We define and investigate from a logical point of view a family of consequence relations defined in probabilistic terms. We call them relations of supporting, and write: |≈w where w is a probability function on a Boolean language. A |≈w B iff the fact that A is the case does not decrease a probability of being B the case. Finally, we examine the intersection of |≈w, for all w, and give some formal properties of it.

In 1953, exactly 50 years ago to this day, the first volume of Studia Logica appeared under the auspices of The Philosophical Committee of The Polish Academy of Sciences. Now, five decades later the present volume is dedicated to a celebration of this 50th Anniversary of Studia Logica. The volume features a series of papers by distinguished scholars reflecting both the aim and scope of this journal for symbolic logic.

In the paper, the authors discuss two kinds of consequence operations characterized axiomatically. The first one are consequence operations of the type Cn + that, in the intuitive sense, are infallible operations, always leading from accepted (true) sentences of a deductive system to accepted (true) sentences of the deductive system (see Tarski in Monatshefte für Mathematik und Physik 37:361–404, 1930, Comptes Rendus des Séances De la Société des Sciences et des Lettres de Varsovie 23:22–29, 1930; Pogorzelski and Słupecki in Stud (...) Logic 9:163–176, 1960, Stud Logic 10:77–95, 1960). The second kind are dual consequence operations of the type Cn − that can be regarded as anti-infallible operations leading from non-accepted (rejected, false) sentences of a deductive system to non-accepted (rejected, false) sentences of the system (see Słupecki in Funkcja Łukasiewicza, 33–40, 1959; Wybraniec-Skardowska in Teoria zdań odrzuconych, 5–131, Zeszyty Naukowe Wyższej Szkoły Inżynierskiej w Opolu, Seria Matematyka 4(81):35–61, 1983, Ann Pure Appl Logic 127:243–266, 2004, in On the notion and function of rejected propositions, 179–202, 2005). The operations of the types Cn + and Cn − can be ordinary finitistic consequence operations or unit consequence operations. A deductive system can be characterized in two ways by the following triple: $$\begin{array}{ll}{\rm by\,the\,triple}:\hspace{1.4cm} (+ , -)\hspace{0,6cm} \\ {\rm or\,by\,the\,triple}:\hspace{1.0cm} (-, +)\hspace{0,6cm} .\end{array}$$ We compare axiom systems for operations of the types Cn + and Cn −, give some methodological properties of deductive systems defined by means of these operations (e.g. consistency, completeness, decidability in Łukasiewicz’s sense), as well as formulate different metatheorems concerning them. (shrink)

We formulate a cosmogonic indifference principle in cosmology in terms of a dynamical system theory. While the choice between generic and fine tuned initial condition for our Universe has a rather philosophical character, there is a very generic set of initial conditions which give rise to the concordance inflectional ΛCDM model which becomes in good agreement with astronomical observations.

The article proposes some extension of the concept of reasoning that includes also operations on interrogative sentences and imperative sentences , or rather on their contents — interrogations and prescriptions. Key words REASONING.

This book discusses the legal thought of Bronislaw Malinowski (1884-1942), undoubtedly one of the titans of social sciences who greatly influenced not only the shape of modern cultural anthropology but also the social sciences as a whole. This is the first comprehensive work to focus on his legal conceptions: while much has been written about his views on language, magic, religion, and culture, his views on law have not been fairly reconstructed or recapitulated. A glance at the existing literature illustrates (...) how little has been written about Malinowski's understanding of law, especially in the legal sciences. This becomes even more evident given the fact that Malinowski devoted much of his scholarly work to studying law, especially in the last period of his life, during which he conducted broad research on law and "primitive jurisprudence". The main aim of this book is to address this gap and to present in detail Malinowski's thoughts on law. This book is divided into two parts. Part I focuses largely on the impact that works of two distinguished professors from his alma mater (L. Dargun and S. Estreicher) had on Malinowski's legal thoughts, while Part II reconstructs Malinowski's inclusive, broad and multidimensional understanding of law and provides new readings of his legal conceptions mainly from the perspective of reciprocity. The book offers a fresh look at his views on law, paving the way for further studies on legal issues inspired by his methodological and theoretical achievements. Malinowski's understanding of law provides a wealth of fodder from which to formulate interesting research questions and a solid foundation for developing theories that more accurately describe and explain how law functions, based on new findings in the social and natural sciences. (shrink)

