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Profile: David Miller (Northwestern University)
Profile: David Miller (Goldsmiths College, University of London)
Profile: David Miller (Agder College)
Profile: David Miller
Profile: David Miller (Iowa State University)
  1. David Miller, An Open Problem In.
    The notation and terminology of this paper follow [2], and are dual to those of [6] and [7]. If L is a language in the narrow sense, Cn may be any consequence operation on sets of sentences of L that includes classical sentential logic. Henceforth when we talk of the language L we intend to include reference to some fixed, though unspecified, operation Cn. X is a deductive system if X = Cn(X). Sentences x, z that are logically equivalent with (...)
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  2. David Miller, The Implications of Gödel's Theorem.
    Let me start with a disclaimer. I am not going to be primarily concerned with the Gödelian argument against mechanism, although that is what I am primarily associated with in the public mind. Not that I don't stand by it. Although there have been many criticisms, some of them ill informed and evidently based on not having read what I had actually written, the critics had a strong tendency to disagree with one another more than they did with me, or (...)
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  3. David Miller, Deductivist Decision Making.
    The non-justificationist deductivism (or critical rationalism) of Karl Popper constitutes the only approach to human knowledge, including of course the natural and social sciences, that is capable of overcoming all the failings, and the plain contradictions, of the traditional doctrine of inductivism and of its modern incarnation, Bayesianism.
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  4. David Miller, Do We Reason When We Think We Reason, or Do We Think?
    If the open society is a society that ‘sets free the critical powers of man’ (Popper, 1945, Introduction), then the subject of critical thinking, now widely taught in universities in North America and at the level of further education in the UK, might seem to be a welcome innovation. Caution is advised. By mistakenly supposing that thinking intelligently is identical with thinking logically, critical thinking textbooks almost invariably regard the purpose of argument to be a combination of justification and persuasion, (...)
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  5. David Miller, How Does Probability Theory Generalize Logic?
    Rolando Chuaqui y yo, nos encontramos una ´ unica vez, en Bah´ıa Blanca en agosto 1992, en el Simposio Latino- Americano de L´ ogica Matem´ atica. Lamentablemente, Chuaqui muri´ o antes de mi pr´ oxima visita a Am´ erica del Sur, igual que otro gran l´ ogico latinoamericano, Carlos Alchourr´ on. Chuaqui estuvo en Bah´ıa Blanca juntos con varios alumnos que hablaron sobre aspectos de la l´.
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  6. David Miller, Lattice-Valued Probability.
    A theory of probability is outlined that permits the values of the probability function to lie in any Brouwerian algebra.
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  7. David Miller, Objective Knowledge.
    Karl Popper’s Objective Knowledge stands at the threshold of his last major philosophical phase, the period from his retirement from the London School of Economics in 1969 until his death in 1994. The two great books that he wrote before he came to London, Logik der Forschung (1934) and The Open Society and Its Enemies (1945), contain much more than the innovations in the theory of scientific method and the theory of democracy for which they are famous. Logik der Forschung, (...)
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  8. David Miller, Overcoming the Justificationist Addiction.
    It is a simple, though ancient, mistake in the theory of knowledge to think that justification, in any degree, is central to rationality, or even important to it. We must cut for ever the intellectual apron strings that continue to offer us spurious and unneeded security, and replace the insoluble problem of what our theories are based on by the soluble problem of how to expose their shortcomings. The paper will outline (not for the first time) the critical rationalism of (...)
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  9. David Miller, Reasoning: Control, Not Command.
    to think critically means that we are able to think in a logical fashion — in straight lines, as it were. One of the hardest skills that all undergraduates have to acquire is being able to think logically and then formulate these logical thoughts into sentences to produce an academic essay. Sentences and paragraphs in an essay have to follow on from each other in a logical sequence. This is part of critical thinking. So titles like Practical Logic or Reasoning (...)
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  10. David Miller, Read on Bradwardine on the Liar Paradox.
    The thesis of the present note is that the resemblance between Bradwardine’s highly instructive definition of truth, and what emerges from Tarski’s method of defining truth, is much closer than Read’s discussion reveals. Each approach, however, has serious defects.
