It is proved that the following conditions are equivalent: (a) there exists a complete, atomless, σ-centered Boolean algebra, which does not contain any regular, atomless, countable subalgebra, (b) there exists a nowhere dense ultrafilter on ω. Therefore, the existence of such algebras is undecidable in ZFC. In "forcing language" condition (a) says that there exists a non-trivial σ-centered forcing not adding Cohen reals.

An analogue of Mathias forcing is studied in connection of free Boolean algebras and nowhere dense ultrafilters. Some applications to rigid Boolean algebras are given.

This article discusses how Nicholas of Cusa’s speculative philosophy harbors an ecumenical spirit that is deeply entwined and in tension with his commitment to incarnational mystical theology. On the basis of my discussion of this tension, I intend to show that Nicholas understands “faith” as a poietic activity whose legitimacy is rooted less in the independent veracity of the beliefs in question than in the potential of particular religious conventions to aid intellectual processes of self-interpretation. In undertaking this analysis, the (...) paper will use Nicholas of Cusa’s De pace fidei—whose overt intention is to show that all forms of religious practice presuppose the same universal faith—as an interpretive lens to explore implications of the philosophical anthropology that Nicholas offers in treatises such as De ludo globi and De venatione sapientiae. Thus, I will argue that Nicholas’ appreciation of the inevitability of religious diversity in the temporal world funds the consistently favored view in his speculative works that “faith” is a virtue only insofar as its adherent genuinely remains in search of understanding and that, consequently, religious beliefs should function as nothing more than tools for creative activity, interpretation, and inquiry. (shrink)

This paper critically tracks the impact of the development of the machine consciousness paradigm from the incredulity of the 1990s to the structuring of the turn of this century, and the consolidation of the present time which forms the basis for guessing what might happen in the future. The underlying question is how this development may have changed our understanding of consciousness and whether an artificial version of the concept contributes to the improvement of computational machinery and robots. The paper (...) includes some suggestions for research that might be profitable and others that may not be. (shrink)

Impossible Minds: My Neurons, My Consciousness has been written to satisfy the curiosity each and every one of us has about our own consciousness. It takes the view that the neurons in our heads are the source of consciousness and attempts to explain how this happens. Although it talks of neural networks, it explains what they are and what they do in such a way that anyone may understand. While the topic is partly philosophical, the text makes no assumptions of (...) prior knowledge of philosophy; and so contains easy excursions into the important ideas of philosophy that may be missing in the education of a computer scientist. The approach is pragmatic throughout; there are many references to material on experiments that were done in our laboratories. The first edition of the book was written to introduce curious readers to the way that the consciousness we all enjoy might depend on the networks of neurons that make up the brain. In this second edition, it is recognized that these arguments still stand, but that they have been taken much further by an increasing number of researchers. A post-script has now been written for each chapter to inform the reader of these developments and provide an up-to-date bibliography. A new epilogue has been written to summarize the state-of-the art of the search for consciousness in neural automata, for researchers in computation, students of philosophy, and anyone who is fascinated by what is one of the most engaging scientific endeavours of the day. This book also tells a story. A story of a land where people think that they are automata without much in the way of consciousness, a story of cormorants and cliffs by the sea, a story of what it might be like to be a conscious machine... (shrink)

Epistemicism associates vagueness with ignorance produced by semantic plasticity: the shiftiness of intensions in our language resulting from small changes in usage. The recent literature (Caie 2012; Magidor 2018; Yli-Vakkuri 2016) points to a missing piece in the epistemicist theory of vagueness, namely a clear account of the semantics of the definiteness operator Δ. The fundamentals of the epistemicist theory are well understood. However, the technical work of defining the definiteness operator has proven difficult. There are several desiderata that we (...) would like Δ to satisfy. For instance, we would like the epistemicist notion of ‘definiteness’ to interact well with modal operators and validate intuitive principles like ‘necessarily, if φ is definitely true, then φ is true’. Providing an account that would meet all such desiderata has eluded the epistemicists so far. In this paper, I present a novel version of a multidimensional model inspired by the work of Robert Stalnaker and David Kaplan. Using this model, I provide an account of epistemicist definiteness that meets our desiderata. (shrink)

The epistemicist theory aims to explain ignorance due to vagueness by semantic plasticity: the shiftiness of intensions across close possible worlds resulting from shiftiness in usage. This explanation is challenged by the Omniscient Speaker Puzzle (Sennet in Philos Stud 161(2):273–285, 2012). Suppose that an omniscient speaker, Barney, who knows all the facts about usage and how these facts determine the intensions of expressions, cooks up a scheme to stabilise the intension of a normally semantically plastic term like ‘rich’. It seems (...) that ‘rich’ would display all the phenomena associated with vagueness without being semantically plastic, thus making the epistemicist explanation of ignorance due to vagueness insufficient. In this paper, I present a few choice points for epistemicism that arise as a result of the puzzle. (shrink)

