Wittgenstein and Frege on Negation and Denial

Authors

  • Colin Johnston

DOI:

https://doi.org/10.15173/jhap.v12i3.5476

Abstract

Frege maintains that there are not two distinct acts, assertion and denial; rather, denying p is one and the same as asserting not-p. Wittgenstein appears not to recognise this identity in Frege, attributing to him the contrary view that a proposition may have one of two verbs, "is true" or "is false". This paper explains Wittgenstein’s attribution as a consequence of Frege’s treatment of content as theoretically prior to the act of judgment. Where content is prior to judgment, the denial of p—what is rejected in asserting p—is distinct from the assertion of not-p. Wittgenstein’s own embrace of Frege’s identity is then considered, an embrace explained in part by his repudiation of Frege’s theoretical order.

References

Dummett, Michael. 1959. “Truth.” Proceedings of the Aristotelian Society 59 (1): 141–62.

Frege, Gottlob. 1972. Conceptual Notation and Related Articles (BS). Edited by T. W. Bynum. Oxford: Clarendon Press.

———. 1984. Collected Papers on Mathematics, Logic, and Philosophy (CP). Edited by Brian McGuinness. Translated by Max Black and V. H. Dudman. Oxford: Blackwell.

———. 1991. Posthumous Writings (PW). Edited by Hans Hermes, Friedrich Kambartel, and Friedrich Kaulback. Translated by Peter Long and Roger White. Oxford: Wiley.

———. 2013. Basic Laws of Arithmetic (GG). Edited by Philip Ebert and Marcus Rossberg. Oxford: Oxford University Press.

Johnston, Colin. 2021. “Frege, the Self-Consciousness of Judgement, and the Indefinability of Truth.” British Journal for the History of Philosophy 29 (6): 1124–43.

Kimhi, Irad. 2018. Thinking and Being. Cambridge, MA: Harvard University Press.

Proops, Ian. 1997. “The Early Wittgenstein on Logical Assertion.” Philosophical Topics 25 (2): 121–44.

Rödl, Sebastian. 2007. Self-Consciousness. Cambridge, MA: Harvard University Press.

———. 2017. “Self-Consciousness, Negation, and Disagreement.” Proceedings of the Aristotelian Society 117 (3): 215–30.

Russell, Bertrand. 1992. The Principles of Mathematics. London: Routledge.

Sullivan, Peter. 2004. “Frege’s Logic.” In Handbook of the History and Philosophy of Logic Vol. 3, edited by D. Gabbay and J. Woods, 659–750. Amsterdam: North Holland.

Wittgenstein, Ludwig. 1922. Tractatus Logico-Philosophicus (TLP). Translated by C. K. Ogden. London: Routledge and Kegan Paul.

———. 1979. Notebooks 1914–1916 (NB). Oxford: Blackwell.

Published

2024-04-08