Abstract

The analysis of logical predication has long philosophical tradition in which one of the central subjects of study is the analysis of the logical form of the proposition. We contemporaneously can say that the way more well-finished of logic predication is propositional function. Historically, the propositional function arises as a logical analysis of the proposition scheme resulting from the convergence of mathematics and logic between the XIX and XX centuries. Two of the main responsible for this convergence were Gottlob Frege (1848 - 1925) and Bertrand Russell (1872-1970). Influenced by Frege's ideas and direct heir of Russell, having been a disciple of this in Cambridge, Ludwig Wittgenstein (1889 - 1951) has become, in view of the originality of his thought, one of the most discussed and commented thinkers of the twentieth century, especially with the publication of his work entitled "Tractatus Logico-Philosophicus" (1921). It's in this work that Wittgenstein more considers himself debtor from Frege and Russell, having left explicit mention to them. Then the question that guides the development of this thesis is: what is the meaning of the propositional function of Frege and Russell in the Wittgenstein's Tractatus (1921)? Our goal is, in this sense, to investigate the meaning of the concept of propositional function in the Tractatus (1921). Our starting point is to understand the meaning of the propositional function in Frege and Russell to understand its meaning in the Tractatus (1921). We will focus our analysis on what Wittgenstein calls "propositional variable" (Satzvariable), term that best approximates, in our view, of the propositional function of Frege and Russell. In this sense, our interpretative question was formulated as: what is the meaning of the concept of propositional variable in the Tractatus (1921)? We defend the thesis that the role of the propositional function in Frege and Russell corresponds to the role of the propositional variable in Wittgenstein