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Foundations: Essays in Philosophy, Logic, Mathematics, and Economics

Atlantic Highlands, N.J.: Humanties Press; Routledge (1978)

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  1. Keynes's Changing Conception of Probability.Bradley W. Bateman - 1987 - Economics and Philosophy 3 (1):97-119.
    One of the most actively discussed aspects of Keynes's thought during the last decade has been his concern with uncertainty and probability theory. As the concerns of current macroeconomic theorists have turned increasingly to the effects of expectations and uncertainty, interest has grown in the fact that Keynes was the author of A Treatise on Probability and that uncertainty plays a prominent role in Chapter 12 of The General Theory as well as in three 1937 papers in which he summarized (...)
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  • How do causes depend on us? The many faces of perspectivalism.Jenann Ismael - 2016 - Synthese 193 (1):245-267.
    Huw Price has argued that on an interventionist account of cause the distinction is perspectival, and the claim prompted some interesting responses from interventionists and in particular an exchange with Woodward that raises questions about what it means to say that one or another structure is perspectival. I’ll introduce his reasons for claiming that the distinction between cause and effect on an interventionist account is perspectival. Then I’ll introduce a distinction between different ways in which a class of concepts can (...)
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  • Why believe the truth? Shah and Velleman on the aim of belief.José L. Zalabardo - 2010 - Philosophical Explorations 13 (1):1 - 21.
    The subject matter of this paper is the view that it is correct, in an absolute sense, to believe a proposition just in case the proposition is true. I take issue with arguments in support of this view put forward by Nishi Shah and David Velleman.
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  • Математизирането на историята: число и битие.Vasil Penchev - 2013 - Sofia: BAS: ISSk (IPR).
    The book is a philosophical refection on the possibility of mathematical history. Are poosible models of historical phenomena so exact as those of physical ones? Mathematical models borrowed from quantum mechanics by the meditation of its interpretations are accomodated to history. The conjecture of many-variant history, alternative history, or counterfactual history is necessary for mathematical history. Conclusions about philosophy of history are inferred.
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  • Отвъд машината на Тюринг: квантовият компютър.Vasil Penchev - 2014 - Sofia: BAS: ISSK (IPS).
    Quantum computer is considered as a generalization of Turing machine. The bits are substituted by qubits. In turn, a "qubit" is the generalization of "bit" referring to infinite sets or series. It extends the consept of calculation from finite processes and algorithms to infinite ones, impossible as to any Turing machines (such as our computers). However, the concept of quantum computer mets all paradoxes of infinity such as Gödel's incompletness theorems (1931), etc. A philosophical reflection on how quantum computer might (...)
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  • Философия на квантовата информация.Vasil Penchev - 2009 - Sofia: BAS: IPhR.
    The book is devoted to the contemporary stage of quantum mechanics – quantum information, and especially to its philosophical interpretation and comprehension: the first one of a series monographs about the philosophy of quantum information. The second will consider Be l l ’ s inequalities, their modified variants and similar to them relations. The beginning of quantum information was in the thirties of the last century. Its speed development has started over the last two decades. The main phenomenon is entanglement. (...)
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  • The Evolutionary Relevance of Abstraction and Representation.Andrew M. Winters - 2014 - Biosemiotics 7 (1):125-139.
    This paper investigates the roles that abstraction and representation have in activities associated with language. Activities such as associative learning and counting require both the abilities to abstract from and accurately represent the environment. These activities are successfully carried out among vocal learners aside from humans, thereby suggesting that nonhuman animals share something like our capacity for abstraction and representation. The identification of these capabilities in other species provides additional insights into the development of language.
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  • Knowledge of Counterfactuals.Timothy Williamson - 2009 - Royal Institute of Philosophy Supplement 64:45-64.
    The full-text of this book chapter is not available in ORA. Citation: Williamson, T.. Knowledge of counterfactuals. In: O'Hear, A. Epistemology. Cambridge: Cambridge University Press, pp. 45-64.
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  • A Reasonable Frugality.David Wiggins - 2011 - Royal Institute of Philosophy Supplement 69:175-200.
    1. I begin with a citation from Our Final Century . Its author is Sir Martin Rees, the current President of the Royal Society. A race of scientifically advanced extra-terrestrials watching our solar system could confidently [have predicted] that Earth would face doom in another 6 billion years, when the sun in its death throes swells up into a ‘red giant’ and vaporizes everything remaining on our planet's surface. But could they have predicted this unprecedented spasm [visible already] less than (...)