Mystical Theology and Platonism in the Time of Cusanus engages with the history of mystical theology and Neoplatonic philosophy through the lens of the 15th century philosopher and theologian, Nicholas of Cusa. The volume comprises nineteen essays that break down the barriers between medieval and Renaissance studies, reinterpreting Cusanus’ place in the history of thought by exploring the archive that informed his thinking, while also interrogating his works by exploring them from the standpoint of their later reception by modern philosophers (...) and theologians. The volume also offers tribute to the career of Donald F. Duclow, a leading scholar in the field of Cusanus studies in particular and of the history of mystical theology and Neoplatonic philosophy more generally. (shrink)

It is shown that for every Turing degree d there is an ω-categorical group G such that the isomorphism type of G is of degree d. We also find an ω-categorical group G such that the isomorphism type of G has no degree.

In this article, for the first time, the work of Professor E. K. Virsaladze in class on the "Symphonic Etudes" Op. 13 by R. Schumann was reviewed and a small performance analysis of her performance in the Great Hall of the Moscow Conservatory was given. The concert took place on April 16, 2010, on the 200th anniversary of the birth of R. Schumann. The author, being a student of her class and an assistant trainee, made notes of the teacher's wishes (...) in the work on the "Symphonic Etudes" by the romantic composer R. Schumann. The suggestions and recommendations expressed by E. K. Virsaladze on "Symphonic Sketches" are presented for the first time and have great practical and artistic value. The author discusses in detail the work on each etude. In his work, the professor pays attention to all means of musical expression: rhythm, strokes, dynamics… Advises a certain fingering, pedal… Such work of a teacher should undoubtedly contribute to obtaining certain performing skills from students for their further development. As an example, the article examines Virsaladze's performance of "Symphonic Etudes" in the Great Hall of the Moscow Conservatory in a concert dedicated to the 200th anniversary of the birth of R. Schumann. The article is recommended for students of music universities, colleges, colleges preparing for a concert performance of Schumann's works, in particular, "Symphonic Etudes" Op. 13. (shrink)

To explore the extent of embeddability of Leibnizian infinitesimal calculus in first-order logic (FOL) and modern frameworks, we propose to set aside ontological issues and focus on pro- cedural questions. This would enable an account of Leibnizian procedures in a framework limited to FOL with a small number of additional ingredients such as the relation of infinite proximity. If, as we argue here, first order logic is indeed suitable for developing modern proxies for the inferential moves found in Leibnizian infinitesimal (...) calculus, then modern infinitesimal frameworks are more appropriate to interpreting Leibnizian infinitesimal calculus than modern Weierstrassian ones. (shrink)

a This is an outline of a coherence theory of law. Its basic ideas are: reasonable support and weighing of reasons. All the rest is commentary.a (TM) These words at the beginning of the preface of this book perfectly indicate what On Law and Reason is about. It is a theory about the nature of the law which emphasises the role of reason in the law and which refuses to limit the role of reason to the application of deductive logic. (...) In 1989, when the first edition of On Law and Reason appeared, this book was ground breaking for several reasons. It provided a rationalistic theory of the law in the language of analytic philosophy and based on a thorough understanding of the results, including technical ones, of analytic philosophy. That was not an obvious combination at the time of the booka (TM)s first appearance and still is not. The result is an analytical rigor that is usually associated with positivist theories of the law, combined with a philosophical position that is not natural law in a strict sense, but which shares with it the emphasis on the role of reason in determining what the law is. If only for this rare combination, On Law and Reason still deserves careful study. On Law and Reason also foreshadowed and influenced a development in the field of Legal Logic that would take place in the nineties of the 20th century, namely the development of non-monotonic (a defeasiblea (TM)) logics for the analysis of legal reasoning. In the new Introduction to this second edition, this aspect is explored in some more detail. (shrink)

Procrastination as putting off until tomorrow what one had intended to do today is well-known tendency in everyday life. In an attempt to understand the character of procrastination in different life-domains, a large body of research has been accumulated over the last decades. This article was aimed to evaluate a specific decisional procrastination of school-to-work transition that is treated as maturity postponement. Two studies are reported examining SWT procrastination defined as career indecision among Polish students graduating universities. In Study 1, (...) attitudinal and identity statuses were analyzed as correlates of career procrastination. A path analysis conducted for the model, which was aimed to explain the influence of career self-efficacy and occupational commitment on career indecision, revealed its very good fitness. Those two independent variables explain 10% of career indecision variance. Stepwise multiple regression analyses conducted to ascertain relationship of five identity statuses to procrastination measure showed that Commitment Making and Ruminative Exploration are strongest predictor variables. In study 2, the stepwise multiple regression analyses conducted to ascertain the independent relationship of each of Big Five personality factor revealed that Neuroticism and Extraversion accounts of the most of explained variance of school-to-work transition procrastination. (shrink)

