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Naturalizing Badiou: mathematical ontology and structural realism

New York: Palgrave-Macmillan (2014)

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  1. Critical Notices.Nancy Cartwright - 2003 - Philosophy and Phenomenological Research 66 (1):244-249.
    The Dappled World: A Study of the Boundaries of Science. nancy cartwright. Plato's Reception of Parmenides. john a. palmer.
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  • 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.
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  • Foundations of Logic and Mathematics. [REVIEW]E. N. - 1939 - Journal of Philosophy 36 (23):636-637.
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  • Structural realism and the interpretation of quantum field theory.Tian Yu Cao - 2003 - Synthese 136 (1):3 - 24.
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  • Can we dissolve physical entities into mathematical structures?Tian Yu Cao - 2003 - Synthese 136 (1):57 - 71.
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  • A thing of this world: a history of continental anti-realism.Lee Braver - 2007 - Evanston, Ill.: Northwestern University Press.
    At a time when the analytic/continental split dominates contemporary philosophy, this ambitious work offers a careful and clear-minded way to bridge that divide. Combining conceptual rigor and clarity of prose with historical erudition, A Thing of This World shows how one of the standard issues of analytic philosophy—realism and anti-realism—has also been at the heart of continental philosophy. Using a framework derived from prominent analytic thinkers, Lee Braver traces the roots of anti-realism to Kant's idea that the mind actively organizes (...)
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  • A subject with no object: strategies for nominalistic interpretation of mathematics.John P. Burgess & Gideon Rosen - 1997 - New York: Oxford University Press. Edited by Gideon A. Rosen.
    Numbers and other mathematical objects are exceptional in having no locations in space or time or relations of cause and effect. This makes it difficult to account for the possibility of the knowledge of such objects, leading many philosophers to embrace nominalism, the doctrine that there are no such objects, and to embark on ambitious projects for interpreting mathematics so as to preserve the subject while eliminating its objects. This book cuts through a host of technicalities that have obscured previous (...)
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  • What is structural empiricism? Scientific change in an empiricist setting.Otávio Bueno - 1999 - Erkenntnis 50 (1):55-81.
    In this paper a constructive empiricist account of scientific change is put forward. Based on da Costa's and French's partial structures approach, two notions of empirical adequacy are initially advanced (with particular emphasis on the introduction of degrees of empirical adequacy). Using these notions, it is shown how both the informativeness and the empirical adequacy requirements of an empiricist theory of scientific change can then be met. Finally, some philosophical consequences with regard to the role of structures in this context (...)
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  • On representing the relationship between the mathematical and the empirical.Otávio Bueno, Steven French & James Ladyman - 2002 - Philosophy of Science 69 (3):497-518.
    We examine, from the partial structures perspective, two forms of applicability of mathematics: at the “bottom” level, the applicability of theoretical structures to the “appearances”, and at the “top” level, the applicability of mathematical to physical theories. We argue that, to accommodate these two forms of applicability, the partial structures approach needs to be extended to include a notion of “partial homomorphism”. As a case study, we present London's analysis of the superfluid behavior of liquid helium in terms of Bose‐Einstein (...)
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  • Empiricism, scientific change and mathematical change.Otávio Bueno - 2000 - Studies in History and Philosophy of Science Part A 31 (2):269-296.
    The aim of this paper is to provide a unified account of scientific and mathematical change in a thoroughly empiricist setting. After providing a formal modelling in terms of embedding, and criticising it for being too restrictive, a second modelling is advanced. It generalises the first, providing a more open-ended pattern of theory development, and is articulated in terms of da Costa and French's partial structures approach. The crucial component of scientific and mathematical change is spelled out in terms of (...)
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  • Tales of the mighty dead: historical essays in the metaphysics of intentionality.Robert Brandom - 2002 - Cambridge, Mass.: Harvard University Press.
    A work in the history of systematic philosophy that is itself animated by a systematic philosophic aspiration, this book by one of the most prominent American ...
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  • Brandom, Tales of the Mighty Dead: Historical Essays in the Metaphysics of Intentionality. [REVIEW]Wayne M. Martin - 2006 - Philosophical Review 115 (3):395-398.
