Frege’s Foundations of Arithmetic

Main Text

Gottlob Frege. (1884) Die Grundlagen der Arithmetik, Breslau: W. Koebner. Translated as The Foundations of Arithmetic, by J. L. Austin. 2nd revised edition. Oxford: Blackwell, 1974.

Other Relevant Text by Frege

Gottlob Frege. (1879) Begriffsschrift, Halle a. S.: Louis Nebert. Translated as Concept Script by S. Bauer-Mengelberg in J. van Heijenoort (ed.) (1967) From Frege to Godel: A Source Book in Mathematical Logic, 1879-1931, Cambridge, MA: Harvard University Press.

Gottlob Frege. (1893) Grundgesetze der Arithmetik. Jena: Verlag Hermann Pohle, Band I. Partial translation as The Basic Laws of Arithmetic by M. Furth, Berkeley: University of California Press, 1964.

Elementary Expositions

Michael Beaney, Frege, Making Sense, Duckworth.

Anthony Kenny, Frege, Penguin.

Joan Weiner, Frege in Perspective, Cambridge University Press.

General Articles on Frege and Logicism

Alexander George, Richard Heck, ‘Frege’, Routledge Encyclopedia of Philosophy.

Edward N. Zalta, ‘Frege’s Logic, Theorem, and Foundations for Arithmetic’, Stanford Encyclopedia of Philosophy.

Alberto Coffa, ‘Kant, Bolzano, and the Emergence of Logicism’, Journal of Philosophy 79 (1982): 679-689. (historical background)

Tutorial Topics

  1. Analyticity/Apriority
  2. Criticism of Other Accounts
  3. Statements of Number/Numbers as Objects
  4. The Julius Caesar Objection/Definition of Number
  5. Hume’s Principle/Frege’s Theorem
  6. Revision

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