The paper offers a formalization of reasoning about distributed multi-agent systems. The presented propositional probabilistic temporal epistemic logic $\textbf {PTEL}$ is developed in full detail: syntax, semantics, soundness and strong completeness theorems. As an example, we prove consistency of the blockchain protocol with respect to the given set of axioms expressed in the formal language of the logic. We explain how to extend $\textbf {PTEL}$ to axiomatize the corresponding first-order logic.

In this paper we consider the class of truth-functional modal many-valued logics with the complete lattice of truth-values. The conjunction and disjunction logic operators correspond to the meet and join operators of the lattices, while the negation is independently introduced as a hierarchy of antitonic operators which invert bottom and top elements. The non-constructive logic implication will be defined for a subclass of modular lattices, while the constructive implication for distributive lattices (Heyting algebras) is based on relative pseudo-complements as in (...) intuitionistic logic. We show that the complete lattices are intrinsically modal, with banal identity modal operator. We define the autoreferential set-based representation for the class of modal algebras, and show that the autoreferential Kripke-style semantics for this class of modal algebras is based on the set of possible worlds equal to the complete lattice of algebraic truth-values. The philosophical assumption is based on the consideration that each possible world represents a level of credibility, so that only propositions with the right logic value (i.e., level of credibility) can be accepted by this world, then we connect it with paraconsistent properties and LFI logics. The bottom truth value in this complete lattice corresponds to the trivial world in which each formula is satisfied, that is, to the world with explosive inconsistency. The top truth value corresponds to the world with classical logics, while all intermediate possible worlds represent the different levels of paraconsistent logics. (shrink)

We study a propositional probabilistic temporal epistemic logic $\textbf {PTEL}$ with both future and past temporal operators, with non-rigid set of agents and the operators for agents’ knowledge and for common knowledge and with probabilities defined on the sets of runs and on the sets of possible worlds. A semantics is given by a class ${\scriptsize{\rm Mod}}$ of Kripke-like models with possible worlds. We prove decidability of $\textbf {PTEL}$ by showing that checking satisfiability of a formula in ${\scriptsize{\rm Mod}}$ is (...) equivalent to checking its satisfiability in a finite set of finitely representable structures. The same procedure can be applied to the class of all synchronous ${\scriptsize{\rm Mod}}$-models. We give an upper complexity bound for the satisfiability problem for ${\scriptsize{\rm Mod}}$. (shrink)

The great variety of meditation techniques found in different contemplative traditions presents a challenge when attempting to create taxonomies based on the constructs of contemporary cognitive sciences. In the current issue of Consciousness and Cognition, Travis and Shear add ‘automatic self-transcending’ to the previously proposed categories of ‘focused attention’ and ‘open monitoring’, and suggest characteristic EEG bands as the defining criteria for each of the three categories. Accuracy of current taxonomies and potential limitations of EEG measurements as classifying criteria are (...) discussed. (shrink)

Since in Heyting Arithmetic all atomic formulas are decidable, a Kripke model for HA may be regarded classically as a collection of classical structures for the language of arithmetic, partially ordered by the submodel relation. The obvious question is then: are these classical structures models of Peano Arithmetic ? And dually: if a collection of models of PA, partially ordered by the submodel relation, is regarded as a Kripke model, is it a model of HA? Some partial answers to these (...) questions were obtained in [6], [3], [1] and [2]. Here we present some results in the same direction, announced in [7]. In particular, it is proved that the classical structures at the nodes of a Kripke model of HA must be models of IΔ1 and that the relation between these classical structures must be that of a Δ1-elementary submodel. MSC: 03F30, 03F55. (shrink)

Let us imagine an actor on stage presenting an impersonation of a certain politician, his manners and his body language. Now, suppose another actor sitting in the audience, impressed by the show and deciding to adopt something of his colleague’s style. He rents another stage and presents an impersonation of the same politician according to what he has learned. What does he actually do? In a certain sense he “imitates” the politician, but in another sense he “imitates” the first actor, (...) whose theatrical style he has adopted.These of course are two entirely different activities, but language marks them both as “imitation.” This lack of differentiation is not a caprice of a particular language; even languages that.. (shrink)

Rafael Malach is currently a professor in the department of Neurobiology at the Weizmann Institute in Israel. His current research is aimed at understanding how the neuronal circuitry in the human brain translates a stream of sensory stimuli into meaningful perception. Rafael Malach received his PhD in physiological optics from UC Berkeley and did his post-doctorate research at MIT. Originally doing research on the organization of neuronal connections in the primate brain, his focus has recently shifted to the study of (...) the human cerebral cortex using fMRI. Professor Malach has begun this research at Massachusetts General Hospital, exploring a new object-related region called the lateral occipital complex. Since then he expanded this research, studying the human visual cortex using a variety of methods, including adaptation paradigms, backward masking, and more recently naturalistic stimuli--all aimed at deciphering the intriguing link between perceptual experience and brain activity. (shrink)

