Abstract
In this essay I will consider two theses that are associated with Frege,and will investigate the extent to which Frege “really” believed them.Much of what I have to say will come as no surprise to scholars of thehistorical Frege. But Frege is not only a historical figure; he alsooccupies a site on the philosophical landscape that has allowed hisdoctrines to seep into the subconscious water table. And scholars in a widevariety of different scholarly establishments then sip from thesedoctrines. I believe that some Frege-interested philosophers at various ofthese establishments might find my conclusions surprising.
Some of these philosophical establishments have arisen from an educationalmilieu in which Frege is associated with some specific doctrine at theexpense of not even being aware of other milieux where other specificdoctrines are given sole prominence. The two theses which I will discussillustrate this point. Each of them is called “Frege's Principle,” but byphilosophers from different milieux. By calling them “milieux” I do not want to convey the idea that they are each located at some specificsocio-politico-geographico-temporal location. Rather, it is a matter oftheir each being located at different places on the intellectuallandscape. For this reason one might (and I sometimes will) call them“(interpretative) traditions.”
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References
Angelelli, I., 1967, Gottlob Frege and Traditional Philosophy, Dordrecht: Reidel.
Angelelli, I., 1982, “Frege's Notion of 'Bedeutung',” pp. 735–753 in Logic, Methodology and Philosophy of Science VI, J. Cohen et al., eds., Amsterdam: North-Holland.
Baker, G. and Hacker, P., 1980, Wittgenstein: Understanding and Meaning, Oxford: Blackwell.
Baker, G. and Hacker, P., 1984a, Frege: Logical Excavations, Oxford: Blackwell.
Baker, G. and Hacker, P., 1984b, Language, Sense & Nonsense, Oxford: Blackwell.
Beaney, M., 1996, Frege: Making Sense, London: Duckworth.
Bell, D., 1981, “The place of the Grundlagen in Frege's development,” Philosophical Quarterly 31, 209–224.
Burge, T., 1986, “Frege on truth,” pp. 97–154 in Frege Synthesized, L. Haaparanta and J. Hintikka, J., eds., Dordrecht: Kluwer Academic Publishers.
Carl, W., 1994, Frege's Theory of Sense and Reference, Cambridge: Cambridge University Press.
Carnap, R., 1947, Meaning and Necessity, Chicago, IL: University of Chicago Press.
Chierchia, G. and McConnell-Ginet, S., 1990, Meaning and Grammar, Cambridge, MA: MIT Press.
Church, A., 1956, Introduction to Mathematical Logic I, Princeton, NJ: Princeton University Press.
Cresswell, M., 1973, Logics and Languages, London: Methuen.
Currie, G., 1982, Frege: An Introduction to his Philosophy, Totowa, NJ: Barnes & Noble.
Davidson, D., 1965, “Theories of meaning and learnable languages,” pp. 383–394 in Logic, Methodology and Philosophy of Science, Y. Bar-Hillel, ed., Amsterdam: North Holland.
Davidson, D., 1967, “Truth and meaning,” Synthese 17, 304–323.
Dudman, V., 1976, “Bedeutung for predicates,” pp. 71–84 in Studien zu Frege III: Logik und Semantik, M. Schirn, ed., Stuttgart: Frommann-Holzboog.
Dummett, M., 1981a, Frege: Philosophy of Language, 2nd edition, Cambridge, MA: Harvard University Press.
Dummett, M., 1981b, The Interpretation of Frege's Philosophy, London: Duckworth.
Fodor, J. and LePore, E., 1992, Holism: A Shopper's Guide, Oxford: Blackwell.
Frege, G., 1884, Grundlagen der Arithmetik, translated as The Foundations of Arithmetic by J. Austin, Oxford: Blackwell, 1950 (page references to this translation).
Frege, G., 1891a, “Funktion und Begriff” (an address to the Jenaische Gesellschaft für Medizin und Naturwissenschaft), published at Jena, translated as “Function and Concept,” pp. 21–41 in Translations from the Philosophical Writings of Gottlob Frege, P. Geach, and M. Black, eds., Oxford: Blackwell, 1952 (page references to this translation).
Frege, G., 1891b, “On the law of inertia,” Zeitschrift für Philosophie und philosophische Kritik 98, translated and reprinted as pp. 123–136 in Frege: Collected Papers on Mathematics, Logic, and Philosophy, B. McGuinness, ed., Oxford: Blackwell 1984.
