This article is devoted to the problem of ontological foundations of three-dimensional Euclidean geometry. Starting from Bertrand Russell’s intuitions concerning the sensual world we try to show that it is possible to build a foundation for pure geometry by means of the so called regions of space. It is not our intention to present mathematically developed theory, but rather demonstrate basic assumptions, tools and techniques that are used in construction of systems of point-free geometry and topology by means of mereology (...) and Whitehead-like connection structures. We list and briefly analyze axioms for mereological structures, as well as those for connection structures. We argue that mereology is a good tool to model so called spatial relations. We also try to justify our choice of axioms for connection relation. Finally, we briefly discuss two theories: Grzegorczyk’s point-free topology and Tarski’s geometry of solids. (shrink)

This is the first, out of two papers, devoted to Andrzej Grzegorczyk’s point-free system of topology from Grzegorczyk :228–235, 1960. https://doi.org/10.1007/BF00485101). His system was one of the very first fully fledged axiomatizations of topology based on the notions of region, parthood and separation. Its peculiar and interesting feature is the definition of point, whose intention is to grasp our geometrical intuitions of points as systems of shrinking regions of space. In this part we analyze separation structures and Grzegorczyk structures, and (...) establish their properties which will be useful in the sequel. We prove that in the class of Urysohn spaces with countable chain condition, to every topologically interpreted representative of a point in the sense of Grzegorczyk’s corresponds exactly one point of a space. We also demonstrate that Tychonoff first-countable spaces give rise to complete Grzegorczyk structures. The results established below will be used in the second part devoted to points and topological spaces. (shrink)

The results of the linguistic interpretation should be verified through systemic and purposive methods of interpretation. That process is especially desirable in the cases where the result of the linguistic interpretation is not unequivocal. Whereas, as practice demonstrates, the quality of tax law is not the best, it is impossible to overestimate the role of the non-linguistic method of interpretation. The object of this paper was to present the role which the linguistic interpretation may play in interpreting the tax law. (...) However it was also important to: place the purposive interpretation among the methods of tax law interpretation and to present static and dynamic elements in tax law interpretation. Within the frames of this paper one can find out about historical interpretation of tax law, economic method of tax law interpretation and purposive interpretation directives. The above considerations allow for posit a thesis according to which purposive interpretation is an indispensable element of the process of interpreting a legal text. Its role in the scope of norms of tax law is, however, peculiar, since it serves only to verify the results of linguistic interpretation. However, it can be indicated that the growth in importance of purposive interpretation is direct proportional to the fall in the quality of tax law regulations. (shrink)

The article presents and justifies the thesis that the way of understanding knowledge has changed significantly over the last century. This change consists in departing from the classic definition of knowledge formulated by Plato, and in particular in questioning the subjective role of man as the holder of knowledge and abandoning claims to the truthfulness of knowledge. This process was an intensive evolution; its elements are given and justified in the text. Its source was a deep reconstruction of the mode (...) of creating epistemic structures in mathematics and geometry, based on the abandonment of the principle of representation. Knowledge turned out to be determined by the social context, it became dispersed, decentralized, which led to the rejection of the condition of its truthfulness. The last phase of this evolution is knowledge as a phenomenon in the area of digital technologies, in particular artificial intelligence. This evolution has led to the emergence of many variants of knowledge that act as local knowledge, which justifies the use of the plural in this case. (shrink)

Two fundamental features of a liberal political community are usually identified in contemporary deliberations: there is an inevitable pluralism of visions of good and worthy life, blended into a wide range of religious, philosophical and ethical positions; those who are in power are under an obligation to set public matters in such a way as to avoid discrimination of any class of the ruled. In respect of and, it is presumed that the process of enacting, implementing and executing public law (...) shall be separated from any perfectionist moral position, because being impartial when making political decisions is a prerequisite for non-discriminatory politics. This kind of politics looks for proper, convincing and comprehensible reasons to establish a new legal standard of behaviour in the ‘public reason’ – a set of moral statements and political values commonly shared in an open, pluralistic and tolerant society, which does not provide decisive answers to any questions about the meaning of life and does not bring us closer to discover its ideal. This article tries to reproduce the main notions and ideas of leading, contemporary liberal philosophers – John Rawls and Charles Larmore – that deal with the very nature of impartiality of a liberal state and the ability of policymakers to be impartial. It also presents the critical views of Stephen Macedo and Nicholas Wolterstorff, who question the possibility of building a neutral state. (shrink)

