This volume is written jointly by Witold Marciszewski, who contributed the introductory and the three subsequent chapters, and Roman Murawski who is the author of the next ones - those concerned with the 19th century and the modern inquiries into formalization, algebraization and mechanization of reasonings. Besides the authors there are other persons, as well as institutions, to whom the book owes its coming into being. The study which resulted in this volume was carried out in the Historical Section (...) of the research project _Logical Systems and Algorithms for Automatic Testing of Reasoning,_ 1986-1990, in which participated nine Polish universities; the project was coordinated by the Department of Logic, Methodology and Philosophy of Science of the Bia??l??ystok Branch of the University of Warsaw, and supported by the Ministry of Education 1987). The major part of the project was focussed on the software for computer-aided theorem proving called Mizar MSE ) due to Dr. Andrzej Trybulec. He and other colleagues deserve a grateful mention for a hands-on experience and theoretical stimulants owed to their collaboration. (shrink)

Ethnonationalist movements have gained ground over the past decade in the U.S., Europe, India, and elsewhere. What is the appeal of ethnonationalism and where does it go wrong? On some views, the ethnonationalist’s mistake lies in ignorance: he takes identity to be established by some essential core, and the solution lies in education in history and racial genetics, allowing him to see that his essentialism rests on error. While this response is helpful to a point, I propose that the essentialism (...) that drives ethnonationalism is itself a project, founded on the need for meaning, and that the mistake lies not primarily in understanding the basis of identities, but in understanding how meaning is possible for us. In Part 1, I distinguish between the different kinds of reasons that might be called “reasons of identity” and argue that only some of them properly fall under that label. While identities can sometimes provide reasons for action, at other times they function by reinforcing reasons that have other sources, including a recognition of freedom. In Part 2 I develop an account of a core aspect of identity: identification. Here I argue that our identities are constituted by the acceptance of projects aimed at satisfying our need for meaning in life, and that projects aimed at freedom are best suited to that need. In Part 3, I demonstrate that the projects at the core of ethnonationalism prioritize reasons of identity over reasons of freedom. Because identities are products of freedom, they are unstable; in order to draw on them as a source of normativity, the ethnonationalist aims to provide them with stability by insulating them from others. But in so doing, the ethnonationalist undermines his ability to find meaning. (shrink)

Starożytne teksty judaizmu jasno opisują rozwarstwienie społeczne Izraela i wynikające z tego uwarunkowania religijne. Sposoby i możliwości realizacji religijnej w zależności od pochodzenia określa szczególnie wyraźnie judaizm rabiniczny. Wyższy status społeczny zapewniał większe możliwości samorealizacji religijnej, ale zobowiązywał też do większej odpowiedzialności wobec Boga i społeczności, nakładał również inne obowiązki w zależności od pochodzenia społecznego. Istotę judaizmu rabinicznego, zwanego także talmudycznym od głównego jego dzieła – Talmudu, określa Miszna, stanowiąca obok Gemary, jego zasadniczą i pierwszą część. Miszna zgodnie z jej (...) przeznaczeniem wskazuje sposób życia, który można by ogólnie określić mianem religijnego. Opisuje zarazem życie społeczno-religijne starożytnego Izraela sprzed czasu jej spisania, sięgając niekiedy nawet kilka wieków wstecz. (shrink)

Models are of central importance in many scientific contexts. The roles the MIT bag model of the nucleon, the billiard ball model of a gas, the Bohr model of the atom, the Gaussian-chain model of a polymer, the Lorenz model of the atmosphere, the Lotka- Volterra model of predator-prey interaction, agent-based and evolutionary models of social interaction, or general equilibrium models of markets play in their respective domains are cases in point.

We show that the stabilizer of an element a of a countable recursively saturated model of arithmetic M is a maximal subgroup of Aut iff the type of a is selective. This is a point of departure for a more detailed study of the relationship between pointwise and setwise stabilizers of certain subsets of M and the types of elements in those subsets. We also show that a complete type of PA is 2-indiscernible iff it is minimal in the sense (...) of Gaifman. (shrink)

This note concerns the ultraproduct construction. It is observed that in the class of SCI models ultraproducts may be constructed by a method apparently dierent from the standard one. Since the standard models of veryday model theory form a subclass of SCI models, one obtains a new view of ultraproducts. Aside from a few remarks, the paper is self-contained.

