Hostname: page-component-5c6d5d7d68-vt8vv Total loading time: 0.001 Render date: 2024-08-29T14:15:35.994Z Has data issue: false hasContentIssue false

Gottlob Frege, One More Time

Published online by Cambridge University Press:  25 March 2020

Abstract

Frege's philosophical writings, including the “logistic project,” acquire a new insight by being confronted with Kant's criticism and Wittgenstein's logical and grammatical investigations. Between these two points a non-formalist history of logic is just taking shape, a history emphasizing the Greek and Kantian inheritance and its aftermath. It allows us to understand the radical change in rationality introduced by Gottlob Frege's syntax. This syntax put an end to Greek categorization and opened the way to the multiplicity of expressions producing their own intelligibility. This article is based on more technical analyses of Frege which Claude Imbert has previously offered in other writings (see references).

Type
Research Article
Copyright
Copyright © 2000 by Hypatia, Inc.

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Chrysippus, . 1964. Chrysippi fragmenta logica et physica and Chrysippi fragmenta moralia. Vols. 2 and 3 in Stoicorum veterum fragmenta, 4 vols., ed.Friedrich, HansVon Arnim, August. Stutgard: B. G. Teubneuri.Google Scholar
Church, Alonzo 1956. Introduction to mathematical logic. Princeton: Princeton University Press.Google Scholar
Frege, Gottlob 1950. The foundations of arithmetic. Trans.Austin, John Langshaw. Oxford: Blackwell.Google Scholar
Frege, Gottlob 1962. Grundgesetze Der Arithmetik, Begriffsschriftlich Abgeleitet. Two volumes in one. Hildesheim: G. Olm.Google Scholar
Frege, Gottlob 1964a. The basic laws of arithmetic. Trans.Furth, Montgomery. Berkeley: University of California Press.Google Scholar
Frege, Gottlob 1964b. Begriffsschrift und andere Aufsatze. ed.Angelelli, I.Hildesheim: G. Olms.Google Scholar
Frege, Gottlob 1967a. Begriffsschrift, a formula language, modeled upon that of arithmetic, for pure thought.Google Scholar
Frege, Gottlob 1967b. Kleine Schriften. ed.Angelelli, Ignacio. Darmstadt: Wissenschaftliche Buchgesellshaft.Google Scholar
Frege, Gottlob 1970. Translations from the philosophical writings of Gottlob Frege. Trans.Geach, Peter Thomas and Black, Max. Oxford: Blackwell.Google Scholar
Frege, Gottlob 1972. Conceptual notation and related articles. ed.Bynum, Terrell Ward. Oxford: Clarendon Press.Google Scholar
Frege, Gottlob 1979. Posthumous writings. Trans.Long, Peter and White, Roger. Oxford: Black‐well.Google Scholar
Frege, Gottlob 1980. Philosophical and mathematical correspondence. Trans.Kaal, Hans. Oxford: Blackwell.Google Scholar
Frege, Gottlob 1984. Logical investigations. In Collected Papers, ed.McGuiness, Brian. Oxford: Blackwell.Google Scholar
Gödel, Kurt 1944. Russell's mathematical logic. In The philosophy of Bertrand Russell, ed.Schilpp, Paul A.London: Tudor.Google Scholar
Goldfarb, Warren D. 1979. Logic in the twenties: The nature of the quantifier. The Journal of Symbolic Logic 44(3): 351–67.10.2307/2273128CrossRefGoogle Scholar
Husserl, Edmund 1989. The origin of geometry. In Edmund Husserl's Origin of geometry: An Introduction, by Jacques Derrida, Trans.Leavey, John. P.Lincoln: University of Nebraska Press.Google Scholar
Hylton, Perer 1990. Russell, idealism and the emergence of analytical philosophy. Oxford: Clarendon Press.Google Scholar
Imbert, Claude 1970. Les fondements de l'arithmétique de G. Frege. Trans.Imbert, Claude. Paris: Seuil.Google Scholar
