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Objectivity Sans Intelligibility. Hermann Weyl's Symbolic Constructivism

Dissertation, University of Notre Dame (2011)

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  1. Weyl, Reichenbach and the epistemology of geometry.Ryckman Thomas - 1994 - Studies in History and Philosophy of Science Part A 25 (6):831-870.
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  • Ludwig Boltzmann and his Influence on Science.D. Flamm - 1983 - Studies in History and Philosophy of Science Part A 14 (4):255.
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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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  • Gruppentheorie und Quantenmechanik.H. Weyl & Born - 1930 - Revue Philosophique de la France Et de l'Etranger 110:471-472.
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  • The Generalized Theory of Gravitation.[author unknown] - 1950 - New Scholasticism 24 (2):113-114.
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  • Hermann WEYL.[author unknown] - 1957 - Revue Philosophique de la France Et de l'Etranger 147:133-133.
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  • Dedekind against Intuition: Rigor, Scope and the Motives of his Logicism.Michael Detlefsen - 2011 - In Carlo Cellucci, Emily Grosholz & Emiliano Ippoliti (eds.), Logic and Knowledge. Newcastle upon Tyne: Cambridge Scholars Publications. pp. 205-221.
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  • Of identity and diversity (book II, chapter XXVII).John Locke - 1689 - In An essay concerning human understanding. New York: Oxford University Press.
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  • Ideen zu einer reinen phänomenologie und phänomenologischen philosophie.Edmund Husserl - 1929 - Halle a.d. S.,: M. Niemeyer.
    Mit den "Ideen zu einer reinen Phänomenologie und phänomenologischen Philosophie" von 1913, von ihm selbst nur als eine "Allgemeine Einführung in die reine Phänomenologie" angezeigt, zog Edmund Husserl die Konsequenz aus seinen Logischen Untersuchungen (PhB 601), die ihn 1900/01 berühmt gemacht hatten: Ausgehend von der dort entwickelten Phänomenologie der intentionalen Erlebnisse sieht er jetzt in der Aufdeckung der Leistungen des "reinen Bewußtseins", dem die uns bekannte natürliche Welt nur als "Bewußtseinskorrelat" gegeben ist, den eigentlichen Gegenstand philosophischer Erkenntnis und in den (...)
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  • Wahrheit und Evidenz: Erkenntnistheoretische Abhandlungen und Briefe.Franz Brentano - 1930 - Leipzig,: Meiner. Edited by Oskar Kraus.
    Brentanos Reflexionen über das Verhältnis von Wahrheit und Evidenz wurden erst 1930 herausgegeben. Ihre Kenntnis ist unentbehrlich für das Verständnis seines Verhältnisses zu den an ihn anknüpfenden Denkern, insbesondere zu Husserl.
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  • Lectures on Fundamental Concepts of Algebra and Geometry.E. Jordan - 1912 - Philosophical Review 21 (6):718-719.
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  • Philosophical remarks.Ludwig Wittgenstein - 1975 - Chicago: University of Chicago Press. Edited by Rush Rhees.
    When in May 1930, the Council of Trinity College, Cambridge, had to decide whether to renew Wittgenstein's research grant, it turned to Bertrand Russell for an assessment of the work Wittgenstein had been doing over the past year. His verdict: "The theories contained in this new work . . . are novel, very original and indubitably important. Whether they are true, I do not know. As a logician who likes simplicity, I should like to think that they are not, but (...)
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  • Das Kontinuum.H. Weyl - 1960 - Journal of Symbolic Logic 25 (3):282-284.
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  • In Defence of Naiveté: The Conceptual Status of Lagrangian Quantum Field Theory.David Wallace - 2006 - Synthese 151 (1):33-80.
    I analyse the conceptual and mathematical foundations of Lagrangian quantum field theory (QFT) (that is, the ‘naive’ (QFT) used in mainstream physics, as opposed to algebraic quantum field theory). The objective is to see whether Lagrangian (QFT) has a sufficiently firm conceptual and mathematical basis to be a legitimate object of foundational study, or whether it is too ill-defined. The analysis covers renormalisation and infinities, inequivalent representations, and the concept of localised states; the conclusion is that Lagrangian QFT (at least (...)
