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  1. Is the Integrated Information Theory of Consciousness Compatible with Russellian Panpsychism?Hedda Hassel Mørch - 2019 - Erkenntnis 84 (5):1065-1085.
    The Integrated Information Theory is a leading scientific theory of consciousness, which implies a kind of panpsychism. In this paper, I consider whether IIT is compatible with a particular kind of panpsychism, known as Russellian panpsychism, which purports to avoid the main problems of both physicalism and dualism. I will first show that if IIT were compatible with Russellian panpsychism, it would contribute to solving Russellian panpsychism’s combination problem, which threatens to show that the view does not avoid the main (...)
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  • Explaining Existence.Chris Mortensen - 1986 - Canadian Journal of Philosophy 16 (4):713 - 722.
    The problem of why something exists rather than nothing is doubtless as old as human philosophising. Of comparable antiquity is the observation that one cannot hope to explain why something exists rather than nothing by appealing to the existence of something else, on pain of vicious circularity.In this paper, I distinguish between the question of why anything exists, and the question of why particulars exist. These two questions are equivalent only if the only things that exist are particulars. Certainly many (...)
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  • Anything is possible.Ch Mortensen - 1989 - Erkenntnis 30 (3):319 - 337.
    This paper criticises necessitarianism, the thesis that there is at least one necessary truth; and defends possibilism, the thesis that all propositions are contingent, or that anything is possible. The second section maintains that no good conventionalist account of necessity is available, while the third section criticises model theoretic necessitarianism. The fourth section sketches some recent technical work on nonclassical logic, with the aim of weakening necessitarian intuitions and strengthening possibilist intuitions. The fifth section considers several a prioristic attempts at (...)
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  • Against A Posteriori Functionalism.Marc A. Moffett - 2010 - Canadian Journal of Philosophy 40 (1):83-106.
    There are two constraints on any functionalist solution to the Mind-Body Problem construed as an answer to the question, “What is the relationship between the mental properties and relations (hereafter, simply the mental properties) and physical properties and relations?” The first constraint is that it must actually address the Mind-Body Problem and not simply redefine the debate in terms of other, more tractable, properties (e.g., the species-specific property of having human-pain). Such moves can be seen to be spurious by the (...)
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  • Universals and the methodenstreit: a re-examination of Carl Menger's conception of economics as an exact science.Uskali Mäki - 1997 - Studies in History and Philosophy of Science Part A 28 (3):475-495.
    In the latter half of the 19th century, economic thought in the Germanspeaking world was dominated, both intellectually and academically, by the so-called historical school, from Wilhelm Roscher to Gustav Schmoller and others. In 1871, the Austrian Carl Menger published his Grun&tze der Volkswirtschaftslehre (Menger, 1976 (1871)), customarily referred to as one of the three simultaneous discoveries of marginalist economics-the other two marginalist ‘revolutionaries’ being Jevons in England and Walras in France. Twelve years later, in 1883, Menger published a major (...)
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  • Contingentism in Metaphysics.Kristie Miller - 2010 - Philosophy Compass 5 (11):965-977.
    In a lot of domains in metaphysics the tacit assumption has been that whichever metaphysical principles turn out to be true, these will be necessarily true. Let us call necessitarianism about some domain the thesis that the right metaphysics of that domain is necessary. Necessitarianism has flourished. In the philosophy of maths we find it held that if mathematical objects exist, then they do of necessity. Mathematical Platonists affirm the necessary existence of mathematical objects (see for instance Hale and Wright (...)
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  • Continuous creation and secondary causation: the threat of occasionalism.Timothy D. Miller - 2011 - Religious Studies 47 (1):3-22.
    One standard criticism of the doctrine of continuous creation is that it entails the occasionalist position that God alone is a true cause and that the events we commonly identify as causes are merely the occasions upon which God brings about effects. I begin by clearly stating Malebranche's argument from continuous creation to occasionalism. Next, I examine two strategies for resisting Malebranche's argument – strong and weak concurrentism – and argue that weak concurrentism is the more promising strategy. Finally, I (...)
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  • The explainability of intuitions.Nenad Miščević - 2004 - Dialectica 58 (1):43–70.
