This paper concerns modal logics appearing from the temporal ordering of domains in two-dimensional Minkowski spacetime. As R. Goldblatt has proved recently, the logic of the whole plane isS4.2. We consider closed or open convex polygons and closed or open domains bounded by simple differentiable curves; this leads to the logics:S4,S4.1,S4.2 orS4.1.2.

Intermediate prepositional logics we consider here describe the setI() of regular informational types introduced by Yu. T. Medvedev [7]. He showed thatI() is a Heyting algebra. This algebra gives rise to the logic of infinite problems from [13] denoted here asLM 1. Some other definitions of negation inI() lead to logicsLM n (n ). We study inclusions between these and other systems, proveLM n to be non-finitely axiomatizable (n ) and recursively axiomatizable (n ). We also show that formulas in (...) one variable do not separateLM from Heyting's logicH, andLM n (n ) from Scott's logic (H+S). (shrink)

In recent years, the phenomena of hormonal control, embryonic determination and pattern formation have been receiving intensive scrutiny from molecular biologists. In the following «Roots» contribution, Professor Sir Vincent B. Wigglesworth reviews some of the seminal work that he did on these subjects in the insect Rhodnius prolixus.

It is demonstrated that one can in principle register an arbitrarily small force acting on a free particle by employing only measurements of its coordinates.

The vestibular system encodes motion and orientation of the head in space and is essential for negotiating in and interacting with the world. Recently, random waveform electric vestibular stimulation has become an increasingly common means of probing the vestibular system. However, many of the methods used to analyze the behavioral response to this type of stimulation assume a linear relationship between frequencies in the stimulus and its associated response. Here we examine this stimulus-response frequency linearity to determine the validity of (...) this assumption. Forty-five university-aged subjects stood on a force-plate for 4 min while receiving vestibular stimulation. To determine the linearity of the stimulus-response relationship we calculated the cross-frequency power coupling between a 0 and 25 Hz bandwidth limited white noise stimulus and induced postural responses, as measured using the horizontal forces acting at the feet. Ultimately, we found that, on average, the postural response to a random stimulus is linear across stimulation frequencies. This result supports the use of analysis methods that depend on the assumption of stimulus-response frequency linearity, such as coherence and gain, which are commonly used to analyze the body’s response to random waveform electric stimuli. (shrink)

Recent studies in semantics of modal and superintuitionistic predicate logics provided many examples of incompleteness, especially for Kripke semantics. So there is a problem: to find an appropriate possible- world semantics which is equivalent to Kripke semantics at the propositional level and which is strong enough to prove general completeness results. The present paper introduces a new semantics of Kripke metaframes' generalizing some earlier notions. The main innovation is in considering "n"-tuples of individuals as abstract "n"-dimensional vectors', together with some (...) transformations of these vectors. Soundness of the semantics is proved to be equivalent to some non- logical properties of metaframes; and thus we describe the maximal semantics of Kripke- type. (shrink)

_The purpose_ of the article is to comprehend the Husserlian model of constituting temporal modes through the ability of intentional "retentional-protentional" consciousness, as well as to clarify the possibility of interpreting its positions in the reconstruction of the concept of anthropic time. _Theoretical basis._ The theoretical framework of the research includes: 1) the interpretation of the phenomenological reflection of "time-consciousness" by E. Husserl in the context of solving the problem of phased-differentiation of this form of temporality; 2) the concept of (...) anthropic time (V. Khanzhy). _Originality._ For the first time in research literature, the possibilities of applying the ideas of Husserl to the reconstruction of the concept of anthropic time are considered through the interpretation of the phenomenological solution to the problem of temporality, proposed and specified in Husserl’s "time-consciousness" concept. _Conclusions._ The comprehension of the Husserlian model of intentionality of consciousness through the "grasping-from-now" and the constitution of phases of phenomenological time through the component of "exiting-from-now" showed that solving the problem of phased-differentiation of phenomenological time leads to the observation of the impossibility of isolating the modes of past, present, and future as self-sufficient and unconditional. More accurate indications, based on the constitutive intentionality of consciousness on the "grasping-from-now" phases of time (as conventional), are as follows: a) the abilities of retention and recollection are the foundation for the constitution of the past and its connections to the present; b) the perception establishes the basis for the phase of the present itself; c) the possibilities of protention and anticipation (as forms of imagination) constitute the future and its connections to the present. By the concept of retention, Husserl fixes a certain primary memory (the present "now" of a past interval), which enables retaining the past in the present. The category of recollection or secondary memory is used by the philosopher to refer to the self-sufficient reproduction of past experiences (without being joined to present perception). The fundamental difference between recollection and retention is that the former _re-_presents a temporal interval, grasping its content and reproducing it as it was in the past, while in the latter, the perceived duration is presented as a fragment of time that has just passed. According to the German philosopher, the "grasping" of the present phase is performed by perception. Through the constitutive intentionality of consciousness, perception synthesizes the results of primary-actual activity and retentional holding of duration. The second part of the article will present solutions to the following research tasks: 1) analysis of the possibilities of protention and anticipation in constituting the future and its connections with the present; 2) understanding the possibility of using interpreted forms of Husser’s ideas in reconstructing the concept of anthropic time. (shrink)

