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  1. Marc Lange (forthcoming). Depth and Explanation in Mathematics. Philosophia Mathematica:nku022.
    This paper argues that in at least some cases, one proof of a given theorem is deeper than another by virtue of supplying a deeper explanation of the theorem — that is, a deeper account of why the theorem holds. There are cases of scientific depth that also involve a common abstract structure explaining a similarity between two otherwise unrelated phenomena, making their similarity no coincidence and purchasing depth by answering why questions that separate, dissimilar explanations of the two phenomena (...)
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  2. Marc Lange (2014). Aspects of Mathematical Explanation: Symmetry, Unity, and Salience. Philosophical Review 123 (4):485-531.
    Unlike explanation in science, explanation in mathematics has received relatively scant attention from philosophers. Whereas there are canonical examples of scientific explanations , there are few examples that have become widely accepted as exhibiting the distinction between mathematical proofs that explain why some mathematical theorem holds and proofs that merely prove that the theorem holds without revealing the reason why it holds. This essay offers some examples of proofs that mathematicians have considered explanatory , and it argues that these examples (...)
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  3. Marc Lange (2014). Did Einstein Really Believe That Principle Theories Are Explanatorily Powerless? Perspectives on Science 22 (4):449-463.
    In a notable article entitled “What is the Theory of Relativity?” written at the request of The Times and published in its November 28, 1919 edition, Albert Einstein famously distinguished “theories of principle” from “constructive theories.” Einstein placed relativity theory among the principle theories. His distinction has recently received increased attention, especially as it relates to scientific explanation. In particular, there has been considerable discussion of how to explain why there obtain the Lorentz transformations as well as of how to (...)
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  4. Margaret Meek Lange (2014). Vulnerability as a Concept for Health Systems Research. American Journal of Bioethics 14 (2):41-43.
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  5. Oliver Friedmann & Martin Lange (2013). Deciding the Unguarded Modal -Calculus. Journal of Applied Non-Classical Logics 23 (4):353-371.
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  6. M. Lange (2013). What Makes a Scientific Explanation Distinctively Mathematical? British Journal for the Philosophy of Science 64 (3):485-511.
    Certain scientific explanations of physical facts have recently been characterized as distinctively mathematical–that is, as mathematical in a different way from ordinary explanations that employ mathematics. This article identifies what it is that makes some scientific explanations distinctively mathematical and how such explanations work. These explanations are non-causal, but this does not mean that they fail to cite the explanandum’s causes, that they abstract away from detailed causal histories, or that they cite no natural laws. Rather, in these explanations, the (...)
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  7. Marc Lange (2013). Grounding, Scientific Explanation, and Humean Laws. Philosophical Studies 164 (1):255-261.
    It has often been argued that Humean accounts of natural law cannot account for the role played by laws in scientific explanations. Loewer (Philosophical Studies 2012) has offered a new reply to this argument on behalf of Humean accounts—a reply that distinguishes between grounding (which Loewer portrays as underwriting a kind of metaphysical explanation) and scientific explanation. I will argue that Loewer’s reply fails because it cannot accommodate the relation between metaphysical and scientific explanation. This relation also resolves a puzzle (...)
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  8. Marc Lange (2013). Really Statistical Explanations and Genetic Drift. Philosophy of Science 80 (2):169-188.
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  9. Marc Lange, Peter Vickers, John Michael, Miles MacLeod, Alexander R. Pruss, David John Baker, Clark Glymour & Simon Fitzpatrick (2013). 1. Really Statistical Explanations and Genetic Drift Really Statistical Explanations and Genetic Drift (Pp. 169-188). Philosophy of Science 80 (2).
     
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  10. Margaret Meek Lange (2013). Christian U. Becker , Sustainability Ethics and Sustainability Research . Reviewed By. Philosophy in Review 33 (4):255-258.
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  11. Margaret Meek Lange, Wendy Rogers & Susan Dodds (2013). Vulnerability in Research Ethics: A Way Forward. Bioethics 27 (6):333-340.