    Explaining intuitions in terms of "facts of our natural history" is compatible with rationally trusting them. This compatibilist view is defended in the present paper, focusing upon nomic and essentialist modal intuitions. The opposite, incompatibilist view alleges the following: If basic modal intuitions are due to our cognitive make-up or "imaginative habits" then the epistemologists are left with a mere non-rational feeling of compulsion on the side of the thinker. Intuitions then cannot inform us about modal reality. In contrast, the (...)
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  • The Explainability of Intuitions.Nenad Miščević - 2004 - Dialectica 58 (1):43-70.
    Explaining intuitions in terms of “facts of our natural history” is compatible with rationally trusting them. This compatibilist view is defended in the present paper, focusing upon nomic and essentialist modal intuitions. The opposite, incompatibilist view alleges the following: If basic modal intuitions are due to our cognitive make‐up or “imaginative habits” then the epistemologists are left with a mere non‐rational feeling of compulsion on the side of the thinker. Intuitions then cannot inform us about modal reality. In contrast, the (...)
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  • The semantics and ontology of dispositions.D. H. Mellor - 2000 - Mind 109 (436):757--780.
    The paper looks at the semantics and ontology of dispositions in the light of recent work on the subject. Objections to the simple conditionals apparently entailed by disposition statements are met by replacing them with so-called 'reduction sentences' and some implications of this are explored. The usual distinction between categorical and dispositional properties is criticised and the relation between dispositions and their bases examined. Applying this discussion to two typical cases leads to the conclusion that fragility is not a real (...)
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  • Laws, chances and properties.D. H. Mellor - 1990 - International Studies in the Philosophy of Science 4 (2):159-170.
    The paper develops a unified account of both deterministic and indeterministic laws of nature which inherits the merits but not the defects of the best existing accounts. As in Armstrong's account, laws are embodied in facts about universals; but not in higher‐order relations between them, and the necessity of laws is not primitive but results from their containing chances of 0 or 1. As in the Ramsey‐Lewis account, law statements would be the general axioms and theorems of the simplest deductive (...)
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  • Leibniz's two realms revisited.Jeffrey K. McDonough - 2008 - Noûs 42 (4):673-696.
    Leibniz speaks, in a variety of contexts, of there being two realms—a "kingdom of power or efficient causes" and "a kingdom of wisdom or final causes." This essay explores an often overlooked application of Leibniz's famous "two realms doctrine." The first part turns to Leibniz's work in optics for the roots of his view that nature can be seen as being governed by two complete sets of equipotent laws, with one set corresponding to the efficient causal order of the world, (...)
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  • Part two: Aim-oriented empiricism and scientific essentialism.Nicholas Maxwell - 1993 - British Journal for the Philosophy of Science 44 (1):81-101.
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  • Aim-Oriented Empiricism and the Metaphysics of Science.Nicholas Maxwell - 2019 - Philosophia 48 (1):347–364.
    Over 40 years ago, I put forward a new philosophy of science based on the argument that physics, in only ever accepting unified theories, thereby makes a substantial metaphysical presupposition about the universe, to the effect it possesses an underlying unity. I argued that a new conception of scientific method is required to subject this problematic presupposition to critical attention so that it may be improved as science proceeds. This view has implications for the study of the metaphysics of science. (...)
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  • Humean laws and explanation.Dan Marshall - 2015 - Philosophical Studies 172 (12):3145-3165.
    A common objection to Humeanism about natural laws is that, given Humeanism, laws cannot help explain their instances, since, given the best Humean account of laws, facts about laws are explained by facts about their instances rather than vice versa. After rejecting a recent influential reply to this objection that appeals to the distinction between scientific and metaphysical explanation, I will argue that the objection fails by failing to distinguish between two types of facts, only one of which Humeans should (...)
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  • Literalism and the applicability of arithmetic.L. Luce - 1991 - British Journal for the Philosophy of Science 42 (4):469-489.
    Philosophers have recently expressed interest in accounting for the usefulness of mathematics to science. However, it is certainly not a new concern. Putnam and Quine have each worked out an argument for the existence of mathematical objects from the indispensability of mathematics to science. Were Quine or Putnam to disregard the applicability of mathematics to science, he would not have had as strong a case for platonism. But I think there must be ways of parsing mathematical sentences which account for (...)