The video game producers are currently in spotlight of market information services. Successes and huge budgets of such companies attract many readers. However, scientific studies related to this sector do not share the same popularity. A reflection on the source of value in this sector shows that what generates revenues is not disclosed in the report. Great examples are customers’ relationships or the value of employees creating the game code and story of the game. Video games producers sector presents a (...) good combination of business and culture that allows reflection on financial characteristics of knowledge based companies. Prior studies show that market’s valuation takes into account unrecognised assets but capital-intensive character of a production and intangibility of a product and its assets causes problems with exact valuation. In this paper the author asks about the impact of the characteristics on the assessment of a financial condition. The research question in this paper is whether it is possible to use and interpret correctly popular discriminant analysis model for knowledge based entities on the example of video game companies. Results are applicable by analysts and managers of this sector and help to determine the usefulness of this method, but it still depends on assumptions and accounting policies. The reflection presented also broadens the discussion on financialisation because analysed companies can oppose this trend in a specific way. (shrink)

Advances in analytical understanding of the biosphere’s biogeochemical cycles have spawned concepts of Gaia and noosphere. Earlier in this century, in concert with the Jesuit paleontologist Pierre Teilhard de Chardin, the natural scientist Vladimir Vernadsky developed the notion of noosphere-an evolving collective human consciousness on Earth exerting an ever increasing intluence on biogeochemical processes. More recently, the chemist James Lovelock postulated the Earth to be a self-regulating system made up of biota and their environment with the capacity to maintain a (...) planetary steady state favorable to life. This is the Gaia hypothesis. To many, Gaia and noosphere represent contradictory interpretations of humanity’s relation to planetary ecology. Noosphere emphasizes a free will and obligation to shape the destiny of humanity on Earth through technology and new kinds of social relations. In contrast, Gaia invokes mysterious mechanisms of planetary evolution that lie beyond human control and understanding. I argue that if brought together, noosphere and Gaia can provide a useful symbol for guiding human interventions in global ecology because the contradictions of a nature-centered view of Gaia and a human-centered view of noosphere are coming to be irrelevant with the emergence of an analytical science of the biosphere. (shrink)

This article investigates the structures of an identifiably Buddhist philosophy of religion, understood as the philosophical exposition and exploration of Buddhist religiosity. I thus theorize what forms a philosophy of religion structured according to Buddhist principles and paradigms might take, address various theoretical and methodological considerations, and survey a range of candidate schemas, which latter are arranged under textual, sectarian, and doctrinal rubrics. Overall, this project is undertaken on the understanding that the study of Buddhism, among other global traditions, need (...) not and should not replicate conceptual structures imposed upon it from without, and that philosophy of religion is enriched by attention to the resolutely plural philosophies of religions worldwide. (shrink)

With material on his early philosophical views, his contributions to set theory and his work on nominalism and higher-order quantification, this book offers a uniquely expansive critical commentary on one of analytical philosophy’s great ...

In this article, I discuss parthood status in mereologi- cally interpreted Daoist metaphysics, based on the Daodejing. I depart from the dao and you interrela- tion, which mereologically overlap by sharing parts. I consider the case of a complete overlap, which (a) challenges proper parthood, according to which a part cannot be identical with the whole that it com- poses, and (b) entails the question of identity that, while complying with classical mereology, cannot be consis- tent with Daoist metaphysics. The (...) discussion leads to abandoning proper parthood and antisymmetry axiom from classical axiomatics. It also shows a plausible fur- ther direction for mereological reconstruction. (shrink)