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  • Badiou's materialist epistemology of mathematics.Ray Brassier - 2005 - Angelaki 10 (2):135 – 150.
    One establishes oneself within science from the start. One does not reconstitute it from scratch. One does not found it. Alain Badiou, Le Concept de modèle1 [T]here are no crises within science, nor can there be, for science is the pure affirmation of difference. Alain Badiou, "Marque et manque" 2.
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  • A brief history of continental realism.Lee Braver - 2012 - Continental Philosophy Review 45 (2):261-289.
    This paper explains the nature and origin of what I am calling Transgressive Realism, a middle path between realism and anti-realism which tries to combine their strengths while avoiding their weaknesses. Kierkegaard created the position by merging Hegel’s insistence that we must have some kind of contact with anything we can call real (thus rejecting noumena), with Kant’s belief that reality fundamentally exceeds our understanding; human reason should not be the criterion of the real. The result is the idea that (...)
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  • Realism, underdetermination, and a causal theory of evidence.Richard Boyd - 1973 - Noûs 7 (1):1-12.
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  • On the current status of the issue of scientific realism.Richard Boyd - 1983 - Erkenntnis 19 (1-3):45 - 90.
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  • New Essays on the A Priori.Paul Artin Boghossian & Christopher Peacocke (eds.) - 2000 - Oxford, GB: Oxford University Press.
    A stellar line-up of leading philosophers from around the world offer new treatments of a topic which has long been central to philosophical debate, and in ...
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  • New Essays on the A Priori.L. Bonjour - 2002 - Mind 111 (443):647-652.
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  • The identity of indiscernibles.Max Black - 1952 - Mind 61 (242):153-164.
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  • Models and metaphors.Max Black - 1962 - Ithaca, N.Y.,: Cornell University Press.
    Author Max Black argues that language should conform to the discovered regularities of experience it is radically mistaken to assume that the conception of language is a mirror of reality.
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  • Models and Metaphors: Studies in Language and Philosophy.William Sacksteder - 1962 - Philosophy and Phenomenological Research 23 (2):289-290.
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  • The moral authority of nature.Lorraine Daston & Fernando Vidal (eds.) - 2004 - Chicago: University of Chicago Press.
    For thousands of years, people have used nature to justify their political, moral, and social judgments. Such appeals to the moral authority of nature are still very much with us today, as heated debates over genetically modified organisms and human cloning testify. The Moral Authority of Nature offers a wide-ranging account of how people have used nature to think about what counts as good, beautiful, just, or valuable. The eighteen essays cover a diverse array of topics, including the connection of (...)
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  • What numbers could not be.Paul Benacerraf - 1965 - Philosophical Review 74 (1):47-73.
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  • Mathematical truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.
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  • The fate of reason: German philosophy from Kant to Fichte.Frederick C. Beiser - 1987 - Cambridge, Mass.: Harvard University Press.
    The Fate of Reason is the first general history devoted to the period between Kant and Fichte, one of the most revolutionary and fertile in modern philosophy.
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  • Plato, our dear Plato!Alain Badiou & Alberto Toscano - 2006 - Angelaki 11 (3):39 – 41.
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  • The nature of mathematical knowledge.Philip Kitcher - 1983 - Oxford: Oxford University Press.
    This book argues against the view that mathematical knowledge is a priori,contending that mathematics is an empirical science and develops historically,just as ...
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  • The Fate of Reason: German Philosophy from Kant to Fichte.Karl Ameriks & Frederick C. Beiser - 1989 - Philosophical Review 98 (3):398.
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  • A realist conception of truth.William P. Alston - 1996 - Ithaca, N.Y.: Cornell University Press.
    William P. Alston formulates and defends a realist conception of truth, which he calls alethic realism (from "aletheia", Greek for "truth").
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  • Foucault and Enlightenment: A Critical Reappraisal.Amy Allen - 2003 - Constellations 10 (2):180-198.