    Several foundational documents of bioethics mention the special obligation researchers have to vulnerable research participants. However, the treatment of vulnerability offered by these documents often relies on enumeration of vulnerable groups rather than an analysis of the features that make such groups vulnerable. Recent attempts in the scholarly literature to lend philosophical weight to the concept of vulnerability are offered by Luna and Hurst. Luna suggests that vulnerability is irreducibly contextual and that Institutional Review Boards (Research Ethics Committees) can only (...)
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  12. K. Hawley, H. Hertz, D. Hilbert, R. Holton, F. Jackson, D. Kaplan, Y. Kirsch, W. Kneale, M. Lange & S. McCall (2012). Quine, VV. vo, 34, 43. Oxford Studies in Metaphysics 7:315.
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  13. Marc Lange (2012). Abstraction and Depth in Scientific Explanation. [REVIEW] Philosophy and Phenomenological Research 84 (2):483-491.
  14. Marc Lange (2012). 6.” There Sweep Great General Principles Which All the Laws Seem to Follow. Oxford Studies in Metaphysics 7:154.
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  15. Margaret Meek Lange (2012). The Ecological Thought by Timothy Morton, 2010 Cambridge, MA, Harvard University Pressx + 163 Pp, $39.95 (Hb) $19.95 (Pb). [REVIEW] Journal of Applied Philosophy 29 (4):378-379.
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  16. Carlo Gabbani & Marc Lange (2011). Bas van Fraassen's Scientific Representation. Iris. European Journal of Philosophy and Public Debate 2 (3):245-256.
  17. M. Lange (2011). Meta-Laws of Nature and the Best System Account. Analysis 71 (2):216-222.
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  18. Marc Lange (2011). Conservation Laws in Scientific Explanations: Constraints or Coincidences? Philosophy of Science 78 (3):333-352.
    A conservation law in physics can be either a constraint on the kinds of interaction there could be or a coincidence of the kinds of interactions there actually are. This is an important, unjustly neglected distinction. Only if a conservation law constrains the possible kinds of interaction can a derivation from it constitute a scientific explanation despite failing to describe the causal/mechanical details behind the result derived. This conception of the relation between “bottom-up” scientific explanations and one kind of “top-down” (...)
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  19. Marc Lange (2011). 3 It Takes More Than All Kinds to Make a World. In Joseph Keim Campbell, Michael O'Rourke & Matthew H. Slater (eds.), Carving Nature at its Joints: Natural Kinds in Metaphysics and Science. Mit Press. 53.
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  20. Marc Lange & Alexander Rosenberg (2011). Can There Be A Priori Causal Models of Natural Selection? Australasian Journal of Philosophy 89 (4):591 - 599.
    Sober 2011 argues that, contrary to Hume, some causal statements can be known a priori to be true?notably, some ?would promote? statements figuring in causal models of natural selection. We find Sober's argument unconvincing. We regard the Humean thesis as denying that causal explanations contain any a priori knowable statements specifying certain features of events to be causally relevant. We argue that not every ?would promote? statement is genuinely causal, and we suggest that Sober has not shown that his examples (...)
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  21. Marc Lange, Raphael van Riel, Maximilian Schlosshauer, Gregory Wheeler, Zalán Gyenis, Miklós Rédei, John Byron Manchak, James Owen Weatherall, Bruce Glymour & Bradford Skow (2011). 10. Discussion: Problems for Natural Selection as a Mechanism Discussion: Problems for Natural Selection as a Mechanism (Pp. 512-523). [REVIEW] Philosophy of Science 78 (3).
     
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  22. Jim Woodward, Barry Loewer, John Carroll & Marc Lange (2011). Counterfactuals All the Way Down? Metascience 20 (1):27-52.
    Counterfactuals all the way down? Content Type Journal Article DOI 10.1007/s11016-010-9437-9 Authors Jim Woodward, History and Philosophy of Science, 1017 Cathedral of Learning, University of Pittsburgh, Pittsburgh, PA 15260, USA Barry Loewer, Department of Philosophy, Rutgers University, New Brunswick, NJ 08901, USA John W. Carroll, Department of Philosophy and Religious Studies, North Carolina State University, Raleigh, NC 27695-8103, USA Marc Lange, Department of Philosophy, University of North Carolina at Chapel Hill, CB#3125—Caldwell Hall, Chapel Hill, NC 27599-3125, USA Journal Metascience Online (...)
