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.

We are facing a crisis of trust in expertise today. Fewer and fewer people trust experts, and more and more politicians openly ignore expert consensus. 'Democracy in the Post-Truth Era' asks what might happen to democracy if we reject the fundamental liberal assumption that people are capable of making informed choices. The book explores the potential impact on society if people, including politicians, never appreciate the relevance of expert opinions. What if people cannot choose between supporters and opponents of key (...) issues such as the causes of climate change, effectiveness of vaccines and ways of combating economic and social crises? Applying social epistemology to these questions, the book considers whether democracy can be defended in the post-truth era. (shrink)

The notion of local deduction theorem (which generalizes on the known instances of indeterminate deduction theorems, e.g. for the infinitely-valued ukasiewicz logic C ) is defined. It is then shown that a given finitary non-pathological logic C admits the local deduction theorem iff the class Matr(C) of all matrices validating C has the C-filter extension property (Theorem II.1).

This book is both suitable for logically and algebraically minded graduate and advanced graduate students of mathematics, computer science and philosophy, and ...

We examine the notion of primitive satisfaction in logical matrices. Theorem II. 1, being the matrix counterpart of Baker's well-known result for congruently distributive varieties of algebras (cf [1], Thm. 1.5), links the notions of primitive and standard satisfaction. As a corollary we give the matrix version of Jónsson's Lemma, proved earlier in [4]. Then we investigate propositional logics with disjunction. The main result, Theorem III. 2, states a necessary and sufficient condition for such logics to be finitely based.

This paper concerns the relations binding British idealist thought to nineteenth and twentieth century disputes in political philosophy. Two of them in particular are considered: the disputes between liberalism and conservatism, and the disputes between liberals and communitarians. The paper explores the conciliatory, individualist-communitarian character of idealist thought. The first step of the argument is the characterization of liberal-conservative/ liberal-communitarian standpoints. Then some of the fundamental elements of idealist social and political thought are analyzed: the social recognition thesis, the concepts (...) of common good and positive liberty. On this basis, the following features are considered crucial to the acceptance of the liberal- communitarian/conservative character of the idealists' theories: teleology; the metaphysical foundation of politics; contextualism; a tension between ethical relativism and universalism; the criticism of the concept of negative freedom; and individualism. (shrink)

The current issue of the journal includes eleven articles. It opens with an argument by Jerzy Brzozowski on the question of the theoretical and practical legitimacy of the use of modern, and, in fact, colloquial language in the translation of the Holy Scriptures. Referring to the example of the Paulian Bible, which was intended to be characterized by language understandable to the modern reader, the author notes that only ostensibly “modern language” was used. Moreover, full phrases from the Millennium Bible (...) were borrowed in many places. Then follows a discussion by Nicholas Coureas based on Venetian and Genoese notarial deeds drawn up in Cyprus between 1362 and 1458, on the relationships between household slaves or servants and their owners. It turns out that they were very often supported by wills containing bequests for the benefit of slave women and illegitimate children born of these relationships. (shrink)

Wiele napisano już o wdzięcznej pamięci, którą otacza się osoby zasłużone. Swoisty bagaż znaczeń, te pomniki wzniesione ze słów, posiadają w odniesieniu do osób jeszcze żyjących. Stąd też, aby uniknąć nieporozumień, niedopowiedzeń i wszelkich innych, mogących się pojawić niedoskonałości, pragniemy mówić o serdecznej i twórczej zarazem pamięci. Serdecznej, ponieważ słowa te dyktują szczere i wzniosłe uczucia wywołane tym, co połączyło nas w przeszłości. Twórczej, z racji planów nadających sens naszej współpracy na przyszłość. Właśnie nadzieje wspólnej, przeżywanej w duchu przyjaźni przyszłości, (...) pozwala nam dedykować ten numer „Rocznika Filozoficznego Ignatianum” Tobie. Czynimy to mając w pamięci pełne sukcesów 12 lat pracy na stanowisku Dyrektora Archiwum Państwowego w Opolu (2012-2023). Cieszymy się, że działalność ta została doceniona, o czym świadczy długa lista nagród i wyróżnień, z których ostatnie nadawane były w 70. rocznicę powstania opolskiego archiwum, co upamiętnia niniejszy zbiór naukowych opracowań. (shrink)

Paul Edwards' October 1989 essay, ‘Heidegger's Quest for Being’ illustrates the wisdom of the dictum that the only legitimate criticism of a philosopher's position is a constructive criticism. His negative critique amounts to no more than expressions of distaste, dislike, and displeasure, and nothing of philosophical interest follows from his assertions, as the discourse is primarily an argument ad hominem . He grossly misinterprets Heidegger on some elemental and fundamental matters as well. In particular, he sorely misinterprets what he refers (...) to as the ‘Quest for Being’, which only further contributes to the objectionable character of the essay. (shrink)

In the paper we study the class of weakly algebraizable logics, characterized by the monotonicity and injectivity of the Leibniz operator on the theories of the logic. This class forms a new level in the non-linear hierarchy of protoalgebraic logics.