    In a late discussion of Kant’s essay, “Was ist Aufklärung?,” Foucault credits Kant with posing “the question of his own present” and positions himself as an inheritor of this Kantian legacy.1 Foucault has high praise for the critical tradition that emerges from Kant’s historical-political reflections on the Enlightenment and the French Revolution; Kant’s concern in these writings with “an ontology of the present, an ontology of ourselves” is, he says, characteristic of “a form of philosophy, from Hegel, through Nietzsche and (...)
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  • What is ontic structural realism?Peter Mark Ainsworth - 2010 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 41 (1):50-57.
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  • What is ontic structural realism?Peter Mark Ainsworth - 2010 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 41 (1):50-57.
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  • Prospects for Peircean Epistemic Infinitism.Scott F. Aikin - 2009 - Contemporary Pragmatism 6 (2):71-87.
    Epistemic infinitism is the view that infinite series of inferential relations are productive of epistemic justification. Peirce is explicitly infinitist in his early work, namely his 1868 series of articles. Further, Peirce's semiotic categories of firsts, seconds, and thirds favors a mixed theory of justification. The conclusion is that Peirce was an infinitist, and particularly, what I will term an impure infinitist. However, the prospects for Peirce's infinitism depend entirely on the prospects for Peirce's early semantics, which are not good. (...)
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  • Meta-epistemology and the varieties of epistemic infinitism.Scott F. Aikin - 2008 - Synthese 163 (2):175-185.
    I will assume here the defenses of epistemic infinitism are adequate and inquire as to the variety standpoints within the view. I will argue that infinitism has three varieties depending on the strength of demandingness of the infinitist requirement and the purity of its conception of epistemic justification, each of which I will term strong pure, strong impure, and weak impure infinitisms. Further, I will argue that impure infinitisms have the dialectical advantage.
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  • Theories of Scientific Method: An Introduction.Robert Nola & Howard Sankey - 2007 - Stocksfield: Acumen Publishing. Edited by Howard Sankey.
    What is it to be scientific? Is there such a thing as scientific method? And if so, how might such methods be justified? Robert Nola and Howard Sankey seek to provide answers to these fundamental questions in their exploration of the major recent theories of scientific method. Although for many scientists their understanding of method is something they just pick up in the course of being trained, Nola and Sankey argue that it is possible to be explicit about what this (...)
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  • The Evolution of Modern Metaphysics: Making Sense of Things.A. W. Moore - 2011 - New York: Cambridge University Press.
    This book is concerned with the history of metaphysics since Descartes. Taking as its definition of metaphysics 'the most general attempt to make sense of things', it charts the evolution of this enterprise through various competing conceptions of its possibility, scope, and limits. The book is divided into three parts, dealing respectively with the early modern period, the late modern period in the analytic tradition, and the late modern period in non-analytic traditions. In its unusually wide range, A. W. Moore's (...)
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  • Every Thing Must Go: Metaphysics Naturalized.James Ladyman & Don Ross - 2007 - In James Ladyman & Don Ross (eds.), Every thing must go: metaphysics naturalized. New York: Oxford University Press.
    This book argues that the only kind of metaphysics that can contribute to objective knowledge is one based specifically on contemporary science as it really is, and not on philosophers' a priori intuitions, common sense, or simplifications of science. In addition to showing how recent metaphysics has drifted away from connection with all other serious scholarly inquiry as a result of not heeding this restriction, this book demonstrates how to build a metaphysics compatible with current fundamental physics, which, when combined (...)
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  • On the Plurality of Worlds.David Lewis - 1986 - Revue Philosophique de la France Et de l'Etranger 178 (3):388-390.
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  • The Dappled World: A Study of the Boundaries of Science.Nancy Cartwright - 2001 - Erkenntnis 54 (3):411-415.
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  • Our Knowledge of the External World: As a Field for Scientific Method in Philosophy.Bertrand Russell - 1914 - Chicago and London: Routledge.
    _'Philosophy, from the earliest times, has made greater claims, and acheived fewer results than any other branch of learning... I believe that the time has now arrived when this unsatisfactory state of affairs can be brought to an end'_ - _Bertrand Russell_ So begins _Our Knowledge of the Eternal World_, Bertrand Russell's classic attempt to show by means of examples, the nature, capacity and limitations of the logico-analytical method in philosophy.
