Notions of k-asimulation and asimulation are introduced as asymmetric counterparts to k-bisimulation and bisimulation, respectively. It is proved that a first-order formula is equivalent to a standard translation of an intuitionistic propositional formula iff it is invariant with respect to k-asimulations for some k, and then that a first-order formula is equivalent to a standard translation of an intuitionistic propositional formula iff it is invariant with respect to asimulations. Finally, it is proved that a first-order formula is equivalent to a (...) standard translation of an intuitionistic propositional formula over the class of intuitionistic Kripke models iff it is invariant with respect to asimulations between intuitionistic models. (shrink)

We formulate a Hilbert-style axiomatic system and a tableau calculus for the STIT-based logic of imagination recently proposed in Wansing. Completeness of the axiom system is shown by the method of canonical models; completeness of the tableau system is also shown by using standard methods.

Primatological and archaeological evidence along with anthropological accounts of hunter-gatherer societies indicate that lethal between-group violence may have been sufficiently frequent during our ancestral past to have shaped our evolved behavioral repertoire. Two simulations explore the possibility that heroism (risking one's life fighting for the group) evolved as a specialized form of altruism in response to war. We show that war selects strongly for heroism but only weakly for a domain-general altruistic propensity that promotes both heroism and other privately costly, (...) group-benefiting behaviors. A complementary analytical model shows that domain-specific heroism should evolve more readily when groups are small and mortality in defeated groups is high, features that are plausibly characteristic of our collective ancestral past. (shrink)

Cut reductions are defined for a Kripke-style formulation of modal logic in terms of indexed systems of sequents. A detailed proof of the normalization (cutelimination) theorem is given. The proof is uniform for the propositional modal systems with all combinations of reflexivity, symmetry and transitivity for the accessibility relation. Some new transformations of derivations (compared to standard sequent formulations) are needed, and some additional properties are to be checked. The display formulations [1] of the systems considered can be presented as (...) encodings of Kripke-style formulations. (shrink)

The construction of space-time in a physical system without time and dynamics is considered. It is shown that the anthropic principle and causality principle inevitably arise in models without time and dynamics. It is shown that for any physical model based on a system without time and dynamics, the anthropic principle is a scientific principle and, in principle, can be falsified. It is shown that, in principle, there is the possibility of experimental verification of what is true - realism or (...) idealism. (shrink)

In this article we show that bi-intuitionistic predicate logic lacks the Craig Interpolation Property. We proceed by adapting the counterexample given by Mints, Olkhovikov and Urquhart for intuitionistic predicate logic with constant domains [13]. More precisely, we show that there is a valid implication $\phi \rightarrow \psi $ with no interpolant. Importantly, this result does not contradict the unfortunately named ‘Craig interpolation’ theorem established by Rauszer in [24] since that article is about the property more correctly named ‘deductive interpolation’ (see (...) Galatos, Jipsen, Kowalski and Ono’s use of this term in [5]) for global consequence. Given that the deduction theorem fails for bi-intuitionistic logic with global consequence, the two formulations of the property are not equivalent. (shrink)

Intuitionistic logic is presented here as part of familiar classical logic which allows mechanical extraction of programs from proofs. to make the material more accessible, basic techniques are presented first for propositional logic; Part II contains extensions to predicate logic. This material provides an introduction and a safe background for reading research literature in logic and computer science as well as advanced monographs. Readers are assumed to be familiar with basic notions of first order logic. One device for making this (...) book short was inventing new proofs of several theorems. The presentation is based on natural deduction. The topics include programming interpretation of intuitionistic logic by simply typed lambda-calculus (Curry-Howard isomorphism), negative translation of classical into intuitionistic logic, normalization of natural deductions, applications to category theory, Kripke models, algebraic and topological semantics, proof-search methods, interpolation theorem. The text developed from materal for several courses taught at Stanford University in 1992-1999. (shrink)

We show how to correct the analytic tableaux system from the paper Olkhovikov and Wansing, 259–279, 2018).

