Switch to: Citations

References in:

Mathematical Idealization

Philosophy of Science 74 (5):957-967 (2007)

Add references

You must login to add references.
  1. Nature's capacities and their measurement.Nancy Cartwright - 1989 - New York: Oxford University Press.
    Ever since David Hume, empiricists have barred powers and capacities from nature. In this book Cartwright argues that capacities are essential in our scientific world, and, contrary to empiricist orthodoxy, that they can meet sufficiently strict demands for testability. Econometrics is one discipline where probabilities are used to measure causal capacities, and the technology of modern physics provides several examples of testing capacities (such as lasers). Cartwright concludes by applying the lessons of the book about capacities and probabilities to the (...)
    Download  
     
    Export citation  
     
    Bookmark   631 citations  
  • Quantum mechanics: an empiricist view.Bas C. Van Fraassen - 1991 - New York: Oxford University Press.
    Download  
     
    Export citation  
     
    Bookmark   52 citations  
  • On the rational reconstruction of our theoretical knowledge.William Demopoulos - 2003 - British Journal for the Philosophy of Science 54 (3):371-403.
    This paper concerns the rational reconstruction of physical theories initially advanced by F. P. Ramsey and later elaborated by Rudolf Carnap. The Carnap–Ramsey reconstruction of theoretical knowledge is a natural development of classical empiricist ideas, one that is informed by Russell's philosophical logic and his theories of propositional understanding and knowledge of matter ; as such, it is not merely a schematic representation of the notion of an empirical theory, but the backbone of a general account of our knowledge of (...)
    Download  
     
    Export citation  
     
    Bookmark   35 citations  
  • Scientific representation, interpretation, and surrogative reasoning.Gabriele Contessa - 2007 - Philosophy of Science 74 (1):48-68.
    In this paper, I develop Mauricio Suárez’s distinction between denotation, epistemic representation, and faithful epistemic representation. I then outline an interpretational account of epistemic representation, according to which a vehicle represents a target for a certain user if and only if the user adopts an interpretation of the vehicle in terms of the target, which would allow them to perform valid (but not necessarily sound) surrogative inferences from the model to the system. The main difference between the interpretational conception I (...)
    Download  
     
    Export citation  
     
    Bookmark   108 citations  
  • The Semantic or Model-Theoretic View of Theories and Scientific Realism.Anjan Chakravartty - 2001 - Synthese 127 (3):325-345.
    The semantic view of theoriesis one according to which theoriesare construed as models of their linguisticformulations. The implications of thisview for scientific realism have been little discussed. Contraryto the suggestion of various champions of the semantic view,it is argued that this approach does not makesupport for a plausible scientific realism anyless problematic than it might otherwise be.Though a degree of independence of theory fromlanguage may ensure safety frompitfalls associated with logical empiricism, realism cannot be entertained unless models or (abstractedand/or idealized) (...)
    Download  
     
    Export citation  
     
    Bookmark   57 citations  
  • How the laws of physics lie.Nancy Cartwright - 1983 - New York: Oxford University Press.
    In this sequence of philosophical essays about natural science, the author argues that fundamental explanatory laws, the deepest and most admired successes of modern physics, do not in fact describe regularities that exist in nature. Cartwright draws from many real-life examples to propound a novel distinction: that theoretical entities, and the complex and localized laws that describe them, can be interpreted realistically, but the simple unifying laws of basic theory cannot.
    Download  
     
    Export citation  
     
    Bookmark   1199 citations  
  • On the specialness of special functions (the nonrandom effusions of the divine mathematician).Robert W. Batterman - 2007 - British Journal for the Philosophy of Science 58 (2):263 - 286.
    This article attempts to address the problem of the applicability of mathematics in physics by considering the (narrower) question of what make the so-called special functions of mathematical physics special. It surveys a number of answers to this question and argues that neither simple pragmatic answers, nor purely mathematical classificatory schemes are sufficient. What is required is some connection between the world and the way investigators are forced to represent the world.
    Download  
     
    Export citation  
     
    Bookmark   11 citations  
  • Asymptotics and the role of minimal models.Robert W. Batterman - 2002 - British Journal for the Philosophy of Science 53 (1):21-38.
    A traditional view of mathematical modeling holds, roughly, that the more details of the phenomenon being modeled that are represented in the model, the better the model is. This paper argues that often times this ‘details is better’ approach is misguided. One ought, in certain circumstances, to search for an exactly solvable minimal model—one which is, essentially, a caricature of the physics of the phenomenon in question.
    Download  
     
    Export citation  
     
    Bookmark   94 citations  
  • The Natural Ontological Attitude.Arthur I. Fine - 1984 - In Jarrett Leplin (ed.), Scientific Realism. University of California. pp. 261--77.
    Download  
     