Consider a gas that is adiabatically isolated from its environment and confined to the left half of a container. Then remove the wall separating the two parts. The gas will immediately start spreading and soon be evenly distributed over the entire available space. The gas has approached equilibrium. Thermodynamics (TD) characterizes this process in terms of an increase of thermodynamic entropy, which attains its maximum value at equilibrium. The second law of thermodynamics captures the irreversibility of this process by positing (...) that in an isolated system such as the gas entropy cannot decrease. The aim of statistical mechanics (SM) is to explain the behavior of the gas and, in particular, its conformity with the second law in terms of the dynamical laws governing the individual molecules of which the gas is made up. In what follows these laws are assumed to be the ones of Hamiltonian classical mechanics. We should not, however, ask for an explanation of the second law literally construed. This law is a universal law and as such cannot be explained by a statistical theory. But this is not a problem because we.. (shrink)

Character and the will are rarely discussed together. At most, philosophers working on the one mention the other in an eliminativist vein—if character is represented as something chosen, for example, it can be chalked up to the work of the will; if the will consists merely of a certain arrangement of mental states, it can be seen as little more than a manifestation of character. This mutual neglect appears perfectly justified. If both character and will are determinants of action, to (...) treat them separately would be to overdetermine agency at best, and at worst to fragment it. While defending this reasoning, I argue that things are not so simple, because character and will serve distinct explanatory and normative functions, respectively. The difference in function, however, does not prove that character and will must be ontologically distinct sources of agency; only that our discourse about them must keep them apart. (shrink)

The paper is devoted to the discussion of some philosophical and historical problems connected with the theorem on the undefinability of the notion of truth. In particular the problem of the priority of proving this theorem will be considered. It is claimed that Tarski obtained this theorem independently though he made clear his indebtedness to Gödel’s methods. On the other hand, Gödel was aware of the formal undefinability of truth in 1931, but he did not publish this result. Reasons for (...) that are also considered. (shrink)

Consider the claim: Our actions are free if and only if we could have done otherwise; or the claim, We are essentially mental substances because we can exist without our bodies. Both of these claims, along with countless others, employ a notion of possibility. If this notion is to have a place in philosophy, we must be able to justify our modal claims. We need an epistemology of possibility. It is often assumed that the imagination is the key here. The (...) assumption is this; if I can imagine that a proposition is the case, then p is possible. Suppose I am wondering whether Kant Critique could float above my desk; if I can imagine this book floating, then it is possible. But is the imagination a guide to the modal status of propositions? ;To answer this question we must first consider what it is to imagine a proposition. We can distinguish five main methods of imagining: to imagine is to form a mental image, to evoke experiences, to suppose, to pretend, or it is to tell a story. Can any of these methods provide us with a guide to possibility? I contend that only the last two methods are up to this task insofar as they provide us with evidence of p's modal status. Moreover, how good that evidence is depends on our ability to satisfy the requirements of completeness, coherence, and accuracy. Finally, I argue that we will have the best evidence for the possibility of p, if we combine these two methods. For by combining our evoked experiences with a story, we will generate experiences of p, the best possible explanation of a world in which p is true, and an account of p's truth that complements this explanation. Thus, given explanationist standards, we will have what we need to be justified in concluding that p is possible. (shrink)

According to J=K, only beliefs that qualify as knowledge are epistemically justified. Traditionalists about justification have objected to this view that it predicts that radically deceived subjects do not have justified beliefs, which they take to be counter-intuitive. In response, proponents of J=K have argued that traditionalists mistake being justified with being excused in the relevant cases. To make this response work, Timothy Williamson has offered a dispositional account of excuse which has recently been challenged by Jessica Brown. She has (...) presented cases in which Williamson’s account excuses subjects believing things in an epistemically reckless fashion. To steer clear of Brown’s counterexamples, I argue for a modification of Williamson’s account that employs a more fine-grained notion of the dispositions involved. (shrink)