The goal of this article is to show that instrumental rationality and utility that have been used in economics for many years does not work well. What is presented in the article is how significant the influence of utilitarianism has been on economics and why the economists get rid of humans’ goals and motivations. It is shown in the article that the human who decides in present is absolutely different from the human who decides over time. Many economists neglected this (...) problem because they wanted to have an effective and simple model. Becker’s economic method is presented as a dead end to which economics has been brought to. It is impossible to connect different selves of one human being by using the utility measure. The works of Schelling and J.S. Mill are used to explain this impossibility. The conclusion of this article is that instrumental rationality and utility have affected economics significantly. But, this simplified view on human nature is no longer valid. Hence, economics needs to think not only about the means but also about the human goals. Economics needs to rebuff relativism and show people how to achieve well-being. If we want to help people with their self-governance, we will have to choose reason over emotions. (shrink)

The books’ goal is to answer the question: Do the weaknesses of value-free economics imply the need for a paradigm shift? The author synthesizes criticisms from different perspectives (descriptive and methodological). Special attention is paid to choices over time, because in this area value-free economics has the most problems. In that context, the enriched concept of multiple self is proposed and investigated. However, it is not enough to present the criticisms towards value-free economics. For scientists, a bad paradigm is better (...) than no paradigm. Therefore, the author considers whether value-based economics with normative approaches such as economics of happiness, capability approach, libertarian paternalism, and the concept of multiple self can be the alternative paradigm for value-free economics. This book is essential reading to everyone interested in the current state of economics as a discipline. (shrink)

What is archaeology? A research field dealing with monuments? A science? A branch of philosophy? Dzbyński suggests the simple but thoughtful equation: Archaeology = History = Knowledge. This book consists of 8 chapters presenting a collection of characteristic philosophical attitudes important for archaeology. It discusses the historicity of archaeological sources, the source of the algorithmic approach in archaeological reasoning, and the accuracy of logical and irrational thinking. In general, this book is concerned with the history of archaeologists' search for a (...) suitable methodology. All these issues are discussed in relation to two main intellectual trends of archaeology to the present day: processual and post-processual archaeology. Processualism introduced and developed the idea of algorithmic and universal reasoning in archaeology, while post-processualism focused attention on the individual value of a monument and the archaeologist himself. These are still two foundations on which the present knowledge of the past is based, and thus their defining role cannot be overestimated. An additional layer of narrative, visible right from the beginning of the book, is the gradual discovery of the relationship between archaeology and popular culture, especially film and literature. Its aim is both illustration and explanation. It is intended that the reader receives not only information and knowledge, but also a deeper emotional reference which is connected with the reception of works of art. (shrink)

Artykuł analizuje Polesie F. A. Ossendowskiego w kontekście międzywojennego przekonania o egzotyczności tego regionu, które kumulowało się w metaforze „polskiej dżungli”. Pokazuje, w jaki sposób narracja reportażowa wchłaniała elementy ówczesnych dyskursów przyrodoznawczych, etnograficznych, militarnych oraz państwowych oraz na ile wpłynęły one na strategie reprezentacji literackiej. W jej ramach modernizacja Polesia była przedstawiona jako misja cywilizacyjna, ściśle sprzęgnięta z polonizacją mieszkańców tego obszaru.

The goal of the article is to substantiate that despite the criticism the paradigm in economics will not change because of the axiomatic assumptions of value-free economics. How these assumptions work is demonstrated on the example of Gary Becker’s economic approach which is analyzed from the perspective of scientific research programme. The author indicates hard core of economic approach and the protective belt which makes hard core immune from any criticism. This immunity leads economists to believe that they are objective (...) scientists and, consequently, it results in epistemological hubris. Due to its tautological nature, economic approach is considered to be a degenerative programme. This conclusion is extended on value-free economics. In spite of these problems, many economists still believe in positive economics and they dismiss normative approaches. It has a negative influence on people. The conclusion of the article is that thanks to axiomatic assumptions economists do not have objective and ironclad methodology and they should accept normative values in their research. (shrink)

The widespread idea that infinitesimals were “eliminated” by the “great triumvirate” of Cantor, Dedekind, and Weierstrass is refuted by an uninterrupted chain of work on infinitesimal-enriched number systems. The elimination claim is an oversimplification created by triumvirate followers, who tend to view the history of analysis as a pre-ordained march toward the radiant future of Weierstrassian epsilontics. In the present text, we document distortions of the history of analysis stemming from the triumvirate ideology of ontological minimalism, which identified the continuum (...) with a single number system. Such anachronistic distortions characterize the received interpretation of Stevin, Leibniz, d’Alembert, Cauchy, and others. (shrink)