Frege’s Conceptions of Elucidation
Abstract
I argue that discussions of Frege’s conception of elucidation have suffered from a conflation of two distinct issues: elucidation of primitive scientific terms, and elucidation of the logical categories. The former seeks to bring us to grasp the Bedeutung of terms that stand at the beginning of the chain of definitions of a scientific system. The latter cannot be understood on the model of securing agreement in Bedeutung at all. I show how existing discussions of Fregean elucidation insufficiently take this difference into account. I adumbrate what I take to be a more accurate understanding of Fregean elucidation of the logical categories, starting from the observation that Frege, when engaged in such elucidation, consistently reverts to talking about signs. Frege, I argue, takes signs to possess logical features, and it is these logical features which his elucidations are meant to help us to grasp. For Frege, the nature of the logical categories lies in the signs. I argue that this reveals that Frege’s approach to elucidating the logical categories is incompatible with a realist framework according to which there is a logical order of reality that is prior to the logical order of language.
References
Beaney, Michael. 1996. Frege: Making Sense. London: Duckworth.
Black, Max. 1968. “Frege on Functions.” In Essays on Frege, edited by E. D. Klemke, 223–48. Chicago: University of Illinois Press.
Conant, James. 2002. “The Method of the Tractatus.” In From Frege to Wittgenstein, edited by Erich H. Reck, 374–462. Oxford: Oxford University Press.
———. 2020. “Replies.” In The Logical Alien, edited by Sofia Miguens, 321–1028. Cambridge, MA: Harvard University Press.
Diamond, Cora. 1984. “What Does a Concept Script Do?” Philosophical Quarterly 34: 343–68. https://doi.org/10.2307/2218765.
Dummett, Michael. 1981. Frege: Philosophy of Language. 2nd ed. London: Duckworth.
Frege, Gottlob. 1979. Posthumous Writings. Edited by Hans Hermes, Friedrich Kambartel, and Friedrich Kaulbach. Translated by Peter Long and Roger White. Oxford: Basil Blackwell.
———. 1980. Philosophical and Mathematical Correspondence. Edited by Gottfried Gabriel, Hans Hermes, Friedrich Kambartel, Christian Thiel, Albert Veraart, and Brian McGuinness. Translated by Hans Kaal. Chicago: The University of Chicago Press.
———. 1984. Collected Papers on Mathematics, Logic, and Philosophy. Edited by Brian McGuinness. Translated by Max Black, V. H. Dudman, Peter Geach, Hans Kaal, E.H.W. Kluge, B. F. McGuinness, and R. H. Stoothoff. New York: Basil Blackwell.
———. (1893–1903) 2013. Basic Laws of Arithmetic. Edited and translated by Philip A. Ebert, Marcus Rossberg, and Crispin Wright. Oxford: Oxford University Press.
Geach, Peter. 1976. “Saying and Showing in Frege and Wittgenstein.” In Essays in Honor of G. H. Von Wright, edited by Jaakko Hintikka, 54–70. Amsterdam: North-Holland Publishing Company.
Hale, Bob, and Crispin Wright. 2012. “Horse Sense.” The Journal of Philosophy 109: 85–131.
Heck, Richard. 2010. “Frege and Semantics.” In The Cambridge Companion to Frege, edited by Michael Potter and Thomas Ricketts, 342–78. Cambridge: Cambridge University Press.
Hugly, Philip. 1973. “Ineffability in Frege’s Logic.” Philosophical Studies 24: 227–44. https://doi.org/10.1007/bf00356488.
Johnston, Colin. 2007. “Symbols in Wittgenstein’s Tractatus” 15: 367–94. https://doi.org/10.1111/j.1468-0378.2007.00253.x.
Jolley, Kelly Dean. 2015. “Once Moore Unto the Breach! Frege and the Concept ‘Horse’ Paradox.” Philosophical Topics 43: 113–24.
Jones, Nicholas K. 2016. “A Higher-Order Solution to the Problem of the Concept Horse.” Ergo: An Open Access Journal of Philosophy 3: 132–66. https://doi.org/10.3998/ergo.12405314.0003.006.
