Results for 'Norton's material theory of induction'

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  1. A material theory of induction.John D. Norton - 2003 - Philosophy of Science 70 (4):647-670.
    Contrary to formal theories of induction, I argue that there are no universal inductive inference schemas. The inductive inferences of science are grounded in matters of fact that hold only in particular domains, so that all inductive inference is local. Some are so localized as to defy familiar characterization. Since inductive inference schemas are underwritten by facts, we can assess and control the inductive risk taken in an induction by investigating the warrant for its underwriting facts. In learning (...)
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  2. Some Worries for Norton’s Material Theory of Induction.Steffen Ducheyne - 2008 - Philosophia Naturalis 45 (1):37-46.
    In this essay, I take the role as friendly commentator and call attention to three potential worries for John D. Norton’s material theory of induction. I attempt to show that his “principle argument” is based on a false dichotomy, that the idea that facts ultimately derive their license from matters of fact is debatable, and that one of the core implications of his theory is untenable for historical and fundamental reasons.
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  3. History of Science and the Material Theory of Induction: Einstein’s Quanta, Mercury’s Perihelion.John D. Norton - 2007 - European Journal for Philosophy of Science 1 (1):3-27.
    The use of the material theory of induction to vindicate a scientist's claims of evidential warrant is illustrated with the cases of Einstein's thermodynamic argument for light quanta of 1905 and his recovery of the anomalous motion of Mercury from general relativity in 1915. In a survey of other accounts of inductive inference applied to these examples, I show that, if it is to succeed, each account must presume the same material facts as the material (...)
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  4.  43
    History of Science and the Material Theory of Induction: Einstein’s Quanta, Mercury’s Perihelion.John Norton - 2011
    The use of the material theory of induction to vindicate a scientist’s claims of evidential warrant is illustrated with the cases of Einstein’s thermodynamic argument for light quanta of 1905 and his recovery of the anomalous motion of Mercury from general relativity in 1915. In a survey of other accounts of inductive inference applied to these examples, I show that, if it is to succeed, each account must presume the same material facts as the material (...)
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  5.  80
    The Facts of the Matter: A Discussion of Norton’s Material Theory of Induction.Daniel Steel - 2005 - Philosophy of Science 72 (1):188-197.
    In a recent essay, John Norton proposes a material theory of induction, according to which all justification for inductive inference ultimately stems from the particular facts of the case at hand. Despite being sympathetic to the pluralistic spirit of this proposal, I argue that central controversies among leading theories of inductive inference turn not on material facts but upon normative judgments regarding the proper standards and aims of induction. Thus, a pluralistic approach to induction (...)
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  6.  36
    Inference to the best explanation and Norton's material theory of induction.Kevin Davey - 2021 - Studies in History and Philosophy of Science Part A 85:137-144.
  7. Reviving material theories of induction.John P. McCaskey - 2020 - Studies in History and Philosophy of Science Part A 83:1–7.
    John Norton says that philosophers have been led astray for thousands of years by their attempt to treat induction formally. He is correct that such an attempt has caused no end of trouble, but he is wrong about the history. There is a rich tradition of non-formal induction. In fact, material theories of induction prevailed all through antiquity and from the Renaissance to the mid-1800s. Recovering these past systems would not only fill lacunae in Norton’s own (...)
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  8. The material theory of induction and the epistemology of thought experiments.Michael T. Stuart - 2020 - Studies in History and Philosophy of Science Part A 83 (C):17-27.
    John D. Norton is responsible for a number of influential views in contemporary philosophy of science. This paper will discuss two of them. The material theory of induction claims that inductive arguments are ultimately justified by their material features, not their formal features. Thus, while a deductive argument can be valid irrespective of the content of the propositions that make up the argument, an inductive argument about, say, apples, will be justified (or not) depending on facts (...)
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  9.  60
    The Material Theory of Induction, by John Norton. [REVIEW]William Peden - 2022 - BJPS Review of Books.
    Even prior to its publication, John Norton’s book has stimulated debates about induction. Its publication will galvanize these discussions. Does it merit all this attention? Yes, and not just from philosophers of science. Practically all philosophers will find novel and thought-provoking ideas, with implications for their research.
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  10.  65
    The Material Theory of Induction at the Frontiers of Science.William Peden - 2022 - Episteme 19 (2):247-263.