     
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  11. David Miller, Reply to Zwirn & Zwirn.
    I am indebted to Zwirn and Zwirn [1989] (hereafter Z&Z) for their extended and careful comments on the arguments of Popper & Miller [1983], [1987], and also for friendly and illuminating conversations. Their judgement seems to be that although Popper and I fail to make a satisfactory case for our conclusion that inductive probability is impossible, that conclusion is nonetheless defensible on quite other grounds. I don’t really agree with this, as I shall explain.
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  12. David Miller, Some Accounting for Tastes.
    How many different outcomes are possible when n runners race (given that all finish)? How many preference [quasi]-orderings exist on a set of n options? These questions are formally identical, and are non-trivial because of the existence of ties and of indifferent but distinguishable alternatives. Some years ago Don Locke asked me for the answers for some very small n. These I supplied, but no general formula. Here I return to the problem, generalize it, and provide solutions.
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  13. David Miller, Smith's Defence of Approximate Truth.
    The example can be generalized. Suppose that ϕ and ψ are suffi- ciently different functions of an independent variable t. We may show that whenever X’s predictions for ϕ and ψ lie (weakly) between Z’s predictions and T’s predictions (the true values), then there are other quantities, interdefinable with ϕ and ψ, that reverse the ordering.
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  14. David Miller, Some Hard Questions for Critical Rationalism.
    ‘What distinguishes science from all other human endeavours is that the accounts of the world that our best, mature sciences deliver are strongly supported by evidence and this evidence gives us the strongest reason to believe them.’ That anyway is what is said at the beginning of the advertisement for a conference on induction at a celebrated British seat of learning in 2007. It shows how much critical rationalists still have to do to make known the message of Logik der (...)
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  15. David Miller, Solution to a Generalization of the Busy Beaver Problem.
    Let ϕ be a fixed numerical function. If the k-state Turing machine M with input string ϕ(k) (that is, started in its initial state scanning the leftmost 1 of a single string of ϕ(k) 1s on an otherwise blank tape) produces the output string m (that is, halts in its halting state scanning the leftmost 1 of a single string of m 1s on an otherwise blank tape), we shall say that the ϕ-fecundity of M is m. If M halts (...)
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  16. David Miller, Truth Defined.
    Tarski’s theorem advises us that there is no completely satisfactory definition of the term true sentence available. The paper ‘Infinite Truth’ presented to the Third World Congress on Paraconsistency in Toulouse five years ago suggested that, nevertheless, it is possible to provide within a fragment ZF+ of extended ZF a definition of the truth of sentences that is materially adequate, formally correct, explicit, universal, versatile, and modestly paraconsistent.
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  17. David Miller, The Disposition of Complete Theories.
    The purpose of this paper is to give a purely logical proof of a result of Mostowski [1937] concerning the complete theories of a calculus based on classical propositional logic; and then modestly to generalize it. Mostowski’s result is announced by Tarski on p. 370 of Logic, Semantics, Metamathematics [1956]. (All references to Tarski’s work here are to this book.) Tarski himself provides only a fragment of a proof, and the proof published by Mostowski makes extensive use of topological methods (...)
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  18. David Miller, Word Games for Formal Logic.
    Some students in the humanities take fright when introduced to the formal manipulations characteristic of elementary sentential & predicate logic. One way to lessen the pain of initiation is to start with word games, of which Lewis Carroll’s Doublets (section 1) is a familiar example. The paper presents some other games that successively introduce more of the..
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  19. Karl Popper & David Miller, [1 − P(X, Z)][1 − P(y, Z)]/P(y, Z) If P(y, Z) >.
    The burden of this theorem, stated informally, is that when a hypothesis h is maximally independent of the evidence — that is, it goes wholly beyond the evidence —, then the probability p(h, e) increases when the evidence e is weakened; and hence, the weaker is the evidence, the greater is the probabilistic support.
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  20. James Longrigg, Mario Biagioli, N. Wise, Crosbie Smith, M. Micale, Ralph Colp Jr, William Clark, K. Cleaver & David P. Miller (forthcoming). Hiftory of Science. History of Science.
