Results for 'Bartłomiej Kołodziejczyk'

166 found
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  1.  7
    „Est Deus omnino simplex?” Prostota Boga w ujęciu św. Tomasza z Akwinu.Bartłomiej Kołodziejczyk - 2020 - Roczniki Filozoficzne 68 (1):77-97.
    Throughout the centuries, the doctrine of divine simplicity laid at the heart of Christian theology. In Thomas Aquinas’ mature thought, simplicity occupies a privileged place among other attributes of God. A simple simple being is a being that does not consist of any parts or constituents. God’s being simple means that he does not exhibit any of the seven types of composition. The arguments that serve as the justification for this thesis can be divided into four groups which I labeled: (...)
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  2. Genomic Stress Responses Drive Lymphocyte Evolvability: An Ancient and Ubiquitous Mechanism.Bartlomiej Swiatczak - 2020 - Bioessays 42 (10):2000032.
    Somatic diversification of antigen receptor genes depends on the activity of enzymes whose homologs participate in a mutagenic DNA repair in unicellular species. Indeed, by engaging error-prone polymerases, gap filling molecules and altered mismatch repair pathways, lymphocytes utilize conserved components of genomic stress response systems, which can already be found in bacteria and archaea. These ancient systems of mutagenesis and repair act to increase phenotypic diversity of microbial cell populations and operate to enhance their ability to produce fit variants during (...)
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  3. Philosophy of immunology.Bartlomiej Swiatczak & Alfred I. Tauber - 2020 - Stanford Encyclopedia of Philosophy 2020.
    Philosophy of immunology is a subfield of philosophy of biology dealing with ontological and epistemological issues related to the studies of the immune system. While speculative investigations and abstract analyses have always been part of immune theorizing, until recently philosophers have largely ignored immunology. Yet the implications for understanding the philosophical basis of organismal functions framed by immunity offer new perspectives on fundamental questions of biology and medicine. Developed in the context of history of medicine, theoretical biology, and medical anthropology, (...)
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  4.  34
    The polynomial and linear hierarchies in models where the weak pigeonhole principle fails.Leszek Aleksander Kołodziejczyk & Neil Thapen - 2008 - Journal of Symbolic Logic 73 (2):578-592.
    We show, under the assumption that factoring is hard, that a model of PV exists in which the polynomial hierarchy does not collapse to the linear hierarchy; that a model of S21 exists in which NP is not in the second level of the linear hierarchy; and that a model of S21 exists in which the polynomial hierarchy collapses to the linear hierarchy. Our methods are model-theoretic. We use the assumption about factoring to get a model in which the weak (...)
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  5.  8
    Fenomen genius loci: tożsamość miejsca w kontekście historycznym i współczesnym: materiały konferencji zorganizowanej przez Muzeum Pałac w Wilanowie, Instytut Historii Sztuki Uniwersytetu Kardynała Stefana Wyszyńskiego w Warszawie, grudzień 2007.Bartłomiej Gutowski (ed.) - 2009 - Warszawa: Muzeum Pałac w Wilanowie.
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  6. Struggle within: evolution and ecology of somatic cell populations.Bartlomiej Swiatczak - 2021 - Cellular and Molecular Life Sciences 78 (21):6797-6806.
    The extent to which normal (nonmalignant) cells of the body can evolve through mutation and selection during the lifetime of the organism has been a major unresolved issue in evolutionary and developmental studies. On the one hand, stable multicellular individuality seems to depend on genetic homogeneity and suppression of evolutionary conflicts at the cellular level. On the other hand, the example of clonal selection of lymphocytes indicates that certain forms of somatic mutation and selection are concordant with the organism-level fitness. (...)
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  7.  11
    Online consent: how much do we need to know?Bartlomiej Chomanski & Lode Lauwaert - forthcoming - AI and Society:1-11.
    This paper argues, against the prevailing view, that consent to privacy policies that regular internet users usually give is largely unproblematic from the moral point of view. To substantiate this claim, we rely on the idea of the right not to know (RNTK), as developed by bioethicists. Defenders of the RNTK in bioethical literature on informed consent claim that patients generally have the right to refuse medically relevant information. In this article we extend the application of the RNTK to online (...)