This is the first book on the role of cognition in the aesthetic theory of Li Zehou (1930–2021), one of China's most important and influential contemporary philosophers. The cognitive dimension and its integration with practice is discussed by examining one of Li's pivotal concepts: "subjectality," a human subject shaped by the world in which they live, including beauty and aesthetic experience. Li's theory is also contextualized in the threefold inspiration coming from Confucian, Kantian, and Marxist philosophies, which differently conceptualize the (...) aesthetic and cognitive dimensions in humans. By referring to different aesthetic theories and interdisciplinary approaches to cognition, the book aims to show how Li's cognitively oriented project can contribute to contemporary research into aesthetics. Although primarily written for philosophers working in aesthetics, Chinese, and comparative philosophy, the book is also addressed to anyone interested in contemporary Chinese thought. (shrink)

In the second installment to Gruszczyński and Pietruszczak we carry out an analysis of spaces of points of Grzegorczyk structures. At the outset we introduce notions of a concentric and \-concentric topological space and we recollect some facts proven in the first part which are important for the sequel. Theorem 2.9 is a strengthening of Theorem 5.13, as we obtain stronger conclusion weakening Tychonoff separation axiom to mere regularity. This leads to a stronger version of Theorem 6.10. Further, we show (...) that Grzegorczyk points are maximal contracting filters in the sense of De Vries, but the converse inclusion is not necessarily true. We also compare the notions of a Grzegorczyk point and an ultrafilter, and establish several properties of topological spaces based on Grzegorczyk structures. The main results of the paper are representation and completion theorems for G-structures. We prove both set-theoretical and topological representation theorems for various classes of G-structures. We also present topological object duality theorem for the class of complete G-structures and the class of concentric spaces, both restricted to structures which satisfy countable chain condition. We conclude the paper with proving equivalence of the original Grzegorczyk axiom with the one accepted by us as axiom. (shrink)

The systems of patent rights in force in Europe today, both at the level of national law and on the regional level, contain general clauses prohibiting the patenting of inventions whose publication and exploitation would be contrary to “ordre public” or morality. Recent years have brought frequent discussion about limiting the possibility of patent protection for biotechnological inventions for ethical reasons. This is undoubtedly a result of the dynamic development in this field in the last several years. Human genome sequencing, (...) the first successful cloning of mammals, and the progress in human stem cell research present humanity with many new questions of an ethical nature. Directive 98/44 of the European Parliament and of the Council of July 6, 1998, on the Legal Protection of Biotechnological Inventions created a new basis for patent protection in this field of technology. Based on the European experience to now, however, it must be said that patent law is not the right place to legislate the consequences of the morality of an invention. (shrink)

The main focus of this paper is to develop an adaptive formal apparatus capable of capturing (certain types of) reasoning conducted within the framework of the so-called dynamic conceptual frames. I first explain one of the most recent theories of concepts developed by cognitivists, in which a crucial part is played by the notion of a dynamic frame. Next, I describe how a dynamic frame may be captured by a finite set of first-order formulas and how a formalized adaptive framework (...) for reasoning within a dynamic frame can be developed. (shrink)

The article aims to show that the criticism of the psychophysiological theory of cognition, formulated by Ingarden in the work U podstaw teorii poznania, is in some aspects still sound. The psychophysiological theory of cognition is the forerunner of modern naturalized epistemology. Therefore, the author of this article tries to show that Ingarden's critique applies to this modern epistemology. The work focuses on a selected aspect that occurs in both theories, i.e. the problem of causal generation of cognition. It also (...) focuses only on assessing the topicality of the two selected allegations that Ingarden formulated against the causal explanations of the possibility of knowledge, namely the objection of a vicious circle in theory and the objection that causal theory is unable to provide essential epistemological concepts and criteria necessary for the analysis of cognition. The author of the article defends the validity of the vicious circle objection by referring it to the problem of a causal vicious circle. He then shows the topicality of the second objection by showing that it can be interpreted as the claim that causal theory is incapable of solving the problem of causal underdetermination of cognition. This problem occurs irrespective of the adoption of foundationalism or anti-foundationalism in epistemology. (shrink)

