Any modern approach to a Marxist theory of culture must begin by considering the proposition of a determining base and a determined superstructure. From a strictly theoretical point of view this is not, in fact, where we might choose to begin.1 It would be in many ways preferable if we could begin from a proposition which originally was equally central, equally authentic: namely the proposition...

We prove two results about the quotient over the asymptotic density zero ideal. First, it is forcing equivalent to P(N)/Fin ∗Rc, where Rc is the homogeneous probability measure algebra of character c. Second, if it has analytic Hausdorff gaps then they look considerably different from previously known gaps of this form. We consider density ideals, ideals of the form Zμ = {A| lim supn μn(A) = 0}...

The precise formulation of PP requires some notation. Let Ch be a function that assigns a number in the interval [0,1] to each proposition A. is the proposition that Ch assigns the chance x to A. Let Cr be a function that assigns a number in the interval [0,1] to each proposition A, corresponding to a person’s degree of belief (or credence) in A. Finally, let E be any proposition. W...

In this work, an erratum for a proposition in the paper ‘‘A New Pre-Order Relation Set Optimization using $\ell$-difference" is outlined. It was pointed out by Stefan Rocktäschel and Ernest Quintana that proof of Proposition 3.11 wrong \cite{koc}. A small detail has been overlooked. new proposition, which closely related to \cite{koc}, presented. The main results are not affected erratum.

• The transitivity theorem, in Proposition 1 of Quickr, has a revision in item iii. The revised version is Proposition 5 in this document. • Definition 1 in Appendix B.2, which defines dominance, has a revision in the condition for c-dominance. The revised version is Definition 1 in this document. We also offer new definitions of equivalence and weak equivalence. • The dominance pushdown rules ...