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  • Defining Miracles: Violations of the Laws of Nature.Morgan Luck - 2011 - Philosophy Compass 6 (2):133--141.
    Philosophers have made numerous and varied attempts to analyse the concept of a miracle. To the end, an assortment of necessary and sufficient conditions for the truth an instantiation of a miracle have been offered. In this paper we discuss one of the most common of these conditions - the violation restriction. This restriction holds that all miracles involve a violation of a law of nature.
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  • What Humeans should say about tied best systems.Christian Loew & Siegfried Jaag - 2019 - Analysis 80 (2):273-282.
    The Humean best systems account identifies laws of nature with the regularities in a system of truths that, as a whole, best conforms to scientific standards for theory-choice. A principled problem for the BSA is that it returns the wrong verdicts about laws in cases where multiple systems, containing different regularities, satisfy these standards equally well. This problem affects every version of the BSA because it arises regardless of which standards for theory-choice Humeans adopt. In this paper, we propose a (...)
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  • David Lewis’s Humean Theory of Objective Chance.Barry Loewer - 2004 - Philosophy of Science 71 (5):1115--25.
    The most important theories in fundamental physics, quantum mechanics and statistical mechanics, posit objective probabilities or chances. As important as chance is there is little agreement about what it is. The usual “interpretations of probability” give very different accounts of chance and there is disagreement concerning which, if any, is capable of accounting for its role in physics. David Lewis has contributed enormously to improving this situation. In his classic paper “A Subjectivist's Guide to Objective Chance” he described a framework (...)
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  • Powers and Nomic Relations: Powerful Categoricalism and the Dualist Model.Vassilis Livanios - 2023 - Philosophia 51 (3):1401-1423.
    The bulk of the literature concerning the governing role of non-Humean laws has been concentrated on the alleged incapability of higher order nomic facts to determine the regularities in the behaviour of actual objects, the so-called Inference Problem. Most recently Ioannidis, Livanios and Psillos (2021) argue that an adequate solution to the Inference Problem requires an answer to the question of how nomic relations manage to ‘tell’ properties what to do. Ioannidis et al. dub the difficulty that all extant accounts (...)
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  • Categorical Monism, Laws, and the Inference Problem.Vassilis Livanios - 2023 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 54 (4):599-619.
    A well-known difficulty that affects all accounts of laws of nature according to which the latter are higher-order facts involving relations between universals (the so-called DTA accounts, from Dretske in Philosophy of Science 44:248–268, 1977; Tooley in Canadian Journal of Philosophy 7:667–698, 1977 and Armstrong (What is a Law of Nature?, Cambridge University Press, Cambridge, 1983)) is the Inference Problem: how can laws construed in that way determine the first-order regularities that we find in the actual world? Bird (Analysis 65:147–55, (...)
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  • Dispositionality and Symmetry Structures.Vassilis Livanios - 2018 - Metaphysica 19 (2):201-217.
    A number of metaphysicians and philosophers of science have raised the issue of themodalityof the fundamental structures of the world. Although the debate so far has been largely focused on the (alleged) inherent causal character of fundamental structures, one aspect of it has naturally taken its place as part of the dispositional/categorical debate. In this paper, I focus on the latter in the case of the fundamentalsymmetrystructures. After putting forward the necessary metaphysical presuppositions for the debate to make sense, I (...)
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  • Inference to the Best explanation.Peter Lipton - 2004 - In Martin Curd & Stathis Psillos (eds.), The Routledge Companion to Philosophy of Science. Routledge. pp. 193.
    Science depends on judgments of the bearing of evidence on theory. Scientists must judge whether an observation or the result of an experiment supports, disconfirms, or is simply irrelevant to a given hypothesis. Similarly, scientists may judge that, given all the available evidence, a hypothesis ought to be accepted as correct or nearly so, rejected as false, or neither. Occasionally, these evidential judgments can be made on deductive grounds. If an experimental result strictly contradicts a hypothesis, then the truth of (...)
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  • Presentism and the Myth of Passage.Lisa Leininger - 2015 - Australasian Journal of Philosophy 93 (4):724-739.