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  8.  42
    On the Herbrand Notion of Consistency for Finitely Axiomatizable Fragments of Bounded Arithmetic Theories.Leszek Aleksander Kołodziejczyk - 2006 - Journal of Symbolic Logic 71 (2):624 - 638.
    Modifying the methods of Z. Adamowicz's paper Herbrand consistency and bounded arithmetic [3] we show that there exists a number n such that ⋃m Sm (the union of the bounded arithmetic theories Sm) does not prove the Herbrand consistency of the finitely axiomatizable theory $S_{3}^{n}$.
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  9. Throwing spatial light: on topological explanations in Gestalt psychology.Bartłomiej Skowron & Krzysztof Wójtowicz - 2020 - Phenomenology and the Cognitive Sciences (3):1-22.
    It is a well-known fact that mathematics plays a crucial role in physics; in fact, it is virtually impossible to imagine contemporary physics without it. But it is questionable whether mathematical concepts could ever play such a role in psychology or philosophy. In this paper, we set out to examine a rather unobvious example of the application of topology, in the form of the theory of persons proposed by Kurt Lewin in his Principles of Topological Psychology. Our aim is to (...)
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  10.  61
    Towards an ecological view of immunity.Swiatczak Bartlomiej - 2017 - Studies in History and Philosophy of Science Part C: Studies in History and Philosophy of Biological and Biomedical Sciences 63:85-88.
    The immune system does not just fight pathogens but also engages in interactions with beneficial microbes and non-immune cells of the body to harmonize their behavior by means of cytokines, antibodies and effector cells (Dinarello, 2007; Moticka, 2015, pp. 217e226, 261e267). However, the importance of these “housekeeping” functions has not been fully appreciated (Cohen, 2000). In his new book Immunity: The Evolution of an Idea Alfred I. Tauber traces the history of fundamental ideas in immunology and refers to recent advances (...)
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  11.  14
    The (alleged) sacrifice and procession at Rural Dionysia in Aristophanes’ Acharnians.Bartłomiej Bednarek - 2019 - Hermes 147 (2):143.
    The following article challenges the traditional reading of the Rural Dionysia scene in Aristophanes’ Acharnians. It is often assumed that the text contains a reference to an animal sacrifice, which is arguably absent from this comedy. Moreover, the vast majority of scholars claim that the lines 244 ff. were uttered after the procession of worshippers reached the altar in the orchestra. However, as I argue, these verses were most probably spoken by the characters in front of the door of the (...)
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  12. Mikołaj Bierdiajew - medytacje. Ideowe źródła i konteksty.Bartłomiej Brzeziński - 2003 - Idea Studia nad strukturą i rozwojem pojęć filozoficznych 15 (15).
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  13.  22
    Od konfliktu do integracji. Historia i teologiczne uzasadnienie metodologicznej odrębności poznania wiary i rozumu.Bartłomiej Chyłka - 2017 - Semina Scientiarum 16:118-136.
    The history of relationship between faith and reason is marked by four models of the interaction between science and theology proposed by Ian G. Barbour: conflict, independence, dialogue and integration. Even if nineteenth-century positivism is still present in many scientists’ minds, philosophy of science eventually managed to overcome it in the 1960s. A mutual distrust between faith and reason started to disappear. In this context Fr. Michał Heller presented a project of a new discipline – the theology of science which (...)
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  14.  15
    Model-based diagnosis of dynamic Systems: systematic conflict generation.Bartłomiej Górny & Antoni Ligeza - 2002 - In L. Magnani, N. J. Nersessian & C. Pizzi (eds.), Logical and Computational Aspects of Model-Based Reasoning. Kluwer Academic Publishers. pp. 273--291.
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  15.  6
    Ekonomiczne i społeczne następstwa globalizacji.Bartłomiej Kaczmarek - 2023 - Annales. Ethics in Economic Life 17 (1):35-46.
    The subject of this article in an analysis of the globalisation process in economic and social areas. The author describes the main spheres of globalisation such as economic and political integration, the declining role of nation states, cultural homogenisation and the increasing significance of transnational corporations. The advantages and disadvantages of globalisation are discussed. The author also indicates differences between regions that benefit from globalisation. The article tries to answer questions whether globalisation is a desirable process and what it should (...)
