclusion is that the RDA can be formulated more strongly than is usually recognized: it is not necessary to ‘imagine away’ the dynamical effects of rotation. The second is that in general relativity, (...)
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  • Aristotle on Movement, Incompleteness and the Now.Ursula Coope - 2023 - Aristotelian Society Supplementary Volume 97 (1):1-28.
    According to Aristotle, the present is an indivisible instant, or now. Aristotle holds that present-tense movement claims are sometimes true, but he argues that nothing ‘kineitai’ (moves/is moving) in the now. He characterizes movement as something that is ‘incomplete’ while it is occurring. My paper is an attempt to understand this combination of views. I draw a contrast between Aristotle’s position and an alternative view (defended by certain modern philosophers, but also by Plotinus), on which a present-tense movement claim is (...)
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  • Contradictions in Motion: Why They’re not Needed and Why They Wouldn’t Help.Emiliano Boccardi & Moisés Macías-Bustos - 2017 - Humana Mente 10 (32):195-227.
    In this paper we discuss Priest’s account of change and motion, contrasting it with its more orthodox rival, the Russellian account. The paper is divided in two parts. In first one we take a stance that is more sympathetic to the Russellian view, arguing that Priest’s arguments against it are inconclusive. In the second part, instead, we take a more sympathetic attitude towards Priest’s objections. We argue, however, that if these objections pose insurmountable difficulties to the Russellian account, then they (...)
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  • Arrows, Balls and the Metaphysics of Motion.Claudio Calosi & Vincenzo Fano - 2014 - Axiomathes 24 (4):499-515.
    The arrow paradox is an argument purported to show that objects do not really move. The two main metaphysics of motion, the At–At theory of motion and velocity primitivism, solve the paradox differently. It is argued that neither solution is completely satisfactory. In particular it is contended that there are no decisive arguments in favor of the claim that velocity as it is constructed in the At–At theory is a truly instantaneous property, which is a crucial assumption to solve the (...)
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  • If It Ain’t Moving It Shall Not be Moved.Emiliano Boccardi - 2015 - Topoi 34 (1):171-185.
    There are two no-change objections that can be raised against the B-theory of time. One stems from the observation that in a B-theoretic scenario changes of determinations can only be represented by propositions which have eternal truth values. The other derives from the principle that nothing can vary over a period of time if it doesn’t instantiate a state of change at all the instants of time which compose it. Here I argue that both objections apply to all comparative conceptions (...)
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  • Weak Discernibility for Quanta, the Right Way.Nick Huggett & Josh Norton - 2014 - British Journal for the Philosophy of Science 65 (1):39-58.
    Muller and Saunders ([2008]) purport to demonstrate that, surprisingly, bosons and fermions are discernible; this article disputes their arguments, then derives a similar conclusion in a more satisfactory fashion. After briefly explicating their proof and indicating how it escapes earlier indiscernibility results, we note that the observables which Muller and Saunders argue discern particles are (i) non-symmetric in the case of bosons and (ii) trivial multiples of the identity in the case of fermions. Both problems undermine the claim that they (...)
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  • Instants and instantaneous velocity.James Harrington - unknown
    This paper will argue that the puzzles about instantaneous velocity, and rates of change more generally, are the result of a failure to recognize an ambiguity in the concept of an instant, and therefore of an instantaneous state. We will conclude that there are two distinct conceptions of a temporal instant: (i) instants conceived as fundamentally distinct zero-duration temporal atoms and (ii) instants conceived as the boundary of, or between,temporally extended durations. Since the concept of classical instantaneous velocity is well- (...)
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  • Some Consequences of Physics for the Comparative Metaphysics of Quantity.David John Baker - 2020 - In Karen Bennett & Dean W. Zimmerman (eds.), Oxford Studies in Metaphysics Volume 12. Oxford University Press. pp. 75-112.
    According to comparativist theories of quantities, their intrinsic values are not fundamental. Instead, all the quantity facts are grounded in scale-independent relations like "twice as massive as" or "more massive than." I show that this sort of scale independence is best understood as a sort of metaphysical symmetry--a principle about which transformations of the non-fundamental ontology leave the fundamental ontology unchanged. Determinism--a core scientific concept easily formulated in absolutist terms--is more difficult for the comparativist to define. After settling on the (...)
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  • Enantiomorphy and Time.Jan-Willem Romeyn - 2005 - International Studies in the Philosophy of Science 19 (2):167-190.
    This article argues that time‐asymmetric processes in spacetime are enantiomorphs. Subsequently, the Kantian puzzle concerning enantiomorphs in space is reviewed to introduce a number of positions concerning enantiomorphy, and to arrive at a dilemma: one must either reject that orientations of enantiomorphs are determinate, or furnish space or objects with orientation. The discussion on space is then used to derive two problems in the debate on the direction of time. First, it is shown that certain kinds of reductionism about the (...)
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  • On the ontology of particle mass and energy in special relativity.Kevin Coffey - 2020 - Synthese 198 (11):10817-10846.
    Einstein claimed that the fundamental dynamical insight of special relativity was the equivalence of mass and energy. I disagree. Not only are mass and energy not equivalent but talk of such equivalence obscures the real dynamical insight of special relativity, which concerns the nature of 4-forces and interactions more generally. In this paper I present and defend a new ontology of special relativistic particle dynamics that makes this insight perspicuous and I explain how alleged cases of mass–energy conversion can be (...)
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  • The (un)detectability of absolute Newtonian masses.Niels C. M. Martens - 2019 - Synthese 198 (3):2511-2550.
    Absolutism about mass claims that mass ratios obtain in virtue of absolute masses. Comparativism denies this. Dasgupta, Oxford studies in metaphysics, Oxford University Press, Oxford, 2013) argues for comparativism about mass, in the context of Newtonian Gravity. Such an argument requires proving that comparativism is empirically adequate. Dasgupta equates this to showing that absolute masses are undetectable, and attempts to do so. This paper develops an argument by Baker to the contrary: absolute masses are in fact empirically meaningful, that is (...)
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  • How can instantaneous velocity fulfill its causal role?Marc Lange - 2005 - Philosophical Review 114 (4):433-468.
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  • Smooth Infinitesimals in the Metaphysical Foundation of Spacetime Theories.Lu Chen - 2022 - Journal of Philosophical Logic 51 (4):857-877.
    I propose a theory of space with infinitesimal regions called smooth infinitesimal geometry based on certain algebraic objects, which regiments a mode of reasoning heuristically used by geometricists and physicists. I argue that SIG has the following utilities. It provides a simple metaphysics of vector fields and tangent space that are otherwise perplexing. A tangent space can be considered an infinitesimal region of space. It generalizes a standard implementation of spacetime algebraicism called Einstein algebras. It solves the long-standing problem of (...)
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  • Relativity without Light: A Further Suggestion.Shan Gao - unknown
    The role of the light postulate in special relativity is reexamined. The existing theory of relativity without light shows that one can deduce Lorentz-like transformations with an undetermined invariant speed based on homogeneity of space and time, isotropy of space and the principle of relativity. However, since the transformations can be Lorentzian or Galilean, depending on the finiteness of the invariant speed, a further postulate is needed to determine the speed in order to establish a real connection between the theory (...)
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