The paper examines the difference between János Bolyai’s and Lobachevskii’s notion of non-Euclidean parallelism. The examination starts with the summary of a widespread view of historians of mathematics on János Bolyai’s notion of non-Euclidean parallelism used in the first paragraph of his Appendix. After this a novel position of the location and meaning of Bolyai’s term “parallela” in his Appendix is put forward. After that János Bolyai’s Hungarian manuscript, the Commentary on Lobachevskii’s Geometrische Untersuchungen is elaborated in order to see (...) how Bolyai and Lobachevskii’s notions of parallelism differ. The careful examination of the Commentary reveals a seeming incoherence of Bolyai’s translation, and finally the explanation of this incoherence offered by the Received View and that of the novel position will be compared and assessed. L’article examine la différence entre la notion du parallélisme non-Euclidean de János Bolyai et celle de Lobachevskii. Tout d’abord le travail s’occupe de l’opinion répendue parmi les historiens de géometrie (le « Received View » ), selon laquelle János Bolyai précise la notion du parallélisme non-Euclidean dans le premier paragraph de l’Appendix. Ensuite une pointe de vue toute neuve sera présentée concernant la place et le sens du terminus technicus,,paralella” de Bolyai dans l’Appendix. Enfin on va analyser les Commentaires (un manuscrit hongrois) de János Bolyai sur le livre Geometrische Untersuchungen de Lobachevskii àfin de voir jusqu’à quel point la notion de parallelisme de Bolyai se diffère de celle de Lobachevskii. L’analyse bien fondue des Commentaires va nous relever un apparent incohérence de la traduction de Bolyai. On examine et on compare l’opinion répendue dans le vaste public avec la nouvelle interpretation de l’Appendix, et on discute les explications probables de cet incohérence. (shrink)

This paper systematises the works of György Márkus into two or possibly three periods. These emphasise the underlying consistency of purpose and interpreting theoretical interests throughout the oeuvre. despite the changing and socio-political forms and language games, all three share common features. These stages move from this initial critique of Orthodox Marxism employing the intellectual rigor of analytical and a philosophical anthropology to an investigation of the internal contradictions in Marx’s mature economic writings. to a final post-marxist phase after he (...) left Hungary dominated by continual philosophical themes and a social democratic political perspective. (shrink)

In all kinds of implementations of computing, whether technological or biological, some material carrier for the information exists, so in real-world implementations, the propagation speed of information cannot exceed the speed of its carrier. Because of this limitation, one must also consider the transfer time between computing units for any implementation. We need a different mathematical method to consider this limitation: classic mathematics can only describe infinitely fast and small computing system implementations. The difference between mathematical handling methods leads to (...) different descriptions of the computing features of the systems. The proposed handling also explains why biological implementations can have lifelong learning and technological ones cannot. Our conclusion about learning matches published experimental evidence, both in biological and technological computing. (shrink)

János Kornai, a distinguished Hungarian economist, began his adult life as an ardent believer in socialism and then became a critic of the communist political and economic system. He lost family members in the Holocaust, contributed to the ideological preparation for the 1956 Hungarian Revolution, and became an influential theorist of the post-Soviet economic transition. He has been a journalist, a researcher prohibited from teaching in his home country, and a tenured professor at Harvard. By Force of Thought traces Kornai's (...) lifelong intellectual journey and offers a subjective complement to his academic research.Disenchanted with communism, Kornai published Overcentralization, the first book written by someone living behind the Iron Curtain to be openly critical of Soviet-style economics. Although it was attacked in Hungary, it was hailed by Western economists. The Kornai-Lipták theory on two-level planning captured the attention of mathematical economists. Kornai went on to publish the controversial Anti-Equilibrium, a critique of the general equilibrium theory underpinning mainstream economic analyses of markets, Economics of Shortage, The Road to a Free Economy, and the summary of his lifetime research, The Socialist System. An intellectual emissary between East and West, Kornai commuted between Harvard and Budapest for many years.Kornai's memoir describes his research--including his present-day evaluation of his past work--as well as the social and political environments in which he did his work. The difficulties faced by a critic of central planning in a communist country are made especially vivid by material from newly opened secret police files and informers' reports on his activities. By Force of Thought will be an essential resource for students of economic thought, socialist systems, and postsocialist transition, and for readers interested in Eastern European intellectual life before, during, and after communism. (shrink)

