We present some Zermelo-Fraenkel consistency results regarding bi-orderability of groups, as well a construction groups with Conradian orders whose every action on metric spaces has bounded orbits. A classical consequence the ultrafilter lemma is that group bi-orderable if and only it locally bi-orderable. show there exists model ZF in which free (ergo bi-orderable) not bi-orderable, can be giv...

bankruptcy and tort; two apparently distinct branches of law, but, in fact, some technical and theoretical issues arise from their interaction. these include, among others, the boundaries between personal rights of the victim to damages, exclusively allocated to the bankrupt, and the financial damages , which belong to the creditors ; the problems resulting from the chronological order of the b...

The trunk of fish is covered by a large variety of morphologically and structurally diverse skeletal elements, such as scales, scutes and bony plates [1]. These elements are formed from intramembraneous ossifications and are part of the integumentary skeleton [2]. Histological and developmental similarities with neural crest-derived teeth in fossil and extant vertebrates, have led to the widely...

In the second set of supplementary notes — Gravity, Metrics and Coordinates — we introduced the idea that matter induces spacetime curvature, and we argued that this curvature is fully described by the metric. In the case of a static, spherically symmetric mass distribution, we presented the Einstein Field Equations whose solution gives the metric and therefore the geometry of spacetime. The cu...