Various notions of independence of observables have been proposed within the algebraic framework of quantum field theory. We discuss relationships between these and the recently introduced notion of logical independence in a general operator-algebraic context. We show that C*-independence implies an analogue of classical independence.
Contents: PART 1. MODELS IN SCIENTIFIC PROCESSES. Joseph AGASSI: Why there is no theory of models. Ma??l??gorzata CZARNOCKA: Models and symbolic nature of knowledge. Adam GROBLER: The representational and the non-representational in models of scientific theories. Stephan HARTMANN: Models as a tool for the theory construction; some strategies of preliminary physics. William HERFEL: Nonlinear dynamical models as concrete construction. Elzbieta KA??L??USZY??N??SKA: Styles of thinking. Stathis PSILLOS: The cognitive interplay between theories and models: the case of 19th century optics. PART 2. (...) TOOLS OF SCIENCE. Nancy D. CARTWRIGHT, Towfic SHOMAR, Maricio SUAREZ: The tool-box of science. Javier ECHEVERRIA: The four contexts of scientific activity. Katline HAVAS: Continuity and change; kinds of negation in scientific progress. Matthias KAISER: The independence of scientific phenomena. W??l??adys??l??aw KRAJEWSKI: Scientific meta-philosophy. Ilkka NIINILUOTO: The emergence if scientific specialities: six models. Leszek NOWAK: Antirealism, realism and idealization. Rinat M. NUGAYEV: Classic, modern and postmodern scientific unification. Veikko RANTALA: Translation and scientific change. Gerhard SCHURZ: Theories and their applications - a case of nonmonotonic reasoning. Witold STRAWI??N??SKI: The unity of science today. Vardan TOROSIAN: Are the ethic and logic of science compatible. PART 3. UNSHARP APPROACHES IN SCIENCE. Ernest W. ADAMS: Problems and prospects in a theory of inexact first-order theories. Wolfgang BALZER and Gerhard ZOUBEK: On the comparison of approximative empirical claims. Gianpierro CATTANEO, Maria Luisa DALLA CHIARA, Roberto GIUNTINI: The unsharp approaches to quantum theory. Theo A.F. KUIPERS: Falsification versus efficient truth approximation. Bernhard LAUTH: Limiting decidability and probability. Jaros??l??aw PYKACZ: Many-valued logics in foundations of quantum mechanics. Roman R. ZAPATRIN: Logico-algebraic approach to spacetime quantization. (shrink)
Author: Szutta Artur Title: WŁADYSŁAW TATARKIEWICZ’S CONCEPT OF THE ‘THIRD STATES’ (Stany trzecie w ujęciu Władysława Tatarkiewicza) Source: Filo-Sofija year: 2011, vol:.13/14, number: 2011/2-3, pages: 617-627 Keywords: “THIRD STATES”, LEISURE, PHILOSOPHY, THEORY, INTELLECT, SENSE OF LIFE, WŁADYSŁAW TATARKIEWICZ, JOSEPH PIEPER Discipline: PHILOSOPHY Language: POLISH Document type: ARTICLE Publication order reference (Primary author’s office address): E-mail: www:The article treats on the concept of “third states” (as opposed to the other two kinds of states: those of work and entertainment) introduced by Władysław (...) Tatarkiewicz in his treatise On Happiness. A thorough analysis of the passage on “third states” as well as of the very concept allows to see its relevance to the considerations on such important philosophical questions as those of the nature of doing philosophy, the meaning of life, intellectual intuition, theoria or contemplation. The paper consists of five parts. The first part is focused on Tatarkiewicz’s understanding of “third states” as well as on a phenomenological analysis of the concept itself. The second part is a kind of extension of the analysis enriched by Josef Pieper’s interpretation of the idea of leisure which I find very close to what Tatarkiewicz means by “third states”. In the light of the analysis the concept of the ‘third states’ turns out to be very inspiring and useful in dealing with a number of philosophical questions, which is shown in the fourth part of the paper. The final step consists of questioning the above conclusion by short outlining a possible naturalistic interpretation of the ‘third states’ in the light of which the picture of philosophy, human life or human cognition, based on the concept of the ‘third states’ might turn out to be a mere illusion. I do not give a final answer to this question but treat the conclusion of the paper as an invitation to a deeper consideration of the matter. (shrink)
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  and . We intend to present some problems connected with it and outline the solutions they have received up to the present day.