    Presentism is held by most to be the intuitive theory of time, due in large part to the view's supposed preservation of time's passage. In this paper, I strike a blow against presentism's intuitive pull by showing how the presentist, contrary to overwhelming popular belief, is unable to establish temporal change upon which the passage of time is based. I begin by arguing that the presentist's two central ontological commitments, the Present Thesis and the Change Thesis, are incompatible. The main (...)
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  • Coordination and Coming to Be.Lisa Leininger - 2021 - Australasian Journal of Philosophy 101 (1):213-227.
    ABSTRACT The following are purported to be common-sense features of the world: time’s passage, the unreality of the future, the existence of ‘genuine’ change. All of these common-sense features are accommodated by accepting the phenomenon of absolute becoming, a view of temporal passage in which the unreal future comes into existence in the present. Indeed, most philosophers who lay claim to common-sense views of time accept absolute becoming. I argue that absolute becoming has deeply unintuitive consequences. Specifically, proponents of absolute (...)
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  • Regularities, Degrees of Necessity, and Dispositionalism.Xavi Lanao - 2020 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 51 (4):513-524.
    Traditionally, philosophers have cashed out the distinction between law-like and accidental regularities sharply: a regularity is either law-like, and thereby necessary, or accidental. However, Mitchell and Lange have drawn attention to the fact that some law-like regularities come in different degrees of necessity. For instance, the regularity expressed by “all electrons are negatively charged” has a greater degree of necessity than the one expressed by “all mammals are warm-blooded”, even if both of them are true. Moreover, Mitchell argues that the (...)
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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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  • How can instantaneous velocity fulfill its causal role?Marc Lange - 2005 - Philosophical Review 114 (4):433-468.
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  • Fall and Rise of Aristotelian Metaphysics in the Philosophy of Science.John Lamont - 2009 - Science & Education 18 (6-7):861-884.
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  • Laws and Counterfactuals: Defusing an Argument against the Humean View of Laws.Kaave Lajevardi - 2011 - Dialogue 50 (4):751-758.
    ABSTRACT: Appealing to the failure of counterfactual support is a standard device in refuting a Humean view on laws of nature: some true generalisations do not support relevant counterfactuals; therefore not every true general fact is a law of nature—so goes the refutation. I will argue that this strategy does not work, for our understanding of the truth-value of any counterfactual is grounded in our understanding of the lawhood of some statements related to it.
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  • O slabej a silnej empirickej nevyhnutnosti.Tomáš Károly - 2022 - Pro-Fil 23 (1):28-42.
    ABOUT WEAK AND STRONG EMPIRICAL NECCESSITY. CATEGORICAL, DISPOSITIONAL PROPERTIES AND LAWS OF NATURE Pohľady na empirickú nevyhnutnosť možno rozdeliť do dvoch skupín: teórie slabej nevyhnutnosti a teórie silnej nevyhnutnosti. Do prvej teórie patria koncepcie, ktoré uvažujú svet zložený z pasívnych vlastností, akými sú kategorické vlastnosti. Za zmeny vo svete sú zodpovedné zákony prírody, ktoré sa od možného sveta k svetu líšia, a preto aj prejavy týchto vlastností sú odlišné. Druhú teóriu, teóriu silnej nevyhnutnosti, zastávajú filozofi, ktorí predpokladajú existenciu silovo aktívnych (...)
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  • O slabej a silnej empirickej nevyhnutnosti.Tomáš Károly - 2022 - Pro-Fil 23 (1):28-42.
    ABOUT WEAK AND STRONG EMPIRICAL NECCESSITY. CATEGORICAL, DISPOSITIONAL PROPERTIES AND LAWS OF NATURE Pohľady na empirickú nevyhnutnosť možno rozdeliť do dvoch skupín: teórie slabej nevyhnutnosti a teórie silnej nevyhnutnosti. Do prvej teórie patria koncepcie, ktoré uvažujú svet zložený z pasívnych vlastností, akými sú kategorické vlastnosti. Za zmeny vo svete sú zodpovedné zákony prírody, ktoré sa od možného sveta k svetu líšia, a preto aj prejavy týchto vlastností sú odlišné. Druhú teóriu, teóriu silnej nevyhnutnosti, zastávajú filozofi, ktorí predpokladajú existenciu silovo aktívnych (...)
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  • There Is No Distinctively Semantic Circularity Objection to Humean Laws.David Mark Kovacs - 2021 - Canadian Journal of Philosophy 51 (4):270-281.
