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)

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)

Understanding inductive reasoning is a problem that has engaged mankind for thousands of years. This problem is relevant to a wide range of fields and is integral to the philosophy of science. It has been tackled by many great minds ranging from philosophers to scientists to mathematicians, and more recently computer scientists. In this article we argue the case for Solomonoff Induction, a formal inductive framework which combines algorithmic information theory with the Bayesian framework. Although it achieves excellent theoretical results (...) and is based on solid philosophical foundations, the requisite technical knowledge necessary for understanding this framework has caused it to remain largely unknown and unappreciated in the wider scientific community. The main contribution of this article is to convey Solomonoff induction and its related concepts in a generally accessible form with the aim of bridging this current technical gap. In the process we examine the major historical contributions that have led to the formulation of Solomonoff Induction as well as criticisms of Solomonoff and induction in general. In particular we examine how Solomonoff induction addresses many issues that have plagued other inductive systems, such as the black ravens paradox and the confirmation problem, and compare this approach with other recent approaches. (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)

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)

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)

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)

Papers of a meeting held Apr. 19-21, 2001, at the Technische Universitèat Berlin, on the topic "Zwischen Ursprung und Performanz--Konzeptionen des wissenschaftlichen Ereignisbegriffs.".

RésuméLa théorie avicenienne du mouvement des orbes célestes représente un aspect important de sa cosmologie qui n'a cependant pas encore été l'objet d'une étude approfondie. Cet article compte combler ce manque en fournissant une analyse des différents principes à l'origine du mouvement céleste, ainsi qu'une réflexion sur le rôle des disciplines astronomique, physique, et métaphysique dans les explications que fournit Ibn Sīnā à ce sujet. L'accent est mis sur le rapport des intelligences aux orbes et sur la problématique du passage (...) de l'intellectif au physique, un moment charnière dans la cinématique avicenienne. En outre, l'étude remet en question l'adhésion d'Ibn Sīnā à la théorie farabienne des dix intelligences et entreprend une reconstitution de son modèle cosmologique. (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).

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.

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)

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)

Any part of the world can be viewed and modelled in terms of its chosen qualitative and/or quantitative properties, OR its structure. The former approach has been used by nearly the whole of ‘human intellectual endeavor’, i.e conventional science of physics, the arts etc. Development of the latter or the ‘systemic view’ is the subject matter of the current work. The Purpose of Change is Problem Solving suggests that the ‘structural view’ is empirical, pervasive throughout experience and as such results (...) in a single domain as opposed to conventional science which consists of many domains like mechanics, electricity etc. Thus, a unique approach is required which is based on ‘general principles of systems’ translated into operational form by the symbolism of processed natural language called ‘linguistic modelling of scenarios’ which can carry mathematics and uncertainties. To model scenarios with complex structure, a description or story in natural language is expressed in terms of homogenous language of one – and two – place sentences, the ‘elementary constituents’ of which complex structures can be constructed [like a variety of buildings from bricks]. To correspond to the single domain, based on the logic of causation, a single scheme of ‘Management/producers – Product – User/consumer’ is proposed which is immediately applicable to structuring scenarios and guides their detailed linguistic modelling or design. The approach, subject to debate, can have significant impact on society and education, especially that of engineering which lacks a ‘comprehensive theory of structure’ of problematic scenarios. (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)