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.

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)

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.

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.

Herbert widmete der Musik – ganzheitlich oder in bedentenden Teilen – mindestens einige zehn Werke. Der Dichter konzentriert sich in den Gedichten auf die philosophischen und esthetischen Fragen. Er führt ein intelektuelles Gespräch, in dem er festlegen will, was Musik ist und welche Bedeutung sie in der bentigen welt hat. Die überlegungen van Herbert konzentrieren sich prinzipiell auf drei Fragen: die Idee der Musik der Sphären, die Kriese der Werten im 20. Jahrhundert und die Gedanken über den objektiven Wert der (...) Kunst der Klinge. (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)

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)

The old-fashioned concept of state is shown to be inadequate and misleading. Replacing it by a concept of information and taking advantage of the invariance of the mechanical description under time reversal puts the problems of the interpretation of quantum mechanics in a new light. A more realistic interpretation appears to be possible. Moreover, a new explanation of the Einstein-Podolsky-Rosen paradox is presented, too.

We give an almost explicit presentation of exotic functions corresponding to some exotic smooth structure on topologically trivial R4. The construction relies on the model-theoretic tools from the previous paper. We can formulate unexpected, yet direct connection between ‘‘localized’’ exotic small R4’s and some noncommutative spaces. The formalism of QM can be interpreted in terms of exotic smooth R4’s localized in spacetime. A new way of looking at the problem of decoherence is suggested. The 4-dimensional spacetime itself has built-in means (...) which may enforce a kind of decoherence. (shrink)

Author: Sawicki Jerzy Title: THELEOGICAL PRINCIPLE IN KANT’S METHODOLOGY (Zasada teleologiczna w metodologii Kanta) Source: Filo-Sofija year: 2005, vol:.5, number: 2005/1, pages: 281-292 Keywords: KANT, THELEOGICAL PRINCIPLE, FINALISM, MECHANICISM Discipline: PHILOSOPHY Language: POLISH Document type: ARTICLE Publication order reference (Primary author’s office address): E-mail: www:The work contains a concise of I. Kant’s views on the problem of the laws of nature and the theleological principle presented in this context, which Kant proposes in the character of a regulative methodological postulate. (...) The analysis of fundamental philosophical notions (the law of nature, necessity, causality, purpose) carried out from the position of an extreme aprioristic rationalism leads Kant to the conclusion about the basic impossibility of educing the conception of purpose (in relation to nature) from aprioristic transcendental laws, ie. such laws which the theoretical reason imposes to the nature by necessity. However, the fact of a total functioning of an organism does not fit, according to Kant, into the frames of a mechanically understood causality. Kant tries to solve this problem choosing the way of conclusion by analogy and finally he suggests to introduce into the living nature a specific causal relation in which the purposes constitute a particular kind of causes and results at the same time. That conception oscillates between mechanicism and theological finalism, and the fitting of a science system into the frames of aprioristic categories does not permit a finally decide about the supremacy of one or the other way of seeing the world. However, nevertheless, the perceiving and stressing of the peculiarity of organic symptoms, the formulation of the postulate about their unreductability to the law of a mechanical type constitute unquestionable and great merit of the author of the Criticism of the Judgment Authority. The idea of the totality of organism, though involved in subjective idealistic non consequences of Kant’s conceptions has in the given historical period all features of a deep and progressive thought, outpacing and inspiring several later research ideas, both in philosophy and in natural science. (shrink)

Chciałem Go pożegnać. Kilkakrotnie próbowałem napisać choć parę słów. O Nim samym. Okazało się, że nie potrafię. Udało mi się tylko przedstawić Jego poglądy na reizm Tadeusza Kotarbińskiego, ale uczyniłem to gdzie indziej. Muszę tu poprzestać na ofiarowaniu Mu tego, co napisałem na Jego dziewięćdziesiąte urodziny, w osiemdziesięciolecie naszej przyjaźni.

Science and Convention: Essays on Henri Poincare's Philosophy of Science and The Conventionalist Tradition contains essays concerned with Henri Poincare's philosophy of science, physics in particular, and with the conventionalist tradition in philosophy that he revived and reshaped, simultaneously with, but independently of, Pierre Duhem. Separating five essays as chapters, the book discusses the main ideas of the philosophy (Essays 1 and 5), traces at least some of its historical background (Essays 1, 2, and 3), and provides some of its (...) developments (Essays 2 and 4). (shrink)