Publication date: 2 May 2019 Source: Author: Zoran Mastilo Aim of this paper is to, by means of comparative analysis, demonstrate that contemporary pension systems are limitation factors of development of the Republic of Srpska, and that they should be reformed and improved. Ultimately, pension systems should be the basis for development of the Republic of Srpska. They should significantly improve strengthening of financial markets, enhancement of capital markets, higher growth rates of the Republic of Srpska, idecrease of unemployment. (...) Private pension funds are to change the habits and ideas of every future insurance holder, aiming to make the pension rights a matter of concern of every individual, instead being the obligation and ballast of the society. Today, stabile financing of pension systems and their funds is becoming increasingly questionable. A gap is emerging between the area of rights gained by law and financial possibilities for their implementation. Pay-as-you-go systems, i.e. systems of inter-generation solidarityare particularly endangered. Adequate systematization of gathered data, i.e. evidence, should provide conclusions that pension systems are a limitation todevelopment of national economy. This claim is present in underdeveloped and developing countries, with developed economies also facing grave problems. (shrink)

. A paraconsistent logic is a logical system that attempts to deal with contradictions in a discriminating way. In an earlier paper [Notre Dame J. Form. Log. 49, 401–424], we developed the systems of weakening of intuitionistic negation logic, called and, in the spirit of da Costa's approach by preserving, differently from da Costa, the fundamental properties of negation: antitonicity, inversion and additivity for distributive lattices. Taking into account these results, we make some observations on the modified systems of and, (...) and their paraconsistent properties. (shrink)

U svetu arhajskog čoveka -- Kožev--"posthumni" mislilac -- Žan Delimo ili apologija pesimizma -- Pitanje tragedije.

The author starts from the hypothesis that it is essential for the countries of the region to critically assess the synergy established between systemic, political corruption and a selectively weak,?devious? nature of the state. Moreover, the key dilemma is whether the expanded practice of political rent seeking supports the conclusion that the root of all corruption is in the very existence of the state - particularly in excessive, selective and deforming state interventions and benefits that create a fertile ground for (...) corruption? The author argues that the destructive combination of weak government and rampant political corruption is based on scattered state intervention, while also rule the parties cartel in the executive branch subordinate to parliament, the judiciary and the police. Corrupt exchange takes place with the absence of strong institutional framework and the precise rules of the political and electoral games, control of public finances and effective political and anti-monopoly legislation and practice included. Exit from the current situation can be seen in the realization of effective anti?corruption strategy that integrates preventive and repressive measures and activities and lead to the establishment of principles of good governance. (shrink)

It is argued that the so-called “absolute space-time theory” is inconsistent, in disagreement with some astronomical observations, and improperly titled.

Publication date: 28 April 2021 Source: International Letters of Social and Humanistic Sciences Vol. 90 Author: Zoran Mastilo, Nenad Božović, Dejan Mastilo The paper addresses and evaluates the currency board policy and assesses whether the currency board, as a form of monetary policy, is in the function of development of Bosnia and Herzegovina's national economy. In this context, a hypothesis that the currency board provides the foundation for growth and development of a transition economy is being put to the (...) test. To test the hypothesis, the paper compares the movement of economic growth indicators among the countries of South Eastern Europe with the primary focus on Bosnia and Herzegovina. By comparing the obtained results, as well as by applying the correlation and regression analysis, by means of simple linear regression, it is proven that the currency board does not represent an obstacle to economic growth, but is the basis for establishing the stability of the economy and the basis for sustainable growth and development able to adequately respond to shocks. (shrink)

It is proved that MacLane''s coherence results for monoidal and symmetric monoidal categories can be extended to some other categories with multiplication; namely, to relevant, affine and cartesian categories. All results are formulated in terms of natural transformations equipped with graphs (g-natural transformations) and corresponding morphism theorems are given as consequences. Using these results, some basic relations between the free categories of these classes are obtained.

In this paper we propose substructural propositional logic obtained by da Costa weakening of the intuitionistic negation. We show that the positive fragment of the da Costa system is distributive lattice logic, and we apply a kind of da Costa weakening of negation, by preserving, differently from da Costa, its fundamental properties: antitonicity, inversion, and additivity for distributive lattices. The other stronger paraconsistent logic with constructive negation is obtained by adding an axiom for multiplicative property of weak negation. After that, (...) we define Kripke-style semantics based on possible worlds and derive from it many-valued semantics based on truth-functional valuations for these two paraconsistent logics. Finally, we demonstrate that this model-theoretic inference system is adequate—sound and complete with respect to the axiomatic da Costa-like systems for these two logics. (shrink)