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  • Satisficing, preferences, and social interaction: a new perspective.Wynn C. Stirling & Teppo Felin - 2016 - Theory and Decision 81 (2):279-308.
    Satisficing is a central concept in both individual and social multiagent decision making. In this paper we first extend the notion of satisficing by formally modeling the tradeoff between costs and decision failure. Second, we extend this notion of “neo”-satisficing into the context of social or multiagent decision making and interaction, and model the social conditioning of preferences in a satisficing framework.
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  • 'Could have done otherwise', action sentences and anaphora.Helen Steward - 2006 - Analysis 66 (2):95–101.
    This paper argues that there are a number of different things that could be meant by the claim that a given agent 'could have done otherwise', because there are multiple ways of disambiguating the various anaphoric devices which are contained in the phrase. It goes on to suggest that on at least one of these disambiguations, the claim that a Frankfurtian agent could have done otherwise might be defensible, even given the presence of a counterfactual intervener who will ensure that (...)
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  • A Ranking‐Theoretic Approach to Conditionals.Wolfgang Spohn - 2013 - Cognitive Science 37 (6):1074-1106.
    Conditionals somehow express conditional beliefs. However, conditional belief is a bi-propositional attitude that is generally not truth-evaluable, in contrast to unconditional belief. Therefore, this article opts for an expressivistic semantics for conditionals, grounds this semantics in the arguably most adequate account of conditional belief, that is, ranking theory, and dismisses probability theory for that purpose, because probabilities cannot represent belief. Various expressive options are then explained in terms of ranking theory, with the intention to set out a general interpretive scheme (...)
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  • Ontological realism: A methodology for coordinated evolution of scientific ontologies.Barry Smith & Werner Ceusters - 2010 - Applied ontology 5 (3):139-188.
    Since 2002 we have been testing and refining a methodology for ontology development that is now being used by multiple groups of researchers in different life science domains. Gary Merrill, in a recent paper in this journal, describes some of the reasons why this methodology has been found attractive by researchers in the biological and biomedical sciences. At the same time he assails the methodology on philosophical grounds, focusing specifically on our recommendation that ontologies developed for scientific purposes should be (...)
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  • Ramsey's tests.B. H. Slater - 2004 - Synthese 141 (3):431-444.
    This paper starts by criticising some olderaccounts of conditionals based on the so-called `Ramsey Test', and ends by proposing their replacement, in part with a material account, in part with a probabilistic account using epsilon terms. The combined replacement is in fact closer to Ramsey's ideas. But there is also a resemblance between the latter and a more recent account of conditionals, which relates some of them to causality. The comparison provides a basis for assessment of the proposed replacement.
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  • Introduction: Lessons from the Scientific Butchery.Matthew H. Slater & Andrea Borghini - 2013 - In Joseph Keim Campbell, Michael O'Rourke & Matthew H. Slater (eds.), Carving Nature at its Joints: Natural Kinds in Metaphysics and Science. MIT Press.
    Good chefs know the importance of maintaining sharp knives in the kitchen. What’s their secret? A well-worn Taoist allegory offers some advice. The king asks about his butcher’s impressive knifework. “Ordinary butchers,” he replied “hack their way through the animal. Thus their knife always needs sharpening. My father taught me the Taoist way. I merely lay the knife by the natural openings and let it find its own way through. Thus it never needs sharpening” (Kahn 1995, vii; see also Watson (...)
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  • Getting rid of interventions.Alexander Reutlinger - 2012 - Studies in History and Philosophy of Science Part C: Studies in History and Philosophy of Biological and Biomedical Sciences 43 (4):787-795.
    According to James Woodward’s influential interventionist account of causation, X is a cause of Y iff, roughly, there is a possible intervention on X that changes Y. Woodward requires that interventions be merely logically possible. I will argue for two claims against this modal character of interventions: First, merely logically possible interventions are dispensable for the semantic project of providing an account of the meaning of causal statements. If interventions are indeed dispensable, the interventionist theory collapses into a counterfactual theory (...)
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  • Against causal decision theory.Huw Price - 1986 - Synthese 67 (2):195 - 212.