A Short Introduction to Modal Logic presents both semantic and syntactic features of the subject and illustrates them by detailed analyses of the three best-known modal systems S5, S4 and T. The book concentrates on the logical aspects of ...

We introduce a basic intuitionistic conditional logic \(\textsf{IntCK}\) that we show to be complete both relative to a special type of Kripke models and relative to a standard translation into first-order intuitionistic logic. We show that \(\textsf{IntCK}\) stands in a very natural relation to other similar logics, like the basic classical conditional logic \(\textsf{CK}\) and the basic intuitionistic modal logic \(\textsf{IK}\). As for the basic intuitionistic conditional logic \(\textsf{ICK}\) proposed in Weiss (_Journal of Philosophical Logic_, _48_, 447–469, 2019 ), \(\textsf{IntCK}\) (...) extends its language with a diamond-like conditional modality \(\Diamond \hspace{-4.0pt}\rightarrow \), but its ( \(\Diamond \hspace{-4.0pt}\rightarrow \) )-free fragment is also a proper extension of \(\textsf{ICK}\). We briefly discuss the resulting gap between the two candidate systems of basic intuitionistic conditional logic and the possible pros and cons of both candidates. (shrink)

In addition to double‐ and single‐strand DNA breaks and isolated base modifications, ionizing radiation induces clustered DNA damage, which contains two or more lesions closely spaced within about two helical turns on opposite DNA strands. Post‐irradiation repair of single‐base lesions is routinely performed by base excision repair and a DNA strand break is involved as an intermediate. Simultaneous processing of lesions on opposite DNA strands may generate double‐strand DNA breaks and enhance nonhomologous end joining, which frequently results in the formation (...) of deletions. Recent studies support the possibility that the mechanism of base excision repair contributes to genome stability by diminishing the formation of double‐strand DNA breaks during processing of clustered lesions. BioEssays 23:745–749, 2001. © 2001 John Wiley & Sons, Inc. (shrink)

The purpose of the article is to substantiate the main theoretical and methodological provisions of museology as a humanitarian science. Its basic concepts are formulated from idealistic positions, its methodology is defined. As an object, the ideas of a person who creates a museum reality to achieve influence on the consciousness of other people are considered. The idea of a particular museum, realized in objective reality, is defined as the subject. The subject of museology is also the process of realization (...) of ideas – the functioning of museum reality and the process of its perception by visitors. The purpose of the museum is to make certain changes in the consciousness and attitude of another person – a visitor. The methodology of museology as a humanitarian science is based on the method of understanding, which provides comprehension of the ideas underlying the museum. Methods play a special role: communicative and construction. The goals of the museum determine its functions, the most important is the communicative one, it is she who realizes the main goal of the museum – to convey ideas and feelings from the museum employee to the visitor. The ways to achieve the goal may change with changing attitudes in society, while the museums themselves and their functions change. The main factor determining the role and social significance of museums is a person's interest in them, which manifests itself when the ideas embedded in their foundation correspond to the main ideological ideas prevailing in society and help people solve their vital problems. A museum should be relevant only when it plays an important role in the life of society. The next stage in the development of museology as a humanitarian science is its approbation in the course of solving scientific and practical tasks facing a museum employee. (shrink)

Our thinking is still the captive of the dichotomy “national/ international.” The reaction to nationalism takes the form of an abstract internationalism, and reaction to internationalism leads to the rebirth of nationalism. However, this dichotomy was only true (and that relatively) in 19th century Europe, or at the latest, at the beginning of the twentieth century, when subnational cultures seemed on the way to disappearing, and everything European was considered “universal” (two hypotheses that the facts prove to be untrue). As (...) H. Frey observes, “Today, the decline or decadence of the West is part of the contemporary view of the world, like the electron or the dinosaur.” The linear outline of progress, with Europe at the head, did not withstand the test of the First World War. The year 1918 marked the beginning of the end of Europeanism. Since then, we have begun to speak of “areas of civilization” (Splengler), “civilizations” (Toynbee), “cultural coalitions” (Lévi-Strauss). The existence of “areas of civilization” (regions) is commonly admitted today; it has entered journalistic language and even the structure of regional commissions and agencies of the United Nations (Europe, Near East, Southern Asia, South-east Asia, and the Far East). New communities have inserted themselves between nations and humanity. What do they represent? Are they something unique, or are they divided into a certain number of types in opposition to each other because of some characteristic? And in what way have they modified our view of universal history? (shrink)

