Home
Teaching
Research
Initiatives
Publications
Some Links
Philos.
Dept.


Publications
Edited
Books:

The PreHistory of Mathematical Structuralism, E. Reck & G. Schiemer, eds., Oxford University Press, forthcoming, 550 ms. pp.

Logic, Philosophy of Mathematics, and their History: Essays in Honor of W.W. Tait, E. Reck, ed., London: College Publications, 2018 (front matter, table of contents)

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, 19101914, E. Reck & S. Awodey, eds. and trans., G. Gabriel, introduction, Chicago: Open Court, 2004 (preface)
Special Issues of Journals:

Dedekind and the Philosophy of Mathematics, E. Reck, guest ed., Philosophia Mathematica, Series III, 25:3, 2017 (table of contents, editor's introduction)

Frege's Original Conception of Number, E. Reck & R. Cook, guest eds., Philosophia Mathematica, Series III, 24:1, 2016 (table of contents, editors' introduction)
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, 16 ms. pp.

"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, forthcoming, 34 ms. pp.

"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, forthcoming, 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, 32 ms. pp.

"Structuralism in the Philosophy of Mathematics" (with Georg Schiemer), Stanford Encyclopedia of Philosophy, E. Zalta, main editor, forthcoming, 39 ms. pp.

"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, forthcoming, 25 ms. pp. (draft)

"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. 171188 (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. 113138 (paper)

"Dedekind as a Philosopher of Mathematics", in In Memoriam Richard Dedekind (18311916): Number Theory, Algebra, Set Theory, History, Philosophy, K. Scheel, T. Sonar & P. Ullrich, eds., Muenster: WTMVerlag, 2017, pp. 3649 (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. 3365 (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. 195215 (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. 433472 (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. 546571 (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. 24265 (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. 139170 (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. 311324 (paper)

"Carnapian Explication: A Case Study and Critique", in Carnap's Ideal of Explication and Naturalism, P. Wagner, ed., London: Palgrave Mamillan, 2012, pp. 96116 (paper)

"Dedekind, Structural Reasoning, and Mathematical Understanding", in New Perspectives on Mathematical Practices, B. van Kerkhove, ed., Singapore: WSPC Press, 2009, pp. 150173 (paper)

"Dedekind's Contributions to the Foundations of Mathematics", Stanford Encyclopedia of Philosophy, E. Zalta, main editor, available online since April 22, 2008, pp. 132; revised and updated in 2011, revised and updated again in 2016 (link)

"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. 149173 (paper)

"FregeRussell Numbers: Analysis or Explication?", in The Analytic Turn: Analysis in Early Analytic Philosophy and Phenomenology, M. Beaney, ed., London: Routledge, 2007, pp. 3350 (paper)

"Carnap and Modern Logic", in The Cambridge Companion to Carnap, M. Friedman & R. Creath, eds., Cambridge: Cambridge University Press, 2007, pp. 176199 (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. 270301 (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. 151180 (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. 427470 (paper)

"Dedekind's
Structuralism: An Interpretation and Partial
Defense", Synthese 137:3, 2003,
pp. 369419 (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. 7794 (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. 130 (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. 338 (paper)

"Structures
and Structuralism in Contemporary Philosophy
of Mathematics" (with Michael Price), Synthese 125:3, 2000, pp. 341383 (paper)

"Freges
Platonismus im Kontext", in Gottlob
Frege: Werk und Wirkung, G. Gabriel &
U. Dathe, eds., Paderborn: mentis Verlag,
2000, pp. 7189; English translation, entitled "Frege on Numbers: Beyond the Platonist Picture", The Harvard Review of Philosophy 13:2, 2005, pp. 2540 (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. 123185; reprinted, in abbreviated form, in Gottlob Frege: Critical Assessments of Leading Philosophers, Vol. I, M. Beaney & E. Reck, eds., London: Routledge, 2005, pp. 241289 (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, forthcoming, 5 ms. pp.

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

"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, pp. 110

"Introduction to Special Issue: Dedekind and the Philosophy of Mathematics", E. Reck, Philosophica Mathematica 25:3, 2017, 15

"Introduction to Special Issue: Reconsidering Frege's Conception of Number", E. Reck & R. Cook, Philosophica Mathematica 24:1, 2016, 19

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. 136

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. 110

"Frege's Philosophy of Mathematics" (with Michael Beaney), Introduction to Vol. III of Gottlob Frege: Critical Assessments of Leading Philosophers, London: Routledge, 2005, pp. 112

"Frege's Philosophy of Logic" (with Michael Beaney), Introduction to Vol. II of Gottlob Frege: Critical Assessments of Leading Philosophers, London: Routledge, 2005, pp. 110

"Frege's Philosophy in Context" (with Michael Beaney), Introduction to Vol. I of Gottlob Frege: Critical Assessments of Leading Philosophers, London: Routledge, 2005, pp. 519

"The Logic in Frege's 19101914 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. 1742

"Carnap,
Logicism, and Metamathematics", abstract
of symposium talk, Bulletin of Symbolic
Logic 9, March 2003, pp. 6162

"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.
139173

"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 CMUPHI120, 2001,
pp. 153