    Proponents of causal decision theories argue that classical Bayesian decision theory (BDT) gives the wrong advice in certain types of cases, of which the clearest and commonest are the medical Newcomb problems. I defend BDT, invoking a familiar principle of statistical inference to show that in such cases a free agent cannot take the contemplated action to be probabilistically relevant to its causes (so that BDT gives the right answer). I argue that my defence does better than those of Ellery (...)
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  • An Overview of Type Theories.Nino Guallart - 2015 - Axiomathes 25 (1):61-77.
    Pure type systems arise as a generalisation of simply typed lambda calculus. The contemporary development of mathematics has renewed the interest in type theories, as they are not just the object of mere historical research, but have an active role in the development of computational science and core mathematics. It is worth exploring some of them in depth, particularly predicative Martin-Löf’s intuitionistic type theory and impredicative Coquand’s calculus of constructions. The logical and philosophical differences and similarities between them will be (...)
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  • Descriptive Rules and Normativity.Adriana Placani - 2020 - Disputatio 12 (57):167-180.
    This work offers a challenge to the orthodox view that descriptive rules are non-normative and passive in their role and usage. It does so by arguing that, although lacking in normativity themselves, descriptive rules can be sources of normativity by way of the normative attitudes that can develop around them. That is, although descriptive rules typically depict how things are, they can also play a role in how things ought to be. In this way, the limited role that this type (...)
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  • Critical studies / book reviews.Fabrice Pataut - 2004 - Philosophia Mathematica 12 (3):268-278.
  • Alexy on Necessity in Law and Morals.Dennis Patterson - 2012 - Ratio Juris 25 (1):47-58.
    Robert Alexy has built his original theory of law upon pervasive claims for “necessary” features of law. In this article, I show that Alexy's claims suffer from two difficulties. First, Alexy is never clear about what he means by “necessity.” Second, Alexy writes as if there have been no challenges to claims of conceptual necessity. There have been such challenges and Alexy needs to answer them if his project is to succeed.
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  • Belief-Desire Explanation.Nikolaj Nottelmann - 2011 - Philosophy Compass 6 (12):912-921.
    Theses claiming a constitutive or necessary role for belief-desire pairs in the rationalizing, motivation or explanation of action, are generally known as Humean. The main purpose of this short paper is clearly to present the basic versions of Humeanism and lay bare their commitments and interrelations in preparation for a short general introduction to the debate over belief-desire explanation of action. After this, some influential arguments for and against a Humean account of action explanation are briefly discussed.
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  • Causation as a secondary quality.Peter Menzies & Huw Price - 1993 - British Journal for the Philosophy of Science 44 (2):187-203.
    In this paper we defend the view that the ordinary notions of cause and effect have a direct and essential connection with our ability to intervene in the world as agents.1 This is a well known but rather unpopular philosophical approach to causation, often called the manipulability theory. In the interests of brevity and accuracy, we prefer to call it the agency theory.2 Thus the central thesis of an agency account of causation is something like this: an event A is (...)
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  • Wittgenstein and Brouwer.Mathieu Marion - 2003 - Synthese 137 (1-2):103 - 127.
    In this paper, I present a summary of the philosophical relationship betweenWittgenstein and Brouwer, taking as my point of departure Brouwer's lecture onMarch 10, 1928 in Vienna. I argue that Wittgenstein having at that stage not doneserious philosophical work for years, if one is to understand the impact of thatlecture on him, it is better to compare its content with the remarks on logics andmathematics in the Tractactus. I thus show that Wittgenstein's position, in theTractactus, was already quite close to (...)
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  • Wittgenstein and finitism.Mathieu Marion - 1995 - Synthese 105 (2):141 - 176.
    In this paper, elementary but hitherto overlooked connections are established between Wittgenstein's remarks on mathematics, written during his transitional period, and free-variable finitism. After giving a brief description of theTractatus Logico-Philosophicus on quantifiers and generality, I present in the first section Wittgenstein's rejection of quantification theory and his account of general arithmetical propositions, to use modern jargon, as claims (as opposed to statements). As in Skolem's primitive recursive arithmetic and Goodstein's equational calculus, Wittgenstein represented generality by the use of free (...)
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  • The physics and the philosophy of time reversal in standard quantum mechanics.Cristian López - 2021 - Synthese 199 (5-6):14267-14292.