A non-effective cut-elimination proof for modal mu-calculus has been given by G. Jäger, M. Kretz and T. Studer. Later an effective proof has been given for a subsystem M 1 with non-iterated fixpoints and positive endsequents. Using a new device we give an effective cut-elimination proof for M 1 without restriction to positive sequents.

The increasingly foreshortening of bioethics known as narrative and even literary bioethics is analyzed in article. This analysis is realized on the material of Rudyard Kipling’s story «The miracle of Purun Bhagat». Deconstruction in its ethical aspect comes out in this case as method of the overcoming of logocentrism and becomes radicalization of ethics. The talk is about consideration of bioethics not simply as the science of survival but as radical ethics of the salvation of life. The text of the (...) story is interpreted as pharrmacon, remedy, sure remedy for human consciousness, society and nature. The result of the analysis is the idea of the consideration of conservative bioethics as radical ethics of salvation and science about spiritual-moral essence of human. This essence is consciousness, which is always moral consciousness in contradiction to intellect deprivated of moral dimension and leading humankind on the way of catastrophic progress to transhumanistic, posthuman future. (shrink)

Meaning is not a ready-made entity found in dictionaries as signified by a language sign, but rather something which is manufactured through a sense-positing procedure that starts with an initial i...

A simple cut elimination proof for arithmetic with the epsilon symbol is used to establish the termination of a modified epsilon substitution process. This opens a possibility of extension to much stronger systems.

In this paper we consider logical inference as an activity that results in proofs and hence produces knowledge. We suggest to merge the semantical analysis of deliberatively seeing-to-it-that from stit theory and the semantics of the epistemic logic with justification from. The general idea is to understand proving that A as seeing to it that a proof of A is available. We introduce a semantics of various notions of proving as an activity and present a number of valid principles that (...) relate the various notions of proving to each other and to notions of justified knowledge, implicit knowledge, and possibility. We also point out and comment upon certain principles our semantics fails to validate. (shrink)

The epsilon substitution method was proposed by D. Hilbert as a tool for consistency proofs. A version for first order predicate logic had been described and proved to terminate in the monograph “Grundlagen der Mathematik”. As far as the author knows, there have been no attempts to extend this approach to the second order case. We discuss possible directions for and obstacles to such extensions.

Vladimir Aleksandrovich Smirnov was born on March 2, 1931. He graduated from Moscow State University in 1954. From 1957 till 1961 he was a lecturer in philosophy and logic at the Tomsk University. Since 1961 his scientific activity continued in Moscow at the Institute of Philosophy of Academy of Sciences of the USSR. From 1970 and till the last days of his life V. A. Smirnov was lecturer and then Professor at the Chair of Logic at Moscow State (...) University. V. A. Smirnov played an important role at the Institute of Philosophy of Russian Academy of Sciences being the Head of Department of Epistemology, Logic and Philosophy of Science and Technology, and the Head of Section of Logic. Last years he was the leader of the Centre of Logical Investigations of Russsian Academy of Sciences. In 1990-91 he founded a new non-goverment Institute of Logic, Cognitive Sciences and Development of Personality for performing research, teaching, editorial and organization activity in the field of humanities. At the Department of Philosophy of Moscow State University and at the Institute of Philosophy V. A. Smirnov and his close colleagues have founded a Russian logical school which brought up many talented researchers who work at several scientific centres in various countries. (shrink)