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  16.  16
    Homogeneous Symmetrical Threshold Model with Nonconformity: Independence versus Anticonformity.Bartłomiej Nowak & Katarzyna Sznajd-Weron - 2019 - Complexity 2019:1-14.
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  17. Komu potrzebna jest filozofia Ayn Rand?Bartłomiej Nowotarski - 1989 - Studia Filozoficzne 279 (2).
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  18.  24
    Multi-Level Challenges in a Long-Term Human Space Program. The Case of Manned Mission to Mars.Bartłomiej Tkacz & Konrad Szocik - 2018 - Studia Humana 7 (2):24-30.
    Yuri Gagarin has started the first time in human history the manned mission in space when his Vostok aircraft successfully achieved Earth orbit in 1961. Since his times, human space programs did not develop too much, and the biggest achievement still remain landing on the Moon. Despite this stagnation, there are serious plans to launch manned mission to Mars including human space settlement. In out paper, we are going to identify and discuss a couple of challenges that – in our (...)
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  19.  26
    The Missing Ingredient in the Case for Regulating Big Tech.Bartlomiej Chomanski - 2021 - Minds and Machines 31 (2):257-275.
    Having been involved in a slew of recent scandals, many of the world’s largest technology companies embarked on devising numerous codes of ethics, intended to promote improved standards in the conduct of their business. These efforts have attracted largely critical interdisciplinary academic attention. The critics have identified the voluntary character of the industry ethics codes as among the main obstacles to their efficacy. This is because individual industry leaders and employees, flawed human beings that they are, cannot be relied on (...)
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  20.  18
    Mental Integrity in the Attention Economy: in Search of the Right to Attention.Bartlomiej Chomanski - 2022 - Neuroethics 16 (1):1-11.
    Is it wrong to distract? Is it wrong to direct others’ attention in ways they otherwise would not choose? If so, what are the grounds of this wrong – and, in expounding them, do we have to at once condemn large chunks of contemporary digital commerce (also known as the attention economy)? In what follows, I attempt to cast light on these questions. Specifically, I argue – following the pioneering work of Jasper Tran and Anuj Puri – that there is (...)
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  21.  3
    The self as a multitude: Edward Abramowski’s social philosophy and the politics of cooperativism in Poland at the turn of the 20th century.Bartłomiej Błesznowski - 2022 - European Journal of Political Theory 21 (4):692-714.
    The article aims to analyse the thought of Edward Abramowski – a Polish philosopher, pioneer of psychology and theorist of the socialist cooperative movement. It attempts to reconstruct the impact that his social thought and his philosophical anthropology have had on the political activity of Polish cooperativism. In keeping with Michael Freeden’s thesis that an ideologist translates philosophical concepts into political practice, the author sees Abramowski as a thoroughly modern thinker who opened an alternative ideological path to the great political (...)
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  22.  3
    "Dostałem zaproszenie na karnawał strachu/ mam się Tam udać za życia.” O obecności sacrum W lirycznej twórczości dariusza dekanskiego.Bartłomiej Borek - 2021 - Humanistyka I Przyrodoznawstwo 25.
    Streszczenie: Idea sacrum w lirycznej twórczości Dariusza Dekańskiego to konglomerat wielu składowych. Zarówno rzeczywistości konsystencjalnej, jak i tej sensytywnej – wyobrażonej, percypowanej na drodze synestezji. W prezentowanym artykule, pełniącym rolę asumptu do dalszych badań nad poetycką aktywnością autora Saudade, zwrócono szczególną uwagę na więź człowieka z Bogiem, kontakt z sacrum, przejawiającymi się w wewnętrznych przeżyciach podmiotu lirycznego, bezustannie szukającego swojego miejsca w świecie. Aby zbliżyć się do zrozumienia działań bohatera tej poezji wykorzystano przede wszystkim instrumentarium oferowane przez metodologie badań sacrum.
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  23.  3
    „W przestrzeń bezgraniczną marzeniem mknę skrzydlatem…”. O przestrzeni w wybranych lirykach Zdzisława Dębickiego.Bartłomiej Borek - 2019 - Humanistyka I Przyrodoznawstwo 24:407-421.