    A widespread view in physics holds that the implementation of time reversal in standard quantum mechanics must be given by an anti-unitary operator. In foundations and philosophy of physics, however, there has been some discussion about the conceptual grounds of this orthodoxy, largely relying on either its obviousness or its mathematical-physical virtues. My aim in this paper is to substantively change the traditional structure of the debate by highlighting the philosophical commitments underlying the orthodoxy. I argue that the persuasive force (...)
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  • Dynamic doxastic logic: why, how, and where to?Hannes Leitgeb & Krister Segerberg - 2007 - Synthese 155 (2):167-190.
    We investigate the research programme of dynamic doxastic logic (DDL) and analyze its underlying methodology. The Ramsey test for conditionals is used to characterize the logical and philosophical differences between two paradigmatic systems, AGM and KGM, which we develop and compare axiomatically and semantically. The importance of Gärdenfors’s impossibility result on the Ramsey test is highlighted by a comparison with Arrow’s impossibility result on social choice. We end with an outlook on the prospects and the future of DDL.
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  • Laws beyond spacetime.Vincent Lam & Christian Wüthrich - 2023 - Synthese 202 (3):1-24.
    Quantum gravity’s suggestion that spacetime may be emergent and so only exist contingently would force a radical reconception of extant analyses of laws of nature. Humeanism presupposes a spatiotemporal mosaic of particular matters of fact on which laws supervene; primitivism and dispositionalism conceive of the action of primitive laws or of dispositions as a process of ‘nomic production’ unfolding over time. We show how the Humean supervenience basis of non-modal facts and primitivist or dispositionalist accounts of nomic production can be (...)
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  • Conditional predictions.Stefan Kaufmann - 2005 - Linguistics and Philosophy 28 (2):181 - 231.
    The connection between the probabilities of conditionals and the corresponding conditional probabilities has long been explored in the philosophical literature, but its implementation faces both technical obstacles and objections on empirical grounds. In this paper I ?rst outline the motivation for the probabilistic turn and Lewis’ triviality results, which stand in the way of what would seem to be its most straightforward implementation. I then focus on Richard Jeffrey’s ’random-variable’ approach, which circumvents these problems by giving up the notion that (...)
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  • Determinism, Physical Possibility, and Laws of Nature.Balázs Gyenis - 2020 - Foundations of Physics 50 (6):568-581.
    We call attention to different formulations of how physical laws relate to what is physically possible in the philosophical literature, and argue that it may be the case that determinism fails under one formulation but reigns under the other. Whether this is so depends on our view on the nature of laws, and may also depend on the inter-theoretical relationships among our best physical theories, or so shall we argue.
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  • On failing to assert: Reply to David Sherry.Laurence Goldstein - 2004 - Philosophia 31 (3-4):579-588.
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  • Humean time-reversal symmetry.Michael Esfeld & Cristian López - 2023 - Synthese 202 (2):1-19.
    In this paper, we put forward an alternative interpretation of time-reversal symmetry in philosophy of physics: Humean time-reversal symmetry. According to it, time-reversal symmetry is understood as a heuristic, epistemic virtue of the best system, not as a property of the Humean mosaic. One of the consequences of this view is that one of the main arguments against a primitive direction of time is rendered harmless, which paves the way for primitivism about the direction of time.
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  • Keynes, Rawls, Uncertainty, and the Liberal Theory of the State.Edward McKenna, Maurice Wade & Diane Zannoni - 1988 - Economics and Philosophy 4 (2):221.
    What role, if any, should the government perform in a society? Two very different answers to this question have been provided by John Rawls and Robert Nozick. For Rawls, the government plays an important role in ensuring that the principles of justice are realized in the workings of society. For Nozick, the role of government is limited to that of providing protection. The debate over these two views has led to the questioning of the entire liberal doctrine, a questioning that (...)
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  • Pandora Logic: Rules, Moral Judgement and the Fundamental Principles of Olympism.Leon Culbertson - 2012 - Sport, Ethics and Philosophy 6 (2):195-210.
    This article is concerned with the role of moral principles, specifically the Fundamental Principles of Olympism, in the judgements of the International Olympic Committee (IOC) on matters of performance enhancement. The article begins with two pairs of distinctions, that between moral judgements and morally-laden judgements, and that between the moral judgement of cases and the ethical environment of a society. The article is concerned with working through the implications of those distinctions in the context of the IOC's judgements on performance (...)
