RELIEF AND DEPOSITS OF THE LATE CENOZOIC PERIOD OF THE NORTHWESTERN PART OF THE CENTRAL YAKUT PLAIN AND ADJACENT TERRITORY OF THE EAST SIBERIAN PLATEAU (SHEET Q-51)

The so-called “watershed coarse gravels” of the Neogene were preserved within the development of heterochronous denudation peneplanation planes. Based on the comparison of paleontological data with the global eustatic Hague-Weil curve, a ladder of denudation levels is constructed. According to the latter, the age of alluvial are determined. Correlation of the deposits of erosion-accumulative terraces in the conditions of the Munsky neotectonic uplift with alluvium in the valley of the Lena is realised. For the latter, the Late Neo-Pleistocene-Holocene age is substantiated and separate geomorphological unit is proposed. The conclusion is made about the weak notion substantiation on the dammed origin of the Mavrinskaya Formation and its age range, the significant role of subaeral processes in its formation in the interval of the Samarovo-Muruktinskoye time is assumed.

The Fusemate Logic Programming System

Fusemate is a logic programming system that implements the possible model semantics for disjunctive logic programs. Its input language is centered around a weak notion of stratification with comprehension and aggregation operators on top of it. Fusemate is implemented as a shallow embedding in the Scala programming language. This enables using Scala data types natively as terms, a tight interface with external systems, and it makes model computation available as an ordinary container data structure constructor. The paper describes the above features and implementation aspects. It also demonstrates them with a non-trivial use-case, the embedding of the description logic $$\mathcal ALCIF$$ A L C I F into Fusemate’s input language.

CHOOSING NORMATIVITY AFTER THE “DEATH OF GOD”. ETHICAL IMPLICATIONS OF WEAK THOUGHT

The article aims to analyse the concept of normativity within the philosophy of weak thought developed by Gianni Vattimo. Weak thought refers to the idea of weakening the existence in the era of metaphysical demise, as well as a challenge to the Cartesian concept of the subject. This philosophical tradition does not entirely abandon moral normativity. Vattimo proposes a weak notion of normativity, i.e. persuasion, without claims of universal applicability. Weak normativity derives from dialogue and respect for tradition, as well as recommends compliance with specific moral principles. However, it does not consider their applicability to be universal. This kind of normativity is established on the basis of cultural heritage, agreement and social contract.

Skew Poincaré–Birkhoff–Witt extensions over weak compatible rings

In this paper, we introduce weak [Formula: see text]-compatible rings and study skew Poincaré–Birkhoff–Witt extensions over these rings. We characterize the weak notion of compatibility for several noncommutative rings appearing in noncommutative algebraic geometry and some quantum algebras of theoretical physics. As a consequence of our treatment, we unify and extend results in the literature about Ore extensions and skew PBW extensions over compatible rings.

Truthmaking and the Mysteries of Emergence

This chapter discusses and evaluates the role of truthmaking in articulating an unproblematic concept of emergence—specifically, the proposal that emergent properties should be characterized as those that, while “ontologically dependent”, are yet needed as truthmakers. It argues that while emergence so understood appears to avoid several well-known concerns about emergence and emergent properties, including those that stem from the alleged “brute determination” of emergent properties, this result is secured through the weak notion of dependence that it employs. The appeal to truthmaking, in contrast, proves largely superfluous. While truthmaking may thus not be able to play a significant role in emergentist metaphysics, it is argued that it is consistent with this verdict that truthmaking can play a more significant role in characterizing an attractive middle ground between reductive and nonreductive approaches to physicalism.

Nonlocality in Bell’s Theorem, in Bohm’s Theory, and in Many Interacting Worlds Theorising

“Locality” is a fraught word, even within the restricted context of Bell’s theorem. As one of us has argued elsewhere, that is partly because Bell himself used the word with different meanings at different stages in his career. The original, weaker, meaning for locality was in his 1964 theorem: that the choice of setting by one party could never affect the outcome of a measurement performed by a distant second party. The epitome of a quantum theory violating this weak notion of locality (and hence exhibiting a strong form of nonlocality) is Bohmian mechanics. Recently, a new approach to quantum mechanics, inspired by Bohmian mechanics, has been proposed: Many Interacting Worlds. While it is conceptually clear how the interaction between worlds can enable this strong nonlocality, technical problems in the theory have thus far prevented a proof by simulation. Here we report significant progress in tackling one of the most basic difficulties that needs to be overcome: correctly modelling wavefunctions with nodes.

Quasi-static hydraulic crack growth driven by Darcy’s law

In the framework of rate independent processes, we present a variational model of quasi-static crack growth in hydraulic fracture. We first introduce the energy functional and study the equilibrium conditions of an unbounded linearly elastic body subject to a remote strain {\epsilon\in\mathbb{R}} and with a sufficiently regular crack Γ filled by a volume V of incompressible fluid. In particular, we are able to find the pressure p of the fluid inside the crack as a function of Γ, V, and ϵ. Then we study the problem of quasi-static evolution for our model, imposing that the fluid volume V and the fluid pressure p are related by Darcy’s law. We show the existence of such an evolution, and we prove that it satisfies a weak notion of the so-called Griffith’s criterion.

Riemannian surfaces with torsion as homogenization limits of locally Euclidean surfaces with dislocation-type singularities

We reconcile two classical models of edge dislocations in solids. The first, from the early 1900s, models isolated edge dislocations as line singularities in locally Euclidean manifolds. The second, from the 1950s, models continuously distributed edge dislocations as smooth manifolds endowed with non-symmetric affine connections (equivalently, endowed with torsion fields). In both models, the solid is modelled as a Weitzenböck manifold. We prove, using a weak notion of convergence, that the second model can be obtained rigorously as a homogenization limit of the first model as the density of singular edge dislocation tends to infinity.