Summary In the late eighteenth and early nineteenth centuries the Polish geoscientist, philosopher, and statesman Stanis?aw Staszic (1755?1826) conducted an extensive geological survey of Poland and adjacent areas. In 1815, he completed a book (in Polish), On the geology of the Carpathians and other mountains and lowlands of Poland, complemented by a well-made geological map of Central and Eastern Europe. Early in the nineteenth century, Staszic refined the idea of ?geological mapping?, though initially he was interested in the exploration of (...) mineral deposits, rock salt, copper and iron ores, and coal. Unlike his predecessors, his book adopted a temporal subdivision of rocks, using a somewhat modified version of Abraham Gottlob Werner's system. He delineated the surface distribution of five rock units and coloured them onto his map. His work gave expression to his view of geological history, and brought the ?Enlightenment Period? of geology in Central and Eastern Europe to a close. (shrink)
From the viewpoint of its Stalinist-era creators, the IKKN/INS could at best be described as a mixed success. Despite heroic efforts, it failed to train the cadres that might have permeated Polish scholarship with Marxism-Leninism. If it was the major channel for transmitting Soviet experience to Polish academia, then Poland's universities would not learn to be Soviet—the Polish historian Jerzy Halbersztadt has made the point that the institute was the only direct conduit of Soviet experience into Polish academic life. It (...) even had a major role in educating some of Poland's most famous critical thinkers, although they, unlike their master Adam Schaff, seem less fond of reminiscing about the institute. Leszek Koŀakowski writes that he does not regard his role in the ideological struggles of the early 1950s as a “source of pride”.90The legacy of the IKKN/INS has also been a mixed one. It was not only a “foundry of revisionists”. For every future critical thinker of world repute, it graduated several cadres who served the PZPR loyally over decades. Adam Schaff recognises this dual legacy. Looking back on a long and active life, he has called the institute a “pearl in my crown”.91 Its members filled top party and government posts throughout the history of People's Poland. Andrzej Werblan served as Central Committee secretary and a member of the Politburo, Sylwester Zawadzki became minister of justice, Stanisŀaw Wroński was minister of culture, Mieczysŀaw Jagielski was the Politburo member who negotiated the Gdańsk accords, Stanisŀaw Kania succeeded Edward Gierek, and Mieczysŀaw Rakowski acted as General Jaruzelski's Party First Secretary.92Undoubtedly much of the institute's strange course is to be attributed to the designs of Adam Schaff. Despite his Moscow training, Schaff retained an attachment to the Polish academic milieu which had formed him. He may have believed in Stalinist doctrine, but he also believed that this doctrine would show its superiority in competition with other views—even if the competition was far from a fair one. Of course, Schaff tried to retain ultimate control, and to play, as he now calls himself, the “grey eminence”. Nevertheless, his was a very unstalinist way of propagating Stalinism, and he must be given credit for helping to keep a spirit of intellectual inquiry alive in Poland during the dark years of the early 1950s.Yet Schaff tends to exaggerate his personal role in educating philosophers, dissidents and critical thinkers. This tendency is itself a legacy of the Stalinist period and its concentration of power. Stalinists view the present as their personal creation and therefore reject all criticisms of the past. At the final meeting of the Crooked Circle Club in 1962, Schaff encountered unwonted criticism from, among others, Andrzej Walicki. Schaff shot back at him: “You are ours, you are our creation, a creation of socialism ... we educated you, and we didn't do such a bad job.” But far from being a “creation” of Schaff's, the non-party member Walicki had been denied admission to graduate studies in philosophy. He felt relieved when those in attendance, who knew him better than Schaff did, burst out laughing.93The point