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  • Representation theorems and the semantics of decision-theoretic concepts.Mikaël Cozic & Brian Hill - 2015 - Journal of Economic Methodology 22 (3):292-311.
    Contemporary decision theory places crucial emphasis on a family of mathematical results called representation theorems, which relate criteria for evaluating the available options to axioms pertaining to the decision-maker’s preferences. Various claims have been made concerning the reasons for the importance of these results. The goal of this article is to assess their semantic role: representation theorems are purported to provide definitions of the decision-theoretic concepts involved in the evaluation criteria. In particular, this claim shall be examined from the perspective (...)
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  • Une grammaire de l'incomplétude référentielle: la logique intensionnelle des Principia Mathematica.Jocelyne Couture - 1983 - Dialogue 22 (1):69-90.
    Cet article s'ajoute à la liste déjà longue de ceux qui traitent des rapports entre la théorie russellienne des descriptions définies et la théorie ramifiée des types. Seule la prétention d'aborder cette question dans une perspective nouvelle justifie ici sa présence: d'une part, la théorie des descriptions définies sera resituée dans le contexte initial et souvent méconnu de la théorie des expressions dénotantes et d'autre part, c'est à la logique intensionnelle de Russell, objet d'une méconnaissance au moins égale, que nous (...)
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  • Functionalism and The Independence Problems.Darren Bradley - 2013 - Noûs 47 (1):545-557.
    The independence problems for functionalism stem from the worry that if functional properties are defined in terms of their causes and effects then such functional properties seem to be too intimately connected to these purported causes and effects. I distinguish three different ways the independence problems can be filled out – in terms of necessary connections, analytic connections and vacuous explanations. I argue that none of these present serious problems. Instead, they bring out some important and over-looked features of functionalism.
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  • The logical study of science.Johan Benthem - 1982 - Synthese 51 (3):431 - 472.
    The relation between logic and philosophy of science, often taken for granted, is in fact problematic. Although current fashionable criticisms of the usefulness of logic are usually mistaken, there are indeed difficulties which should be taken seriously — having to do, amongst other things, with different scientific mentalities in the two disciplines (section 1). Nevertheless, logic is, or should be, a vital part of the theory of science. To make this clear, the bulk of this paper is devoted to the (...)
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  • Utility: Ideas and Terminology.Amartya Sen - 1991 - Economics and Philosophy 7 (2):277.
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  • Cambridge and Vienna: Frank P. Ramsey and the Vienna Circle.Maria Carla Galavotti (ed.) - 2004 - Dordrecht: Springer Verlag.
    The Institute Vienna Circle held a conference in Vienna in 2003, Cambridge and Vienna a?
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  • The Method of Speculative Philosophy - An Essay on the Foundations of Whitehead's Metaphysics.Johan Isaac Siebers - unknown
    Philosophy becomes speculative when it raises questions about the ultimate nature of being and thought. What does it mean to be? What does it mean to think? How are being and thought related? What does it mean to ask these questions? These questions have occupied a central place in philosophy throughout history, but have led a shadow existence in twentieth-century thought, which has cut the tie between reason and these fundamental questions, leaving the questions in the twilight, and reason instrumentalised. (...)
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  • Taking Control : The role of manipulation in theories of causation.Henning Strandin - 2019 - Dissertation, Stockholm University
    Causation has always been a philosophically controversial subject matter. While David Hume’s empiricist account of causation has been the dominant influence in analytic philosophy and science during modern times, a minority view has instead connected causation essentially to agency and manipulation. A related approach has for the first time gained widespread popularity in recent years, due to new powerful theories of causal inference in science that are based in a technical notion of intervention, and James Woodward’s closely connected interventionist theory (...)
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  • The time-asymmetry of causation.Huw Price & Brad Weslake - 2008 - In Helen Beebee, Peter Menzies & Christopher Hitchcock (eds.), The Oxford Handbook of Causation. Oxford: Oxford University Press. pp. 414-443.
    One of the most striking features of causation is that causes typically precede their effects – the causal arrow is strongly aligned with the temporal arrow. Why should this be so? We offer an opinionated guide to this problem, and to the solutions currently on offer. We conclude that the most promising strategy is to begin with the de facto asymmetry of human deliberation, characterised in epistemic terms, and to build out from there. More than any rival, this subjectivist approach (...)
