Making Things with Words: Wittgenstein on Inference and Representation
Abstract
Some interpreters argue that for Wittgenstein, logic is not concerned with proof and inference, but with truth and entailment, and that Wittgenstein regards inference as a theme of psychology. That construal is often supported by Tractatus 5.132, where Wittgenstein states that only the propositions which serve as the premise and the conclusion can justify the inference, hence that no mediation by an inferential act and laws of inference is needed. Wittgenstein considers the idea of mediation to be Frege’s view, and he also rejects Frege’s distinction between thought and assertion. Other scholars, for their part, argue for the interpretation that Wittgenstein’s own view is not far from what Frege held. Still others claim that for Wittgenstein, inference and representation are equally basic notions. The present paper first discusses interpretations of Wittgenstein’s view on inference, proposed by Martin Gustafsson, Colin Johnston, Gilad Nir, Göran Sundholm, and Kurt Wischin. It then compares the views presented in the Tractatus with Frege’s semantic views, including Frege’s pragmatic ideas in his later writings, as well as with J.L. Austin’s speech act theory. It argues that contrary to what Tractatus explicitly tells us, Wittgenstein is close to Frege in his conception of inference and representation. Moreover, the paper pays special attention to features in the Tractatus that resemble Austin’s idea of doing things with words.
References
Appelqvist, Hanne (ed.) (2020). Wittgenstein and the Limits of Language. New York: Routledge. DOI: 10.4324/9781351202671.
Austin, John L. (1961). Philosophical Papers, edited by J. O. Urmson and G. J. Warnock. London: Oxford University Press.
Austin, John L. (1962). How to Do Things with Words. The William James Lectures delivered at Harvard University in 1955, edited by J.O. Urmson. Cambridge, Mass.: Harvard.
Brandom, Robert B. (1994). Making It Explicit. Reasoning, Representing & Discursive Commitment. Cambridge, Mass.: Harvard.
Frege, Gottlob (1879). Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens (BS). Halle a.S.: Verlag von L. Nebert; reprinted in G. Frege, Begriffsschrift und andere Aufsätze, herausgegeben von I. Angelelli, 1964. Hildesheim: Georg Olms, pp. 1 - 88.
Frege, Gottlob [1892a].“Über Sinn und Bedeutung”. In KS, pp. 143–162.
Frege, Gottlob [1892b]. “Über Begriff und Gegenstand”. In KS, pp. 167–178.
Frege, Gottlob (1893). Grundgesetze der Arithmetik, begriffsschriftlich abgeleitet, I. Band (GGA I). Jena: Verlag von H. Pohle; “Grundgesetze der Arithmetik, Volume I (1893): Selections”, translated by M. Beaney. In The Frege Reader, edited by M. Beaney, Oxford: Blackwell, 1997, pp. 194–223.
Frege, Gottlob [1918a]. “Der Gedanke: eine logische Untersuchung”. In KS, pp. 342–362.
Frege, Gottlob [1918b]. “Die Verneinung”. In KS, pp. 362–378.
Frege, Gottlob (1967). Kleine Schriften (KS), herausgegeben von I. Angelelli. Hildesheim: Georg Olms.
Frege, Gottlob (1969). Nachgelassene Schriften (NS), herausgegeben von H. Hermes, F. Kambartel, und F. Kaulbach. Hamburg: Felix Meiner.
Goldfarb, Warren D. (2010). “Frege’s Conception of Logic”. In The Cambridge Companion to Frege, edited by M. Potter and Th. Ricketts. Cambridge: Cambridge University Press, pp. 63–85. DOI: 10.1017/ccol9780521624282.003.
Gustafsson, Martin (2014). “Wittgenstein and ‘Tonk’: Inference and Representation in the Tractatus (and Beyond)”. Philosophical Topics 42: pp. 75–99. DOI: 10.5840/philtopics201442220.
Haaparanta, Leila (2018). “Inferentialism and the Reception of Testimony”. In From Rules to Meanings: New Essays on Inferentialism, edited by O. Beran, V. Kolman, and L. Koreň. Routledge, New York and London, pp. 334–346. DOI: 10.4324/9781315103587-19.
Haaparanta, Leila (2023). “Frege, Peirce, and the Ethics of Asserting”, to appear.
Husserl, Edmund [1913] (1976). Ideen zu einer reinen Phänomenologie und phänomenologischen Philosophie I, Husserliana III/1, (Hua III/1), herausgegeben von K. Schuhmann. Den Haag: Martinus Nijhoff.
Johnston, Colin (2011). “Assertion, Saying, and Propositional Complexity in Wittgenstein’s Tractatus”. In The Oxford Handbook of Wittgenstein, edited by O. Kuusela and M. McGinn. Oxford: Oxford University Press, pp. 60–78. DOI: 10.1093/oxfordhb/9780199287505.003.0004.
Kannisto, Heikki (1986). Thoughts and Their Subject: A Study of Wittgenstein’s Tractatus. Acta Philosophica Fennica Vol 40. Helsinki: The Philosophical Society of Finland.
Kant, Immanuel (1904). Kritik der reinen Vernunft (1781, 1787) (KRV, A/B). In Kant’s gesammelte Schriften, Band IV. Berlin: G. Reimer, translated by N. Kemp Smith, London and Basingstoke: The Macmillan Press, 1929.
Nir, Gilad (2021). “Are Rules of Inference Superfluous? Wittgenstein vs. Frege and Russell”. Teorema XL: pp. 45–61.
Philström, Sami (2004). Solipsism: History, Critique, and Relevance. Acta Philosophica Tamperensia 3. Tampere: Tampere University Press.
Proops, Ian (2002). “The Tractatus on Inference and Entailment”. In From Frege to Wittgenstein. Perspectives on Early Analytic Philosophy, edited by E. Reck. New York: Oxford University Press, pp. 283–307. DOI: 10.1093/0195133269.003.0012
Ricketts, Thomas. G. (1986). “Objectivity and Objecthood: Frege’s Metaphysics of Judgment”. In Frege Synthesized: Essays on the Philosophical and Foundational Work of Gottlob Frege, edited by L. Haaparanta and J. Hintikka. Dordrecht: Reidel, pp. 65–95. DOI: 10.1007/978-94-009-4552-4_5.
Schaar, M. van der (2018). “Frege on Judgement and the Judging Agent”. Mind 127: pp. 225–249. DOI: 10.1093/mind/fzw059.
Stenius, Erik (1960). Wittgenstein’s Tractatus: A Critical Exposition of Its Main Lines of Thought. Oxford: Basil Blackwell.
Sundholm, Göran (2009). “A Century of Judgment and Inference, 1837–1936: Some Strands in the Development of Logic”. In The Development of Modern Logic, edited by L. Haaparanta. New York: Oxford University Press, pp. 263–317. DOI: 10.1093/acprof:oso/9780195137316.003.0028.
van Heijenoort, Jean (1967). “Logic as Language and Logic as Calculus”. Synthese 17: pp. 324–330.
Wischin, Kurt (2017). “La justificación de las inferencias. Frege y el Tractatus 5.132”. Disputatio. Philosophical Research Bulletin 6: pp. 385–421. DOI: 10.5281/zenodo.1414626.
Wittgenstein, Ludwig (1961). Tractatus Logico-Philosophicus (TLP), translated by D. Pears and B. McGuinness. London: Routledge.
Copyright (c) 2022 Disputatio. Philosophical Research Bulletin
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.