is that the Polish intellectual world maintained its integrity outside the IKKN/INS, and in the end it was the institute which merged into the Polish intelligentsia, rather than the opposite. After 1957 the non-Marxist sociologists and philosophers made their way back to academia, and were joined by many former INS staff members. The basic unity of Polish social science training, and of the Polish intelligentsia, was restored.94Of course in a larger sense the fate of the IKKN/INS had little to do with the designs of its master. Schaff admits as much, proclaiming that “I did this because I did not know what I was doing!” If he had been asked to start such a project five years later, the answer would have been: “No!”95 The fatal flaw of the Institute for Training Scientific Cadres was cadres: Poland did not have them. By 1956, Schaff and the party leadership, and perhaps Soviet advisers as well, had learned that one could not create an elite party scientific institution almost out of nothing. It would either be party or scientific, because apparatchiki could not become scientists, scientists would not become apparatchiki, and students could not produce teachers. In the Stalinist period, Polish intellectual life had stood in the shadow of the party; yet during the Thaw the relationship was reversed—increasingly the tiny party training institute was engulfed by the shadow of the resurgent Polish universities. Talented young people, even those in the party, made their way into the traditional higher educational establishment.The IKKN/INS did not, therefore, fail because of its own failings, nor succeed because of its own successes. It was a failed part of a failed whole. To succeed, “mild” revolution would have required decades, and Poland's Stalinists had only a few years. To make matters worse—or better, depending on viewpoint—they did not use these years in a conventional Stalinist manner. Under Schaff's guidance and at somewhat erratic Soviet bidding, the institute became an awkward series of half-measures, reminiscent of much of Polish Stalinism. When Poland's communists fell back and regrouped in 1956, the IKKN/INS occupied a lonely position they preferred to abandon. (shrink)
ABOUT THE PUTTING NAMES TO OBJECTS, I.E. HOW TADEUSZ KOTARBIjSKI TEACHES UNDERSTAND STANISkAW LE3NIEWSKI’S ONTOLOGY S u m m a r y This article presents an attempt to fund Ontology of Stanis;aw Lemniewski on a simple theory with one primitive relation “being denoted by”. Developed theory shows that to the linguistic model of the Ontology can belong only such general names that in their extensions have at least two objects (references) denoted by individual names.
Argues that the key distinction between human and nonhuman social cognition consists in our complex, diverse and flexible capacities to shape each other's minds in ways that make them easier to interpret.
This paper introduces the special issue on the Concept of God of the Journal of Applied Logics (College Publications). The issue contains the following articles: Logic and the Concept of God, by Stanisław Krajewski and Ricardo Silvestre; Mathematical Models in Theology. A Buber-inspired Model of God and its Application to “Shema Israel”, by Stanisław Krajewski; Gödel’s God-like Essence, by Talia Leven; A Logical Solution to the Paradox of the Stone, by Héctor Hernández Ortiz and Victor Cantero; No New (...) Solutions to the Logical Problem of the Trinity, by Beau Branson; What Means ‘Tri-’ in ‘Trinity’ ? An Eastern Patristic Approach to the ‘Quasi-Ordinals’, by Basil Lourié; The Éminence Grise of Christology: Porphyry’s Logical Teaching as a Cornerstone of Argumentation in Christological Debates of the Fifth and Sixth Centruies, by Anna Zhyrkova; The Problem of Universals in Late Patristic Theology, by Dirk Krasmüller; Intuitionist Reasoning in the Tri-unitrian Theology of Nicolas of Cues, by Antonino Drago. (shrink)
We propose a new schema for the deduction theorem and prove that the deductive system S of a prepositional logic L fulfills the proposed schema if and only if there exists a finite set A(p, q) of propositional formulae involving only prepositional letters p and q such that A(p, p) L and p, A(p, q) s q.