Klement, Kevin C. 2004. “Putting Form Before Function: Logical Grammar in Frege, Russell, and Wittgenstein.” Philosophers’ Imprint 4: 1–47.
Long, Peter. 2001. Logic, Form, and Grammar. New York: Routledge.
Moore, A. W. 2012. The Evolution of Modern Metaphysics: Making Sense of Things. Cambridge: Cambridge University Press.
Narboux, Jean-Philippe. 2014. “Showing, the Medium Voice, and the Unity of the Tractatus.” Philosophical Topics 42: 201–62. https://doi.org/10.5840/philtopics201442224.
Noonan, Harold. 2006. “The Concept Horse.” In Universals, Concepts and Qualities: New Essays on the Meaning of Predicates, edited by P. F. Strawson and Arindarm Chakrabarti, 155–76. Burlington, VT: Ashgate.
Proops, Ian. 2013. “What Is Frege’s ‘Concept Horse Problem’?” In Wittgenstein’s Tractatus, edited by Peter Sullivan and Michael Potter, 76–96. Oxford: Oxford University Press.
Ricketts, Thomas. 2010. “Concepts, Objects and the Context Principle.” In The Cambridge Companion to Frege, edited by Michael Potter and Thomas Ricketts, 149–219. Cambridge: Cambridge University Press.
Russell, Bertrand. (1903) 2010. Principles of Mathematics. London and New York: Routledge.
Sullivan, Peter. 2003. “Ineffability and Nonsense.” Proceedings of the Aristotelian Society, Supplementary Volumes 77: 195–223. https://doi.org/10.1111/1467-8349.00109.
———. 2006. “Metaperspectives and Internalism in Frege.” In Gottlob Frege: Critical Assessments of Leading Philosophers, edited by Michael Beaney and E. H. Reck, 85–105. London: Routledge.
Travis, Charles. 2020. “Where Words Fail.” In The Logical Alien, edited by Sofia Miguens, 222–80. Cambridge, MA: Harvard University Press.
Vanrie, Wim. 2021. “Why Did Frege Reject the Theory of Types?” British Journal for the History of Philosophy 29: 517–36. https://doi.org/10.1080/09608788.2020.1807908.
———. n.d. “Frege’s Conception of the Absoluteness of the Logical Category Distinctions.” In Early Analytic Philosophy: Origins and Transformations, edited by Gilad Nir and James Conant. London: Routledge.
Weiner, Joan. 2006. “On Fregean Elucidation.” In Gottlob Frege: Critical Assessments of Leading Philosophers, edited by Michael Beaney and E. H. Reck, 197–214. London: Routledge.
———. 2010. “Understanding Frege’s Project.” In The Cambridge Companion to Frege, edited by Michael Potter and Thomas Ricketts, 32–62. Cambridge: Cambridge University Press.
———. 2020. Taking Frege at His Word. Oxford: Oxford University Press.
Wells, Rulon S. 1968. “Is Frege’s Concept of a Function Valid?” In Essays on Frege, edited by E. D. Klemke, 391–406. Chicago: University of Illinois Press.
Witherspoon, Edward. 2002. “Logic and the Inexpressible in Frege and Heidegger.” Journal of the History of Philosophy 40: 89–113. https://doi.org/10.1353/hph.2002.0021.
Wittgenstein, Ludwig. (1922) 1981. Tractatus Logico-Philosophicus. Translated by C. K. Ogden. London: Routledge.
Wright, Crispin. 1998. “Why Frege Did Not Deserve His Granum Salis.” Grazer Philosophische Studien 55: 239–63. https://doi.org/10.5840/gps19985522.
Downloads
Published
Issue
Section
License
The Public Knowledge Project recommends the use of the Creative Commons license. The Journal for the History of Analytical Philosophy requires authors to agree to a Creative Commons Attribution /Non-commercial license. Authors who publish with the Journal for the History of Analytical Philosophy agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons BY-NC license.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access)
This work is licensed under a Creative Commons Attribution-NonCommercial 3.0 Unported License.