Imbert, Claude 1971. Ecrits logiques et philosophiques de G. Frege. Trans.Imbert, Claude. Paris: Seuil.Google Scholar
Imbert, Claude 1992. Phénoménologies et langues formulaires. Paris: Presses Universitaires de France.10.3917/puf.imber.1992.01CrossRefGoogle Scholar
Imbert, Claude 1995. Preface to The blue and brown books, by Ludwig Wittgenstein (French translation). Paris: Gallimard.Google Scholar
Imbert, Claude 1999. Pour une histoire de la logique. Paris: Presses Universitaires de France.Google Scholar
Kant, Immanuel 1968. The critique of judgement. Trans.Meredith, James Creed. Oxford: Clarendon Press.Google Scholar
Kant, Immanuel 19631968. Opus postumum. Berlin: Akademie Ausgabe.Google Scholar
Merleau‐Ponty, Maurice 1964. Cézanne's doubt. In Sense andnon‐sense, Trans.Dreyfus, Hubert L. and Dreyfus, Patricia Allen. Evanston: Northwestern University Press.Google Scholar
Merleau‐Ponty, Maurice 1985. L'Œil et l'esprit. Paris: Gallimard.Google Scholar
Moore, George Edward 1944. Russell's theory of description. In The philosophy of Bertrand Russell, ed.Schilpp, P. A.London: Tudor.Google Scholar
Neurath, Otto 19321933. Protokollsätze. Erkenntnis 3: 204–14.Google Scholar
Plato, . 1973. The Sophist. In The collected dialogues of Plato, ed.Hamilton, Edith and Cairns, Huntington. Princeton: Princeton University Press.Google Scholar
Poincaré, Henri 1906. La science et l'hypothèse. Paris: Flammarion.Google Scholar
Quine, Willard von Orman 1960. Word and object. Cambridge: Harvard University Press.Google Scholar
Quine, Willard von Orman 1963. Set theory and its logic. Cambridge: Harvard Univeristy Press.Google Scholar
Quine, Willard von Orman 1966. Methods of logic. Cambridge: Harvard University Press.Google Scholar
Russell, Bertrand 1903. Principles of mathematics. New York: Allen and Unwin.Google Scholar
Russell, Bertrand 1910, 1912, 1913. Principia Mathematica. 3 vols. Cambridge: Cambridge University Press.Google Scholar
Russell, Bertrand 1956. Logic and knowledge. New York: Allen and Unwin.Google Scholar
Russell, Bertrand, and Alfred North Whitehead. 19251927. Principia mathematica. Cambridge: Cambridge University Press.Google Scholar
Schilpp, Paul A., ed. 1944. The philosophy of Bertrand Russell. London: Tudor.Google Scholar
Van Heijenoort, Jean, ed. 1967. From Frege to Gödel. Cambridge: Harvard University Press.Google Scholar
Wittgenstein, Ludwig 1953. Philosophical investigations. Oxford: Blackwell.Google Scholar
Wittgenstein, Ludwig 1961. Note books, 1914–1916. ed.Henrick von Wright, George and Elizabeth, GertrudeAnscombe, Margaret. Oxford: Blackwell.Google Scholar
Wittgenstein, Ludwig 1964. Philosophical remarks. Oxford: Blackwell.Google Scholar
Wittgenstein, Ludwig 1967. Zettel. Berkeley: University of California Press.Google Scholar
Wittgenstein, Ludwig 1980. Culture and value (Vermischte Bemerkungen). ed.Von Wright, G. H.Oxford: Blackwell.Google Scholar
Wittgenstein, Ludwig 1985. Quelques remarques sur la forme logique/Some remarks on logical form. Mauvezin: Trans‐Europ‐Repress.Google Scholar
Wittgenstein, Ludwig 1989. Philosophische Grammatik. Frankfurt am Main: Suhrkamp.Google Scholar
Wright, G. H. von. 1982. Wittgenstein. Oxford: Basil Blackwell.Google Scholar
Wussing, Hans 1979. Carl Friedrich Gauss. Leipzig: Teubner.Google Scholar
Zermelo, Ernst 1908. Uber die Grundlagen des Arithmetik. In vol. 2 of Atti del Quatro Congresso Internazional dei Matematici/Proceedings of the Fourth International Congress of Mathematics. Roma: Academia dei Lincei.Google Scholar