María Cerezo

Abstract This paper discusses some recent work on the notion of possibility in Wittgenstein's Tractatus assessed by means of an interpretation of the notion put forward in Cerezo 2005. It argues that the proper way to understand the notion of possibility in the Tractatus must pay equal attention both to the picture theory and the truth-functions theory. From this perspective, through an examination of Peach's proposal (2007) it shows that the role played by the notion of logical space in the determination of sense needs to be emphasized. In addition, the paper considers some consequences of the Tractarian notion of possibility, namely, the strong contingency of the world that it involves, which is revealed by the thinkability of logical space as empty envisaged by Wittgenstein in T 2.013, and also discusses the recent debate between Reinhardt (2005) and Geach (2006) on this issue

In this volume, María Cerezo examines Wittgenstein's Tractatus Logico-Philosophicus as a response to some of Frege's and Russel's logical problems. In analyzing the tractarian conditions for the possibility of language, she explains the two main theories of the proposition in Tractatus : the truth-functions theory and the picture theory. Cerezo shows that Wittgenstein initially separates the account of the structure of a proposition from the explanation of its expression. However, contrary to his intention, the combination of these theories creates new difficulties, since the requirements of each theory cannot be fully respected by the others. Cerezo also argues that Wittgenstein's theory of language cannot be fully understood unless attention is paid to his theory of expression and his doctrine of projection by the metaphysical subject.