Economic growth is mostly explained by investments and employment growth. Since the mid 1990s various social categories have been introduced into the economic growth analysis such as trust, crime and income inequality etc. According to sociology and psychology, it is the family that constitutes interpersonal ties and is an indicator of happiness and quality of life. It can be said that happy people better fulfil their social roles and also work better. We set a hypothesis that the family ties have (...) an influence on economic growth. More precisely: the more divorces (compared to newly couples), the slower economic growth. This hypothesis was confirmed in an analysis of Poland’s economy in the years 1967–2006. Due to the disintegration of family ties measured by the above mentioned divorce rate Poland’s annual economic growth was slowed by about a 0.6 percentage point on average. This estimation is based on a GDP growth model which, along with the divorce rate, also includes employment dynamics, invest rate and crime rate. (shrink)

The autor undertakes reflection on philosophy in context of Ludwig Wittgenstein statement that “the work of the philosopher consists in assembling reminders for a particular purpose”. He points out that it is a kind of activity that is specific for human beings and has a moral dimension.

The Polish society has perceived privatization as an issue of special importance which enables a free market economy in a short time. Privatization has always raised hopes and expectations. It is the lack of experience in the field of ownership transformations, the level of their complexity and the economic, legal, psychological and other conditionings that have confronted those transformations with many hindrances. They have also raised numerous moral and ethical dilemmas among the staff of privatized companies and founding organs including (...) the staff of the Voivodship Council of Łódź. The decisions of the Working Board of one company about the future path of privatization have raised concerns among the staff uncertain of the fate of their place of work. In such cases the voice of the staff, which previously contributed to the company’s financial status, has always been decisive when choosing the path of privatization; this concerns mostly workers’ partnerships. It was John Paul II’s words about people of conscience who are needed in Poland, which were said in Skoczów, that were crucial for privatization decisions by the Voivodship Council of Łódź. (shrink)

In this article, on the basis of questionnaire data collected for other purposes, the Authors want to show the consequences of various methods of shortening of tests and what may result from such an action for diagnosticians, researchers and examined individuals. The research aim of the work is to show the best method of shortening of the scale of questionnaires. Will shortening of a questionnaire according to different statistical techniques bring the same results? Will the quality of shortened scales be (...) comparable? Is any of statistical techniques better for shortening of the scale of a questionnaire? The obtained results suggest a poorly controlable effect of the methods of questionnaire shortening. Moreover creating a short version on the basis of the results collected with the use of the full version leads to obtaining a tool with unknown diagnostic and psychometric properties. (shrink)

The objective of this paper is to examine whether the category of affordances and the potential mechanisms governing their actualization can offer a valuable framework for a deeper understanding of mental disorders, particularly addiction. In recent years, the category of affordances has been applied in analyzing schizophrenia, depression, or obsessive-compulsive disorder (OCD). In the paper we concentrate on substance use disorder (SUD) and argue that it can be characterized in terms of reshaping the field of affordances and an inability to (...) inhibit inappropriate affordances. To support this approach, we refer to the neuronal mechanism (involving the cortico-subcortical loops (CSL)) that is responsible for decision-making and action choice as part of a continuous competition between possible patterns of interaction with the environment. In the context of addiction, this mechanism is impaired, resulting in disruptions to motor, emotional, and cognitive functions, including decision-making. The adopted perspective allows the study of addiction to include descriptions at the sub-personal, personal, and supra-personal levels, which addresses both phenomenological descriptions of people with SUD and the neural mechanisms behind them. Moreover, this perspective has potential applications in various therapeutic strategies. (shrink)

Izydora Dąmbska was one of the most creative women-representatives of the Lvov-Warsaw School. The paper presents her extraordinary personality, life, as well as the list of her main works and the greatest scientific achievements. The main area of her interest was the logic of natural language, methodology and the history of Greek semiotics. She gave meticulous analysis of the relation between conventionalism on one hand, and relativism, scepticism and agnosticism on the other. In semiotics, she proposed new approach to the (...) problem of empty names and material implication, of the correct definition of truth, as well as of pragmatic functions of silence and namelessness. In methodology, her reconstruction of the notion of scientific laws is of great importance. (shrink)

