We examine some of Connes’ criticisms of Robinson’s infinitesimals starting in 1995. Connes sought to exploit the Solovay model S as ammunition against non-standard analysis, but the model tends to boomerang, undercutting Connes’ own earlier work in functional analysis. Connes described the hyperreals as both a “virtual theory” and a “chimera”, yet acknowledged that his argument relies on the transfer principle. We analyze Connes’ “dart-throwing” thought experiment, but reach an opposite conclusion. In S , all definable sets of reals are (...) Lebesgue measurable, suggesting that Connes views a theory as being “virtual” if it is not definable in a suitable model of ZFC. If so, Connes’ claim that a theory of the hyperreals is “virtual” is refuted by the existence of a definable model of the hyperreal field due to Kanovei and Shelah. Free ultrafilters aren’t definable, yet Connes exploited such ultrafilters both in his own earlier work on the classification of factors in the 1970s and 80s, and in Noncommutative Geometry, raising the question whether the latter may not be vulnerable to Connes’ criticism of virtuality. We analyze the philosophical underpinnings of Connes’ argument based on Gödel’s incompleteness theorem, and detect an apparent circularity in Connes’ logic. We document the reliance on non-constructive foundational material, and specifically on the Dixmier trace −∫ (featured on the front cover of Connes’ magnum opus) and the Hahn–Banach theorem, in Connes’ own framework. We also note an inaccuracy in Machover’s critique of infinitesimal-based pedagogy. (shrink)

This article seeks to clarify the concept of progress in philosophy. It treats progress as a kind of development. But not every development is a progress. When we talk about progress, what really matters is the direction of development. In some cases it is relatively easy to reach agreement about this direction. But not in the case of philosophy, if we abstract it from the obvious and the trivial, like the number of books on philosophy. As a result, the article (...) concludes that there cannot be progress in philosophy. Instead we see a continual multiplication of interpretations. (shrink)

InhaltStichworte zur Dialektik der Freiheit oder Durchaus untaugliche Ausfuhrungen zur Philosophie Milan PruchasJ. Kosta, Das interdisziplinare Forschungsprojekt des Prager Fruhlings von 1968J. Kotik, Der LandvermesserKonzepte der DialektikM. Theunissen, Dialektik der Endlichkeit - Hegel von Heraklit bis DerridaC. Iber, Begriff und Kategorien negativer Dialektik bei AdornoA. Arndt, Figuren der Endlichkeit - Zur Dialektik nach KantB. Scholze, Die dialektische Aufwertung der Rhetorik: Zu Adornos Theorie der DarstellungMotive der Philosophie Hegels und ihre WirkungM. Sobotka, Hegels Spruch: Gott ist totM. Rolli, Zum Vergangenheitscharakter (...) der Hegelschen AsthetikA. Jubara, Vom Reich des Antichristen zum Homogenen Weltstaat. Das "Ende der Geschichte" bei Vladimir Solov'ev und Alexandre KojeveDie Differenz denkenC. Friedrich, Differenz und Wiederholung in der Sprache. Fur eine Konzeption der Sprache ohne TelosR. Krause, Verkehrte Welt - Dialektisch denken mit DeleuzeD. Benseler, Den Krieg finden. Bemerkungen zu Lyotards skeptischer Konzeption der PraxisMilan Prucha - Auswahlbibliographie. (shrink)

We consider games over a finite alphabet with Gurevich-Harrington's winning conditions and restraints as in Yakhnis-Yakhnis . The game tree, the Gurevich-Harrington's kernels of the winning condition and the restraints are defined by finite automata. We give an effective criterion to determine the winning player and an effective presentation of a class of finite automata defined winning strategies.Our approach yields an alternative solution to the games considered by Büchi and Landweber . The BL algorithm is an important tool for solving (...) effectively presented games. The differences between the BL and our algorithms are as follows. Our algorithm is uniformly applicable to winning sets that correspond to boolean combinations of BL winning conditions, while the BL algorithm requires a transformation of such boolean combinations into a single BL condition. Our algorithm directly applies to a larger class of game trees for a given game alphabet than does the BL one. We describe Büchi-Landweber's class of winning conditions in a more transparent way by using finite automata and Gurevich-Harrington's form of winning conditions. Our algorithms that determine the winner of the game and find a winning strategy, are based on a translation of the events in the game in terms of the transition table of the automaton representing the game. This automaton differs from the ones that represent BL winning conditions. Both algorithms need further investigation.The algorithm determining the winner in the game, can be used as a verifier of concurrent programs. This is because programs can be viewed as strategies in Gurevich-Harrington's games and program specifications could be regarded as winning conditions for such games. The algorithm which finds a winning strategy could be used as a basis for automated concurrent program design.The present paper is a sequel to Annals of Pure and Applied Logic 48 277–297. (shrink)

The short exposition of the triplet model of concepts and some definitions connected with it are given. In this model any concept may be depicted as having three characteristics: a base, a representing part and the linkage between them. The paper introduces the fuzzification of concepts in terms of the triplet model.