_Purpose._ The purity of consciousness in European culture has practically been turned into an abstraction. Because of this, there are so many discrepancies in understanding its nature. For Heidegger, the question of the purity of human consciousness remains open. Our purpose is to study the purity of European consciousness in the work of M. Heidegger. _Theoretical basis._ We draw on the deep foundations of existential, phenomenological, hermeneutic, religious-philosophical and postmodern Western and Eastern thought. _Originality._ While the early Heidegger was thinking (...) under the sign of Dasein, he did not hear the nature of the "pure consciousness" of human. Nevertheless, temporality for him was such a fundamental property that it determined the depth of understanding not only of being, but also of human consciousness itself (like Dasein). In this context, we begin to understand that the depth of consciousness in the concept of early Heidegger can be associated with its temporality. In fact, towards the end of "Being and Time", Heidegger, thinking more and more about the understanding of time from the horizon of being, begins to form similar ideas about understanding itself, that is, about human consciousness, in the sense that consciousness itself arises from the horizon of time (and being). What, then, is pure human consciousness the pure time? Does not this mean that the original meaning of consciousness is in its directed temporalizing. This temporalizing of consciousness of human (as a thinking being), which arises from the future, is perceived in three modes and reveals the fundamental nature of the consciousness itself (thinking is a stream of consciousness and, in such a context, directed understanding). Paraphrasing Heidegger, we say that the ontological meaning of pure human consciousness is revealed as temporality. Already after writing _Being and Time_, Heidegger thinks about the origins of the European consciousness, its comprehending from the depths (originality) of the being of European culture. _Conclusions._ The early Heidegger seeks the purity of being and, at the same time, strives more and more to understand the essence of the purity of human thinking. All of Heidegger’s work is a consistent transition from human understanding of the purity of being (Dasein) to the purity of thinking of a human himself. In this sense, there is a transformation of M. Heidegger’s consciousness from fundamental ontology (Dasein) in the early period to existential anthropology (human consciousness) in the late period. (shrink)

_The purpose _of the article is to comprehend the Husserlian model of constituting temporal modes through the ability of intentional "retentional-protentional" consciousness, as well as to clarify the possibility of interpreting its positions in the reconstruction of the concept of anthropic time. _Theoretical basis._ The theoretical framework of the research includes: 1) the interpretation of the phenomenological reflection of "time-consciousness" by E. Husserl in the context of solving the problem of phased-differentiation of this form of temporality; 2) the concept of (...) anthropic time (V. Khanzhy). _Originality._ For the first time in the research literature, the possibilities of applying the ideas of Husserl to the reconstruction of the concept of anthropic time are considered through the interpretation of the phenomenological solution to the problem of temporality, proposed and specified in Husserl’s "time-consciousness" concept. _Conclusions._ According to Husserl, the structure of human time-consciousness is instantiated in three spheres of passivity: prerefleсtive cogito, embodiment, and intersubjectivity. Within the framework of the problem of phase differentiation of phenomenological time, an analysis of the potencies of consciousness in constituting the phases of time-consciousness, namely protentional and retentional potencies, has been proposed. In the context of the reconstruction of the concept of anthropic time, several aspects of Husserl’s model of time-consciousness have been interpreted, including the paradoxical reconciliation of two quasi-incompatible ideas: the idea of the vagueness of the boundaries between temporal modes and the thesis of the formal capacity of preserving temporal units within their respective temporal phases. The property of multilevel complexity in the system of human temporality accounts for the diversity in the relationship of unique temporal units based on formal and content-related criteria ('temporal matryoshka'). (shrink)

The level of development of advertising and sponsorship activities in Russia is still significantly inferior to Western countries, but every year we see tremendous development in this area. Sponsorship is not mostly considered as an investment and marketing communication yet, but rather as a charity. This approach, according to the authors, is more consistent with philanthropy. In this regard, the article defines the concepts of "sponsorship" and "philanthropy", shows the difference between them. Examples of interaction between sports organizations and sponsors (...) are considered. The role of advertising in this interaction is analyzed. According to the authors, Russia has a good legal framework for regulating the relations of sponsors, patrons, athletes and fans, but the system of ethical control of such relations is poorly developed. (shrink)

В книге дается структурный анализ различий монотеистических и политических религий и обозначаются перспективы развития новейшего религиозного мировоззрения.