Philosophy begins and ends in disagreement. Philosophers disagree among themselves in innumerable ways, and this pervasive and permanent dissent is a sign of their inability to solve philosophical problems and establish substantive truths. This raises the question: What should I do with my philosophical beliefs in light of philosophy's epistemic failure? In this open-access book, János Tozsér develops four possible answers into comprehensive metaphilosophical visions and argues that we cannot find peace either by committing ourselves to one of these visions (...) or by abandoning our philosophical beliefs. Tozsér calls this disheartening insight "the experience of breakdown", making the case that philosophy's truth-seeking and justificatory tools are unsuitable for establishing truths. Shedding light on the epistemic status of our philosophical beliefs, Tozsér adopts a broad approach to assess the metaphilosophical visions used by philosophers to interpret their own activity and determine their epistemic self-esteem. Open access was funded by the Research Centre for the Humanities, Hungary. (shrink)

In ‘Two Concepts of Liberty’, Berlin wavered between two readings of the concept of positive liberty. In the first one, ‘positive liberty’ is a distinct concept, different from that of ‘negative liberty’. Those who advocate liberty in the negative sense and those who advocate it in the positive sense do not disagree on which interpretation of the same thing – ‘liberty’ – is the correct one; they speak about different things. Both defend valid ideals, although those ideals may not be (...) simultaneously achievable. In the second reading, negative and positive liberty are competing interpretations of the same concept, the defenders of negative liberty being involved in a substantive disagreement with the advocates of positive liberty on what the same term – ‘liberty’ – really means. On this understanding, negative and positive liberty cannot both be valid ideals: one of them (negative liberty) is a genuine value, the other (positive liberty) being nothing but the perversion of it. My article aims to uncover the roots of this ambiguity in unresolved difficulties in Berlin’s account of the history of the ideas of negative and positive liberty and, more importantly, in his conception of value pluralism. (shrink)

Entangled states provide the necessary tools for conceptual tests of quantum mechanics and other alternative theories. These tests include local hidden variables theories, pre- and postselective quantum mechanics, QND measurements, complementarity, and tests of quantum mechanics itself against, e.g., the so-called causal communication constraint. We show how to produce various nonlocal entangled states of multiple cavity fields that are useful for these tests, using cavity QED techniques. First, we discuss the generation of the Bell basis states in two entangled cavities, (...) when there is at most one photon in either of the cavities, and then a straightforward generalization to similar N-cavity states. We then show how to produce a nonlocal entangled state when there is precisely one photon hiding in three cavities. These states can be produced by sending appropriately prepared atoms through the cavities. As applications we briefly review two proposals: one to test quantum mechanics against the causal communication constraint using a two-cavity entangled state and the other to test pre- and postselective quantum mechanics using a three-cavity entangled state. The outcome of the latter experiment can be discussed from the viewpoint of the consistent histories interpretation of quantum mechanics and therefore provides an opportunity to subject quantum cosmological ideas to laboratory tests. Finally, we point out the relation between these schemes and the schemes suggested for quantum computing, teleportation, and quantum copying. (shrink)

This essay tries to review the main elements of the concept of public reason as presented by John Rawls with reference to his latest book (The Law of Peoples with The Idea of Public Reason Revisited) and simultaneously brings up the arguments for and against this concept that have been put forward by the literature. Many of the arguments presented here are not new, but what this essay aims at is a reassessment of the debate by confronting many of the (...) interpretations and points of view raised around the concept of public reason. Based on the argumentation that if ‘right’ precedes this leaves room for the (different existences of) ‘good’ I propose that public reason ought to be conceived more as a political concept and less of a comprehensive account of morality. (shrink)

Dedication. A version of this paper has been discussed in 2007, in Dunabogdány (Hungary), on the occasion of an informal meeting, organized by Jeff Bernard. It was the last occasion I had the chance to meet him, one of my closest friends during many years, to whose memory I dedicate this essay.