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  21. David Philip Miller & Sir Joseph Banks (forthcoming). An Historiographical Perspective. History of Science.
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  22. Robert I. Misbin & David H. Miller (forthcoming). Case Studies:" Make Me Live": Autonomy and Terminal Illness. Hastings Center Report.
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  23. David Miller (2014). Our Unfinished Debate About Market Socialism. Politics, Philosophy and Economics 13 (2):119-139.
    This article reconstructs and reflects on the 1989 debate between Jerry Cohen and myself on market socialism in the light of Cohen's ongoing defence of communitarian socialism. It presents Cohen's view of market socialism as ethically deficient but a modest improvement on capitalism, and outlines some market socialist proposals from the 1980s. Our debate centred on the issues of distributive justice and community. I had argued that a market economy might be justified by appeal to desert based on productive contribution, (...)
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  24. David I. Miller & Diane F. Halpern (2014). The New Science of Cognitive Sex Differences. Trends in Cognitive Sciences 18 (1):37-45.
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  25. Nick Huggett, George E. Smith, David Marshall Miller & William Harper (2013). On Newton's Method. Metascience 22 (2):215-246.
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  26. David Miller (2013). Border Regimes and Human Rights. Law and Ethics of Human Rights 7 (1):1-23.
    This article argues that there is no human right to cross borders without impediment. Receiving states, however, must recognize the procedural rights of those unable to protect their human rights in the place where they currently reside. Asylum claims must be properly investigated, and in the event that the state declines to admit them as refugees, it must ensure that the third country to which they are transferred can protect their rights. Both procedural and substantive rights apply while refugees are (...)
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  27. David Miller (2013). Lea Ypi on Global Justice and Avant-Garde Political Agency: Some Reflections. Ethics and Global Politics 6 (2).
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  28. Andrew V. Biankin, Nicola Waddell, Karin S. Kassahn, Marie-Claude Gingras, Lakshmi B. Muthuswamy, Amber L. Johns, David K. Miller, Peter J. Wilson, Ann-Marie Patch & Jianmin Wu (2012). Pancreatic Cancer Genomes Reveal Aberrations in Axon Guidance Pathway Genes. In Jeffrey Kastner (ed.), Nature. Mit Press. 399-405.
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  29. Martin H. Brinkworth, David Miller & David Iles (2012). Implications of Recent Advances in the Understanding of Heritability for Neo-Darwinian Orthodoxy. In Martin H. Brinkworth & Friedel Weinert (eds.), Evolution 2.0: Implications of Darwinism in Philosophy and the Social and Natural Sciences. Springer.
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  30. David Miller (2012). Collective Responsibility and Global Poverty. Ethical Perspectives 19 (4):627.
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  31. David Miller (2012). Grounding Human Rights. Critical Review of International Social and Political Philosophy 15 (4):407-427.
    This paper examines the idea of human rights, and how they should be justified. It begins by reviewing Peter Jones?s claim that the purpose of human rights is to allow people from different cultural backgrounds to live together as equals, and suggests that this by itself provides too slender a basis. Instead it proposes that human rights should be grounded on human needs. Three difficulties with this proposal are considered. The first is the problem of whether needs are sufficiently objective (...)
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  32. David Miller (2012). Justice for Earthlings: Essays in Political Philosophy. Cambridge University Press.
    Machine generated contents note: Introduction; 1. Political philosophy for earthlings; 2. Two ways to think about justice; 3. Social justice in multicultural societies; 4. Liberalism, equal opportunities and cultural commitments; 5. Equality of opportunity and the family; 6. Justice and boundaries; 7. Social justice versus global justice?; 8. 'Are they my poor?': The problem of altruism in a world of strangers; 9. Taking up the slack? Responsibility and justice in situations of partial compliance; 10. A tale of two cities, or (...)
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  33. David Miller (2012). Probabilistic Substitutivity at a Reduced Price. Principia 15 (2):271-.
    One of the many intriguing features of the axiomatic systems of probability investigated in Popper (1959), appendices _iv, _v, is the different status of the two arguments of the probability functor with regard to the laws of replacement and commutation. The laws for the first argument, (rep1) and (comm1), follow from much simpler axioms, whilst (rep2) and (comm2) are independent of them, and have to be incorporated only when most of the important deductions have been accomplished. It is plain that, (...)
