What 3.3 tells us about 3.333?
DOI:
https://doi.org/10.15448/1983-4012.2019.1.29903Keywords:
Context Principle, Russell’s Paradox, Theory of SymbolismAbstract
This paper presents an exegetical hypothesis about the relation between propositions 3.3 and 3.333 of Tractatus Logico-Philosophicus. The touchstone of this exegetical hypothesis is that, in the interpretation of these propositions, faithfully follow what Wittgenstein said about the numbering of the Tractatus propositions - which has the consequence that 3.333 would be an observation relative to proposition 3.33, and this, an observation to the proposition 3.3. This interpretation aims to show how the context principle, formulated in 3.3, helps in the solution of the Russell’s paradox, which has its solution enunciated in 3.333.
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RUSSELL , Bertrand, 1902. “Letter to Frege,” in Jean van Heijenoort (ed.), From Frege to Gödel. Cambridge: Harvard University Press, 1967. p. 124–125.
https://doi.org/10.1017/s0022481200065105
RUSSELL, Bertrand, 1903. “Appendix B: The Doctrine of Types.” In: RUSSELL, Bertrand. The Principles of Mathematics. Cambridge: Cambridge University Press, 1903. p. 523–528.
RUSSELL , Bertrand, 1908. “Mathematical Logic as Based on the Theory of Types.” American Journal of Mathematics, 30: 222–262; repr. In: RUSSELL, Bertrand. Logic and Knowledge. London: Allen and Unwin, 1956. p. 59–102; and repr. in Jean van Heijenoort (ed.), From Frege to Gödel, Cambridge, Mass.: Harvard University Press, 1967. p. 152–182.
https://doi.org/10.1017/s0022481200065105
WITTGENSTEIN, Ludwig. Tractatus Logico-Philosophicus. Tradução: Luiz Henrique Lopes dos Santos. São Paulo: Editora da Universidade de São Paulo, 1994.
https://doi.org/10.1590/1980-436920170000000010
WITTGENSTEIN, Ludwig. Notebooks – 1914-1916. Oxford: Blackwell Publishers, 1998.
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