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  • Wittgenstein on Mathematical Meaningfulness, Decidability, and Application.Victor Rodych - 1997 - Notre Dame Journal of Formal Logic 38 (2):195-224.
    From 1929 through 1944, Wittgenstein endeavors to clarify mathematical meaningfulness by showing how (algorithmically decidable) mathematical propositions, which lack contingent "sense," have mathematical sense in contrast to all infinitistic "mathematical" expressions. In the middle period (1929-34), Wittgenstein adopts strong formalism and argues that mathematical calculi are formal inventions in which meaningfulness and "truth" are entirely intrasystemic and epistemological affairs. In his later period (1937-44), Wittgenstein resolves the conflict between his intermediate strong formalism and his criticism of set theory by requiring (...)
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  • Four letters from Edmund Husserl to Hermann Weyl.D. Van Dalen - 1984 - Husserl Studies 1 (1):1-12.
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  • Twilight of the perfect model model.Paul Teller - 2001 - Erkenntnis 55 (3):393-415.
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  • How we dapple the world.Paul Teller - 2004 - Philosophy of Science 71 (4):425-447.
    This essay endorses the conclusion of Sklar’s “Dappled Theories in a Uniform World” that he announces in his abstract, that notwithstanding recent attacks foundational theories are universal in their scope. But Sklar’s rejection of a “pluralist ontology” is questioned. It is concluded that so called “foundational” and “phenomenological” theories are on a much more equal footing as sources of knowledge than Sklar would allow, that “giving an ontology” generally involves dealing in idealizations, and that a transfigured “ficitonalism” provides an (in (...)
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  • Dappled theories in a uniform world.Lawrence Sklar - 2003 - Philosophy of Science 70 (2):424-441.
    It has been argued, most trenchantly by Nancy Cartwright, that the diversity of the concepts and regularities we actually use to describe nature and predict and explain its behavior leaves us with no reason to believe that our foundational physical theories actually "apply" outside of delicately contrived systems within the laboratory. This paper argues that, diversity of method notwithstanding, there is indeed good reason to think that the foundational laws of physics are universal in their scope.
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  • Categoricity of Uncountable Theories.Saharon Shelah & Leon Henkin - 1981 - Journal of Symbolic Logic 46 (4):866-867.
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  • Wittgenstein and the Turning-Point in the Philosophy of Mathematics. [REVIEW]Mark Steiner - 1989 - Journal of Symbolic Logic 54 (3):1098-1100.
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  • Wittgenstein and the Turning Point in the Philosophy of Mathematics.S. G. Shanker - 1987 - Revue Philosophique de la France Et de l'Etranger 182 (2):248-253.
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  • Wittgenstein and the Turning Point in the Philosophy of Mathematics.S. G. Shanker - 1987 - Tijdschrift Voor Filosofie 50 (3):573-573.
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  • Hobbes: The art of the geometricians.William Sacksteder - 1980 - Journal of the History of Philosophy 18 (2):131-146.
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  • A matter of degree: Putting unitary inequivalence to work.Laura Ruetsche - 2003 - Philosophy of Science 70 (5):1329-1342.
    If a classical system has infinitely many degrees of freedom, its Hamiltonian quantization need not be unique up to unitary equivalence. I sketch different approaches (Hilbert space and algebraic) to understanding the content of quantum theories in light of this non‐uniqueness, and suggest that neither approach suffices to support explanatory aspirations encountered in the thermodynamic limit of quantum statistical mechanics.
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  • Knowledge, Understanding and Epistemic Value.Duncan Pritchard - 2009 - Royal Institute of Philosophy Supplement 64:19-43.
    It is argued that a popular way of accounting for the distinctive value of knowledge by appeal to the distinctive value of cognitive achievements fails because it is a mistake to identify knowledge with cognitive achievements. Nevertheless, it is claimed that understanding, properly conceived, is a type of cognitive achievement, and thus that the distinctive value of cognitive achievements can explain why understanding is of special value.
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  • Constructing Quarks: A sociological history of particle physics.Andrew Pickering - 1984 - University of Chicago Press.
    Inviting a reappraisal of the status of scientific knowledge, Andrew Pickering suggests that scientists are not mere passive observers and reporters of nature.
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  • Invariances: the structure of the objective world.Robert Nozick - 2001 - Cambridge, Mass.: Belknap Press of Harvard University Press.