    Poetycka twórczość Zdzisława Dębickiego to przykład pisarstwa korzystającego z różnych poetyk, co przejawiało się w wielorakim charakteryzowaniu składających się na nią przestrzeni. Autor Nocy bezsennych, uważany za poetę minorum gentium, umiejętnie wykorzystywał literackie dokonania ówczesnych poetów, powołując do istnienia obszary, pełniące jednocześnie funkcję ekspresji własnej podmiotowości artystycznej. Czytanie liryków Dębickiego pozwala na zestawienie intymnych zwierzeń podmiotu lirycznego z ogołoconą z bogactwa opisu pustą przestrzenią. Przestrzeń, jako jedna z kategorii epistemologiczno-ontologicznych, nie jest dla poety jedynie narzędziem służącym tworzeniu atrakcyjnego obrazka, ale (...)
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  24. Czy upływ czasu istnieje? Próba odpowiedzi na paradoks McTaggarta.Bartłomiej Czajka - 2011 - Hybris. Internetowy Magazyn Filozoficzny 12.
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  25. Immune system, immune self. Introduction.Bartłomiej Świątczak - 2012 - Avant: Trends in Interdisciplinary Studies 3 (1):12-18.
    The idea that the immune system distinguishes between self and non-self was one of the central assumptions of immunology in the second half of 20 th century. This idea influenced experimental design and data interpretation. However, in the face of new evidence there is a need for a new conceptual framework in immunology.
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  26. Immunoglobulins and Antibodies: Conceptual Projections All the Way Down.Bartlomiej Swiatczak - 2022 - Constructivist Foundations 18 (1):85-86.
    Central to vaccination-induced responses, antibodies are suggested by Vaz to operate as observer-dependent entities that owe their status to categorization schemes of immunologists. Inspired by color research by Maturana, he argues that antibodies should be distinguished from immunoglobulins, which unlike the former can be considered as constituents of structural dynamics of an organism, products of millions of years of evolution. However, a deeper understanding of the historical roots of the concept of immunoglobulin and associated “languaging” and naming processes reveals that (...)
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  27.  11
    Weaker cousins of Ramsey's theorem over a weak base theory.Marta Fiori-Carones, Leszek Aleksander Kołodziejczyk & Katarzyna W. Kowalik - 2021 - Annals of Pure and Applied Logic 172 (10):103028.
  28.  81
    The strength of sharply bounded induction requires M S P.Sedki Boughattas & Leszek Aleksander Kołodziejczyk - 2010 - Annals of Pure and Applied Logic 161 (4):504-510.
    We show that the arithmetical theory -INDx5, formalized in the language of Buss, i.e. with x/2 but without the MSP function x/2y, does not prove that every nontrivial divisor of a power of 2 is even. It follows that this theory proves neither NP=coNP nor.
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  29.  75
    Immune balance: The development of the idea and its applications.Bartlomiej Swiatczak - 2014 - Journal of the History of Biology 47 (3):411-442.
    It has long been taken for granted that the immune system’s capacity to protect an individual from infection and disease depends on the power of the system to distinguish between self and nonself. However, accumulating data have undermined this fundamental concept. Evidence against the self/nonself discrimination model left researchers in need of a new overarching framework able to capture the immune system’s reactivity. Here, I highlight that along with the self/nonself model, another powerful representation of the immune system’s reactivity has (...)
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  30.  38
    Fragments of approximate counting.Samuel R. Buss, Leszek Aleksander Kołodziejczyk & Neil Thapen - 2014 - Journal of Symbolic Logic 79 (2):496-525.
    We study the long-standing open problem of giving$\forall {\rm{\Sigma }}_1^b$separations for fragments of bounded arithmetic in the relativized setting. Rather than considering the usual fragments defined by the amount of induction they allow, we study Jeřábek’s theories for approximate counting and their subtheories. We show that the$\forall {\rm{\Sigma }}_1^b$Herbrandized ordering principle is unprovable in a fragment of bounded arithmetic that includes the injective weak pigeonhole principle for polynomial time functions, and also in a fragment that includes the surjective weak pigeonhole (...)