The scheme for classifications of concepts is introduced. It has founded on the triplet model of concepts. In this model a concept is depicted by means of three kinds of knowledge: a concept base, a concept representing part and the linkage between them. The idea of triplet classifications of concepts is connected with a usage of various specifications of these knowledge kinds as classification criteria.

The book by Max Tegmark draws attention to the dangers and benefits that await humanity as a result of the Artificial Intelligence (AI) technologies development. Cosmologist and astrophysicist Tegmark, realizing the impossibility to predict the AI development, offers exciting scenarios of civilization development options for tens, thousands, millions and billions of years. The analysis of the opposite scenarios is aimed at the idea formation that the consequences of creating a general AI, superior to the human level, will be more significant (...) than from all other achievements of civilization. Tegmark is one of the founders and leaders of the “Beneficial AGI” movement, he presents the results of the discussion of the issues he raises with leading experts in the field of AI. Tegmark concludes his book with a call to optimism: “My book urge you to think about what future you would like, and not what future scares you, this way we can find goals for which it’s worth working”. (shrink)

Qu'est-ce que la musique? Selon Jankélévitch, il y a dans la musique une double complication, génératrice de problèmes métaphysiques et de problèmes moraux. Car la musique est à la fois expressive et inexpressive, sérieuse et frivole, profonde et superficielle ; elle a un sens et n'en a pas. Il y a une ironique disproportion entre la puissance incantatoire de la musique et l'inévidence foncière du beau musical.

The Cell Cycle Ontology (CCO) has the aim to provide a ‘one stop shop’ for scientists interested in the biology of the cell cycle that would like to ask questions from a molecular and/or systems pe...

The triplet model treats a concept as complex structure that expresses three kinds of information. The first is about entities subsumed under a concept,their properties and relations. The second is about means and ways of representing the first information in intelligent systems. The third is about linkage between the first and second ones and methods of its constructing. The application of triplet models to generalization and development of concept models in philosophy, logic, cognitive psychology, cognitive science, linguistics, artificial intelligence has (...) been demonstrated. The componential structure of the triplet model and extended concept classification have been given. Theoretical considerations are combined with historical case-studies of concept history. For scientists and students with an interest in problems of knowledge structure and representation. Abstract and Extended Summary in English. (shrink)

This paper argues that despite prima facie impressions, the first Stoics (the 3rd c. bc) put forward a conception of rhetoric of similar if not of equal importance as that of Plato and Aristotle, who represent two landmarks in the earliest development of what we may call ‘philosophical rhetoric’. The paper shows that the Stoics built upon their predecessors’ ideas, and that once we see this continuity, common features in Plato’s, Aristotle’s and the Stoics’ conception of rhetoric come to the (...) fore. For all of them argumentation, logical or dialectical, is at the core of philosophical rhetoric. The paper also addresses passages in Plutarch which accuse the Stoics of contradiction in their approach to rhetoric. (shrink)

The subject of this study is the participants in artificial sociality (humans and artificial intelligence (AI) tools) and communication between them. The first section analyses (using Luhmann’s methodology) communication as the basis of sociality. The second section shows how AI tools became social technologies in the framework of artificial sociality. The third section describes experimental communication between authors and AI tools (the case of ChatGPT). For the first time in the Baltic countries, the authors examined sociological, humanitarian, natural and technological (...) aspects of the functioning AI tools, which participate in creation of a new social reality for human society – artificial sociality. (shrink)

The paper has three objectives: to expound a set-theoretical triplet model of concepts; to introduce some triplet relations (symbolic, logical, and mathematical formalization; equivalence, intersection, disjointness) between object concepts, and to instantiate them by relations between certain physical object concepts.

It is proposed to analyze fuzzy concepts and relations between them in the frame of triplet concept modeling. Fuzzy concepts are introduced by means of the so-called fuzzification of dichotomous concepts. The cognitive and psychological aspects of concept possession are separated and studied.

It is proposed to analyze the unity of scientific knowledge in terms of its structure-nominative reconstruction. -/- .