There are many ontologies of the world or of specific phenomena such as time, matter, space, and quantum mechanics1. However, ontologies of information are rather rare. One of the reasons behind this is that information is most frequently associated with communication and computing, and not with ‘the furniture of the world’. But what would be the nature of an ontology of information? For it to be of significant import it should be amenable to formalization in a logico-grammatical formalism. A candidate (...) ontology satisfying such a requirement can be found in some of the ideas of K. Turek, presented in this paper. Turek outlines the ontology of information conceived of as a part of nature, and provides the ‘missing link’ to the Z axiomatic set theory, offering a proposal for developing a formal ontology of information both in its philosophical and logicogrammatical representations. (shrink)

We develop multi-conclusion nested sequent calculi for the fifteen logics of the intuitionistic modal cube between IK and IS5. The proof of cut-free completeness for all logics is provided both syntactically via a Maehara-style translation and semantically by constructing an infinite birelational countermodel from a failed proof search. Interestingly, the Maehara-style translation for proving soundness syntactically fails due to the hierarchical structure of nested sequents. Consequently, we only provide the semantic proof of soundness. The countermodel construction used to prove completeness (...) required a completely novel approach to deal with two independent sources of non-termination in the proof search present in the case of transitive and Euclidean logics. (shrink)

Looking into the future is always a risky endeavour, but one way to anticipate the possible future shape of AI-driven societies is to examine the visionary works of some sci-fi writers. Not all sci-fi works have such visionary quality, of course, but some of Stanisław Lem’s works certainly do. We refer here to Lem’s works that explore the frontiers of science and technology and those that describe imaginary societies of robots. We therefore examine Lem’s prose, with a focus on the (...) Cyberiad stories, to see what challenges our future technological societies may face when they entrust their lives to AI technology. For example, what questions should we ask, and what questions do we forget to ask, when developing AI systems and allowing these systems to control our lives. The technologically honed minds of our current technocrats are perhaps too limited to guide us into this future, because AI-based technology is relatively unchartered territory, as any new, complex technology is by nature. Lem’s visions of future societies oriented around AI and robotics portray AI technology in a deeper and more nuanced way than the current technological visions offered by our leading technological prophets. Based on Lem’s visions, what is to come may not turn out to be an AI-driven nirvana. (shrink)

We prove that the two-variable fragment of first-order intuitionistic logic is undecidable, even without constants and equality. We also show that the two-variable fragment of a quantified modal logic L with expanding first-order domains is undecidable whenever there is a Kripke frame for L with a point having infinitely many successors (such are, in particular, the first-order extensions of practically all standard modal logics like K, K4, GL, S4, S5, K4.1, S4.2, GL.3, etc.). For many quantified modal logics, including those (...) in the standard nomenclature above, even the monadic two-variable fragments turn out to be undecidable. (shrink)

The migration of artificial intelligence (AI) researchers from academia to industry has recently sparked concerns about its implications for scientific progress. Can academia retain enough talent to shape AI advancements and counterbalance the growing influence of corporate AI labs? Analyzing OpenAlex data, we find a significant transition of premier talent to industry roles over the past decade, particularly to major tech firms. Young, highly cited scholars from leading institutions are the most likely to make this move. Following the transition, their (...) research tends to show reduced novelty and impact. This industry-dominant shift in AI research highlights worries of an “AI brain drain”, the sidelining of exploratory science for commercial interests, and the potential misalignment with societal goals. (shrink)

The article describes the results of the Russian-Ukrainian conflict and its impact on the depreciation of the national currency, the deepening of the banking crisis, the impossibility of the state budget execution and overcome the energy crisis. The estimation and forecast of economic condition of the state, depending on the effectiveness of the Government in overcoming the consequences of the conflict. Perspective directions of development of economy of Ukraine and the occupied territories in the context of political instability. Proved lasting (...) political and diplomatic confrontation; violated basic agreements and arrangements; actually destroyed the institutional system of international relations; exacerbated economic, energy continues confrontation. In general, current realities make it hard to talk about change for the better in the foreseeable future. During the investigation the devastating impact of military confrontation to the public and economic life. The attention to the existence of isolated problems for decades and their deterioration in conditions of political instability. (shrink)