The paper analyzes the philosophical consequences of the recent discovery of direct violations of the time–reversal symmetry of weak interactions. It shows that although we have here an important case of the time asymmetry of one of the fundamental physical forces which could have had a great impact on the form of our world with an excess of matter over antimatter, this asymmetry cannot be treated as the asymmetry of time itself but rather as an asymmetry of some specific physical (...) process in time. The paper also analyzes the consequences of the new discovery for the general problem of the possible connections between direction of time and time-asymmetric laws of nature. These problems are analyzed in the context of Horwich’s Asymmetries in time: problems in the philosophy of science argumentation, trying to show that existence of a time–asymmetric law of nature is a sufficient condition for time to be anisotropic. Instead of Horwich’s sufficient condition for anisotropy of time, it is stressed that for a theory of asymmetry of time to be acceptable it should explain all fundamental time asymmetries: the asymmetry of traces, the asymmetry of causation, and the asymmetry between the fixed past and open future. It is so because the problem of the direction of time has originated from our attempts to understand these asymmetries and every plausible theory of the direction of time should explain them. (shrink)

Time-symmetric formulation of quantum mechanics—the two-state vector formalism—is presented as a tool for studying past behaviour of quantum systems. A role of weak measurement and weak values in the Cheshire Cat effect and a nested (Vaidman) three-path interferometer are discussed. Interpretation of a particle’s faint trace indicating possibility of discontinuous paths of particles passing the Vaidman interferometer is given. Consistent histories are presented as one of alternative approaches. Multitude of controversial issues is briefly reviewed and discussed.

The paper tries to demonstrate that the process of the increase of entropy does not explain the asymmetry of time itself because it is unable to account for its fundamental asymmetries, that is, the asymmetry of traces (we have traces of the past and no traces of the future), the asymmetry of causation (we have an impact on future events with no possibility of having an impact on the past), and the asymmetry between the fixed past and the open future, (...) To this end, the approaches of Boltzmann, Reichenbach (and his followers), and Albert are analysed. It is argued that we should look for alternative approaches instead of this, namely we should consider a temporally asymmetrical physical theory or seek a source of the asymmetry of time in metaphysics. This second approach may even turn out to be complementary if only we accept that metaphysics can complement scientific research programmes. (shrink)

The paper defends a dynamic view of reality which is founded on the assumption of the existence of the flow of time. This vindication makes use of a metaphysical theory of the flow of time developed by the author which is based on the notion of dynamic existence. It is shown that such a conception allows one to explain the fundamental phenomena connected with the flow of time, namely the continuous changing of the present, the endurance of things, and the (...) asymmetry of time. It is also argued that the proposed approach may be of some virtue for the empirical sciences because it explains the ubiquitous interest of scientists in the evolution of dynamic systems of different kinds, and provides us with an arrow of time which is lacking in theories describing fundamental physical interactions. The argument is advanced which aims to show that physics is unable to provide us with a theory of the flow of time and that we should look for such a theory in metaphysics. Thus, an approach to the relation between metaphysics and physics is vindicated that may help to overcome the difficulties blocking our understanding of reality as a dynamic one. (shrink)

The so-called ‘type method’ widely employed in biological taxonomy is often seen as conforming to the causal-historical theory of reference. In this paper, I argue for an alternative account of reference for biological nomenclature in which taxon names are understood as descriptive names. A descriptive name, as the concept came to be known from the work of Gareth Evans, is a referring expression introduced by a definite description. There are three main differences between the DN and the causal account. First, (...) according to the DN account, rather than fixing a name to a referent, the assignment of a type specimen to serve as the name-bearer for a taxon should be seen as performatively establishing a synonymy between a name and a definite description of the form “the taxon whose type is t”. Each taxon name is therefore associated with a criterion of application, a semantic rule that establishes the connection between the name and the descriptive content. This is the second major difference from the causal account: taxon names do have some descriptive content associated with them. The final locus of dissent concerns the strength of the modality resulting from the usage of taxon names. In order to address this point, I use the DN account to focus on the debate between Matt Haber and Joeri Witteveen concerning misidentification of type specimens, misapplication of names, and the truth conditions of Joseph LaPorte’s de dicto necessary sentence “Necessarily, any species with a type specimen contains its type specimen”. Using a pragmatic variant of the distinction between attributive and referential uses of descriptions, I argue that a metalinguistic version of the de dicto sentence is in fact falsified, as previously argued by Haber. (shrink)

It is often claimed that the debate between presentism and eternalism is merely verbal, because when we use tensed, detensed or tenseless notions of existence, there is no difference in the accepted metaphysical statements between the adherents of both views. On the contrary, it is shown in this paper that when we express their positions making use, in accordance with intentions of the presentists and the eternalists, of the tensed notion of existence (in the case of the presentists) and the (...) detensed or tenseless notion (in the case of the eternalists), the controversy remains deep and very important for us, because both ontological claims express a different attitude to the existence of the flow of time. It is shown that not only does the proposed approach to presentism and eternalism exactly express the intentions of the adherents of both views but it also offers a better understanding of them joining together seemingly different theses maintained by the presentists and the eternalists, and explaining at the same time the dynamism of the presentists' ontology. The paper takes for granted that we should assess metaphysical theories in a similar way as we assess scientific theories, that is on the basis of their explanatory value. (shrink)