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  • Revaluing Laws of Nature in Secularized Science.Eli I. Lichtenstein - 2022 - In Yemima Ben-Menahem (ed.), Rethinking the Concept of Law of Nature: Natural Order in the Light of Contemporary Science. Springer. pp. 347-377.
    Discovering laws of nature was a way to worship a law-giving God, during the Scientific Revolution. So why should we consider it worthwhile now, in our own more secularized science? For historical perspective, I examine two competing early modern theological traditions that related laws of nature to different divine attributes, and their secular legacy in views ranging from Kant and Nietzsche to Humean and ‘governing’ accounts in recent analytic metaphysics. Tracing these branching offshoots of ethically charged God-concepts sheds light on (...)
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  • God et al—World-Making as Collaborative Improvisation: New Metaphors for Open Theists.Mark Steen - 2021 - In Jeffrey Koperski & Kelly James Clark (eds.), Abrahamic Reflections on Randomness and Providence. Cham, Switzerland: pp. 311-338.
    The Abrahamic traditions regard God as the world’s author. But what kind of author? A novelist? A playwright? Perhaps a composer of classical music? I will argue that it is best to regard God as like an improvisational play director or the leader of a jazz ensemble. Each determines the broad melodic contours or coarse-grained plot beforehand, while allowing their musicians or actors, and chance, to fill in the more fine-grained details. This analogy allows us to regard God as the (...)
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  • Concepts of Law of Nature.Brendan Shea - 2011 - Dissertation, University of Illinois
    Over the past 50 years, there has been a great deal of philosophical interest in laws of nature, perhaps because of the essential role that laws play in the formulation of, and proposed solutions to, a number of perennial philosophical problems. For example, many have thought that a satisfactory account of laws could be used to resolve thorny issues concerning explanation, causation, free-will, probability, and counterfactual truth. Moreover, interest in laws of nature is not constrained to metaphysics or philosophy of (...)
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  • Reason Dethroned; Knowledge Regained.James Arthur Moore - 1991 - Dissertation, University of Pittsburgh
    Hume held that we have no rational justification for our inductive beliefs. A more radical view is that we have no rational justification for any of our beliefs. This dissertation has two goals pertaining to this more radical view. // The first goal is to find a basis for constructive epistemology that is consistent with this view. This goal is first sought by considering externalist theories of knowledge since these do not require rational justification for knowledge. Externalist theories are defended (...)
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  • Leis da Natureza.Eduardo Castro - 2013 - Compêndio Em Linha de Problemas de Filosofia Analítics.
    State of art paper on the topic laws of nature, around the problem of identification what is to be a law of nature. The most prominent theories of contemporary philosophical literature are discussed and analysed, such as: the simple regularity theory, from Hume; the Mill-Ramsey-Lewis best systems theory; the Dretske-Tooley-Armstrong theory of laws as relations among universals; Ellis’s essentialist theory; Cartwright’s theory of laws as ceteris paribus laws; the anti-reductionist theories of Lange, Maudlin and Carroll, the anti-realist theories of Mumford, (...)
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  • On Putting Knowledge 'First'.Jonathan Ichikawa & C. S. I. Jenkins - 2017 - In Joseph Adam Carter, Emma C. Gordon & Benjamin Jarvis (eds.), Knowledge First: Approaches in Epistemology and Mind. Oxford University Press.
    There is a New Idea in epistemology. It goes by the name of ‘knowledge first,’ and it is particularly associated with Timothy Williamson’s book Knowledge and Its Limits. In slogan form, to put knowledge first is to treat knowledge as basic or fundamental, and to explain other states—belief, justification, maybe even content itself—in terms of knowledge, instead of vice versa. The idea has proven enormously interesting, and equally controversial. But deep foundational questions about its actual content remain relatively unexplored. We (...)
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  • Determinizmus és interpretáció.Balázs Gyenis - unknown
    We argue that the truth of determinism is not an interpretation-free fact and we systematically overview relevant interpretational choices that are less known in the philosophical literature. After bypassing the well known interpretational problem that arises in quantum mechanics we identify three further questions about the representational role of the mathematical structures employed by physical theories. Finally we point out that even if we settle all representational issues the received view of physical possibility may also allow the truth of determinism (...)
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