Frege, G., 1892a, “Ñber Sinn und Bedeutung,” Zeitschrift für Philosophie und philosophische Kritik 100, 25–50, translated as “On sense and reference,” pp. 56–78 in Translations from the Philosophical Writings of Gottlob Frege, P. Geach and M. Black, eds., Oxford: Blackwell, 1952 (page references to this translation).
Frege, G., 1892b, “Ñber Begriff und Gegenstand,” Vierteljahrsschrift für wissenschaftliche Philosophie 16, 192–205, translated as “On concept and object,” pp. 42–55 in Translations from the Philosophical Writings of Gottlob Frege, P. Geach and M. Black, eds., Oxford: Blackwell, 1952 (page references to this translation).
Frege, G., 1893, Grundgesetze der Arithmetik, begriffsschriftlich abgeleitet (Band I), Verlag Hermann Pohle, Jena. Portions edited and translated by M. Furth as The Basic Laws of Arithmetic, Exposition of the System, Berkeley, CA: University of California Press, 1964. (Page references to this translation.)
Frege, G., 1914a, “Logic in mathematics,” pp. 203–252 in Gottlob Frege: Posthumous Writings, H. Hermes et al., eds. (translated by P. Long & R.White), Chicago, IL: University of Chicago Press.
Frege, G., 1914b, “Correspondence with Philip Jourdain,” pp. 72–84 in Gottlob: The Philosophical and Mathematical Correspondence, B. McGuinness and K. Kaal, eds., Chicago, IL: University of Chicago Press.
Frege, G., 1919, “Notes for Ludwig Darmstaedter,” pp. 253–257 in Gottlob Frege: Posthumous Writings, H. Hermes et al., eds. (translated by P. Long & R. White), Chicago, IL: University Chicago Press.
Frege, G., 1923, “Compound thoughts,” trans. R. Stoothoff in Mind 72, 1963, 1–17.
Gazdar, G., Klein, E., Pullum, G., and Sag, I., 1985, Generalized Phrase Structure Grammar, Oxford: Blackwell.
Haaparanta, L., 1985a, “Frege's doctrine of being,” Acta Philosophica Fennica 39, 1–182.
Haaparanta, L., 1985b, “Frege's context principle,” Communication and Cognition 18, 81–94.
Hale, B., 1997, “Grundlagen §64,” Proceedings of the Aristotelian Society 97, 243–261.
Haugeland, J., 1979, “Understanding natural language,” Journal of Philosophy 76, 619–632.
Hausser, R., 1984, Surface Compositional Grammar, München: Wilhelm Fink Verlag.
Hintikka, J., 1980, “Theories of truth and learnable languages,” pp. 37–57 in Philosophy and Grammar, S. Kanger and S. Öhman, eds., Dordrecht: Reidel.
Hintikka, J., 1984, “A hundred years later: The rise and fall of Frege's influence in language theory,” Synthese 59, 27–49.
Hintikka, J. and Sandu, G., 1994, “Uses and misuses of Frege's ideas,” The Monist 77, 278–293.
Hugly, P. and Sayward, C., 1995, “What's so special about sentences?,” Communication and Cognition 28, 409–426.
Janssen, T., 1986, “Foundations and applications of Montague Grammar,” unpublished Ph.D. Dissertation, Mathematisch Centrum, University of Amsterdam.
Janssen, T., 1997, “Compositionality,” pp. 417–473 in Handbook of Logic and Language, J. van Benthem and A. ter Meulen, eds., Amsterdam: Elsevier.
Kamp, H. and Partee, B., 1995, “Prototype theory and compositionality,” Cognition 57, 129–191.
Kenny, A., 1995, Frege, London: Penguin.
Kluge, E.-H., 1980, The Metaphysics of Gottlob Frege, The Hague: Martinus Nijhoff.
Lahav, R., 1989, “Against compositionality: The case of adjectives,” Philosophical Studies 57, 261–279.
Montague, R., 1970a, “English as a formal language,” reprinted as pp. 188–221 in Formal Philosophy: Selected Papers of Richard Montague, R. Thomason, ed., New Haven, CT: Yale University Press.
Montague, R., 1970b, “Pragmatics and intensional logic,” reprinted as pp. 119–147 in Formal Philosophy: Selected Papers of Richard Montague, R. Thomason, ed., New Haven, CT: Yale University Press.