In French, the word « expérience » has two different meanings, which often merge into each other: whether one hears it as « to experience » or as « to experiment », one will take it towards lay knowledge and techniques of struggle, or towards scientific protocols and techniques of governance. This article rides on this ambiguity, putting the two sides of this notion to the service, and to the test, of an analysis of practices and policies dealing with the (...) issue of drugs. On this specific question, the two meanings of political « expérience » are both maximally divergent and intimately tied to each other. (shrink)
Examples of possible theological influences upon the development of mathematics are indicated. The best known connection can be found in the realm of infinite sets treated by us as known or graspable, which constitutes a divine-like approach. Also the move to treat infinite processes as if they were one finished object that can be identified with its limits is routine in mathematicians, but refers to seemingly super-human power. For centuries this was seen as wrong and even today some philosophers, for (...) example Brian Rotman, talk critically about “theological mathematics”. Theological metaphors, like “God’s view”, are used even by contemporary mathematicians. While rarely appearing in official texts they are rather easily invoked in “the kitchen of mathematics”. There exist theories developing without the assumption of actual infinity the tools of classical mathematics needed for applications (For instance, Mycielski’s approach). Conclusion: mathematics could have developed in another way. Finally, several specific examples of historical situations are mentioned where, according to some authors, direct theological input into mathematics appeared: the possibility of the ritual genesis of arithmetic and geometry, the importance of the Indian religious background for the emergence of zero, the genesis of the theories of Cantor and Brouwer, the role of Name-worshipping for the research of the Moscow school of topology. Neither these examples nor the previous illustrations of theological metaphors provide a certain proof that religion or theology was directly influencing the development of mathematical ideas. They do suggest, however, common points and connections that merit further exploration. (shrink)
The 2nd World Congress on Logic and Religion, held in Warsaw, Poland, in 2017, is summarized. Then the connective “and” is analyzed; we focus on its meaning in the title of the congress and the title of the present volume. Finally, all the eleven papers included here are briefly introduced; we indicate whether logic or theology is the primary topic of the given paper.
The problem of ‘divine hiddenness’ arises from the lack of an explanation for why an all-loving God would choose not to make his existence evident. I argue that Kant provides a compelling solution to this problem in an often overlooked passage located near the end of the second Critique. Kant’s suggestion is that God’s revealing himself would preclude the development of virtue because we would lose the experience of conflict between self-interest and the law. I provide a reconstruction and defence (...) of Kant’s argument, and I explain why it is consistent with his overall position in the second Critique. (shrink)
There are three main kinds of causal connections between two events: the transfer of energy, the transfer of information and the triggering of the transfer of one of them or both. There are also other kinds of causal connections.
The Euclidean ideal of mathematics as well as all the foundational schools in the philosophy of mathematics have been contested by the new approach, called the “maverick” trend in the philosophy of mathematics. Several points made by its main representatives are mentioned – from the revisability of actual proofs to the stress on real mathematical practice as opposed to its idealized reconstruction. Main features of real proofs are then mentioned; for example, whether they are convincing, understandable, and/or explanatory. Therefore, the (...) new approach questions Hilbert’s Thesis, according to which a correct mathematical proof is in principle reducible to a formal proof, based on explicit axioms and logic. (shrink)
W.E.B. Du Bois’s elegy for his infant son, “Of the Passing of the First-Born,” in The Souls of Black Folk, has received relatively scant attention from political theorists. Yet it illuminates crucial developments in Du Bois’s political thought. It memorializes a tragedy central to his turn from scientific facts to rhetorical appeals to emotion. Its rhetoric also exemplifies a broader tension in his writings, between masculinist and elitist commitments and more insurrectionary impulses. In its normalizing rhetorical mode, which dominates, the (...) elegy depicts an idealized patriarchal bourgeois household—potentially eliciting white readers’ sympathetic identification, but failing to displace the gendered and classed logic of racial exclusion. Its moments of transgressive rhetoric complicate or refuse such identification, celebrating Burghardt’s racial impurity and invoking a lineage of black maternal ambivalence. Though each is vexed and ephemeral, these moments of transgressive rhetoric reveal countervailing impulses that Du Bois would articulate in later writings. (shrink)