    Export citation  
     
    Bookmark   140 citations  
  • Scientific representation: Against similarity and isomorphism.Mauricio Suárez - 2003 - International Studies in the Philosophy of Science 17 (3):225-244.
    I argue against theories that attempt to reduce scientific representation to similarity or isomorphism. These reductive theories aim to radically naturalize the notion of representation, since they treat scientist's purposes and intentions as non-essential to representation. I distinguish between the means and the constituents of representation, and I argue that similarity and isomorphism are common but not universal means of representation. I then present four other arguments to show that similarity and isomorphism are not the constituents of scientific representation. I (...)
    Download  
     
    Export citation  
     
    Bookmark   202 citations  
  • Wandering Significance: An Essay on Conceptual Behavior.Mark Wilson - 2006 - Oxford, GB: Oxford: Clarendon Press.
    Mark Wilson presents a highly original and broad-ranging investigation of the way we get to grips with the world conceptually, and the way that philosophical problems commonly arise from this. He combines traditional philosophical concerns about human conceptual thinking with illuminating data derived from a large variety of fields including physics and applied mathematics, cognitive psychology, and linguistics. Wandering Significance offers abundant new insights and perspectives for philosophers of language, mind, and science, and will also reward the interest of psychologists, (...)
    Download  
     
    Export citation  
     
    Bookmark   141 citations  
  • An inferential conception of scientific representation.Mauricio Suárez - 2004 - Philosophy of Science 71 (5):767-779.
    This paper defends an inferential conception of scientific representation. It approaches the notion of representation in a deflationary spirit, and minimally characterizes the concept as it appears in science by means of two necessary conditions: its essential directionality and its capacity to allow surrogate reasoning and inference. The conception is defended by showing that it successfully meets the objections that make its competitors, such as isomorphism and similarity, untenable. In addition the inferential conception captures the objectivity of the cognitive representations (...)
    Download  
     
    Export citation  
     
    Bookmark   247 citations  
  • Galilean Idealization.Ernan McMullin - 1985 - Studies in History and Philosophy of Science Part A 16 (3):247.
    Download  
     
    Export citation  
     
    Bookmark   313 citations  
  • Models and the Semantic View.Martin Thomson-Jones - 2006 - Philosophy of Science 73 (5):524-535.
    I begin by distinguishing two notions of model, the notion of a truth-making structure and the notion of a mathematical model (in one specific sense). I then argue that although the models of the semantic view have often been taken to be both truth-making structures and mathematical models, this is in part due to a failure to distinguish between two ways of truth-making; in fact, the talk of truth-making is best excised from the view altogether. The result is a version (...)
    Download  
     
    Export citation  
     
    Bookmark   27 citations  
  • Experimentation and the legitimacy of idealization.Ronald Laymon - 1995 - Philosophical Studies 77 (2-3):353 - 375.
    Download  
     
    Export citation  
     
    Bookmark   7 citations  
  • Science and Partial Truth: A Unitary Approach to Models and Scientific Reasoning.Newton C. A. Da Costa & Steven French - 2003 - New York, US: Oup Usa.
    Da Costa and French explore the consequences of adopting a 'pragmatic' notion of truth in the philosophy of science. Their framework sheds new light on issues to do with belief, theory acceptance, and the realism-antirealism debate, as well as the nature of scientific models and their heuristic development.
    Download  
     
    Export citation  
     
    Bookmark   125 citations  
  • Unifying Scientific Theories: Physical Concepts and Mathematical Structures.Margaret Morrison - 2000 - Cambridge University Press.
    This book is about the methods used for unifying different scientific theories under one all-embracing theory. The process has characterized much of the history of science and is prominent in contemporary physics; the search for a 'theory of everything' involves the same attempt at unification. Margaret Morrison argues that, contrary to popular philosophical views, unification and explanation often have little to do with each other. The mechanisms that facilitate unification are not those that enable us to explain how or why (...)
    Download  
     
    Export citation  
     
    Bookmark   62 citations  
  • The Dappled World: A Study of the Boundaries of Science.Nancy Cartwright - 1999 - New York, NY: Cambridge University Press.
    It is often supposed that the spectacular successes of our modern mathematical sciences support a lofty vision of a world completely ordered by one single elegant theory. In this book Nancy Cartwright argues to the contrary. When we draw our image of the world from the way modern science works - as empiricism teaches us we should - we end up with a world where some features are precisely ordered, others are given to rough regularity and still others behave in (...)
    Download  
     
    Export citation  
     
    Bookmark   575 citations  
  • The devil in the details: asymptotic reasoning in explanation, reduction, and emergence.Robert W. Batterman - 2002 - New York: Oxford University Press.
    Robert Batterman examines a form of scientific reasoning called asymptotic reasoning, arguing that it has important consequences for our understanding of the scientific process as a whole. He maintains that asymptotic reasoning is essential for explaining what physicists call universal behavior. With clarity and rigor, he simplifies complex questions about universal behavior, demonstrating a profound understanding of the underlying structures that ground them. This book introduces a valuable new method that is certain to fill explanatory gaps across disciplines.
    Download  
     
    Export citation  
     
    Bookmark   267 citations