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  • An Introduction to Metaphysics.John W. Carroll & Ned Markosian - 2010 - New York: Cambridge University Press. Edited by Ned Markosian.
    This book is an accessible introduction to the central themes of contemporary metaphysics. It carefully considers accounts of causation, freedom and determinism, laws of nature, personal identity, mental states, time, material objects, and properties, while inviting students to reflect on metaphysical problems. The philosophical questions discussed include: What makes it the case that one event causes another event? What are material objects? Given that material objects exist, do such things as properties exist? What makes it the case that a person (...)
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  • Who is Nietzsche?Alain Badiou - 2009 - In Dominiek Hoens, Sigi Jottkandt & Gert Buelens (eds.), The catastrophic imperative: subjectivity, time and memory in contemporary thought. New York: Palgrave-Macmillan. pp. 1-11.
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  • Mathematical reality‖.J. Polkinghorne - 2011 - In John Polkinghorne (ed.), Meaning in mathematics. New York: Oxford University Press. pp. 27--34.
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  • The Politics of Logic: Badiou, Wittgenstein, and the Consequences of Formalism.Paul M. Livingston - 2011 - New York: Routledge.
    In this book, Livingston develops the political implications of formal results obtained over the course of the twentieth century in set theory, metalogic, and computational theory. He argues that the results achieved by thinkers such as Cantor, Russell, Godel, Turing, and Cohen, even when they suggest inherent paradoxes and limitations to the structuring capacities of language or symbolic thought, have far-reaching implications for understanding the nature of political communities and their development and transformation. Alain Badiou's analysis of logical-mathematical structures forms (...)
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  • Empiricism, Semantics and Ontology.Rudolf Carnap - 1950 - Revue Internationale de Philosophie 4 (11):20-40.
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  • Enlightenment shadows.Genevieve Lloyd - 2013 - Oxford: Oxford University Press.
    Genevieve Lloyd presents a new study of the place of Enlightenment thought in intellectual history and of its continued relevance. She offers original readings of a range of key texts, which highlight the ways in which Enlightenment thinkers enacted in their writing--and reflected on--the interplay of intellect, imagination, and emotion.
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  • The World in the Data.James A. C. Ladyman & Don A. Ross - 2013 - In Don Ross, James Ladyman & Harold Kincaid (eds.), Scientific metaphysics. Oxford: Oxford University Press. pp. 108-150.
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  • Alain Badiou: between theology and anti-theology / Hollis Phelps.Hollis Phelps - 2013 - Durham: Acumen Publishing.
    'Alain Badiou: Between Theology and Anti-theology' provides one of the first comprehensive analyses of the relationship between Badiou's philosophy and theology. Examining the full range of Badiou's writings, this provocative study explores how Badiou's philosophy relies on theology even if he claims otherwise and actively attempts to work against theology. Despite the complex questions discussed - ranging across ontology, the theory of truth and the subject, philosophy and its conditions, and anti-philosophy - this book presents a clear and accessible overview (...)
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  • The Mathematical Universe.Max Tegmark - 2007 - Foundations of Physics 38 (2):101-150.
    I explore physics implications of the External Reality Hypothesis (ERH) that there exists an external physical reality completely independent of us humans. I argue that with a sufficiently broad definition of mathematics, it implies the Mathematical Universe Hypothesis (MUH) that our physical world is an abstract mathematical structure. I discuss various implications of the ERH and MUH, ranging from standard physics topics like symmetries, irreducible representations, units, free parameters, randomness and initial conditions to broader issues like consciousness, parallel universes and (...)
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  • Structural Realism.James Ladyman - 2014 - In Edward N. Zalta (ed.), The Stanford Encyclopedia of Philosophy. Stanford, CA: The Metaphysics Research Lab.
    Structural realism is considered by many realists and antirealists alike as the most defensible form of scientific realism. There are now many forms of structural realism and an extensive literature about them. There are interesting connections with debates in metaphysics, philosophy of physics and philosophy of mathematics. This entry is intended to be a comprehensive survey of the field.
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