University of California, Riverside

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Philos. Dept.

Publications

Edited Books:

  • Gottlob Frege: Critical Assessments of Leading Philosophers, 4 Vols., M. Beaney & E. Reck, eds., London: Routledge, 2005 (contents, general introduction, etc.)

  • From Frege to Wittgenstein: Perspectives on Early Analytic Philosophy, E. Reck, ed., New York: Oxford University Press, 2002; reprinted in the Oxford Scholarship Online program, 2003 (abstracts)

Translated Book:

  • Frege's Lectures on Logic: Carnap's Student Notes, 1910-1914, E. Reck & S. Awodey, eds. and trans., G. Gabriel, introduction, Chicago: Open Court, 2004 (preface)

Special Issues of Journals:

Articles:

  • "Philosophical and Scientific Background of Logical Empiricism: Logic and the Foundations of Mathematics", in The Routledge Handbook on Logical Empiricism, T. Uebel, ed., London: Routledge, forthcoming 2020/21, 16 ms. pp.

  • "Dedekind's Logicism: A Reconsideration and Contextualization", in Origins and Varieties of Logicism: A Foundational Journey in the Philosophy of Mathematics, A. Sereni & F. Boccuni, eds., London: Routledge, forthcoming 2020/21, 28 ms. pp.

  • "From Dedekind to Cassirer: Logicism and the Kantian Heritage" (with Pierre Keller), in Kant's Philosophy of Mathematics, Vol. II, O. Rechter & C. Posy, eds., Oxford: Oxford University Press, forthcoming 2020/21, 32 ms. pp. (draft)

  • "Cassirer's Reception of Dedekind and the Structuralist Transformation of Mathematics" in The Prehistory of Mathematical Structuralism, E. Reck & G. Schiemer, eds., Oxford: Oxford University Press, 2020, pp. 329-351 (paper)

  • "Dedekind's Mathematical Structuralism: From Galois Theory to Numbers, Sets, and Functions" (with Jose Ferreiros), in The Prehistory of Mathematical Structuralism, E. Reck & G. Schiemer, eds., Oxford: Oxford University Press, 2020, pp. 59-87 (paper)

  • "Structuralism in the Philosophy of Mathematics" (with Georg Schiemer), Stanford Encyclopedia of Philosophy, E. Zalta, main editor, available online since Nov. 18, 2019, pp. 1-49 (paper)

  • "Frege's Relation to Dedekind: Basic Laws and Beyond", in Essays on Frege's Basic Laws of Arithmetic, P. Ebert & M. Rossberg, eds., Oxford: Oxford University Press, 2019, pp. 264-284 (paper)

  • "The Logic in Dedekind's Logicism", in Logic from Kant to Russell: Laying the Foundations for Analytic Philosophy, S. Lapointe, ed., London: Routledge, 2019, pp. 171-188 (paper)

  • "On Reconstructing Dedekind Abstraction Logically", in Logic, Philosophy of Mathematics, and their History: Essays in Honor of W.W. Tait, E. Reck, ed., London: College Publications, 2018, pp. 113-138 (paper)

  • "Dedekind as a Philosopher of Mathematics", in In Memoriam Richard Dedekind (1831-1916): Number Theory, Algebra, Set Theory, History, Philosophy, K. Scheel, T. Sonar & P. Ullrich, eds., Muenster: WTM-Verlag, 2017, pp. 36-49 (paper)

  • "Carnap's Early Metatheory: Scope and Limits" (with Georg Schiemer & Richard Zach), Synthese 194, Special Issue: Carnap on Logic, G. Schiemer, guest ed., 2017, pp. 33-65 (online first: Sept. 14, 2015) (paper)

  • "Carnapian Explication, Formalisms as Cognitive Tools, and the Paradox of Adequate Formalization" (with Catarina Dutilh Novaes), Synthese 194, Special Issue: Carnap on Logic, G. Schiemer, guest ed., 2017, pp. 195-215 (online first: July 10, 2015) (paper)

  • "Logic in the 1930s: Type Theory and Model Theory" (with Georg Schiemer), The Bulletin of Symbolic Logic 19:4, 2013, pp. 433-472 (paper)

