Aritmetica e conhecimento simbolico: notas sobre o Tractatus Logico Philosophicus e o ensino de filosofia da matematica
Departing from and closing with reflections on issues regarding teaching practices of philosophy of mathematics, I propose a comparison between the main features of the Leibnizian notion of symbolic knowledge and some pas sages from the Tractatus on arithmetic. I argue that this way of reading al lows (i) to shed a new light on the specificities of the Tractarian definition of number, compared to those of Frege and Russell; (ii) to highlight the under standing of the nature of mathematical knowledge as symbolic or formal knowledge that Wittgenstein mobilizes in his book; (iii) to offer reasons for the claim that Wittgenstein can be considered the philosopher of mathemati cal practice avant la lettre. The paper ends with an overview, a return to the initial reflection on the connections between research and teaching, and a de fense of the reading key used here in terms of its potential for the research in philosophy of mathematics.