Background: This study aimed to examine magical ideation and absorption traits across non-clinical and clinical groups to determine their potential adaptive and maladaptive functions.Method: We enrolled 760 healthy participants from neighboring communities. Moreover, we recruited 318 patients, which included 25, 183, and 110 patients with schizophrenia spectrum disorders, anxiety disorders, and mood disorders, respectively. Potentially adaptive and maladaptive sociocognitive functions were measured to determine the role of magical ideation and self-absorption in patients with psychiatric disorders.Results: The degree of magical ideation (...) and absorption gradually increased in the following order: anxiety disorders, mood disorders, and schizophrenia spectrum disorders. Furthermore, enhanced self-absorption-related enhanced consciousness traits were essential indicators of the presence of self-integration weakness in patients with schizophrenia spectrum disorders.Conclusion: Magical ideation and psychological absorption may be considered as mental model construction functions, which result in both gains and handicaps in social adaptation. (shrink)

The question of "how our visual experience is related to the objects seen?" was not raised by the young Wittgenstein. It seems that at the time of writing the "Tractatus" he thought that seeing as a physically and physiologically determined act was not in need of any semantical explanation. In this essay I seek to present how Wittgenstein located the concept of "aspect-seeing" among the empirical concepts and what solution he offered for the problem of visual semantics. (edited).

In “The Origin of Species,” Darwin describes a hypothetical example illustrating that large, slowly reproducing mammals such as the elephant can reach very large numbers if population growth is not affected by regulating factors. The elephant example has since been cited in various forms in a wide variety of books, ranging from educational material to encyclopedias. However, Darwin’s text was changed over the six editions of the book, although some errors in the mathematics persisted throughout. In addition, full details of (...) the problem remained hidden in his correspondence with readers of the Origin. As a result, Darwin’s example is very often misinterpreted, misunderstood or presented as if it were a fact. We show that the population growth of Darwin’s elephant population can be modeled by the Leslie matrix method, which we generalize here to males as well. Darwin’s most often cited figure, about 19 million elephants after 750 years is not a typical outcome, actually a very unlikely result under more realistic, although still hypothetical situations. We provide a recursion formula suggesting that Darwin’s original model corresponds to a tribonacci series, a proof showing that sex ratio is constant over all age classes, and a derivation of a generating function of the sequence. (shrink)

The paper distinguishes two types of Platonist approach, namely the Traditional one and the Robust one. In relation to this distinction I am going to argue that if the ontology of mathematics is intended to be defended plausibly in a Platonist way then this cannot be done according to the Traditional version. This will draw our attention to the plausibility of the Robust version. The plausibility of the two versions of Platonism will be examined in relation to one of the (...) central problems of the philosophy of mathematics, namely the truth-proof problem. The surveying of the truth-proof problem will bring to the surface the prima facie plausibility of the Platonist approach, as well as the apparent accessibility problem of it. Focusing on the accessibility problem will help us to identify two conditions that have to be met by any particular access theory of Platonism. These will be the reducibility condition, and the matching one. The Traditional version will appear an insufficient philosophical theory in relation to the two former conditions. The insufficiency will be demonstrated in the area of the incompatible mathematical theories, namely in the area of Euclidean and hyperbolic geometries. It will turn out that Robust Platonism can escape the squeeze of these conditions, so can it save the original prima facie plausibility of the Platonist approach. (shrink)

Linguistic Modelling of Scenarios proposes a paradigm change from the 'systemic VIEW' to 'systems SCIENCE', so as to extend the methodology of conventional science of physics into the domains hitherto beyond the reach of this kind of treatment. The book: I. Identifies the problematic issues in current approaches to the 'systemic or structural view' of parts of the world as opposed to the 'quantitative/qualitative views' of conventional science of physics and the arts whereby introducing the 'third culture'. II. Locates the (...) position of the structural view in the context of 'human intellectual endeavour'. III. Discusses the fundamental questions raised by modelling aspects of human behaviour. IV. Introduces the basic ideas and the symbolism of linguistic modelling which are then applied to turning descriptions of scenarios as a story or narrative into reasoning schemes. V. Describes a methodology of 'problem solving' of which design thinking and the operation of purposive systems are seen as essential ingredients. Problem solving is a universal activity of living in particular human beings through innovation, invention and creativity. Lack of this activity leads to death! Problem solving is regarded as pivotal point which may propel the spread of the modified structural view into social, technical, cultural and educational awareness. VI. Shows the location of aspects of conventional science within the scheme of systems science whereby achieving a 'continuity of the scientific endeavour'. VII. Outlines a teaching scheme for 'linguistic modelling'. Janos Korn explains how a view can be converted into a science which can lead to a possibility of 'organised speculation' or simulation of behaviour, exploring the effects of variation of parameters on performance, and the occurrence of outcomes of operations, beneficial or not, of dynamic structures. Static and dynamic structures are expressed in more rigorous and computable terms so that the results of analysis and design of human activity scenarios could be exposed to at least thought experiments. Linguistic Modelling of Scenarios is an informative read for any professionals, teachers and students of engineering, social science, management, business and production. (shrink)

