Examples of Calabi-Yau threefolds with small Hodge numbers

We observe some suitable examples of Calabi-Yau threefolds for heterotic superstring compactifications. It is reasonable to seek CY threefolds with Euler characteristic equals ±6 because of generation’s number. Hosotani mechanism for violations of the gauge group by the Wilson loops requires such CY space has a non-trivial fundamental group. These spaces can be obtained by factoring the complete intersection Calabi-Yau spaces by the free action of some discrete group. Also we shortly discuss cases when discrete groups act with fixed point sets.

Nonconsensual neurocorrectives, bypassing, and free action

As neuroscience progresses, we will not only gain a better understanding of how our brains work, but also a better understanding of how to modify them, and as a result, our mental states. An important question we are faced with is whether the state could be justified in implementing such methods on criminal offenders, without their consent, for the purposes of rehabilitation and reduction of recidivism; a practice that is already legal in some jurisdictions. By focusing on a prominent type of view of free action, which I call bypassing views, this paper evaluates how such interventions may negatively impact the freedom of their subjects. The paper concludes that there will be a tension between the goals of rehabilitation and reduction of recidivism, on the one hand, and the negative impact such interventions may have on free action, on the other. Other things equal, the better that a particular intervention is at achieving the former, the more likely it is to result in the latter.

Agency

Earlier chapters advanced the idea that the appearances (the manifest image) and reality (as revealed in the scientific image) are not in competition: the scientific image constitutes our best guess as to the nature of truthmakers for truths at home in the manifest image. Along the way, necessitarianism (everything is as it is of necessity) and monism repeatedly inserted themselves into the discussion. The thought that truths of the manifest image could survive intact, even when they appear deeply at odds with the scientific image could prove correct, however, even were the accompanying cosmology misguided. The problem of reconciling free will with the scientific image provides an illustrative test case. Just as truthmakers for truths about moving objects could turn out to include nothing that moves, truths about agents acting freely could be made true by wholly deterministic features of the universe. This is not ‘compatibilism’: a free action is not compatible with the action’s being determined. As in the case of motion, agents and their actions are respectable citizens of the manifest image, their standing not compromised by physics.

On the Progression of Belief

Based on weighted possible-world semantics, Belle and Lakemeyer recently proposed the logic DS, a probabilistic extension of a modal variant of the situation calculus with a model of belief. The logic has many desirable properties like full introspection and it is able to precisely capture the beliefs of a probabilistic knowledge base in terms of the notion of only-believing. While the proposal is intuitively appealing, it is unclear how to do planning with such logic. The reason behind this is that the logic lacks projection reasoning mechanisms. Projection reasoning, in general, is to decide what holds after actions. Two main solutions to projection exist: regression and progression. Roughly, regression reduces a query about the future to a query about the initial state while progression, on the other hand, changes the initial state according to the effects of actions and then checks whether the formula holds in the updated state. In this paper, we study projection by progression in the logic DS. It is known that the progression of a categorical knowledge base wrt a noise-free action corresponds to what is only-known after that action. We show how to progress a type of probabilistic knowledge base wrt noisy actions by the notion of only-believing after actions. Our notion of only-believing is closely related to Lin and Reiter's notion of progression.

Novelty is not surprise: Human exploratory and adaptive behavior in sequential decision-making

Classic reinforcement learning (RL) theories cannot explain human behavior in the absence of external reward or when the environment changes. Here, we employ a deep sequential decision-making paradigm with sparse reward and abrupt environmental changes. To explain the behavior of human participants in these environments, we show that RL theories need to include surprise and novelty, each with a distinct role. While novelty drives exploration before the first encounter of a reward, surprise increases the rate of learning of a world-model as well as of model-free action-values. Even though the world-model is available for model-based RL, we find that human decisions are dominated by model-free action choices. The world-model is only marginally used for planning, but it is important to detect surprising events. Our theory predicts human action choices with high probability and allows us to dissociate surprise, novelty, and reward in EEG signals.