Some initial considerations on film in documentary form are discussed, along with its relationships with reality and fiction in cinema language. Found footage genre is explained, pointing its most important technical and aesthetical characteristics. The text points the importance of the movie camera in documentary and found footage, not only as a technical device that objectivizes the information in a static manner, but also as an axis that configures dynamism and subjectivity on films. Redacted (2007) by Brian De Palma is (...) analyzed as an example of hybrid forms of fiction and reality in cinema. Beyond a traditional analysis of narrative of films, this text emphasizes the forms in which they are developed, which affect and determine the substance of films. (shrink)

Parece que Platón enseñó en la Academia otras doctrinas diferentes de las expuestas por él en los diálogos. Además, parece también que voluntariamente se abstuvo de consignarlas por escrito al creer que la palabra, la enseñanza oral, era un medio más eficaz que la escritura para transmitir aquello que "tenía importancia". Dicho así, puede resultar una paradoja que el mejor prosista griego, sea un detractor, al menos en parte, de la prosa escrita. A partir de aquí, las interpretaciones novedosas que (...) han provocado las doctrinas no-escritas de Platón han generado debates a veces imposibles de resolver. Añadir unas breves notas a estas discusiones es la intención de este artículo. (shrink)

Among the main theorems obtained in mathematical logic in this century are the so called limitation theorems, i.e., the Löwenheim-Skolem theorem on the cardinality of models of first-order theories, Gödel’s incompleteness theorems and Tarski’s theorem on the undefinability of truth. Problems connected with the latter are the subject of this paper. In Section 1 we shall consider Tarski’s theorem. In particular the original formulation of it as well as some specifications will be provided. Next various meanings of the notion of (...) a satisfaction predicate will be studied. In Section 2 the problem of definability of the notion of truth, in particular of the notion of truth for the language of Peano arithmetic PA, will be discussed. It will be explicitly shown that the notion of satisfaction for the language of PA can be defined in a certain weak fragment of the second order arithmetic. Finally the axiomatic characterization of satisfaction and truth as well and its mathematical and philosophical meaning will be discussed. (shrink)

Le maintien des relations parent-enfant en prison représente un véritable défi au regard des différentes formes d’empêchement – véritable mise en suspens de la parentalité – auxquels se trouvent confrontés les parents détenus et les enfants ainsi que leurs accompagnants. Membre d’une recherche inter-disciplinaire (droit et psychologie), menée en France dans trois établissements pénitentiaires en appui sur des questionnaires et la conduite de focus-groups, l’auteur met en évidence, au travers d’une approche clinique psychodynamique, la tension qui s’exerce entre les attentes (...) exprimées par les parents détenus à l’égard de leurs enfants et la disqualification dont leur lien est l’objet, en raison du vécu des conditions de détention et d’accueil des enfants ainsi que de l’accès à la prison des personnes qui, de l’extérieur, sont en mesure de soutenir les relations parent-enfant (conjoint ou ex-conjoint, famille...). (shrink)

We prove a number of results concerning the variety of first-order theories and isomorphism types of pairs of the form $(N,M)$ , where $N$ is a countable recursively saturated model of Peano Arithmetic and $M$ is its cofinal submodel. We identify two new isomorphism invariants for such pairs. In the strongest result we obtain continuum many theories of such pairs with the fixed greatest common initial segment of $N$ and $M$ and fixed lattice of interstructures $K$ , such that $M\prec (...) K\prec N$. (shrink)

We discuss Robinson's model theoretic proof of Tarski's theorem on undefinability of truth. We present two other “diagonal-free” proofs of Tarski's theorem, and we compare undefinability of truth to other forms of undefinability in nonstandard models of arithmetic.