  • "Developments in Logic: Carnap, Gödel, and Tarski", in The Oxford Handbook of the History of Analytic Philosophy, M. Beaney, ed., Oxford University Press, 2013, pp. 546-571 (paper)

  • "Frege, Dedekind, and the Origins of Logicism", History and Philosophy of Logic 34, Special Issue: Frege's Philosophy of Mathematics and Language, S. Costreie, guest editor, 2013, pp. 242-65 (paper)

  • "Frege or Dedekind? Towards a Reevaluation of their Legacies", in The Historical Turn in Analytic Philosophy, E. Reck, ed., London: Palgrave Macmillan, 2013, pp. 139-170 (paper)

  • "Hempel, Carnap, and the Covering Law Model", in The Berlin Group and the Philosophy of Logical Empiricism, N. Milkov & V. Peckhaus, eds., Springer: Berlin, 2013, pp. 311-324 (paper)

  • "Carnapian Explication: A Case Study and Critique", in Carnap's Ideal of Explication and Naturalism, P. Wagner, ed., London: Palgrave Mamillan, 2012, pp. 96-116 (paper)

  • "Dedekind, Structural Reasoning, and Mathematical Understanding", in New Perspectives on Mathematical Practices, B. van Kerkhove, ed., Singapore: WSPC Press, 2009, pp. 150-173 (paper)

  • "Dedekind's Contributions to the Foundations of Mathematics", Stanford Encyclopedia of Philosophy, E. Zalta, main editor, available online since April 22, 2008; revised and updated in 2011, revised and updated again in 2016, pp. 1-51 (paper)

  • "Frege on Truth, Judgment, and Objectivity", Grazer Philosophische Studien 75, 2007, Special Issue: Essays on Frege's Conception of Truth , D. Greimann, guest editor, pp. 149-173 (paper)

  • "Frege-Russell Numbers: Analysis or Explication?", in The Analytic Turn: Analysis in Early Analytic Philosophy and Phenomenology, M. Beaney, ed., London: Routledge, 2007, pp. 33-50 (paper)

  • "Carnap and Modern Logic", in The Cambridge Companion to Carnap, M. Friedman & R. Creath, eds., Cambridge: Cambridge University Press, 2007, pp. 176-199 (paper)

  • "Frege's Natural Numbers: Motivations and Modifications", in Gottlob Frege: Critical Assessments of Leading Philosophers, Vol. III, M. Beaney & E. Reck, eds., London: Routledge, 2005, pp. 270-301 (paper)

  • "From Frege and Russell to Carnap: Logic and Logicism in the 1920s", in Carnap Brought Home: The View from Jena, S. Awodey & C. Klein, eds., Chicago: Open Court, 2004, pp. 151-180 (paper)

  • "Frege, Natural Numbers, and Arithmetic's Umbilical Cord", Manuscrito 26:2, 2003, Special Issue: Logic, Truth and Arithmetic: Essays on Gottlob Frege, M. Ruffino, guest editor, pp. 427-470 (paper)

  • "Dedekind's Structuralism: An Interpretation and Partial Defense", Synthese 137:3, 2003, pp. 369-419 (paper)

  • "Completeness and Categoricity, Part II: 20th Century Metalogic to 21st Century Semantics" (with Steve Awodey), History and Philosophy of Logic 23:2, 2002, pp. 77-94 (paper)

  • "Completeness and Categoricity, Part I: 19th Century Axiomatics to 20th Century Metalogic" (with Steve Awodey), History and Philosophy of Logic 23:1, 2002, pp. 1-30 (paper)

  • "Wittgenstein's 'Great Debt' to Frege: Biographical Traces and Philosophical Themes", in From Frege to Wittgenstein, E. Reck, ed., Oxford: Oxford University Press, 2002, pp. 3-38 (paper)

  • "Structures and Structuralism in Contemporary Philosophy of Mathematics" (with Michael Price), Synthese 125:3, 2000, pp. 341-383 (paper)

  • "Freges Platonismus im Kontext", in Gottlob Frege: Werk und Wirkung, G. Gabriel & U. Dathe, eds., Paderborn: mentis Verlag, 2000, pp. 71-89; English translation, entitled "Frege on Numbers: Beyond the Platonist Picture", The Harvard Review of Philosophy 13:2, 2005, pp. 25-40 (paper)