Images of Relations between Nobility and Peasantry in Russian Liberal Literature in Late 19th — Early 20th Centuries

The article is devoted to the peculiarities of the representation of relations between the nobility and the peasantry in Russian liberal thought at the cusp of XIX—XX centuries. A review of the existing historiography on the problem is carried out, the main attention is paid to the emerging from the middle 1980s the traditions of studying the liberal intelligentsia in Russia and the peculiarities of the relationship between the “educated minority and the peasant world”, an analysis of the latest scientific literature is presented. Special attention is paid to the main research approaches to the study of the topic, microhistorical, positional and other approaches, the concept of “new local history” is highlighted and the need for their complex use is declared. The results of a comparative analysis of various groups of sources are presented: reminiscence and memoirs, periodicals, statistical materials, correspondence. The question is raised about the differences in the self-identification of the Russian nobility, as well as in the mutual representations of the two most important estates of post-reform Russia. The novelty of the study is seen in the fact that, on the basis of new methodological approaches, several images of relations between the nobility and the peasantry have been identified at the cusp of XIX—XX centuries: the image of the “new entrepreneurial type”, “guardianship” and “preservation of traditions”, conventionally “lordly”, as well as the image of “free action”; their distinctive characteristics are given. The proposed classification is due to the main ideas of the Russian nobility about the peasants in the context of the institutionalization of liberal ideology.

Relativistic fermions: Introduction

Some basic concepts needed for the discussion of Fermi fields have been introduced earlier, as in quantum mechanics (QM) with Grassmann variables, a representation by field integrals of the statistical operator e<συπ>−βH</συπ> for the non-relativistic Fermi gas in the formalism of second quantization, and an expression for the evolution operator. Here, it is first recalled how relativistic fermions transform under the spin group. The free action for Dirac fermions is analysed, the relation between fields and particles explained, an expression for the scattering matrix obtained, and the non-relativistic limit of a model of self-coupled massive Dirac fermions derived. A formalism of Euclidean relativistic fermions is then introduced. In the Euclidean formalism: fermions transform under the fundamental representation of the spin group Spin(d) associated with the SO(d) rotation group (spin 1/2 fermions for d = 4). As for the scalar field theory, the Gaussian integral, which corresponds to a free field theory is calculated. Then the generating functional of correlation functions is obtained by adding a source term to the action. The field integral corresponding to a general action with an interaction expandable in powers of the field, can be expressed in terms of a series of Gaussian integrals, which can be calculated, for example, with the help of Wick's theorem. The connection between spin and statistics is verified by a simple perturbative calculation. The appendix describes a few additional properties of the spin group, the algebra of γ matrices, and the corresponding spinors for Euclidean fermions.

Naturally Free Action

Do we have free will? This book argues that the answer to that question is “yes,” by showing how the concept of free will refers to many actual behaviors, and how free actions are a natural kind. Additionally, the book addresses the role of phenomenology in fixing the reference of the concept, and argues that free-agency phenomenology is typically accurate, even if determinism is true. The result is a realist, naturalistic framework for theorizing about free will, according to which free will exists and we act freely. For the most part, this verdict is reached independently of addressing the compatibility question, which asks whether free will is compatible with determinism. Even so, the book weighs in on that question, arguing that the natural-kind view both supports compatibilism and provides compatibilists with an attractive way to be realists about free will. The resulting position is preferable to previous natural-kind accounts as well as to revisionist accounts of free will and moral responsibility. Finally, the view defuses recent empirical threats to free will and is able to address emerging questions about whether an artificially intelligent agent might ever act freely or be responsible for its behaviors.

Naturally free action

Adopting the alternative approach motivated in Chapter 1, this chapter argues that free will is a natural kind, by relying on the influential idea that natural kinds are homeostatic property clusters (HPCs). The resulting HPC natural-kind view about free will answers the existence question positively: free will exists and we act freely. Moreover, it does so without directly addressing the compatibility question, although the view favors compatibilism over libertarianism. The chapter also rebuts a prominent objection to natural-kind views about free will, including the HPC view. Finally, the HPC view builds on Andrew Sims’s recent view that agents are a natural kind and it yields an appealing alternative to standard approaches as well as to recent revisionist approaches to free will and moral responsibility.