The volume contains almost thirty papers by Kazimierz Twardowski, the founder of the Lvov-Warsaw School. The papers are published in English for the first time. The papers concern fundamental problems of philosophy: the methods of philosophizing, the boundary of psychology and semiotics, the conceptual apparatus of metaphysics, ethical skepticism, the question of free will and ethical obligation, the aesthetics of music and so on. The systematic considerations are complemented by concise but excellent sketches of the philosophical views of Socrates, Aquinas, (...) Leibniz, Spencer, Nietzsche, and Bergson. (shrink)

An ability to accurately recognize negative emotions in others can initiate pro-social behavior and prevent anti-social actions. Thus, it remains of an interest of scholars studying effects of violent video games. While exposure to such games was linked to slower emotion recognition, the evidence regarding accuracy of emotion recognition among players of violent games is weak and inconsistent. The present research investigated the relationship between violent video game exposure and accuracy of negative emotion recognition. We assessed the level of self-reported (...) VVGE in hours per day and the accuracy of the recognition using the Facial Expressions Matching Test. The results, with adolescents and with adults, showed that VVGE was negatively related to accurate recognition of negative emotion expressions, even if controlled for age, gender, and trait empathy, but no causal direction could be assessed. In line with the violent media desensitization model, our findings suggest that higher self-reported VVGE relates to lower recognition of negative emotional expressions of other people. On the one hand, such lower recognition of negative emotions may underlie inaccurate reactions in real-life social situations. On the other hand, lower sensitivity to social cues may help players to better focus on their performance in a violent game. (shrink)

The book written by top experts in CI provides such clear directions and the much-needed focus on the most important and challenging research issues, showing a ...

Designed to help nursing students prepare for the NCLEX-RN licensure exam, the third edition of this exam assesses their knowledge and abilities before they take the Boards. The AssessTest is comprised of 265 questions that reflect the stand-alone format and distribution of content according to the NCLEX-RN test plan. A detailed computer evaluation analyses individual strengths and weaknesses to help students plan study time more effectively.

Jacek Urbaniec: Platonism in the philosophy of mathematics does not necessarily imply that there are links between the temporal physical world and the eternal world of mathematics..

The notion of implicit commitment has played a prominent role in recent works in logic and philosophy of mathematics. Although implicit commitment is often associated with highly technical studies, it remains an elusive notion. In particular, it is often claimed that the acceptance of a mathematical theory implicitly commits one to the acceptance of a Uniform Reflection Principle for it. However, philosophers agree that a satisfactory analysis of the transition from a theory to its reflection principle is still lacking. We (...) provide an axiomatization of the minimal commitments implicit in the acceptance of a mathematical theory. The theory entails that the Uniform Reflection Principle is part of one’s implicit commitments, and sheds light on why this is so. We argue that the theory has significant epistemological consequences in that it explains how justified belief in the axioms of a theory can be preserved to the corresponding reflection principle. The theory also improves on recent analyses of implicit commitment based on truth or epistemic notions. (shrink)

The purpose of the paper is to rethink the role of actuality in the branching model of possibilities. We investigate the idea that the model should be enriched with an additional factor—the so-called Thin Red Line—which is supposed to represent the single possible course of events that gets actualized in time. We believe that this idea was often misconceived which prompted some unfortunate reactions. On the one hand, it suggested problematic semantic models of future tense and and on the other, (...) it provoked questionable lines of criticism. We reassess the debate and point to potential pitfalls, focusing on the semantic dimension of the Thin Red Line theory. Our agenda transcends the semantics, however. We conclude that semantic considerations do not threaten the Thin Red Line theory and that the proper debate should be carried in the domain of metaphysics. (shrink)