We present a survey of proof theory in the USSR beginning with the paper by Kolmogorov [1925] and ending (mostly) in 1969; the last two sections deal with work done by A. A. Markov and N. A. Shanin in the early seventies, providing a kind of effective interpretation of negative arithmetic formulas. The material is arranged in chronological order and subdivided according to topics of investigation. The exposition is more detailed when the work is little known in the West or (...) the original presentation can be improved using notions or results which appeared later. This includes such topics as Novikov's cut-elimination method (regular formulas) and Maslov's inverse method for the predicate logic. (shrink)

Ackermann proved termination for a special order of reductions in Hilbert's epsilon substitution method for the first order arithmetic. We establish termination for arbitrary order of reductions.

The completeness of the modal logic S4 for all topological spaces as well as for the real line , the n-dimensional Euclidean space and the segment etc. was proved by McKinsey and Tarski in 1944. Several simplified proofs contain gaps. A new proof presented here combines the ideas published later by G. Mints and M. Aiello, J. van Benthem, G. Bezhanishvili with a further simplification. The proof strategy is to embed a finite rooted Kripke structure for S4 into a subspace (...) of the Cantor space which in turn encodes . This provides an open and continuous map from onto the topological space corresponding to . The completeness follows as S4 is complete with respect to the class of all finite rooted Kripke structures. (shrink)

Summing up the ideas expressed in the most influential articles on the semantic halo of the Russian trochaic pentameter, scholars tend to avoid one particularly tricky question: how many units – and what kind of units – are needed to detect extra layers of meaning in a particular text? While the article of Kiril Taranovsky “О взаимоотношении стихотворного ритма и тематики” had implied that the source of these meanings (e.g. the dynamic theme of the journey) should be sought in a (...) line starting from the 3- to 4-syllable structure, incorporating a verb of motion and an anapestic anacrusis (Выхожу [verb of motion, last syllable stressed] один я на дорогу), later research objected to this principle as an oversimplification. At the same time two later contributions on the subject (Kirill Vishnevsky’s “Экспрессивный ореол пятистопного хорея” and Mikhail Gasparov’s “The semantic halo of the Russian trochaic pentameter: Thirty years of the problem”) proposed the idea of operating with whole texts as potential sources of meanings, thus calling into question a micro-level approach to the origin of the phenomenon. In my article I propose an empirical model that makes it possible to evaluate some limitations of both practices: I concentrate on some quasi-trochaic pentameters culled from the prose text of Подвиг (Glory) by Vladimir Nabokov (Sirin), and examine these quasi-verse incidents in the framework of both approaches. (shrink)

Freud's legacy deriving from his work The project for a scientific psychology (1895) could give a new impetus to the dialogue between psychoanalysis and neurosciences. A rapproachment phase is warrented. Based on the work of psychoanalysts who are themselves neuroscientists (such as Mauro Mancia, Martha Koukkou and Harold Shevrin) or have a long term dialogue with neuroscientists (Arnold Modell), three points of epistemological congruence are described: dualism is no longer a satisfactory solutioncautions for the centrality of interpretation (hermeneutics)the self-criticism of (...) neuroscientists. (shrink)

This article will formulate an explanatory model in which all the specifics of the controversy between Rome and Constantinople in the schism of 1054 will be considered in theological and ecclesiastical-political terms. Thus, both the complexity of the historical context and the diversity of the motives of its protagonists will be taken into account. In a first step, the current state of research on the events of 1054 will be presented, before confronting it with open questions in a second step. (...) They are derived partly from the historical context, partly from the ambivalent information conveyed by Latin and Greek sources. The latter entails several source-critical problems, but thereby offers a chance to pose new questions to „old“ sources. Based on these open questions, the sources will be re-read and re-interpreted in terms of determining the course of events in 1054 and the motives of the protagonists of the 1054 schism. (shrink)