Linguistic repairs in the logical gadget (contraption)
DOI:
https://doi.org/10.26512/rfmc.v13i1.58309Keywords:
Real variable. Free variable. Context principle and logical constants.Abstract
Can we speak of the principle of context before its formulation in Ludwig Wittgenstein's work? A fundamental aspect to answer this question concerns the distinction between simple and complex, since the ProtoTractatus and the Tractatus resorted to more restricted formulations. We cannot forget that, in both works, the principle was limited to proper names, the only simple element of language, a fact that is not repeated in Frege. A logical question seems to be constituted in an unclear ontological context. This led us to return to the fundamental thought (Grundgedanke) that had served as an insight for Wittgenstein, in order to clarify how Sheffer's line offered a solution to the form of representation of logical constants. Our path, therefore, will be to investigate what led Russell's disciple to abandon the project of correcting the Principia to the statement that there cannot be, in the propositions of logic, real variables.
References
FREGE, Gottlob. Os fundamentos da aritmética: uma investigação lógico-matemática sobre o conceito de número. Tradução de Luiz Henrique Lopes dos Santos. 2. ed. São Paulo: Livraria da Física, 2021.
FREGE, Gottlob. Lógica e filosofia da linguagem. Organização e tradução de Paulo Alcoforado. São Paulo: Cultrix; Edusp, 1978.
HEGENBERG, Leônidas. Lógica simbólica. São Paulo: Editora Herder, 1966.
KANT, Immanuel. Manual dos cursos de lógica geral. Tradução de Fausto Castilho. Campinas: Editora da Unicamp, 2002.
KREMER, Michael. Contextualism and holism in the early Wittgenstein: from Prototractatus to Tractatus. Philosophical Topics, v. 25, n. 2, p. 87-120, 1997. DOI: 10.5840/philtopics19972521.
MILNE, Peter. Tractatus 5.4611: “Signs for logical operations are punctuation marks”. In: SULLIVAN, Peter; POTTER, Michael (org.). Wittgenstein’s Tractatus: History & Interpretation. Oxford: Oxford University Press, 2013, pp. 97-124.
POTTER, Michael. Wittgenstein’s Notes on Logic. Oxford: Oxford University Press, 2008.
RUFFINO, Marco Antonio. The context principle and Wittgenstein’s criticism of Russell’s theory of types. Synthese, v. 98, n. 3, p. 401-414, mar. 1994. DOI: 10.1007/BF01063927.
RUFFINO, Marco Antonio. O princípio do contexto em Frege e Wittgenstein. 1990. 144 f. Dissertação (Mestrado em Filosofia) — Universidade Estadual de Campinas, Campinas, 1990.
RUSSELL, Bertrand. The Principles of Mathematics. London: Routledge, 2010. (Reimpr. do original de 1903).
RUSSELL, Bertrand. On denoting. Mind, v. 14, n. 56, p. 479-493, 1905. DOI: 10.1093/mind/XIV.4.479.
RUSSELL, Bertrand. Theory of Knowledge: The 1913 Manuscript. London: Routledge, 1992.
SHEFFER, Henry Maurice. A set of five independent postulates for Boolean algebras, with application to logical constants. Transactions of the American Mathematical Society, v. 14, n. 4, p. 481-488, 1913. DOI: 10.1090/S0002-9947-1913-1500959-5.
WHITEHEAD, Alfred North; RUSSELL, Bertrand. Principia Mathematica. 3 v. Cambridge: Cambridge University Press, 1910–1913.
WITTGENSTEIN, Ludwig. Prototractatus: an early version of Tractatus Logico-Philosophicus. Edição de B. F. McGuinness; T. Nyberg; G. H. von Wright; tradução de D. F. Pears e B. F. McGuinness. London: Routledge & Kegan Paul; Ithaca, NY: Cornell University Press, 1971.
WITTGENSTEIN, Ludwig. Tractatus logico-philosophicus. Tradução de Luiz Henrique Lopes dos Santos. 3. ed. São Paulo: Edusp, 2008.
WITTGENSTEIN, Ludwig. Letters to Russell, Keynes and Moore. Edited with an introduction by G. H. von Wright, assisted by B. F. McGuinness. Oxford: Basil Blackwell, 1974.
WITTGENSTEIN, Ludwig. Notebooks 1914-1916. 2. ed. Edited by G. H. von Wright and G. E. M. Anscombe; translated by G. E. M. Anscombe. Oxford: Blackwell, 1979.
WITTGENSTEIN, Ludwig. Notes on Logic (1913). In: WITTGENSTEIN, Ludwig. Notebooks 1914-1916. 2. ed. Oxford: Blackwell, 1979, pp. 93-106.
WITTGENSTEIN, Ludwig. Notes Dictated to G. E. Moore in Norway (1914). In: WITTGENSTEIN, Ludwig. Notebooks 1914-1916. 2. ed. Oxford: Blackwell, 1979, pp. 107-118.
WITTGENSTEIN, Ludwig. Wittgenstein in Cambridge: Letters and Documents 1911-1951. Edição de Brian McGuinness. Oxford: Blackwell, 2008.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Journal of Modern and Contemporary Philosophy
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Copyright for articles published in this journal is retained by the authors, with first publication rights granted to the journal. By virtue of their appearance in this open access journal, articles are free to use, with proper attribution, in educational and other non-commercial settings.