    According to John D. Norton's Material Theory of Induction, all reasonable inductive inferences are justified in virtue of background knowledge about local uniformities in nature. These local uniformities indicate that our samples are likely to be representative of our target population in our inductions. However, a variety of critics have noted that there are many circumstances in which induction seems to be reasonable, yet such background knowledge is apparently absent. I call such absences ‘the frontiers (...)
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  11.  41
    The material theory of induction.John D. Norton - 2021 - Calgary, Alberta, Canada: University of Calgary Press.
    The inaugural title in the new, Open Access series BSPS Open, The Material Theory of Induction will initiate a new tradition in the analysis of inductive inference. The fundamental burden of a theory of inductive inference is to determine which are the good inductive inferences or relations of inductive support and why it is that they are so. The traditional approach is modeled on that taken in accounts of deductive inference. It seeks universally applicable schemas or (...)
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  12.  42
    A Material Solution to the Problem of Induction.John D. Norton - unknown
    In a formal theory of induction, inductive inferences are licensed by universal schemas. In a material theory of induction, inductive inferences are licensed by facts. With this change in the conception of the nature of induction, I argue that Hume’s celebrated “problem of induction” can no longer be set up and is thereby dissolved.
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  13.  89
    Direct Inference in the Material Theory of Induction.William Peden - 2019 - Philosophy of Science 86 (4):672-695.
    John D. Norton’s “Material Theory of Induction” has been one of the most intriguing recent additions to the philosophy of induction. Norton’s account appears to be a notably natural account of actual inductive practices, although his theory has attracted considerable criticism. I detail several novel issues for his theory but argue that supplementing the Material Theory with a theory of direct inference could address these problems. I argue that if this combination (...)
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  14. Explanatory reasoning in the material theory of induction.William Peden - 2022 - Metascience 31 (3):303-309.
    In his recent book, John Norton has created a theory of inference to the best explanation, within the context of his "material theory of induction". I apply it to the problem of scientific explanations that are false: if we want the theories in our explanations to be true, then why do historians and scientists often say that false theories explained phenomena? I also defend Norton's theory against some possible objections.
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  15. Does the Dome Defeat the Material Theory of Induction?William Peden - 2021 - Erkenntnis 88 (5):2171-2190.
    According to John D. Norton's Material Theory of Induction, all inductive inferences are justified by local facts, rather than their formal features or some grand principles of nature's uniformity. Recently, Richard Dawid (Found Phys 45(9):1101–1109, 2015) has offered a challenge to this theory: in an adaptation of Norton's own celebrated "Dome" thought experiment, it seems that there are certain inductions that are intuitively reasonable, but which do not have any local facts that could serve (...)
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  16.  26
    Norton's material theory of analogy.Paul Bartha - 2020 - Studies in History and Philosophy of Science Part A 82:104-113.
  17. A material dissolution of the problem of induction.John D. Norton - 2014 - Synthese 191 (4):1-20.
    In a formal theory of induction, inductive inferences are licensed by universal schemas. In a material theory of induction, inductive inferences are licensed by facts. With this change in the conception of the nature of induction, I argue that the celebrated “problem of induction” can no longer be set up and is thereby dissolved. Attempts to recreate the problem in the material theory of induction fail. They require relations of inductive (...)
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  18.  55
    A Hybrid Theory of Induction.Adrià Segarra - forthcoming - British Journal for the Philosophy of Science.
    There are two important traditions in the philosophy of induction. According to one tradition, which has dominated for the last couple of centuries, inductive arguments are warranted by rules. Bayesianism is the most popular view within this tradition. Rules of induction provide functional accounts of inductive support, but no rule is universal; hence, no rule is by itself an accurate model of inductive support. According to another tradition, inductive arguments are not warranted by rules but by matters of (...)
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  19. A little survey of induction.John D. Norton - 2005 - In Peter Achinstein (ed.), Scientific Evidence: Philosophical Theories and Applications. pp. 9-34.
    My purpose in this chapter is to survey some of the principal approaches to inductive inference in the philosophy of science literature. My first concern will be the general principles that underlie the many accounts of induction in this literature. When these accounts are considered in isolation, as is more commonly the case, it is easy to overlook that virtually all accounts depend on one of very few basic principles and that the proliferation of accounts can be understood as (...)
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  20.  92
    Historical Inductions Meet the Material Theory.Elay Shech - 2019 - Philosophy of Science 86 (5):918-929.