    Excerpts from Robert Nozick's "Invariances" Necessary truths are invariant across all possible worlds, contingent ones across only some.
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  • Philosophische Propädeutik.Alexius Meinong - 1892 - Philosophical Review 1 (5):552-554.
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  • Mach and Husserl.Colin McGinn - 1972 - Journal of the British Society for Phenomenology 3 (2):146-157.
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  • Nothing more or less than logic: General logic, transcendental philosophy, and Kant's repudiation of Fichte's Wissenschaftslehre.Wayne M. Martin - 2003 - Topoi 22 (1):29-39.
    In this paper I lay the foundations for an understanding of one of Fichte's most neglected and least understood texts: the late lecture course on Transcendental Logic. I situate this work in the context of Fichte's lifelong struggle with the problem of understanding the relation between logic and philosophy – a problem that I show to figure centrally both in Fichte's own revolutionary thinking and in his response to Kant's notorious denunciation of the Wissenschaftslehre. By attending to this context we (...)
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  • Mathematics and phenomenology: The correspondence between O. Becker and H. Weyl.Paolo Mancosu & T. A. Ryckman - 2002 - Philosophia Mathematica 10 (2):130-202.
    Recently discovered correspondence from Oskar Becker to Hermann Weyl sheds new light on Weyl's engagement with Husserlian transcendental phenomenology in 1918-1927. Here the last two of these letters, dated July and August, 1926, dealing with issues in the philosophy of mathematics are presented, together with background and a detailed commentary. The letters provide an instructive context for re-assessing the connection between intuitionism and phenomenology in Weyl's foundational thought, and for understanding Weyl's term ‘symbolic construction’ as marking his own considered position (...)
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  • Inference to the Best Explanation.Peter Lipton - 1991 - London and New York: Routledge/Taylor and Francis Group.
    How do we go about weighing evidence, testing hypotheses, and making inferences? The model of " inference to the best explanation " -- that we infer the hypothesis that would, if correct, provide the best explanation of the available evidence--offers a compelling account of inferences both in science and in ordinary life. Widely cited by epistemologists and philosophers of science, IBE has nonetheless remained little more than a slogan. Now this influential work has been thoroughly revised and updated, and features (...)
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  • Précis of Inference to the Best Explanation, 2 nd Edition.Peter Lipton - 2007 - Philosophy and Phenomenological Research 74 (2):421-423.
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  • Idealization and Explanation: A Case Study from Statistical Mechanics.Lawrence Sklar - 1993 - Midwest Studies in Philosophy 18 (1):258-270.
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  • Logische Untersuchungen: Untersuchungen zur Phänomenologie und Theorie der Erkenntnis.Edmund Husserl (ed.) - 1993 - Tübingen,: de Gruyter.
    Husserls »Logische Untersuchungen« sind eines der folgenreichsten Werke der neueren Philosophiegeschichte. Mit dem ersten Erscheinen in den Jahren 1900 und 1901 (Max Niemeyer Verlag, Halle/Saale) nimmt jene Schule ihren Anfang, deren Name im Untertitel des zweiten Bandes zum ersten Mal sinnfällig wird: die Phänomenologie. Husserl sah damals in diesem Werk »Versuche zur Neubegründung der reinen Logik und Erkenntnistheorie«, die den Grund zu einem größeren Gedankengebäude zu legen imstande waren. Sie wollten freilich kein bloßes Programm sein, sondern »Fundamentalarbeit an den unmittelbar (...)
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  • A First Course in Logic: An Introduction to Model Theory, Proof Theory, Computability, and Complexity.Alasdair Urquhart - 2007 - Bulletin of Symbolic Logic 13 (4):538-540.
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  • A first course in logic: an introduction to model theory, proof theory, computability, and complexity.Shawn Hedman - 2004 - New York: Oxford University Press.
    The ability to reason and think in a logical manner forms the basis of learning for most mathematics, computer science, philosophy and logic students. Based on the author's teaching notes at the University of Maryland and aimed at a broad audience, this text covers the fundamental topics in classical logic in an extremely clear, thorough and accurate style that is accessible to all the above. Covering propositional logic, first-order logic, and second-order logic, as well as proof theory, computability theory, and (...)