In 1948, Stanis aw Ja kowski defined a logical system D2 of a discursive 1 sentential calculus. The aim of this paper is to introduce the reader to the basic ideas of the discursive logic and to show, in a historical perspective, its development originating from the two germ papers [19] and [20]. We intend to present some problems connected with it and outline the solutions they have received up to the present day.

This article attempts to answer the question: what has the current migration crisis revealed in relations between Christianity and Islam, two religions with common Abrahamic roots? What conclusions can be drawn about the state of these relations, particularly with regard to ordinary members of the two religions? How should we assess the reaction of Christians in Europe to the inflow of refugees from Muslim countries in the light of the Gospel, the Second Vatican Council and the teaching of Pope Francis?The (...) article consists of four parts. Part I briefly presents Christian-Muslim relationships over the centuries. Part II focuses on the sense of danger occurring in European societies in connection with the influx of Muslims during the migration crisis. Part III presents the teachings of the Second Vatican Council about Islam and Part IV describes Pope Francis’s attitude towards refugees from Muslim countries. (shrink)

The notion of a commutator lattice is investigated. It is shown that the class of commutator lattices is coextensive with the class of lattices with residuation.

There exist different kinds of averaging of the differences of the energy–momentum and angular momentum in normal coordinates NC(P) which give tensorial quantities. The obtained averaged quantities are equivalent mathematically because they differ only by constant scalar dimensional factors. One of these averaging was used in our papers [J. Garecki, Rep. Math. Phys. 33, 57 (1993); Int. J. Theor. Phys. 35, 2195 (1996); Rep. Math. Phys. 40, 485 (1997); J. Math. Phys. 40, 4035 (1999); Rep. Math. Phys. 43, 397 (1999); (...) Rep. Math. Phys. 44, 95 (1999); Ann. Phys. (Leipzig) 11, 441 (2002); M.P. Dabrowski and J. Garecki, Class. Quantum. Grar. 19, 1 (2002)] giving the canonical superenergy and angular supermomentum tensors. In this paper we present another averaging of the differences of the energy–momentum and angular momentum which gives tensorial quantities with proper dimensions of the energy–momentum and angular momentum densities. We have called these tensorial quantities “the averaged relative energy–momentum and angular momentum tensors”. These tensors are very closely related to the canonical superenergy and angular supermomentum tensors and they depend on some fundamental length L > 0. The averaged relative energy–momentum and angular momentum tensors of the gravitational field obtained in the paper can be applied, like the canonical superenergy and angular supermomentum tensors, to coordinate independent analysis (local and in special cases also global) of this field. Up to now we have applied the averaged relative energy–momentum tensors to analyze vacuum gravitational energy and momentum and to analyze energy and momentum of the Friedman (and also more general, only homogeneous) universes. The obtained results are interesting, e.g., the averaged relative energy density is positive definite for the all Friedman and other universes which have been considered in this paper. (shrink)

As a specific type of operational behaviour intended to furnish solutions of social problems social engineering functions in virtue of certain moral norms and evaluations. The directives and methods of social engineering are conceived and applied in accordance with a moral point of view held by the social engineer. This moral point of view, with its characteristic values, goals, norms and evaluations, influences the selection of the ways and means that he makes to realize his project. The social engineer is (...) both a specialist who designs and applies certain norms, and a moralist who identifies, explains and justifies the motives and objectives underlying them. The directives of the adherent to a moral system and those of the engineer with a certain professional specialization constitute independent variables in his mind. (shrink)

From the perspective of Marek J. Siemek’s theory of modernity, one of the most important problem is to include conflicts into institutional framework of the modern society. He reinterprets Hegel’s dialectics of the struggle for recognition by conceptual tools of Hobbes and Marx in order to uncover hidden assumptions and conditions of possibility of the social rationality. For Siemek, law as purely formal, autopoetic social system or social subject, which produces individual subjects, is the first of the conditions of possibility (...) of modernity. The second one is the convergence of formal and material presuppositions of law—or, speaking generally—the convergence of form and content of the social reason. Form and content, facticity and normativity, instrumentality and communicativity are aspects of the process of rationalization andof the only one reason, self-generating in the history. So for Siemek, the Hegelian model of the struggle for recognition gains its theoretical power only when it is interpreted from the perspective of economical, technical and legal rationalization of modernity. Only such perspective is able to construct “the transcendental social philosophy” which starts from critique of “the non-instrumental reason”. (shrink)