Partee, B., 1975, “Comments on C. J. Fillmore's and N. Chomsky's papers,” pp. 197–209 in The Scope of American Linguistics, R. Austerlitz, ed., Lisse: Peter de Ridder Press.
Partee, B., 1984, “Compositionality,” pp. 281–311 in Varieties of Formal Semantics, F. Landman and F. Veltman, eds., Dordrecht: Foris.
Partee, B., 1995, “Lexical semantics and compositionality,” pp. 311–360 in An Invitation to Cognitive Science, Volume 1, D. Osherson, ed., Cambridge, MA: MIT Press.
Partee, B., ter Meulen, A., and Wall, R., 1990, Mathematical Methods in Linguistics, Dordrecht: Kluwer Academic Publishers.
Pelletier, F. J., 1994, “The principle of semantic compositionality,” Topoi 13, 11–24.
Peregrin, J., 1994, “Interpreting formal logic,” Erkenntnis 40, 5–20.
Popper, K., 1976, Unended Quest: An Intellectual Autobiography, London: Fontana.
Quine, W., 1951, “Two dogmas of empiricism,” Philosophical Review 60, 20–43. (Page references to the reprinted version: pp. 20–46 in From a Logical Point of View, W. Quine, ed., Cambridge, MA: Harvard University Press, 1964.)
Quine,W., 1969, “Epistemology naturalized,” pp. 69–90 in Ontological Relativity and Other Essays, W. Quine, ed., New York: Columbia University Press.
Resnik, M., 1967, “The context principle in Frege's philosophy,” Philosophy and Phenomenological Research 27, 356–365.
Resnik, M., 1976, “Frege's context principle revisited,” pp. 35–49 in Studien zu Frege III: Logik und Semantik, M. Schirn, ed., Stuttgart: Frommann-Holzboog.
Resnik, M., 1981, “Frege and analytic philosophy: Facts and speculations,” Midwest Studies in Philosophy 6, 83–104.
Salmon, N., 1994, “Sense and reference: Introduction,” pp. 99–129 in Basic Topics in the Philosophy of Language, M. Harnish, ed., Englewood Cliffs, NJ: Prentice-Hall.
Schiffer, S., 1987, Remnants of Meaning, Cambridge, MA: MIT Press.
Shwayder, D., 1976, “On the determination of reference by sense,” pp. 85–95 in Studien zu Frege III: Logik und Semantik, M. Schirn, ed., Stuttgart: Frommann-Holzboog.
Skorupski, J., 1984, “Dummett's Frege,” pp. 227–243 in Frege: Tradition & Influence, C. Wright, ed., Oxford: Blackwell.
Sluga, H., 1977, “Frege's alleged realism,” Inquiry 20, 227–242.
Sluga, H., 1980, Gottlob Frege, London: Routledge & Kegan Paul.
Sluga, H., 1987, “Frege against the Booleans,” Notre Dame Journal of Formal Logic 28, 80–98.
Sluga, H., 1993, “Volume introduction,” pp. xi-xiii in The Philosophy of Frege: Vol. 3, Meaning and Ontology in Frege's Philosophy, H. Sluga, ed., New York: Garland Publishers.
Thomason, R., ed., 1974a, Formal Philosophy: Selected Papers of Richard Montague, New Haven, CT: Yale University Press.
Thomason, R., 1974b, “Introduction,” pp. 1–69 in Formal Philosophy: Selected Papers of Richard Montague, R. Thomason, ed., New Haven, CT: Yale University Press.
Tichy, P., 1988, The Foundations of Frege's Logic, Berlin: de Gruyter.
Tugendhat, E., 1970, “The meaning of 'Bedeutung' in Frege,” Analysis 30, 177–189.
Wright, C., 1983, Frege's Conception of Numbers as Objects, Scots Philosophical Monographs, Aberdeen: Aberdeen University Press.
Zadeh, L., 1983, “A fuzzy-set-theoretic approach to the compositionality of meaning: Propositions, dispositions and canonical forms,” Journal of Semantics 2, 253–272.
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Pelletier, F.J. Did Frege Believe Frege's Principle?. Journal of Logic, Language and Information 10, 87–114 (2001). https://doi.org/10.1023/A:1026594023292
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DOI: https://doi.org/10.1023/A:1026594023292