The idea of obtaining a pilot-wave quantum theory on a lattice with discrete time is presented. The motion of quantum particles is described by a \-distributed Markov chain. Stochastic matrices of the process are found by the discrete version of the least-action principle. Probability currents are the consequence of Hamilton’s principle and the stochasticity of the Markov process is minimized. As an example, stochastic motion of single particles in a double-slit experiment is examined.

EDITOR'S INTRODUCTION The present volume of "Poznari Studies in the Philosophy of the Sciences and the Humanities", entitled "Consciousness: methodological ...

Jerzy Perzanowski s ideas were based on an original blend of logic and ontology in what he called onto/logic, where the slash is meant to suggest a quotient of ontology by logic. Perzanowski began as a logician, his early works being on modal logic, then gradually shifted his interest to logical philosophy, meaning not so much philosophy of logic as philosophy informed by logic. Perzanowski was a rare breed of analytical philosopher who thought that a philosophical theory of everything (...) was worthwhile. In this systematic spirit, he began with method. He presented his method of total analysis and synthesis quite simply: reduce the object of research to its simplest possible constituents, and then combine them in some way. Better still, combine them in every possible way, thereby producing a space of possibilities analogous to (and in certain cases identical with) the logical space. Thus, analysis and synthesis differ from a trivial disassembly and reassembly.". (shrink)

Jerzy Franczak comprehensively presents Jacques Rancière's thought by emphasizing the relations between politics and literature. The detailed analysis considers the context of modern aesthetics and political philosophy, which is why the book introduces further protagonists, such as Louis Althusser, Michel Foucault, Pierre Bourdieu, or Jean-François Lyotard. Franczak first reconstructs Rancière's original philosophy of literature so as to then immediately apply it in readings of select world literature masterpieces by Gustav Flaubert, Max Jacob, Bertold Brecht, Vladimir Nabokov, and Philip Roth.

We consider consciousness attributed to systems in space-time which can be purely physical without biological background and focus on the mathematical understanding of the phenomenon. It is shown that the set theory based on sets in the foundations of mathematics, when switched to set theory based on ZFC models, is a very promising mathematical tool in explaining the brain/mind complex and the emergence of consciousness in natural and artificial systems. We formalise consciousness-supporting systems in physical space-time, but this is localised (...) in open domains of spatial regions and the result of this process is a family of different ZFC models. Random forcing, as in set theory, corresponds precisely to the random influence on the system of external stimuli, and the principles of reflection of set theory explain the conscious internal reaction of the system. We also develop the conscious Turing machines which have their external ZFC environment and the dynamics is encoded in the random forcing changing models of ZFC in which Turing machines with oracles are formulated. The construction is applied to cooperating families of conscious agents which, due to the reflection principle, can be reduced to the implementation of certain concurrent games with different levels of self-reflection. (shrink)

Problem republikanizmu należy do zespołu problemów polityki, którymi Kant zajął się już pod koniec życia. Rozwój i doskonalenie się człowieka nie mieści się w działaniu ludzkiej natury, która jest niezmienna, ale w osobowym działaniu wolności. Ostatecznym tego celem jest wieczny pokój. Warunkiem zaś rozwoju i osiągnięcia celu najwyższego jest zbudowanie ustroju republikańskiego. Kant pokazuje to m.in. na przykładzie rewolucji francuskiej. Choć jest zdecydowanym przeciwnikiem każdej rewolucji, ze względu na sposoby jej realizacji, to w tym przypadku jej skutki ocenia pozytywnie, gdyż (...) wyraziło się w niej prawo narodu do swobodnego nadania sobie ustroju obywatelskiego prawego i uznanego za dobry, jakim jest ustrój republikański. Ustrój republikański jest najlepszy ze wszystkich i określa formę państwa oraz ważniejszą od niej formę rządu, charakteryzującą się rozdzieleniem władz ustawodawczych i wykonawczych oraz trzema istotnymi zasadami: 1) zasadą wolności wszystkich obywateli; 2) zasadą zależności wszystkich od wspólnego prawa; 3) zasadą równości obywateli. (shrink)

Der Aufsatz beschäftigt sich mit den zahlreichen Polonica in der bekannten Zeitschrift, die bis 1918 eine wichtige Rolle in Österreich - auch für polnische Lehrer in Galizien - gespielt hat. Einer Analyse wurden einzelne philologische Sparten wie polnsiche, klassische, germanische Philologien unterzogen.

The axiom of canonicity was introduced by the famous Polish logician Roman Suszko in 1951 as an explication of Skolem's Paradox and a precise representation of the axiom of restriction in set theory proposed much earlier by Abraham Fraenkel. We discuss the main features of Suszko's contribution and hint at its possible further applications.

This note discusses some problems concerning intended, standard, and nonstandard models of mathematical theories. We pay attention to the role of extremal axioms in attempts at a unique characterization of the intended models. We recall also Jan Woleński’s views on these issues.

