The (in)depence of elementary propositions in early Wittgenstein

In my Master's thesis, I focus on the problem of dependence and independence of elementary propositions in the Tractatus and Some Remarks on Logical Form. The main issue I wish to analyze in my investigation is the question of whether the independence of elementary propositions (asserted in the Tractatus) is necessary for the maintenance of Tractarian truth-functional analysis of propositions. The motivation behind this is the fact that, in the SRLF, Wittgenstein explicitly rejects, after precise argumentation, the independence of elementary propositions concerning characteristics allowing gradation. After analyzing the essential arguments and precise rendering of independence of elementary propositions in the Tractatus and considering arguments for their dependence in the SRLF, I argue that (based on my analysis of both works) the mutual dependence of some elementary propositions is not problematic for Tractarian truth-functional analysis