    Humeans identify the laws of nature with universal generalizations that systematize rather than govern the particular matters of fact. Humeanism is frequently accused of circularity: laws explain their instances, but Humean laws are, in turn, grounded by those instances. Unfortunately, this argument trades on controversial assumptions about grounding and explanation that Humeans routinely reject. However, recently an ostensibly semantic circularity objection has been offered, which seeks to avoid reading such assumptions into the Humean view. This paper argues that the new (...)
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  • The oldest solution to the circularity problem for Humeanism about the laws of nature.David Mark Kovacs - 2020 - Synthese 198 (9):1-21.
    According to Humeanism about the laws, the laws of nature are nothing over and above certain kinds of regularities about particular facts. Humeanism has often been accused of circularity: according to scientific practice laws often explain their instances, but on the Humean view they also reduce to the mosaic, which includes those instances. In this paper I formulate the circularity problem in a way that avoids a number of controversial assumptions routinely taken for granted in the literature, and against which (...)
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  • Reconsidering the Dispositional Essentialist Canon.Samuel Kimpton-Nye - 2021 - Philosophical Studies 178 (10):3421-3441.
    Dispositional Essentialism is a unified anti-Humean account of the metaphysics of low-level physical properties and laws of nature. In this paper, I articulate the view that I label Canonical Dispositional Essentialism, which comprises a structuralist metaphysics of properties and an account of laws as relations in the property structure. I then present an alternative anti-Humean account of properties and laws. This account rejects CDE’s structuralist metaphysics of properties in favour of a view of properties as qualitative grounds of dispositions and (...)
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  • Humean Laws in an unHumean World.Samuel Kimpton-nye - 2017 - Journal of the American Philosophical Association 3 (2):129-147.
    I argue that an unHumean ontology of irreducibly dispositional properties might be fruitfully combined with what has typically been thought of as a Humean account of laws, namely, the best-system account, made popular by David Lewis (e.g., 1983, 1986, 1994). In this paper I provide the details of what I argue is the most defensible account of Humean laws in an unHumean world. This package of views has the benefits of upholding scientific realism while doing without any suspect metaphysical entities (...)
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  • ‘Natures’ and ‘Laws’: The making of the concept of law of nature – Robert Grosseteste (c. 1168–1253) and Roger Bacon.Yael Kedar & Giora Hon - 2017 - Studies in History and Philosophy of Science Part A 61:21-31.
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  • ‘Natures’ and ‘Laws’: The making of the concept of law of nature – Robert Grosseteste (c. 1168–1253) and Roger Bacon.Yael Kedar & Giora Hon - 2017 - Studies in History and Philosophy of Science Part A 61:21-31.
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  • On what powers cannot do.Joel Katzav - 2005 - Dialectica 59 (3):331–345.
    Dispositionalism is the view that the world is, ultimately, just a world of objects and their irreducible dispositions, and that such dispositions are, ultimately, the sole explanatory ground for the occurrence of events. This view is motivated, partly, by arguing that it affords, while non‐necessitarian views of laws of nature do not afford, an adequate account of our intuitions about which regularities are non‐accidental. I, however, argue that dispositionalism cannot adequately account for our intuitions about which regularities are non‐accidental. Further, (...)
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  • On What Powers Cannot Do.Joel Katzav - 2005 - Dialectica 59 (3):331-345.
    Dispositionalism is the view that the world is, ultimately, just a world of objects and their irreducible dispositions, and that such dispositions are, ultimately, the sole explanatory ground for the occurrence of events. This view is motivated, partly, by arguing that it affords, while non‐necessitarian views of laws of nature do not afford, an adequate account of our intuitions about which regularities are non‐accidental. I, however, argue that dispositionalism cannot adequately account for our intuitions about which regularities are non‐accidental. Further, (...)
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  • Possibility. By Michael Jubien. Oxford: Oxford University Press, 2009. Pp. xv + 202.Amy Karofsky - 2011 - Metaphilosophy 42 (5):723-733.
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  • Adolf Grünbaum on the Steady-State Theory and Creatio Continua of Matter Out of Nothing.Mirsaeid Mousavi Karimi - 2011 - Zygon 46 (4):857-871.
