Subjective Logicism, Objective Logicism, Expression

Two varieties of Logicism can be called 'Subjective' and 'Objective'.  In both, Language is conceived as derived from Logic, but in the latter, the locus of Logic is the inner structure of the World, while in the former, it is the I.  Thus, in Objective Logicism, Language 'refers' to that locus, whereas in Subjective Logicism, it 'expresses' it.  For example, Russell implicitly subscribes to OL, Kant and Husserl to SL, and both are to be found in the Tractatus--the initial premises are that of OL, but the brief emergences of Constructivism and Solipsism can be classified as SL.  Now, as Husserl, in the Logical Investigations shows, SL, unlike OL can accommodate Expression as a type of Meaning, in the process of which he recognizes Communication as the fundamental context of Language.  Still, rather than further exploring the latter topic, his focus remains that of Russell--a concept of Language as primarily functioning to represent what is true, the necessary conditions of which are expressed, in his version, in the formal structures of Language.