This article investigates the tenet of Object-Oriented Ontology (OOO) that art, like philosophy, is a form of cognition different from literal knowledge by applying key OOO concepts to the analysis of the Renaissance painting The Ambassadors (1533), a double portrait by Hans Holbein the Younger (1497/98–1543). The Ambassadors is found to exemplify the key principles of OOO in its treatment of objects and their relationships. Through an OOO lens, the painting becomes not merely a literal representation of the subjects and (...) their possessions, but a dynamic interplay of real and sensual qualities that exceeds any straightforward paraphrase. The figures and objects in the work are not simply passive symbols, but active agents that withdraw from direct access, preserving their autonomy and inviting the viewer’s participatory engagement. Holbein’s masterpiece comes alive precisely by troubling its own representational coherence, drawing the viewer into an uncanny encounter with the withdrawn depths of objects. By reading The Ambassadors through an object-oriented framework, the painting exemplifies art’s capacity to operate as a non-literal form of cognition, irreducible to mere symbolic codes or propositional knowledge. (shrink)

This article critically examines the emergent phenomena of AI-generated and NFT art through the lens of Georg Lukács’ theory of reification and its existential implications. Lukács argued that under capitalism, social relations and human experiences are transformed into objective, quantifiable commodities, leading to a fragmented and alienated consciousness. Applying this framework to AI and NFT art, these technologies can be said to represent extreme examples of the reification of art and creativity in the digital age. AI art generators reduce artistic (...) production to abstract, computable properties divorced from lived experience, while NFTs transform digital art into speculative commodities, imposing the logic of private property and exchange value onto the previously open domain of online culture. The existential dimension of this reification is explored, raising questions about the nature of creativity, originality, and the value of art in an increasingly financialized and automated world. The article suggests that a Lukácsian critique must not only diagnose the reified character of these cultural forms but also identify their potential for resistance and transformation, pointing toward a re-humanized and emancipatory vision of art in the digital age. Contemporary theorists such as Tiziana Terranova, Nick Dyer-Witheford, and Benjamin Noys are invoked to further elucidate these issues. (shrink)

An extension of the notion of dinatural transformation is introduced in order to give a criterion for preservation of dinaturality under composition. An example of an application is given by proving that all bicartesian closed canonical transformations are dinatural. An alternative sequent system for intuitionistic propositional logic is introduced as a device, and a cut-elimination procedure is established for this system.

Raspravljamo o ulozi predpojmovnog kompleksnog mišljenja u znanstvenoj spoznaji i razvoju znanosti. Kompleksno mišljenje sa svom heterogenošću i imaginacijom omogućuje pojmovne strukture i reorganizaciju cjelokupnih teorijskih mreža, ali to 'naplaćuje' latentnim prisustvom protislovja i nekonzistentnosti. Galilei još nema izrađenu potpunu pojmovnu shemu mehanike, pa možemo reći da je njegove teorijska osnova uronjena u kompleksnu razinu, ali se oslanja na matematičku strukturu i eksperiment i time uspjeva formirati jednu stabilnu teorijsku organizaciju. Možemo u izvesnom smislu reći da je time kompleksno mišljenje (...) u znanosti bilo podignuto na višu razinu i dovedeno u pred-paradigmatično razdoblje. (shrink)

U nacrtu ovog projekta raspravlja se o izazovima pred kojim se nalazi nacionalna drzava u dinamicnim procesima globalizacije. Prvo se nastoji odrediti pojam globalizacije kao decentralizovani proces kondenzacije i homogenizacije prostora i vremena a zatim se ukazuje na ambivalentnu strukturu diskursa o globalizaciji - njegovu semanticku i pragmaticku dimenziju. Potom se izlaze neoliberalno glediste o eroziji i slabljenju nacionalne drzave usled premoci globalnog kapitalistickog pogona, kako u pogledu njenih tradicionalnih funkcija tako i u pogledu njenog internog i eksternog suvereniteta. Protiv (...) neoliberalne teze o eroziji nacionalne drzave izneseni su mnogi uglavnom empirijski argumenti. Neki od njih su prezentovani u ovom tekstu. Poenta ove argumentacije sastoji se u generalnom stavu da izmedju erozije nacionalne drzave i procesa globalizacije ne postoji jaka veza. U skladu sa prezentovanom kritickom argumentacijom tvrdi se da u uslovima globalizacionih procesa samo ona drustva iza kojih stoji jaka i stabilna drzava imaju izglede na uspeh. Politika a ne ekonomija i dalje dominira medjunarodnim odnosima. Naglasavanje momenta drzavne politike otvara novu perspektivu u razmatranju procesa globalizacije. Tekuci globalizacioni procesi ne mogu se razumeti nezavisno od geopolitickih interesa i promene balansa svetske moci. Tekst se zavrsava ukazivanjem na ideologicnost neoliberalnog diskursa o globalizaciji propitivanjem druge bazicne i nereflektovane pretpostavke ovog diskursa po kojoj su procesi globalizacije u isto vreme i procesi emancipacije. Osporavanjem nuzne veze izmedju globalizacije i emancipacije gradi se pozicija sa koje je moguca normativna kritika tekucih procesa. (shrink)