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  34. David Marshall Miller (2012). Galileo's Impractical Science. Metascience 21 (1):223-225.
    Galileo’s impractical science Content Type Journal Article Pages 1-3 DOI 10.1007/s11016-011-9534-4 Authors David Marshall Miller, Department of Philosophy, Duke University, 201 West Duke, Durham, NC 27708, USA Journal Metascience Online ISSN 1467-9981 Print ISSN 0815-0796.
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  35. David Philip Miller (2012). Climate Engineering, Past and Present. Metascience 21 (1):243-245.
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  36. David Philip Miller (2012). The Historiography of the Chemical Revolution: Patterns of Interpretation in the History of Science. Annals of Science 69 (4):581-584.
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  37. David Philip Miller (2012). Testing Power and Trust: The Steam Indicator, the'Reynolds Controversy', and the Relations of Engineering Science and Practice in Late Nineteenth-Century Britain. History of Science 50 (2):212-250.
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  38. Dan Brock, Eric Cavallero, Norman Daniels, Nir Eyal, Iwao Hirose, Adi Koplovitz, Martin McIvor, David Miller, Ole Norheim & Daniel Schwartz (2011). Shlomi Segall. In Carl Knight & Zofia Stemplowska (eds.), Responsibility and Distributive Justice. Oxford University Press.
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  39. Donald C. Hodges, Robert Elias Abu Shanab, Stephen P. Halbrook & David L. Miller (2011). On Liberty: Man Vs. The State, Milton S. Mayer. World Futures 11 (sup1):117-123.
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  40. David Miller (2011). Ancient and Modern Truths. Discusiones Filosóficas 12 (18):207 - 227.
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  41. David Miller (2011). And Justice in Situations of Partial Compliance1. In Carl Knight & Zofia Stemplowska (eds.), Responsibility and Distributive Justice. Oxford University Press. 230.
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  42. David Miller (2011). A Reply to Five Critics. Theoria 58 (129):95-107.
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  43. David Miller (2011). Cosmopolitan Regard: Political Membership and Global Justice, Richard Vernon (Cambridge: Cambridge University Press, 2010), 232 Pp., $78 Cloth, $30 Paper. [REVIEW] Ethics and International Affairs 25 (4):477-479.
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  44. David Miller (2011). Do we reason when we when we think we reason of think? [Spanish]. Eidos 7:88-108.
    Normal 0 21 false false false ES X-NONE X-NONE MicrosoftInternetExplorer4 /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Tabla normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-qformat:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin:0cm; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:minor-fareast; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;} If the open society is a society that ‘sets free the critical powers of man’ (Popper, 1945, Introduction), then the subject of critical thinking, now widely taught in universities in North America and at the level of (...)
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  45. David Miller (2011). On Nationality and Global Equality: A Reply to Holtug. Ethics and Global Politics 4 (3).
    I here defend some of the positions taken in National Responsibility and Global Justice against criticisms by Nils Holtug. I reinforce my suggestion that claims about national membership being ‘morally arbitrary’ are question begging and try to show how such membership can legitimately serve as a source of special obligations. I examine the claim that the problems involved in constructing a ‘currency’ of global justice also arise in the domestic context and suggest that appealing to ‘welfare’ as the relevant currency (...)
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  46. David Miller (2011). Property and Territory: Locke, Kant, and Steiner. Journal of Political Philosophy 19 (1):90-109.
  47. David Miller (2011). Truths Ancient and Modern. Manuscrito 34 (1):267-292.
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  48. David Miller (2011). Taking Up the Slack? Responsibility and Justice in Situations of Partial Compliance. In Carl Knight & Zofia Stemplowska (eds.), Responsibility and Distributive Justice. Oxford University Press. 230--45.
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  49. David Miller (2011). Verdades antiguas y modernas. Discusiones Filosóficas 12 (18):207 - 27.
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  50. David Marshall Miller (2011). Friedman, Galileo, and Reciprocal Iteration. Philosophy of Science 78 (5):1293-1305.
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