    Historical inductions, that is, the pessimistic metainduction and the problem of unconceived alternatives, are critically analyzed via John D. Norton’s material theory of induction and subsequently rejected as noncogent arguments. It is suggested that the material theory is amenable to a local version of the pessimistic metainduction, for example, in the context of some medical studies.
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  21. There Are No Universal Rules for Induction.John D. Norton - 2010 - Philosophy of Science 77 (5):765-777.
    In a material theory of induction, inductive inferences are warranted by facts that prevail locally. This approach, it is urged, is preferable to formal theories of induction in which the good inductive inferences are delineated as those conforming to some universal schema. An inductive inference problem concerning indeterministic, non-probabilistic systems in physics is posed and it is argued that Bayesians cannot responsibly analyze it, thereby demonstrating that the probability calculus is not the universal logic of (...). (shrink)
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  22.  9
    Inductive Inferences on Galactic Redshift, Understood Materially.John D. Norton - 2023 - In Cristián Soto (ed.), Current Debates in Philosophy of Science: In Honor of Roberto Torretti. Springer Verlag. pp. 227-246.
    A two-fold challenge faces any account of inductive inference. It must provide means to discern which are the good inductive inferences or which relations capture correctly the strength of inductive support. It must show us that those means are the right ones. Formal theories of inductive inference provide the means through universally applicable formal schema. They have failed, I argue, to meet either part of the challenge. In their place, I urge that background facts in each domain determine which are (...)
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  23.  32
    Thomas Reid on Adam Smith's Theory of Morals.David Fate Norton & J. C. Stewart-Robertson - 1980 - Journal of the History of Ideas 41 (3):381.
    In part one of our analysis of the unpublished lecture materials of thomas reid relating to adam smith, The authors touched on issues of provenance, Of manuscript description and arrangement, As well as of substance concerning reid's actual comments on smith. We have now provided as authentic a reproduction as possible of the relevant manuscript materials in the birkwood collection, Aberdeen, Arguing that there is a perceptible and studied order to reid's forceful objections.
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  24. Epistemology and Environmental Values.Bryan G. Norton - 1992 - The Monist 75 (2):208-226.
    Gifford Pinchot, the first official U.S. Forester, wrote: “There are just two things on this material earth—people and natural resources.” This philosophy apparently implies that all things other than people have only instrumental value. Environmentalists, even professional foresters, today believe that Gifford Pinchot’s system of forest management is both theoretically and practically inadequate. A difficult, and central, problem in the theory of environmental management is therefore to characterize exactly how Pinchot went wrong. If we knew that, we would (...)
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  25.  92
    Induction without probabilities.John D. Norton - 2006
    A simple indeterministic system is displayed and it is urged that we cannot responsibly infer inductively over it if we presume that the probability calculus is the appropriate logic of induction. The example illustrates the general thesis of a material theory of induction, that the logic appropriate to a particular domain is determined by the facts that prevail there.
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  26. Challenges to Bayesian Confirmation Theory.John D. Norton - 2011 - In Prasanta S. Bandyopadhyay & Malcolm R. Forster (eds.), Handbook of the Philosophy of Science, Vol. 7: Philosophy of Statistics. Elsevier B.V.. pp. 391-440.
    Proponents of Bayesian confirmation theory believe that they have the solution to a significant, recalcitrant problem in philosophy of science. It is the identification of the logic that governs evidence and its inductive bearing in science. That is the logic that lets us say that our catalog of planetary observations strongly confirms Copernicus’ heliocentric hypothesis; or that the fossil record is good evidence for the theory of evolution; or that the 3oK cosmic background radiation supports big bang cosmology. (...)
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  27. A Quantum Inductive Logic.John D. Norton - unknown
    The material theory of induction requires that good inductive inferences must be warranted by facts within their domain of application. In earlier chapters, we have seen many examples of individual inductive inferences warranted by specific facts. Marie Curie, for example, inferred the crystallographic system of all crystals of radium chloride from inspection of just a few specks of the substance. The inference was warranted by facts contained in crystallographic principles from the preceding century, not by some universal (...)
     
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  28.  57
    Mediating Machines.M. Norton Wise - 1988 - Science in Context 2 (1):77-113.