The aim of the paper is to consider the situation with the social class stratification in Latvia. The focus is on the middle social class, due to the significance of this class both for the economic growth and the achievement of the sustainable, long-term development of the country. The subject of sociological research is the formation of class stratification in the region (estimated on the basis of cluster analysis), the main characteristics of the selected clusters based on the analysis of (...) the volumes and structure of total resources and aggregate capital. In the conclusion of the article, the controversial issues of classes in modern societies are analyzed. (shrink)

The researchers of the Institute of Social Investigations at Daugavpils University (Lat­via) carried out a project “Mobile Lifestyle of Today’s Youth” based on a new paradigm of mobilities (John Urry). The aim of the investigation was a study of the characteristics of mobile lifestyle perceived by the youth of Daugavpils. The most significant factors that contribute to the realization of mobile lifestyle are defined, the disproportions in the youth’s empowerment of its network capital are identified, the ways for the youth (...) to optimize its mobility to increase competitiveness in the labour markets are outlined. (shrink)

Mobile lifestyle is a comparatively little studied phenomenon, although the development of information and communication technologies significantly changes almost all manifestations of our life. Mobility, network capital, social and humanitarian technologies are becoming substantial conditions for successful employment. The purpose of the article is to analyse the results of the sociological project where youth of Latvia and Belarus became the object of research, in order to determine problems of mobile lifestyle in the aspect of employment through general and special perception (...) of young people of two countries with differing economic systems. (shrink)

In the present article, the authors continue their sociological interpretations of theempiric data obtained in the research project “Aggregate Capital, Its Structure andRelation to Labour Migration” (2012). The following hypothesis has been proved: ahigher predisposition for the labour migration is more typical for economically activeregion’s inhabitants with fairly high amounts of some indicators of the aggregatecapital, especially physical capital, but with a comparatively lower amount of culturalcapital, which could transform into human capital and further into economic capital inLatgale or Latvia. (...) An in-depth analysis of the factors of life success has revealed that,in general, our respondents tend to assign the lead role not to the personal competitivecharacteristics (resources) but rather to the specificity of the social environment: anexplanation of life success by means of a set of variables that, on the whole, describeit as a socio-political innovation with criminal tendencies (political corruption) is themost spread one. (shrink)

We argue that the most‐promising area of clinical application of microarrays in the foreseeable future is the diagnostics and monitoring of infectious diseases. Microarrays for the detection and characterization of human pathogens have already found their way into clinical practice in some countries. After discussing the persistent, yet often underestimated, importance of infectious diseases for public health, we consider the technologies that are best suited for the detection and clinical investigation of pathogens. Clinical application of microarray technologies for the detection (...) of mycobacteria, Bacillus anthracis, HIV, hepatitis and influenza viruses, and other major pathogens, as well as the analysis of their drug‐resistance patterns, illustrate our main thesis. BioEssays 30:673–682, 2008. © 2008 Wiley Periodicals, Inc. (shrink)

L’article aborde le sujet souvent débattu du rapport entre le détermi­nisme stoïcien et la morale pour rouvrir la question de la notion d’assentiment. Dans ce but, il réexamine les sources pour montrer deux choses : que les inter­prétations dites compatibilistes ont raison dans leur effort général pour montrer que les stoïciens restent déterministes quand ils présentent leur psychologie de l’action et défendent l’idée de responsabilité, mais qu’en même temps elles vont trop loin quand elles affirment – dans un effort de (...) systématisation de la stratégie stoïcienne – que l’assentiment est le simple effet de la rencontre du caractère particulier de l’agent et de l’impression sensorielle. En essayant de restituer l’ac­cent que les stoïciens ont mis sur l’assentiment, l’article indique que c’est égale­ment là que réside l’ambigüité de leur psychologie de l’action, qui a contribué au paradoxe dans l’interprétation du stoïcisme : ce dernier a été dès l’origine, d’un côté, une inspiration pour ceux qui ont voulu argumenter en faveur de la liberté de l’action humaine, et de l’autre, le sujet de la critique pour la réfutation de la liberté de l’action. Dans son ensemble l’interprétation proposée est négative dans le sens où elle veut montrer comment ne pas comprendre l’assentiment, pour ouvrir la possibilité de l’examiner de nouveau, ce qui pourrait montrer enfin que l’ambigüité mentionnée est par conséquent l’expression du plus grand potentiel philosophique de la conception stoïcienne de la raison. (shrink)

The Stoics’ way of presenting principles – the active and the passive – is ambiguous because they say that principles are two while also suggesting that they are inseparable and thus interdependent. This ambiguity cannot be resolved in favour of one or the other side of the dilemma, as is shown by analysis of two possible models of the relations among principles – a causal and a categories-based model. This ambiguity is rather a necessary consequence of the Stoic view of (...) principles and should be compared to the ambiguity of Plato’s concept of “principles” in the Timaeus. Plato’s Receptacle is in a similar relation to other constitutive elements of his cosmogonical account as are the two Stoic principles, each to the other. In particular, the relation between the Receptacle and qualities in it is to be seen as a systematic parallel to the relation of the Stoic principles (and probably also its historical model). The concluding claim is that Plato and the Stoics advance a similar kind of dualism which should be called such, despite its ambiguity. The ambiguity in both systems is due to the need to see the principles in such a relation as would reveal their dependence, and thus secure the basic unity of the cosmos. (shrink)