Boolean connexive logic is an extension of Boolean logic that is closed under Modus Ponens and contains Aristotle’s and Boethius’ theses. According to these theses a sentence cannot imply its negation and the negation of a sentence cannot imply the sentence; and if the antecedent implies the consequent, then the antecedent cannot imply the negation of the consequent and if the antecedent implies the negation of the consequent, then the antecedent cannot imply the consequent. Such a logic was first introduced (...) by Jarmużek and Malinowski, by means of so-called relating semantics and tableau systems. Subsequently its modal extension was determined by means of the combination of possible-worlds semantics and relating semantics. In the following article we present axiomatic systems of some basic and modal Boolean connexive logics. Proofs of completeness will be carried out using canonical models defined with respect to maximal consistent sets. (shrink)

We present the results of research carried out as a part of the project “Current Controversies about Human Origins: Between Anthropology and the Bible”, which focused on the supposed conflict between natural sciences and some branches of the humanities, notably philosophy and theology, with regard to human origins. One way to tackle the issue was to distribute a questionnaire among students and teachers of the relevant disciplines. Teachers of religion and the natural sciences (biology, chemistry, and physics) and students of (...) theology, philosophy, and the natural sciences (specializing in biology and/or anthropology) were asked to answer eleven questions concerning the perception of the conflict between evolutionism and creationism, the definitions of creation and evolution, the existence of a human spiritual element, and the ways of interpreting the Bible, especially the first chapters of the book of Genesis. In the paper we present and analyze selected results of this questionnaire. Among interesting findings there are the following: 1) the opinion concerning the relationship between evolutionism and creationism largely depends on the respondent’s general attitude toward religion, and not on their field of study or teaching expertise, which runs contrary to the received view attributing the opinion of the conflict between science and religion to people’s educational or professional background; 2) The conflict is far more pronounced in the group of nonbelievers. This distinguishes Poland from other countries, notably the United States, where the majority of people with strong religious beliefs seem to maintain that there is a conflict between the natural sciences and religion; 3) literal understanding of the Bible was rejected by vast majority of the respondents, including those who insist on the ‘conflict view’, which seems to make the situation in Poland again quite different from that in some other countries; 4) Unsophisticated understanding of creation positively correlates with the ‘conflicting view’ on the one hand, while, on the other, erroneous understanding of the basics of the theory of evolution appears to have its bearing on too optimistic vision of certain coherence between religion and science. We suggest some hypotheses to explain these and other results of the questionnaire. (shrink)

In the following paper we propose a model-theoretical way of comparing the “strength” of various truth theories which are conservative over $$ PA $$. Let $${\mathfrak {Th}}$$ denote the class of models of $$ PA $$ which admit an expansion to a model of theory $${ Th}$$. We show (combining some well known results and original ideas) that $$\begin{aligned} {{\mathfrak {PA}}}\supset {\mathfrak {TB}}\supset {{\mathfrak {RS}}}\supset {\mathfrak {UTB}}\supseteq \mathfrak {CT^-}, \end{aligned}$$ where $${\mathfrak {PA}}$$ denotes simply the class of all models of (...) $$ PA $$ and $${\mathfrak {RS}}$$ denotes the class of recursively saturated models of $$ PA $$. Our main original result is that every model of $$ PA $$ which admits an expansion to a model of $$ CT ^-$$, admits also an expansion to a model of $$ UTB $$. Moreover, as a corollary to one of the results (brought to us by Carlo Nicolai) we conclude that $$ UTB $$ is not relatively interpretable in $$ TB $$, thus answering the question from Fujimoto (Bull Symb Log 16:305–344, 2010). (shrink)

This paper is a follow-up to [4], in which a mistake in [6] (which spread also to [9]) was corrected. We give a strenghtening of the main result on the semantical nonconservativity of the theory of PT−with internal induction for total formulae${(\rm{P}}{{\rm{T}}^ - } + {\rm{INT}}\left( {{\rm{tot}}} \right)$, denoted by PT−in [9]). We show that if to PT−the axiom of internal induction forallarithmetical formulae is added (giving${\rm{P}}{{\rm{T}}^ - } + {\rm{INT}}$), then this theory is semantically stronger than${\rm{P}}{{\rm{T}}^ - } + (...) {\rm{INT}}\left( {{\rm{tot}}} \right)$. In particular the latter is not relatively truth definable (in the sense of [11]) in the former. Last but not least, we provide an axiomatic theory of truth which meets the requirements put forward by Fischer and Horsten in [9]. The truth theory we define is based on Weak Kleene Logic instead of the Strong one. (shrink)

