A Comparative Study of "Godmanhood" (bogochelovechestvo) in Russian Philosophy. The Eighth Day in V. Solovëv, S. Bulgakov, N. Berdiaev, and S. Frank

A Comparative Study of “Godmanhood” (bogochelovechestvo) in Russian Philosoph

Exact controllability of non-Lipschitz semilinear systems

We present sufficient conditions for exact controllability of a semilinear infinite-dimensional dynamical system. The system mild solution is formed by a noncompact semigroup and a nonlinear disturbance that does not need to be Lipschitz continuous. Our main result is based on a fixed point-type application of the Schmidt existence theorem and illustrated by a nonlinear transport partial differential equation

The troubling concept of class: reflecting on our ‘failure’ to encourage sociology students to re-cognise their classed locations using autobiographical methods

The troubling concept of class: reflecting on our ‘failure’ to encourage sociology students to re-cognise their classed locations using autobiographical methods Abstract This paper provides a narrative of the four authors‟ commitment to auto/biographical methods as teachers and researchers in „new‟ universities. As they went about their work, they observed that, whereas students engage with the gendered, sexualised and racialised processes when negotiating their identities, they are reluctant or unable to conceptualise „class-ifying‟ processes as key determinants of their life chances. This general inability puzzled the authors, given the students‟ predominantly working-class backgrounds. Through application of their own stories, the authors explore the sociological significance of this pedagogical „failure‟ to account for the troubling concept of class not only in the classroom but also in contemporary society

Recent progress in random metric theory and its applications to conditional risk measures

The purpose of this paper is to give a selective survey on recent progress in random metric theory and its applications to conditional risk measures. This paper includes eight sections. Section 1 is a longer introduction, which gives a brief introduction to random metric theory, risk measures and conditional risk measures. Section 2 gives the central framework in random metric theory, topological structures, important examples, the notions of a random conjugate space and the Hahn-Banach theorems for random linear functionals. Section 3 gives several important representation theorems for random conjugate spaces. Section 4 gives characterizations for a complete random normed module to be random reflexive. Section 5 gives hyperplane separation theorems currently available in random locally convex modules. Section 6 gives the theory of random duality with respect to the locally $L^{0}-$convex topology and in particular a characterization for a locally $L^{0}-$convex module to be $L^{0}-$pre$-$barreled. Section 7 gives some basic results on $L^{0}-$convex analysis together with some applications to conditional risk measures. Finally, Section 8 is devoted to extensions of conditional convex risk measures, which shows that every representable $L^{\infty}-$type of conditional convex risk measure and every continuous $L^{p}-$type of convex conditional risk measure ($1\leq p<+\infty$) can be extended to an $L^{\infty}_{\cal F}({\cal E})-$type of $\sigma_{\epsilon,\lambda}(L^{\infty}_{\cal F}({\cal E}), L^{1}_{\cal F}({\cal E}))-$lower semicontinuous conditional convex risk measure and an $L^{p}_{\cal F}({\cal E})-$type of ${\cal T}_{\epsilon,\lambda}-$continuous conditional convex risk measure ($1\leq p<+\infty$), respectively.Comment: 37 page

Learning to Think Iconically in the Human and Social Sciences: Iconic Standards of Understanding as a Pivotal Challenge for Method Development

Theoretically as well as alongside an empirical research idea, this paper outlines conditions for the development of social scientific empirical methods able to further exploit the iconic potential of the image. Reconstructing the role of formal pictorial elements for the standards of understanding within the medium “image” is considered pivotal in this endeavor. Within the context of language, standards of communication have already been extensively researched. The linguistic format of the narrative, for instance, is well studied. Up to now, though, comparable formal vehicles of iconic semantics have only been examined in aesthetics and art history. Nevertheless, standards of iconic understanding are part of our implicit knowledge, are incessantly in use in everyday practice and, thus, the basis of everyday identity formation. With the help of empirical methods based on an iconic logos we can deepen our understanding of orientations, longings, and anxieties of our time that are often silently conveyed by images. Fashion will be outlined as a prototypical field, in which an empirically based development of such methods might start off