Philosophy of religion has been the object of penetrating critiques concerning its continued near-complete blindness to all but a single religion. The need for philosophy of religion to open up so as to include more than merely occasional and tokenistic treatments of ‘Other’ religions is clearly evident from the slew of recently published titles concerned with diversifying the field. In this light, a book such as Victoria Harrison’s Eastern Philosophy of Religion should surely come as a welcome addition. And yet, (...) unfortunately, this book turns out to be a case study in how not to diversify philosophy of religion in the twenty-first century. (shrink)

The present paper puts forward a first outline of a possible agonistic theory of adjudication, conceived of as an extension of Chantal Mouffe’s agonistic theory of democracy onto the domain of the juridical, and specifically, judicial decision-making. Mouffe’s concept of the political as the dimension of inherent and unalienable conflicts (antagonisms) which, nonetheless, need to be tamed for a pluralist democracy to function, creates an excellent vantage point for a critical theory of adjudication. The paper argues for perceiving all judicial (...) decisions as having a double nature—juridical and political. Cloaked in legal form, judgments nonetheless decide on individual instances of on-going collective conflicts, opposing workers to employers, consumers to traders, tenants to landlords, moral progressives to traditionalists, minorities to majorities and so forth. Judges, when handing down judgments, enjoy a ‘relative sovereignty’, being always already inscribed into the institutional imperatives of the juridical, on one hand, and ideological influences, on the other, but at the same time called upon to decide in the terrain of the undecidable and contingent (after all, law does not ‘apply itself’ on its own). Indeed the determinacy of legal decisions is only relative: in many cases judges can, by performing a sufficient amount of legal interpretive work, reach a conclusion which will be different from theprima facieinterpretation. The collective conflicts of a various nature (economic, ideological, socio-political), once they are juridified, become the object of judicial decisions which, in light of Mouffe’s theory, can be seen as temporary hegemonic fixations. The goal of critical legal scholarship is to destabilise such hegemonies in the name of justice. This can be done not only through an external critique of the law, but also through an internal one. The methodological approach advanced in the latter part of the paper emphasises the need for a critique of judicial decisions based on the consideration of all possible alternative decisions a court could have reached, and their evaluation in the light of conflicting interests and ideologies. (shrink)

The paper is devoted to the analysis of two seminal definitions of points within the region-based framework: one by Whitehead (1929) and the other by Grzegorczyk (Synthese, 12(2-3), 228-235 1960). Relying on the work of Biacino & Gerla (Notre Dame Journal of Formal Logic, 37(3), 431-439 1996), we improve their results, solve some open problems concerning the mutual relationship between Whitehead and Grzegorczyk points, and put forward open problems for future investigation.

This is a spin-off paper to [3, 4] in which we carried out an extensive analysis of Andrzej Grzegorczyk’s point-free topology from [5]. In [1] Loredana Biacino and Giangiacomo Gerla presented an axiomatization which was inspired by the Grzegorczyk’s system, and which is its variation. Our aim is to compare the two approaches and show that they are slightly different. Except for pointing to dissimilarities, we also demonstrate that the theories coincide in presence of axiom stipulating non-existence of atoms.

The purpose of this paper is to compare the notion of a Grzegorczyk point introduced in [19] (and thoroughly investigated in [3, 14, 16, 18]) to the standard notions of a filter in Boolean algebras and round filter in Boolean contact algebras. In particular, we compare Grzegorczyk points to filters and ultrafilters of atomic and atomless algebras. We also prove how a certain extra axiom influences topological spaces for Grzegorczyk contact algebras. Last but not least, we do not refrain from (...) a philosophical interpretation of the results from the paper. (shrink)