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  23. Carlo Gabbani & Marc Lange (2010). On Bas van Fraassen's Scientific Representation. Iris 2 (3):245-256.
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  24. M. Lange (2010). What Are Mathematical Coincidences (and Why Does It Matter)? Mind 119 (474):307-340.
    Although all mathematical truths are necessary, mathematicians take certain combinations of mathematical truths to be ‘coincidental’, ‘accidental’, or ‘fortuitous’. The notion of a ‘mathematical coincidence’ has so far failed to receive sufficient attention from philosophers. I argue that a mathematical coincidence is not merely an unforeseen or surprising mathematical result, and that being a misleading combination of mathematical facts is neither necessary nor sufficient for qualifying as a mathematical coincidence. I argue that although the components of a mathematical coincidence may (...)
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  25. Mariana de Bastiani Lange (2010). Caminhares: Fragmentos Sobre Oficinas de Escrita E Interrogações Sobre Os Ensinares E Os Aprenderes. Conjectura: Filosofia E Educação 15 (3):165-174.
    O presente estudo tem por objetivo compartilhar fragmentos de uma experiência com Oficina de Escrita, que foi desenvolvida com crianças que estudam em escolas públicas, e estudar a relação dessa prática com a educação. Considerando alguns aspectos da literatura e da teoria da psicanálise (baseada nos autores Sigmund Freud e Jacques Lacan), o estudo aqui apresentado tem o propósito de aproximar ambas: leitura e escrita, a fim de examinar a noção de endereçamento implicada nos processos de escrita e nos processos (...)
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  26. Holger Richly, Martin Lange, Elisabeth Simboeck & Luciano Di Croce (2010). Setting and Resetting of Epigenetic Marks in Malignant Transformation and Development. Bioessays 32 (8):669-679.
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  27. Carlo Gabbani & Marc Lange (2009). Scientific Representation: Paradoxes of Perspective di Bas van Fraassen. Iride 22 (3):707-720.
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  28. M. Lange (2009). Nature's Metaphysics: Laws and Properties. Philosophical Review 119 (1):97-99.
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  29. M. Lange (2009). Review: Tim Maudlin: The Metaphysics Within Physics. [REVIEW] Mind 118 (469):197-200.
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  30. Marc Lange (2009). A Tale of Two Vectors. Dialectica 63 (4):397-431.
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  31. Marc Lange (2009). Causation in Classical Mechanics. In Helen Beebee, Christopher Hitchcock & Peter Menzies (eds.), The Oxford Handbook of Causation. Oup Oxford.
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  32. Marc Lange (2009). Dimensional Explanations. Noûs 43 (4):742-775.
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  33. Marc Lange (2009). Laws and Lawmakers: Science, Metaphysics, and the Laws of Nature. Oxford University Press.
    Laws form counterfactually stable sets -- Natural necessity -- Three payoffs of my account -- A world of subjunctives.
     
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  34. Marc Lange (2009). Must the Fundamental Laws of Physics Be Complete? Philosophy and Phenomenological Research 78 (2):312-345.
    The beauty of electricity, or of any other force, is not that the power is mysterious and unexpected, touching every sense at unawares in turn, but that it is under law... Michael Faraday, Wheatstone's Electric Telegraph's Relation to Science (being an argument in favour of the full recognition of Science as a branch of Education), 1854.
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  35. Marc Lange (2009). Scientific Inquiry. In John Shand (ed.), Central Issues in Philosophy. Wiley-Blackwell.
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  36. Marc Lange (2009). Why Do the Laws Explain Why? In Toby Handfield (ed.), Dispositions and Causes. Oxford University Press, Clarendon Press ;.
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  37. Marc Lange (2009). Why Proofs by Mathematical Induction Are Generally Not Explanatory. Analysis 69 (2):203-211.