  • "Frege's Influence on Wittgenstein: Reversing Metaphysics via the Context Principle", in Early Analytic Philosophy: Frege, Russell, Wittgenstein, W.W. Tait, ed., Chicago: Open Court, 1997, pp. 123-185; reprinted, in abbreviated form, in Gottlob Frege: Critical Assessments of Leading Philosophers, Vol. I, M. Beaney & E. Reck, eds., London: Routledge, 2005, pp. 241-289 (paper)

Other Items:

  • Translations and an introductory note for Paul Bernays: Essays in the Philosophy of Mathematics, 2 Vols., W. Sieg & W.W. Tait, eds., Chicago: Open Court, 5 ms. pp. (forthcoming)

  • "The Pre-History of Mathematical Structuralism: Introduction and Overview" (with Georg Schiemer), in The Pre-History of Mathematical Structuralism, E. Reck & G. Schiemer, eds., Oxford: Oxford University Press, 26 ms. pp. (forthcoming in 2020)

  • "W.W. Tait's Career and Contributions", Introduction to Logic, Philosophy of Mathematics and their History: Essays in Honor of W.W. Tait, E. Reck, ed., London: College Publications, 2018, pp. 1-10

  • "Introduction to Special Issue: Dedekind and the Philosophy of Mathematics", E. Reck, Philosophica Mathematica 25:3, 2017, 1-5

  • "Introduction to Special Issue: Reconsidering Frege's Conception of Number", E. Reck & R. Cook, Philosophica Mathematica 24:1, 2016, 1-9

  • Review of Gottlob Frege. Basic Laws of Arithmetic, P. Ebert & M. Rossberg, eds. and trs., Oxford University Press, 2013, Notre Dame Philosophical Reviews; online Aug. 30, 2015

  • "Analytic Philosophy and Philosophical History", Introduction to The Historical Turn in Analytic Philosophy, E. Reck, ed., Palgrave Macmillan, London, 2013, pp. 1-36

  • Review (with Sally Ness) of Philosophical Anthropology: Wittgenstein's Perspective, J.P. Gálvez, ed., Ontos Verlag, 2010, Notre Dame Philosophical Reviews; online Aug. 22, 2011

  • "Frege's Philosophy of Thought and Language" (with Michael Beaney), Introduction to Vol. IV of Gottlob Frege: Critical Assessments of Leading Philosophers, London: Routledge, 2005, pp. 1-10

  • "Frege's Philosophy of Mathematics" (with Michael Beaney), Introduction to Vol. III of Gottlob Frege: Critical Assessments of Leading Philosophers, London: Routledge, 2005, pp. 1-12

  • "Frege's Philosophy of Logic" (with Michael Beaney), Introduction to Vol. II of Gottlob Frege: Critical Assessments of Leading Philosophers, London: Routledge, 2005, pp. 1-10

  • "Frege's Philosophy in Context" (with Michael Beaney), Introduction to Vol. I of Gottlob Frege: Critical Assessments of Leading Philosophers, London: Routledge, 2005, pp. 5-19

  • "The Logic in Frege's 1910-1914 Lectures", abstract of symposium talk, Bulletin of Symbolic Logic 10, September 2004, p. 440

  • "Frege's Lectures on Logic and their Influence" (with Steve Awodey), Introduction to Frege's Lectures on Logic, E. Reck & S. Awodey, eds., Chicago: Open Court, 2004, pp. 17-42

  • "Carnap, Logicism, and Metamathematics", abstract of symposium talk, Bulletin of Symbolic Logic 9, March 2003, pp. 61-62

  • "Education, Knowledge, and the World of Objective Ideas: Some Philosophical Remarks", in Liberal Education in a Knowledge Society, Barry Smith, ed., Chicago: Open Court, 2002, pp. 139-173

  • "Categoricity and Completeness: from Dedekind to Carnap and beyond", abstract of symposium talk, Bulletin of Symbolic Logic 7, September 2001, p. 415

  • "'Clarifying the Nature of the Infinite': The Development of Metamathematics and Proof Theory" (with Jeremy Avigad), CMU Technical Report CMU-PHI-120, 2001, pp. 1-53

 

 


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