    The ArgumentThe societal context within which science is pursued generally acts as a productive force in the generation of knowledge. To analyze this action it is helpful to consider particular modes of mediation through which societal concerns are projected into the very local and esoteric concerns of a particular domain of research. One such mode of mediation occurs through material systems. Here I treat two such systems – the steam engine and the electric telegraph – in the natural philosophy (...)
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  29. A Tale of Two Nortons.Patrick Skeels - 2020 - Studies in History and Philosophy of Science Part A 83:28-35.
    This paper considers Norton’s Material Theory of Induction. The material theory aims inter alia to neutralize Hume’s Problem of Induction. The purpose of the paper is to evaluate the material theory's capacity to achieve this end. After pulling apart two versions of the theory, I argue that neither version satisfactorily neutralizes the problem.
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  30.  14
    A Framework for Inductive Reasoning in Model-Based Science.Milagros Maribel Barroso Rojo - 2023 - Revista de Humanidades de Valparaíso 23:259-285.
    This paper argues that the linguistic approach to analyzing induction, according to which induction is a type of inference or argument composed of statements or propositions, is unsuitable to account for scientific reasoning. Consequently, a novel approach to induction in model-based science is suggested. First, in order to show their adherence to the linguistic treatment of induction, two strategies are reviewed: (i) Carnap and Reichenbach’s attempts to justify induction and (ii) Norton’s recent material (...) of induction. Second, three reasons are provided to support the claim that the linguistic treatment of induction is insufficient in accounting for model-based reasoning in science. Finally, a framework focused on models—rather than statements or propositions—is suggested to address induction in science. William Whewell’s theory of induction is briefly outlined as an example of a non-propositional treatment of induction that is consistent with model-based scientific practice. (shrink)
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  31.  59
    Norton and the Logic of Thought Experiments.Michael T. Stuart - 2016 - Axiomathes 26 (4):451-466.
    John D. Norton defends an empiricist epistemology of thought experiments, the central thesis of which is that thought experiments are nothing more than arguments. Philosophers have attempted to provide counterexamples to this claim, but they haven’t convinced Norton. I will point out a more fundamental reason for reformulation that criticizes Norton’s claim that a thought experiment is a good one when its underlying logical form possesses certain desirable properties. I argue that by Norton’s empiricist standards, no thought experiment is ever (...)
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  32.  75
    Formal and material theories in philosophy of science: a methodological interpretation.Alan Love - 2012 - In Henk W. de Regt (ed.), Epsa Philosophy of Science: Amsterdam 2009. Dordrecht: Springer. pp. 175--185.
    John Norton’s argument that all formal theories of induction fail raises substantive questions about the philosophical analysis of scientific reasoning. What are the criteria of adequacy for philosophical theories of induction, explanation, or theory structure? Is more than one adequate theory possible? Using a generalized version of Norton’s argument, I demonstrate that the competition between formal and material theories in philosophy of science results from adhering to different criteria of adequacy. This situation encourages an interpretation (...)
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  33.  73
    Debunking material induction.Jonathan Livengood & Daniel Z. Korman - 2020 - Studies in History and Philosophy of Science Part A 84:20-27.
    We present an explanatory objection to Norton's material theory of induction, as applied to predictive inferences. According to the objection we present, there is an explanatory disconnect between our beliefs about the future and the relevant future facts. We argue that if we recognize such a disconnect, we are no longer rationally entitled to our future beliefs.
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  34.  23
    Science without Laws: Model Systems, Cases, Exemplary Narratives.Angela N. H. Creager, Elizabeth Lunbeck, M. Norton Wise, Barbara Herrnstein Smith & E. Roy Weintraub (eds.) - 2007 - Duke University Press.
    Physicists regularly invoke universal laws, such as those of motion and electromagnetism, to explain events. Biological and medical scientists have no such laws. How then do they acquire a reliable body of knowledge about biological organisms and human disease? One way is by repeatedly returning to, manipulating, observing, interpreting, and reinterpreting certain subjects—such as flies, mice, worms, or microbes—or, as they are known in biology, “model systems.” Across the natural and social sciences, other disciplinary fields have developed canonical examples that (...)
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  35.  94
    Turning Norton’s Dome Against Material Induction.Richard Dawid - 2015 - Foundations of Physics 45 (9):1101-1109.
    John Norton has proposed a position of “material induction” that denies the existence of a universal inductive inference schema behind scientific reasoning. In this vein, Norton has recently presented a “dome scenario” based on Newtonian physics that, in his understanding, is at variance with Bayesianism. The present note points out that a closer analysis of the dome scenario reveals incompatibilities with material inductivism itself.