James (1890) distinguished two understandings of the self, the self as “Me” and the self as “I”. This distinction has recently regained popularity in cognitive science, especially in the context of experimental studies on the underpinnings of the phenomenal self. The goal of this paper is to take a step back from cognitive science and attempt to precisely distinguish between “Me” and “I” in the context of consciousness. This distinction was originally based on the idea that the former (“Me”) corresponds (...) to the self as an object of experience (self as object), while the latter (“I”) reflects the self as a subject of experience (self as subject). I will argue that in most of the cases (arguably all) this distinction maps onto the distinction between the phenomenal self (reflecting self-related content of consciousness) and the metaphysical self (representing the problem of subjectivity of all conscious experience), and as such these two issues should be investigated separately using fundamentally different methodologies. Moreover, by referring to Metzinger’s (2018) theory of phenomenal self-models, I will argue that what is usually investigated as the phenomenal-“I” [following understanding of self-as-subject introduced by Wittgenstein (1958) ] can be interpreted as object, rather than subject of experience, and as such can be understood as an element of the hierarchical structure of the phenomenal self-model. This understanding relates to recent predictive coding and free energy theories of the self and bodily self discussed in cognitive neuroscience and philosophy. (shrink)

The aim of the paper is to discuss the idea of dialogue with nature. Even though the idea of dialogue with animals, plants – even objects of inanimate nature – is well known, it has usually been treated as an expression of a naive or folk view. Yet, it has recently gained in importance as an idea that is used to describe an ecological approach to natural environment and tends to be treated as a foundation for an ecological culture. A (...) noteworthy contribution to the reconsideration of the concept of human-nature dialogue has also been given by a number of contemporary philosophers who have offered an environmental reinterpretation of phenomenology and hermeneutics based on, among other things, Martin Buber’s concept of the I-You relationship. The paper will focus on two aspects of the concept of dialogue, namely on its epistemological and ethical implications. Following Erazim Kohák’s theory, which will be presented as a key figure of a particular manner of speaking about nature, one that leads to ecological personalism. (shrink)

Idea słowiańska” jest terminem ogólnym, odnoszącym się do wielu politycznych, historiozoficznych i kulturowych wątków, dla których inspiracją było językowe i kulturowe pokrewieństwo między narodami słowiańskimi. Takie ruchy jak słowianofilstwo i panslawizm miały na celu kulturalne i polityczne zjednoczenie Słowian. Idea ta wywarła silny wpływ na muzykę krajów środkowej i wschodniej Europy w XIX i XX wieku. Pod jej wpływem powstała znaczna liczba utworów muzycznych. Można utwory te podzielić na kilka grup. W jednych „słowiańskość” podkreślana była poprzez tytuł. Kompozytorzy używali również (...) typowo słowiańskich gatunków tanecznych i pieśniowych, jak polski mazurek i ukraińska dumka. Innym sposobem realizacji idei słowiańskiej były muzyczne kontakty między twórcami. Idea muzyki słowiańskiej pojawia się również w komentarzach muzykologicznych: słowiański „charakter” muzyczny bywał najczęściej łączony ze specyficznymi kategoriami emocjonalnymi, takimi jak smutek, tęsknota, szczególnie zaś żal, które to określenie stosowano do opisu przemożnego nastroju panującego w dziełach Chopina. (shrink)

In this article we consider linear isomorphisms over the field of rational numbers between the linear spaces ℝ2 and ℝ. We prove that if f is such an isomorphism, then the image by f of the unit disk is a strictly nonmeasurable subset of the real line, which has different properties than classical non-measurable subsets of reals. We shall also consider the question whether all images of bounded measurable subsets of the plane via a such mapping are non-measurable.

This text reviews David Megger’s 2021 book entitled _Justice in Welfare Economics. __Libertarianism and the Austrian School_ (in Polish: _Sprawiedliwość w ekonomii dobrobytu, liberatarianizm i szkoła austriacka_). The review takes a critical approach, highlighting the most significant aspects of the presented considerations and emphasising their uniqueness and complexity. I intend to extensively discuss the author’s theses concerning the modification of the fundamental claims of Austrian school representatives about justice and welfare, highlighting both their strengths and weaknesses.