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  • Die Widerspruchsfreiheit der reinen Zahlentheorie.Gerhard Gentzen - 1936 - Journal of Symbolic Logic 1 (2):75-75.
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  • Realism and Truth.Philip Gasper - 1986 - Philosophical Review 95 (3):446.
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  • Unitary inequivalence as a problem for structural realism.Steven French - 2012 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 43 (2):121-136.
    Howard argues that the existence of unitarily inequivalent representations in Quantum Field Theory presents a problem for structural realism in this context. I consider two potential ways round this problem: 1), follow Wallace in adopting the 'naive' Lagrangian form of QFT with cut-offs; 2), adapt Ruetsche's 'Swiss Army Knife' approach. The first takes us into the current debate between Wallace and Fraser on conventional vs. algebraic QFT. The second involves consideration of the role of inequivalent representations in understanding spontaneous symmetry (...)
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  • A phenomenological solution to the measurement problem? Husserl and the foundations of quantum mechanics.Steven French - 2002 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 33 (3):467-491.
    The London and Bauer monograph occupies a central place in the debate concerning the quantum measurement problem. Gavroglu has previously noted the influence of Husserlian phenomenology on London's scientific work. However, he has not explored the full extent of this influence in the monograph itself. I begin this paper by outlining the important role played by the monograph in the debate. In effect, it acted as a kind of 'lens' through which the standard, or Copenhagen, 'solution' to the measurement problem (...)
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  • All or nothing: systematicity, transcendental arguments, and skepticism in German idealism.Paul W. Franks - 2005 - Cambridge, Mass.: Harvard University Press.
    In this work, the first overview of the German Idealism that is both conceptual and methodological, Paul W. Franks offers a philosophical reconstruction that is...
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  • Sonnenklarer Bericht an das größere Publikum über das eigentliche Wesen der neuesten Philosophie: Ein Versuch, die Leser zum Verstehen zu zwingen.Johann Gottlieb Fichte - 2020 - Walter de Gruyter GmbH & Co KG.
    This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections (...)
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  • On the method of theoretical physics.Albert Einstein - 1934 - Philosophy of Science 1 (2):163-169.
    If you wish to learn from the theoretical physicist anything about the methods which he uses, I would give you the following piece of advice: Don't listen to his words, examine his achievements. For to the discoverer in that field, the constructions of his imagination appear so necessary and so natural that he is apt to treat them not as the creations of his thoughts but as given realities.
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  • Curie’s Principle and spontaneous symmetry breaking.John Earman - 2004 - International Studies in the Philosophy of Science 18 (2 & 3):173 – 198.
    In 1894 Pierre Curie announced what has come to be known as Curie's Principle: the asymmetry of effects must be found in their causes. In the same publication Curie discussed a key feature of what later came to be known as spontaneous symmetry breaking: the phenomena generally do not exhibit the symmetries of the laws that govern them. Philosophers have long been interested in the meaning and status of Curie's Principle. Only comparatively recently have they begun to delve into the (...)
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  • Realism and truth.Michael Devitt - 1984 - Cambridge, Mass., USA: Blackwell.
    This second edition includes a new Afterword by the author.
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  • Hilbert's Program.M. Detlefsen - 1992 - Noûs 26 (4):513-514.
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  • Categoricity.John Corcoran - 1980 - History and Philosophy of Logic 1 (1):187-207.
    After a short preface, the first of the three sections of this paper is devoted to historical and philosophic aspects of categoricity. The second section is a self-contained exposition, including detailed definitions, of a proof that every mathematical system whose domain is the closure of its set of distinguished individuals under its distinguished functions is categorically characterized by its induction principle together with its true atoms (atomic sentences and negations of atomic sentences). The third section deals with applications especially those (...)
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  • Phenomenology and analysis: essays on Central European philosophy.Arkadiusz Chrudzimski & Wolfgang Huemer (eds.) - 2004 - Lancaster: Ontos.
    The history of twentieth century philosophy is characterised by the gap between analytic and continental philosophy -- even though both have their roots in a tradition referred to as 'Austrian' or 'Central-European' philosophy. The essays in this volume show in historical and systematic studies, how a reassessment of this 'Central-European' tradition can build an interesting bridge between phenomenology and analytic philosophy and, thus, create a new foundation that allows for an original perspective on central problems of philosophy.
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