Public transport in Warsaw is currently showing a dynamic development. The capital of Poland, as the largest city in the country, is constantly increasing spending on transport and implementing large investment projects, such as the expansion of the subway, which gives residents more opportunities for efficient movement within the agglomeration. Despite the implementation of these investments, there are still some sensitive places in Warsaw where access to public transport may be difficult. Given these conditions, a study of public transportation accessibility (...) is warranted and socially needed. This article presents the results of a questionnaire survey conducted among Warsaw residents. The study included a group of 986 respondents, most people between the ages of 18 and 44. The analysis conducted looked at perceived accessibility of public transportation and satisfaction with public transportation services. As a result of the study, we could identify the main factors that influence passenger satisfaction, as well as examine transport accessibility in the social city of Warsaw. Conclusions from the study may be helpful for the city government to improve the functioning of public transport. (shrink)

Legal probabilism is the view that juridical fact-finding should be modeled using Bayesian methods. One of the alternatives to it is the narration view, according to which instead we should conceptualize the process in terms of competing narrations of what happened. The goal of this paper is to develop a reconciliatory account, on which the narration view is construed from the Bayesian perspective within the framework of formal Bayesian epistemology.

The aim of the article is to present the economic thought of Mohandas Karamchand Gandhi with respect to ethical aspects. There are lots of statements and remarks about the relations of ethics and economics in Gandhi’s writings. In his opinion, both areas should be treated as integrated. That is why it is worth analysing Gandhi’s views on various economic matters. Only a selected presentation was possible because it was difficult to find cohesion in his socio-economic system. One of the hypothesis (...) underlined is that it is even risky to write about Gandhi’s united system. Generally his economic thought was not a part of economics as a discipline. Nevertheless it is not a reason to relinquish studies of it. Because of the fact that many remarks linked with microand macroeconomics are of considerable value, they can be used to research economic changes in India in 20th century or to study the attitude of Indian society towards those changes. The main source of the paper was the autobiography ‘The Story of My Experiments with Truth’ published in 1925. More of Gandhi’s economic thought can also be found in the work ‘Hind Swaraj’ from 1909 and in the lecture ‘Does Economic Progress Clash with Real Progress?’ from 1916. (shrink)

David Lewis has formulated a well-known challenge to his Best System account of lawhood: the content of any system whatever can be formulated very simply if one allows for perverse choices of primitive vocabulary. We show that the challenge is not that dangerous, and that to account for it one need not invoke natural properties or relativized versions of the Best System account. This way, we help to move towards an even better Best System account. We discuss extensions of our (...) strategy to the discussions about the indexicality of the notion of laws of nature, and to another trivialization argument. (shrink)

Los ultimos tiempos se caracterizan, sobre todo, por una mayor conciencia y un mayor interes acerca de los derechos humanos. Sin duda alguna es consecuencia de lo que experimento la humanidad en nuestro siglo. Las dos guerras mundiales, los campos de concentracion y de trabajo, los deportaciones masivas y ejecuciones, los crimenes de guerra y el exterminio de naciones enteras, muestran la violacion mas cruel de la dignidad de la persona humana y de sus derechos fundamentales. Hey dla, los Ilamados (...) derechos humanos, derechos de la persona o derechos naturales gozan de un gran reconocimiento. Sin embargo, 50 anos despues de proclamar la Asamblea General de las Naciones Unidas la Declaracion Universal de Derechos Humanos, el problema mas importante en la doctrina de los derechos humanos lo constituye todavia la busqueda del fundamento de los mismos. La abundante discusion que rodea esta cuestiön muestra diferentes posturas, a voces opuestas. Esta „gran dispersion de enfoques" -como dice Massini- lleva consigo consecuencias necesariamente negativas, porque „no puede sino conducir a su debilitamiento y, en definitiva, a su difuminacion. En ultima instancia, unos derechos quo se intentan justificar de modo tan desemejante y hasta contradictorio, tienden a aparecer como postulados gratuitos, como afirmaciones meramente dogmaticas". A pesar de esta dispersion, los enfoques para justificar los derechos humanos se pueden sintetizar en tres. (shrink)

The article reviews the book The Contribution of Polish Science and Technology to World Heritage, edited by Irena Stasiewicz-Jasiukowa.

The article reviews the book The Contribution of Polish Science and Technology to World Heritage, edited by Irena Stasiewicz-Jasiukowa.