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  36. A Material Defense of Inductive Inference.John D. Norton - 2022 - In Stephen Hetherington & David Macarthur (eds.), Living Skepticism. Essays in Epistemology and Beyond. Boston: BRILL.
     
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  37.  34
    Computability, enumerability, unsolvability: directions in recursion theory.S. B. Cooper, T. A. Slaman & S. S. Wainer (eds.) - 1996 - New York: Cambridge University Press.
    The fundamental ideas concerning computation and recursion naturally find their place at the interface between logic and theoretical computer science. The contributions in this book, by leaders in the field, provide a picture of current ideas and methods in the ongoing investigations into the pure mathematical foundations of computability theory. The topics range over computable functions, enumerable sets, degree structures, complexity, subrecursiveness, domains and inductive inference. A number of the articles contain introductory and background material which it is (...)
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  38.  36
    Fostering Creativity and Innovation without Encouraging Unethical Behavior.Melissa S. Baucus, William I. Norton, David A. Baucus & Sherrie E. Human - 2008 - Journal of Business Ethics 81 (1):97-115.
    Many prescriptions offered in the literature for enhancing creativity and innovation in organizations raise ethical concerns, yet creativity researchers rarely discuss ethics. We identify four categories of behavior proffered as a means for fostering creativity that raise serious ethical issues: (1) breaking rules and standard operating procedures; (2) challenging authority and avoiding tradition; (3) creating conflict, competition and stress; and (4) taking risks. We discuss each category, briefly identifying research supporting these prescriptions for fostering creativity and then we delve into (...)
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  39. Constructivist Model Building: Empirical Examples From Mathematics Education.C. Ulrich, E. S. Tillema, A. J. Hackenberg & A. Norton - 2014 - Constructivist Foundations 9 (3):328-339.
    Context: This paper outlines how radical constructivist theory has led to a particular methodological technique, developing second-order models of student thinking, that has helped mathematics educators to be more effective teachers of their students. Problem: The paper addresses the problem of how radical constructivist theory has been used to explain and engender more viable adaptations to the complexities of teaching and learning. Method: The paper presents empirical data from teaching experiments that illustrate the process of second-order model building. (...)
     
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  40. Einstein's special theory of relativity and the problems in the electrodynamics of moving bodies that led him to it.John Norton - unknown
    Modern readers turning to Einstein’s famous 1905 paper on special relativity may not find what they expect. Its title, “On the electrodynamics of moving bodies,” gives no inkling that it will develop an account of space and time that will topple Newton’s system. Even its first paragraph just calls to mind an elementary experimental result due to Faraday concerning the interaction of a magnet and conductor. Only then does Einstein get down to the business of space and time and lay (...)
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  41.  16
    Inductive neutrality and scientific representation.Elay Shech & Alison A. Springle - 2023 - Synthese 201 (5):1-16.
    Prima facie, accounts of scientific representation should illuminate how models support justified surrogative reasoning while remaining neutral on the nature of inductive inference. We argue that doing both at once is harder than it first appears. Accounts like “DEKI,” which distinguish justified and unjustified surrogative inferences by appealing to a distinction between derivational and factual correctness, cannot accommodate non-formal, non-rule-based accounts of inference such as John Norton’s material theory of induction. In contrast, a recent expressivist-inferentialist account appears (...)
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  42.  17
    Towards a value theory of mind.William J. Norton - 1941 - Philosophy of Science 8 (2):255-263.
    My interest is to examine the nature of mind in relation to value, for I suspect that the neglect by the psychologist of the true status of value has deterred his work in two respects: first, that it has prevented a genuine theory of mind's being arrived at, and secondly that it has prevented him in his clinical work from achieving for the individual the fuller expression of mind or self that makes for satisfaction or happiness.
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  43.  3
    A Treatise of Human Nature: Volume 2: Editorial Material.David Fate Norton & Mary J. Norton (eds.) - 2011 - Oxford University Press UK.
    David and Mary Norton present the definitive scholarly edition of one of the greatest philosophical works ever written. This second volume begins with their 'Historical Account' of the Treatise, an account that runs from the beginnings of the work to the period immediately following Hume's death in 1776, followed by an account of the Nortons' editorial procedures and policies and a record of the differences between the first-edition text of the Treatise and the critical text that follows. The volume continues (...)
