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)

There is, at first glance, nothing easier than to summarize the history of one's life. Every human life, as the cliché puts it, is a true story, and everyone should be capable of writing the story of his own life. We are obviously not thinking of the resumés which are sometimes requested of us for professional or administrative reasons, in which we only mention major and even spectacular events; here we are referring to longer and more detailed descriptions, to writings (...) in which the author tells the story of his life, to autobiographies. Is it difficult to compose them? In any case it is easier than writing a sonnet; to do that, one must know at least the rules for poetry, the construction of rhymes and the form for sonnets. The same is true for writing odes, epigrams and tragedies. Certain norms must be learned which codify the literary genre being used. Apparently there is nothing similar in the case of autobiographies. For who is not capable of recounting the important events of his existence to an attentive listener, events which he remembers and among which he can choose, leaving aside what is not important and speaking only of the essential? One need only have a certain gift for story-telling and know how to write. And even this second condition, in fact, is not essential, since an oral description can be transcribed by someone else, an author or an ethnographer, who respects the descriptions given by the autobiographer more or less faithfully. (shrink)

The paper’s main task is to show how much Hume’s philosophy of passions is indebted to and continues the tradition of the philosophy of affects of the 17th century, in spite of the obvious fact that he departed from the main philosophical project of the 17th century, the tripartite unity of mathematics, metaphysics, and mechanical physics. A restructuring of Hume’s order of passions and its comparison to the order followed by Descartes will show up a special „cognitivist” character of Hume’s (...) thinking on emotion, even if the special experimental framework of Hume’s theory of passions prevents him from theorizing about the free will’s distinguished role in our lives or about the will’s grounding in the concept of a providentially active biblical God. (shrink)

The application of evolutionary perspectives to analyzing sex differences in aggressive behavior and dominance hierarchies has been found useful in multiple areas. We draw attention to the parallel of gender differences in the worsening health status of restructuring societies. Drastic socio-economic changes are interpreted as examples of hierarchy disruption, having differential psychological and behavioral impact on women and men, and leading to different changes in health status.

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)

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)

It is a central claim of György Márkus’s philosophy of 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’, 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 short communication includes comments on a single sentence cited from a recent paper by C. Ricotta. I discuss shortly the relationship between diversity and classification as well as the possibility of expressing diversity for continuous variables.Asimple example shows that the notion of diversity can be expanded to situations without an underlying classification. I suggest an evenness formula based on absolute deviations from the perfectly even distribution. If expressed for species data and multiplied by number of species in the community, (...) this becomes an easily interpretable diversity measure. It is stressed that conventional diversity formulae cannot be informative on community structure, but there is a solution. (shrink)

Recent neurophysiological observations are giving rise to the expectation that in the near future genuine biological experiments may contribute more than will premature speculations to the understanding of global and cognitive functions. The classical reflex principle — as the basis of neural functions — has to yield to new ideas, like autopoiesis and/or self-organization, as the basic paradigm in the framework of which the essence of the neural can be better understood. Neural activity starts in the very earliest stages of (...) development well before receptors and afferent input become functional. Under suitable conditions, both in nervous tissue cultures and in embryonic tissue recombination experiments, the conditions of such initial autopoietic activity can be studied. This paper tries to generalize this elementary concept for various neural centers, notably for the spinal segmental apparatus and the cerebral cortex. (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)

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)

According to the phenomenological argument for disjunctivism, the reasons why we should prefer the disjunctive theory over its rivals is that (1) the disjunctive theory conforms the most to our pretheoretical or natural convictions about perception (what Michael Martin calls naïve realism), and (2) we should commit ourselves to naïve realism because it conforms the most to the phenomenology of the perceptual experience of objects. In this paper, I try to explain why is the phenomenal argument exceptionally strong argument for (...) disjunctivism and at the same time against sense-datum and intentional theories. Furthermore, I try to show that the disjunctivist’s explanation of hallucination (which is allegedly the weak point of the theory) is as plausible as its rivals’. (shrink)

The goal of constructing artificial photosynthetic assemblies is to use sunlight for the generation of hydrogen from water; the hydrogen obtained should be an ideal energy source. The use of surfactant vesicle entrapped‐catalyst coated colloidal semiconductors and sacrificial electron donors for photosensitized water reduction illustrates how chemists mimic photosynthesis.

The paper examines consensual contractarianism John Rawls proposed in his A Theory of Justice, and develops the following criticism. The veil of ignorance device requires but cannot secure the neutrality of the primary goods. In the Rawlsian ‘original position’ of contract, the only relevant information the hypothetical choosers are allowed to have is that they all prefer to have some ‘primary goods’ rather than not to have any, and that they prefer to have more rather than less of the primary (...) goods. This stipulation entails that the ‘primary goods’ are neutral with regard to the diverging preferences of the choosers. In other words, for the Rawlsian contract to yield acceptable results, neutrality of the primary goods must hold. It cannot, however. Hence Rawls’ account of a consensual contract is untenable. The paper suggests that the difficulty is not rooted in the particular features of the Rawlsian theory but in the very idea of a consensual contract. (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)

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)

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)

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)

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)