Genesis 2:4–25, the story of the creation of man and woman, has received great attention in modern theology. The text indeed contains the most fundamental teaching of the Bible on the relation between man and woman, on sexuality, and on marriage. In this article, however, I attempt to highlight some of the theoretical/philosophical potential of the text. While I accept the main theological teaching of Genesis 2 about the equality of the sexes, I argue that the text goes beyond the (...) mere presentation of this theological doctrine, and provides a structure that allows for a dynamic interplay between the sexes. I contend, furthermore, that this structure and the ensuing dynamics can be interpreted as a subtle treatment of the issue of the same and the other. Finally, I argue that in this way the biblical text can provide a description of the experience of love and an account of human creativity. In other words, it accounts for the possibility of realizing our divine likeness, the divinity of the human. (shrink)

Pál Makó was a prominent 18th century Hungarian mathematician and physicist. The paper shows the cultural-historical background of his work as well as the scientific-historical precedents of his life-work. The influence of the milieu of the University of Nagyszombat on his thinking is taken into account as well. Further, the paper sheds light on Makó´s interpretation of Leibniz and Ch. Wolff in his philosophical books and on his adaptation of advanced mathematics as the zenith of his career. Attention is paid (...) also to the methodology of his text-books and scientific and philosophical-historical lessons of his manuscripts. (shrink)

Die Thematisierung des modernen Verhältnisses zwischen Staat und Gesellschaft ist so ausgerichtet, dass sie von vornherein zu einer Privilegierung der Gesellschaft neigt. Die neuzeitliche sozialphilosophische Diskussion läuft auf eine Zurücknahme des Staates in die Gesellschaft hinaus. An die Stelle der staatlich bestimmten Gesellschaft tritt der gesellschaftlich bestimmte Staat. Die entscheidende Frage ist, wie kann die Gesellschaftlichkeit des Staates begründet werden. Der Staat ist nicht mehr selbstständig, schwebt nicht mehr über der sozialen Wirklichkeit, sondern muss selbst als sozial bestimmt verstanden werden. (...) Die grundsätzliche Frage der neuzeitlichen Sozialphilosophie ist daher: Wie ist der Staat überhaupt möglich? Diese Frage wird durch eine Theorie der Konstitution des Staates beantwortet. (shrink)

It is a central claim of György Márkus’s philosophy of (modern) culture that the Enlightenment project ended up in deep, apparently irresolvable antinomies. But, unlike the majority of ‘postmodern’ thinkers, Márkus insists that the commitments of the Enlightenment cannot and should not be given up. This tension between the failure of the Enlightenment to produce a society of free and equal persons, each leading their lives autonomously, drawing on the resources of rational high culture, and the impossibility and undesirability of (...) the abandonment of the commitments of the Enlightenment finds an expression in what Márkus calls ‘the antinomies of late modernity’. This paper offers an interpretation of Márkus’s conception; it identifies a certain ambiguity in Márkus’s use of the term ‘antinomies’ (a wobbling among three different senses as ‘pairs of opposites’, ‘conflicts of values’ and ‘conceptual incoherence’), and suggests that Márkus’s ambition is compatible with maintaining the first two but is failed by the third one which should, therefore, be abandoned. (shrink)

This study analyzes key concepts in al-Fārābī’s cosmology and provides a new interpretation of his philosophical development through an analysis of the Greco-Arabic sources and a contextualization of his life and thought in the cultural and intellectual milieu of his time.