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  44.  84
    David Hume: A Treatise of Human Nature (Two-volume set).David Fate Norton & Mary J. Norton (eds.) - 2007 - Clarendon Press.
    David and Mary Norton present the definitive scholarly edition of Hume's Treatise, one of the greatest philosophical works ever written. This set comprises the two volumes of texts and editorial material, which are also available for purchase separately. -/- David Hume (1711 - 1776) is one of the greatest of philosophers. Today he probably ranks highest of all British philosophers in terms of influence and philosophical standing. His philosophical work ranges across morals, the mind, metaphysics, epistemology, religion, and aesthetics; (...)
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  45. How the Formal Equivalence of Grue and Green Defeats What is New in the New Riddle of Induction.John D. Norton - 2006 - Synthese 150 (2):185-207.
    That past patterns may continue in many different ways has long been identified as a problem for accounts of induction. The novelty of Goodman’s ”new riddle of induction” lies in a meta-argument that purports to show that no account of induction can discriminate between incompatible continuations. That meta-argument depends on the perfect symmetry of the definitions of grue/bleen and green/blue, so that any evidence that favors the ordinary continuation must equally favor the grue-ified continuation. I argue that (...)
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  46. Democracy and the Claims of Nature: Critical Perspectives for a New Century.Wilson Carey McWilliams, Bob Pepperman Taylor, Bryan G. Norton, Robyn Eckersley, Joe Bowersox, J. Baird Callicott, Catriona Sandilands, John Barry, Andrew Light, Peter S. Wenz, Luis A. Vivanco, Tim Hayward, John O'Neill, Robert Paehlke, Timothy W. Luke, Robert Gottlieb & Charles T. Rubin (eds.) - 2002 - Rowman & Littlefield Publishers.
    In Democracy and the Claims of Nature, the leading thinkers in the fields of environmental, political, and social theory come together to discuss the tensions and sympathies of democratic ideals and environmental values. The prominent contributors reflect upon where we stand in our understanding of the relationship between democracy and the claims of nature. Democracy and the Claims of Nature bridges the gap between the often competing ideals of the two fields, leading to a greater understanding of each for (...)
     
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  47. The Cambridge Companion to Hume.David Fate Norton (ed.) - 1993 - New York: Cambridge University Press.
    David Hume is, arguably, the most important philosopher ever to have written in English. Although best known for his contributions to epistemology, metaphysics, and the philosophy of religion, Hume also made substantial and influential contributions to psychology and the philosophy of mind, ethics, the philosophy of science, political and economic theory, political and social history, and, to a lesser extent, aesthetic and literary theory. All facets of Hume's output are discussed in this volume, the first genuinely comprehensive overview (...)
     
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  48.  19
    David Hume: A Treatise of Human Nature: Volume 2: Editorial Material.David Fate Norton & Mary J. Norton (eds.) - 2007 - Clarendon Press.
    David and Mary Norton present the definitive scholarly edition of Hume's Treatise, one of the greatest philosophical works ever written. This second volume contains their historical account of how the Treatise was written and published; an explanation of how they have established the text; an extensive set of annotations which illuminate Hume's texts; and a comprehensive bibliography and index.
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  49. Fostering creativity and innovation without encouraging unethical behavior.Sherrie E. Human, David A. Baucus, William I. Norton & Melissa S. Baucus - 2008 - Journal of Business Ethics 81 (1):97-115.
    Many prescriptions offered in the literature for enhancing creativity and innovation in organizations raise ethical concerns, yet creativity researchers rarely discuss ethics. We identify four categories of behavior proffered as a means for fostering creativity that raise serious ethical issues: breaking rules and standard operating procedures; challenging authority and avoiding tradition; creating conflict, competition and stress; and taking risks. We discuss each category, briefly identifying research supporting these prescriptions for fostering creativity and then we delve into ethical issues associated with (...)
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  50. The logical inconsistency of the old quantum theory of Black body radiation.John Norton - 1987 - Philosophy of Science 54 (3):327-350.
    The old quantum theory of black body radiation was manifestly logically inconsistent. It required the energies of electric resonators to be both quantized and continuous. To show that this manifest inconsistency was inessential to the theory's recovery of the Planck distribution law, I extract a subtheory free of this manifest inconsistency but from which Planck's law still follows.
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