Ovaj tekst nastoji da nijansira dihotomiju izmedju pojmova istorije i pravde koja je uobicajena u interpretaciji Hobzovog misljenja. Hobzov kriticki stav prema istoriji objasnjava se njegovom polemikom protiv nasledja klasicne antike, koja stoji u vezi s njegovim projektom stroge nauke o moralu i politici. Medjutim, Hobzovo shvatanje pravde ne moze se zasnovati bez izvesnih faktickih, empirijskih elemenata; ono se ne svodi na neku cisto racionalnu konstrukciju. Ovi elementi otvaraju Hobzovo misljenje prema problematici stvarne istorije; za Hobza, najvazniji predstavnici takve vrste (...) istorije su Tukidid i Tacit. Konacno, istorijska dimenzija Hobzovog misljenja dopusta nam da kod njega prepoznamo i jedan siri pojam pravde, koji probija granice pravde koja proizlazi iz ugovora. (shrink)

Prvi deo ovog rada, objavljen u prethodnom broju casopisa, bio je posvecen razmatranju religijskog porekla dvojnosti 'duha' i 'slova', a zatim i pitanju njenog znacenja u kontekstu filozofije ranog nemackog idealizma. Ovaj, drugi i zakljucni deo rada usredsredjuje se na eticke implikacije tog pitanja, posto je suprotstavljanje 'duha2 Kantovog sistema njegovom 'slovu', uz cesta pozivanja na novozavetno ispunjenje mojsijevskog zakona ljubavlju i verom predstavljalo jednu od osnovnih strategija kriticara Kantove teorije morala. Krajnja konsekvenca ovog pravca kritike Kanta lezi u ukidanju (...) autoriteta transcendentne moralne norme. Ovaj korak, kojim se istovremeno ponistava autoritet teksta kao takvog, a time i stav komentara kao literarnog zanra moze se uociti vec u Hegelovim mladalackim teoloskim spisima, u kojima se zastupa ukidanje transcendencije moralnog zakona njegovim inkorporiranjem u slobodnu subjektivnost koja egzistira u zajednici verujucih hriscana. (shrink)

The purpose of this paper is to shed light on different aspects of the hermeneutical problem in post-Kantian philosophical 'constellation'. In this domain, the problem of the relationship between the text and its commentary is theorized in terms of the antithesis between 'Spirit' and 'Letter', which clearly has religious roots. Therefore, the first part of the paper examines the historical origins of this antithesis, as well as its application in philosophical discussions which developed by the end of the 18th century (...) about the problem of finding the 'true' interpretation to Kant's philosophy. The second part of the text, which is to be published in the next issue of this review, brings the duality of spiritual and literal interpretation into closer connection with the topics of Kant's moral philosophy. Namera ovog rada je da osvetli razlicite aspekte hermeneutickog problema u poslekantovskoj filozofskoj 'konstelaciji'. U ovom podrucju, problem odnosa izmedju teksta i komentara postavlja se u terminima antiteze izmedju 'duha' i 'slova', koja ima prepoznatljive religijske korene. Zato prvi deo rada istrazuje istorijsko poreklo ove antiteze, kao i njenu primenu u filozofskim diskusijama koje su se krajem 18. veka razvile povodom problema pronalazenja 'pravog' tumacenja Kantove filozofije. U drugom delu rada, koji ce biti objavljen u sledecem broju casopisa, dvojnost duhovnog i doslovnog tumacenja dovodi se u uzu vezu sa tematikom Kantove teorije morala. (shrink)

This text examines some parallels between Walter Benjamin’s “critique of violence” and the theory of violence proposed by Gilles Deleuze and Félix Guattari. Whatever the differences between these two approaches, they both share an important common feature, defining the violence of state and law in terms of a “violence which presupposes itself”. This circular structure of the concept of violence renders utterly problematic the attempts to envisage a wholly other, revolutionary form of violence, which could be opposed to that of (...) the state or its law. Benjamin’s hypothesis of a divine violence which breaks the circle of the mythical one, as well as the Deleuzo-Guattarian concept of the war machine, have been devised in order to come to terms with this situation. However, these concepts are not intended to serve as a basis for the legitimation of possible acts of counter-violence. What they assert is rather the fundamental and irreducible unavailability of the event in the sphere of social struggles, where our actions can neither be calculated in advance as to their results nor be ultimately justified. (shrink)

This article analyzes the issues associated with the publication of Martin Heidegger’s Black Notebooks. We attempt to explain the very publication of this document as a kind of experiment the philo...

Name der Zeitschrift: Paragrana Jahrgang: 23 Heft: 2 Seiten: 25-39.