Henryk Chmielewski is the author of a historical comic book devoted to the 100th anniversary of Poland regaining its independence. The comic book of Chmielewski is a subjective vision of Polish history, because every act of creation is first of all an act of destruction. Artist says about very difficoult moment of Polish history (the 19th century, the early 20th century). He creates original story, argues, that the idea of Poland as an independent state was never not lost. Polish people (...) were formed armyduring the Napoleonic Wars, and Polish organisations started major uprisings (the Polish–Russian War of 1830–1831 and the January Uprising of 1863-64). Chmielewski creates an interesting picture of the world with the use of many varying forms, different codes (e.g. picture, word, photography). He use various means of expression: semantic, linguistic, compositional (see values, compotents: metannaration, digression, opposition "we" - "they", stereotype, appropriate words - freedom, Poland, Poles, relationship: fiction - real world, illusion, colloquial language). (shrink)

Among the composers with whom Wojciech Młynarski collaborated – a brilliant songwriter and penetrating satirist, librettist and translator, as well as a talented singer – was a completely unique artist, often referred to as the “Polish Gershwin” – Jerzy Wasowski. As a result of their nearly twenty years of cooperation, interrupted by Wasowski’s death in 1984, about thirty songs were created, most often being cabaret-satirical works or in the form of “sung columns”. Among the achievements of the Młynarski-Wasowski company (...) there are many “small masterpieces”, which are examples of masterly connections between words and music. The works they wrote together in the last period of their cooperation have been remembered in a special way by Młynarski. These songs were written at a special moment in the history of the People’s Republic of Poland – during the “Solidarity” carnival and during the martial law period. Moreover, the story of their proprietary company closed. The works they wrote last – in 1982 and 1983 – were described by Młynarski as “interesting songs”. During the martial law period, Młynarski decided to suspend public appearances – joining the artists who, in protest, decided to boycott the state media. He only took care of writing lyrics for new songs. At that time, he addressed the proposal to compose music mainly to Wasowski, who, like him, believed that one should continue to write, but – for now – “in the drawer”. Eight works were written then, six of which – Ballada o szachiście, Jestem piłeczką pingpongową, Po Krakowskim w noc majową, W miejskim teatrzyku lalek, Róbmy swoje, Ballada o dwóch koniach – had a satirical and journalistic character and entered Młynarski’s repertoire when he resumed his performances. Whereas the other two songs – Mam złe lata i dobre dni oraz Gram o wszystko – were lyrical-reflective pieces with female texts, and became their performers a few years later: Hanna Banaszak and Ewa Bem. This article analyzes one of these songs – Ballada o szachiście – aimed at explaining – in an elementary way – why Młynarski used the word “interesting” to refer to the songs written with Wasowski during the martial law period. This term is primarily intended to denote a work whose words and music were written in order to “give food for thought” to the audience. (shrink)

Autor niniejszego artykułu stawia tezę, iż w _Biblii Paulistów_, w szczególności zaś w tłumaczeniu Ewangelii i Psalmów, zastosowano tylko pozornie „język współczesny”, gdyż jej tekst w wielu wypadkach zapożycza pełne frazy z _Biblii Tysiąclecia_. Powstaje w ten sposób pewna hybryda językowa, mieszająca język potoczny i już utrwalony tradycją „polski styl biblijny”. Tezę tę ilustrują liczne przykłady oparte o analizowany tekst. Kolejną poruszaną kwestią jest teoretyczna i praktyczna zasadność samego faktu sięgania po język współczesny, a w istocie po język potoczny w (...) przekładzie Pisma Świętego. Z teoretycznego punktu widzenia jest to jednoznacznie sprzeczne z tradycją wyznaczoną przez _Wulgatę _św. Hieronima, którego przekładowy język naruszał kanony łaciny cycerońskiej (a więc języka naturalnie brzmiącego dla ówczesnego wykształconego odbiorcy) w trosce o jak największą wierność wobec oryginału. Święty Hieronim zderzał łacinę ze strukturami składniowymi języka hebrajskiego, w wyniku czego powstała pewna nowa jakość, odbierana jeszcze długi czas później jako „dobroczynny zgrzyt językowy” (sformułowanie A. Bermana), prowadzący również do poszerzenia zasobów języka docelowego. Ta zasada została przyjęta w późniejszych katolickich przekładach Biblii, w tym w przekładzie ks. Jakuba Wujka, i odrzucona dopiero przez nową tradycję protestancką zainaugurowaną przez Marcina Lutra. Z praktycznego natomiast punktu widzenia wolno zadać pytanie o duszpasterską skuteczność używania takiego języka i sięganie do tradycji protestanckiej w sytuacji, gdy kościoły protestanckie Europy pustoszeją mimo propozycji „chrześcijaństwa ułatwionego”. (shrink)

The article analyses the role of Church’s Thesis (hereinafter CT) in the context of the development of hypercomputation research. The text begins by presenting various views on the essence of computer science and the limitations of its methods. Then CT and its importance in determining the limits of methods used by computer science is presented. Basing on the above explanations, the work goes on to characterize various proposals of hypercomputation showing their relative power in relation to the arithmetic hierarchy. The (...) general theme of the article is the analysis of mutual relations between the content of CT and the theories of hypercomputation. In the main part of the paper the arguments for abolition of CT caused by the introduction of hypercomputable methods in computer science are presented and critique of these views is presented. The role of the efficiency condition contained in the formulation of CT is stressed. The discussion ends with a summary defending the current status of Church’s thesis within the framework of philosophy and computer science as an important point of reference for determining what the notion of effective calculability really is. The considerations included in this article seem to be quite up-to-date relative to the current state of affairs in computer science.1. (shrink)

In the first part of the article, Giuseppe Veronese’s concept of arithmetical constructivism is reconstructed from his dispersed remarks. It is pointed out that although for Veronese time is a necessary condition for the construction of natural numbers by an individual subject and the subject cognizes time in an a priori way, it is not a (proto-)intuition of the subject. This is a fundamental difference between the concept proposed by Veronese and the constructivism of Kant and Brouwer. Veronese’s justification of (...) the subject’s ability to cognize infinity, represented in his text by infinite sequences, is analyzed in the second part of the paper. The only condition for the cognition of the infinite sequence is to have a rule according to which its successive terms “follow one another.” The price of the ability to cognize the infinitive “whole” (sequence) may be the uncognizability of certain “parts” (terms of sequence). Infinite sequences, cognizable according to Veronese, are allowed as objects of mathematical research, although they do not meet the condition of constructability. (shrink)