    The ideas of creatio ex nihilo of the universe and creatio continua of new matter out of nothing entered the arena of natural science with the advent of the Big Bang and the steady-state theories in the mid-twentieth century. Adolf Grünbaum has tried to interpret the steady-state theory in such a way, to show that the continuous formation of new matter out of nothing in this theory can be explained purely physically. In this paper, however, it will be shown that (...)
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  • The priority of internal symmetries in particle physics.Aharon Kantorovich - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (4):651-675.
    In this paper, I try to decipher the role of internal symmetries in the ontological maze of particle physics. The relationship between internal symmetries and laws of nature is discussed within the framework of “Platonic realism.” The notion of physical “structure” is introduced as representing a deeper ontological layer behind the observable world. I argue that an internal symmetry is a structure encompassing laws of nature. The application of internal symmetry groups to particle physics came about in two revolutionary steps. (...)
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  • Ontic Structuralism and the Symmetries of Particle Physics.Aharon Kantorovich - 2009 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 40 (1):73-84.
    According to structural realism, in mature science there is structural continuity along theoretical change. A major counterexample to this thesis is the transition from the Eightfold Way to the Standard Model in particle physics. Nevertheless, the notion of structure is significantly important in comprehending the theoretical picture of particle physics, where particles change and undergo transmutations, while the only thing which remains unchanged is the basic structure, i.e. the symmetry group which controls the transmutations. This kind of view agrees with (...)
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  • The Dretske–Tooley–Armstrong theory of natural laws and the inference problem.Joan Page`S. - 2002 - International Studies in the Philosophy of Science 16 (3):227-243.
    In this article I intend to show that the inference problem, one of the main objections raised against the anti-Humean theory of natural laws defended by Dretske, Tooley and Armstrong (?DTA theory? for short), can be successfully answered. First, I argue that a proper solution should meet two essential requirements that the proposals made by the DTA theorists do not satisfy. Then I state a solution to the inference problem that assumes a local immanentistic view of universals, a partial definition (...)
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  • Humean supervenience and best-system laws.Lydia Jaeger - 2002 - International Studies in the Philosophy of Science 16 (2):141 – 155.
    David Lewis has proposed an analysis of lawhood in terms of membership of a system of regularities optimizing simplicity and strength in information content. This article studies his proposal against the broader background of the project of Humean supervenience. In particular, I claim that, in Lewis's account of lawhood, his intuition about small deviations from a given law in nearby worlds (in order to avoid backtracking and epiphenomena) leads to the conclusion that laws do not support (certain) counterfactuals and do (...)
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  • No laws and (thin) powers in, no (governing) laws out.Stavros Ioannidis, Vassilis Livanios & Stathis Psillos - 2021 - European Journal for Philosophy of Science 11 (1):1-26.
    Non-Humean accounts of the metaphysics of nature posit either laws or powers in order to account for natural necessity and world-order. We argue that such monistic views face fundamental problems. On the one hand, neo-Aristotelians cannot give unproblematic power-based accounts of the functional laws among quantities offered by physical theories, as well as of the place of conservation laws and symmetries in a lawless ontology; in order to capture these characteristics, commitment to governing laws is indispensable. On the other hand, (...)
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  • Nomic necessity is cross-theoretic.H.-C. Hung - 1981 - British Journal for the Philosophy of Science 32 (3):219-236.
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  • Causation as simultaneous and continuous.Michael Huemer & Ben Kovitz - 2003 - Philosophical Quarterly 53 (213):556–565.
    We propose that all actual causes are simultaneous with their direct effects, as illustrated by both everyday examples and the laws of physics. We contrast this view with the sequential conception of causation, according to which causes must occur prior to their effects. The key difference between the two views of causation lies in differing assumptions about the mathematical structure of time.
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  • Biological modalities.Maximilian Huber - unknown
    Biological modalities (e.g., biological possibility, necessity and counterfactuality) play an important explanatory role in biological practice. However, biological modalities lack truth conditions and the inferential relationship between biological and other modalities is unclear. This thesis addresses these problems, first, by improving upon Daniel Dennett's Library of Mendel. Second, a family of modal logics is introduced. In the simplest model, states are interpreted as codons, the binary relation is interpreted as single substitution mutation and the valuation induces a partition of blocks (...)
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