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  38. Margaret Meek Lange (2009). Exploring the Theme of Reflective Stability: John Rawls' Hegelian Reading of David Hume. Public Reason 1 (1):75-90.
  39. Martin Lange (2009). Model Checking for Hybrid Logic. Journal of Logic, Language and Information 18 (4):465-491.
    We consider the model checking problem for Hybrid Logic. Known algorithms so far are global in the sense that they compute, inductively, in every step the set of all worlds of a Kripke structure that satisfy a subformula of the input. Hence, they always exploit the entire structure. Local model checking tries to avoid this by only traversing necessary parts of the input in order to establish or refute the satisfaction relation between a given world and a formula. We present (...)
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  40. Anders Søgaard & Martin Lange (2009). Polyadic Dynamic Logics for Hpsg Parsing. Journal of Logic, Language and Information 18 (2):159-198.
    Head-driven phrase structure grammar (HPSG) is one of the most prominent theories employed in deep parsing of natural language. Many linguistic theories are arguably best formalized in extensions of modal or dynamic logic (Keller, Feature logics, infinitary descriptions and grammar, 1993; Kracht, Linguistics Philos 18:401–458, 1995; Moss and Tiede, In: Blackburn, van Benthem, and Wolther (eds.) Handbook of modal logic, 2006), and HPSG seems to be no exception. Adequate extensions of dynamic logic have not been studied in detail, however; the (...)
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  41. Marc Lange (2008). Could the Laws of Nature Change? Philosophy of Science 75 (1):69-92.
    After reviewing several failed arguments that laws cannot change, I use the laws' special relation to counterfactuals to show how temporary laws would have to differ from eternal but time-dependent laws. Then I argue that temporary laws are impossible and that neither Lewis's nor Armstrong's analyses of law nicely accounts for the laws' immutability. *Received September 2006; revised September 2007. ‡Many thanks to John Roberts and John Carroll for valuable comments on earlier drafts, as well as to several anonymous referees (...)
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  42. Marc Lange (2008). Why Contingent Facts Cannot Necessities Make. Analysis 68 (298):120–128.
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  43. Marc Lange (2007). Introduction to Part II. In , Philosophy of Science: An Anthology. Blackwell Pub.. 25--33.
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  44. Marc Lange (2007). Laws and Meta-Laws of Nature: Conservation Laws and Symmetries. Studies in History and Philosophy of Modern Physics 38 (3):457-481.
  45. Marc Lange (2007). Laws and Meta-Laws of Nature. The Harvard Review of Philosophy 15 (1):457-481.
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  46. Marc Lange (ed.) (2007). Philosophy of Science: An Anthology. Blackwell Pub..
    Philosophy of Science: An Anthology assembles some of the finest papers in the philosophy of science since 1945, showcasing enduring classics alongside important and innovative recent work. Introductions by the editor highlight connections between selections, and contextualize the articles Nine sections address topics at the heart of philosophy of science, including realism and the character of scientific theories, scientific explanations and laws of nature, singular casusation, and the metaphysical implications of modern physics Provides an authoritative and accessible overview of the (...)
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  47. Marc Lange (2007). Review of Huw Price, Richard Corry (Eds.), Causation, Physics, and the Constitution of Reality: Russell's Republic Revisited. [REVIEW] Notre Dame Philosophical Reviews 2007 (11).
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  48. Marc Lange (2007). The End of Diseases. Philosophical Topics 35 (1/2):265-292.
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  49. Marc Lange (2006). Do Chances Receive Equal Treatment Under the Laws? Or: Must Chances Be Probabilities? British Journal for the Philosophy of Science 57 (2):383-403.
    I offer an argument regarding chances that appears to yield a dilemma: either the chances at time t must be determined by the natural laws and the history through t of instantiations of categorical properties, or the function ch(•) assigning chances need not satisfy the axioms of probability. The dilemma's first horn might seem like a remnant of determinism. On the other hand, this horn might be inspired by our best scientific theories. In addition, it is entailed by the familiar (...)
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  50. Marc Lange (2006). Farewell to Laws of Nature? Studies in History and Philosophy of Science Part A 37 (2):361-369.
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