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  31.  64
    Systemic features of immune recognition in the gut.Bartlomiej Swiatczak, Maria Rescigno & Irun Cohen - 2011 - Microbes and Infection 13:983-991.
    The immune system, to protect the body, must discriminate between the pathogenic and non-pathogenic microbes and respond to them in different ways. How the mucosal immune system manages to make this distinction is poorly understood. We suggest here that the distinction between pathogenic and non-pathogenic microbes is made by an integrated system rather than by single types of cells or single types of receptors; a systems biology approach is needed to understand immune recognition.
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  32.  7
    Ramsey’s theorem for pairs, collection, and proof size.Leszek Aleksander Kołodziejczyk, Tin Lok Wong & Keita Yokoyama - 2023 - Journal of Mathematical Logic 24 (2).
    We prove that any proof of a [Formula: see text] sentence in the theory [Formula: see text] can be translated into a proof in [Formula: see text] at the cost of a polynomial increase in size. In fact, the proof in [Formula: see text] can be obtained by a polynomial-time algorithm. On the other hand, [Formula: see text] has nonelementary speedup over the weaker base theory [Formula: see text] for proofs of [Formula: see text] sentences. We also show that for (...)
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  33.  15
    Real closures of models of weak arithmetic.Emil Jeřábek & Leszek Aleksander Kołodziejczyk - 2013 - Archive for Mathematical Logic 52 (1):143-157.
    D’Aquino et al. (J Symb Log 75(1):1–11, 2010) have recently shown that every real-closed field with an integer part satisfying the arithmetic theory IΣ4 is recursively saturated, and that this theorem fails if IΣ4 is replaced by IΔ0. We prove that the theorem holds if IΣ4 is replaced by weak subtheories of Buss’ bounded arithmetic: PV or $${\Sigma^b_1-IND^{|x|_k}}$$. It also holds for IΔ0 (and even its subtheory IE 2) under a rather mild assumption on cofinality. On the other hand, it (...)
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  34.  8
    Experimental Utopia: Edward Abramowski's "Applied Social Science".Bartłomiej Adam Błesznowski - 2023 - Utopian Studies 34 (1):80-99.
    Abstractabstract:The aim of this article is to analyze the close relation between social theory (“sociological phenomenalism”) and the political ideology of the Polish thinker Edward Abramowski. Abramowski’s “applied sociology” involved: (1) the sociology of “fraternity,” examining basic forms of socialization; (2) combining social revolution with ethical self-improvement; and (3) the dissemination of “social laboratories” through the development of a network of cooperatives. As “experiments of the will,” the cooperatives allowed Abramowski to combine science, imagination, and ethics in a coherent project (...)
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  35.  30
    A Wholesome Anthropocentrism: Reconceptualizing the Value of Nature Within the Framework of An Enlightened Self-Interest.Bartlomiej A. Lenart - 2020 - Ethics and the Environment 25 (2):97.
    Abstract:Non-anthropocentric approaches to environmental ethics face problems that cannot be resolved within a holistic framework of natural value since such frameworks posit abstract and general properties as the bearers of intrinsic value and thus ignore the moral claims of individual organisms. Two paradigm examples of such approaches, Aldo Leopold's Land Ethic and Arne Neass' Deep Ecology suffer from this problem. Christine Korsgaard's argument for the conceptual separation of intrinsic and instrumental valuing, however, serves as a strong theoretical grounding for a (...)
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  36. Conscious Representations: An Intractable Problem for the Computational Theory of Mind.Bartlomiej Swiatczak - 2011 - Minds and Machines 21 (1):19-32.
    Advocates of the computational theory of mind claim that the mind is a computer whose operations can be implemented by various computational systems. According to these philosophers, the mind is multiply realisable because—as they claim—thinking involves the manipulation of syntactically structured mental representations. Since syntactically structured representations can be made of different kinds of material while performing the same calculation, mental processes can also be implemented by different kinds of material. From this perspective, consciousness plays a minor role in mental (...)
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  37. Deleuze/Foucault: Alians filozoficzny/alians polityczny.Bartłomiej Błesznowski - 2010 - Nowa Krytyka 24.
  38. Demokracja i mit. Leszka Kołakowskiego „jak gdyby” filozofia polityki.Bartłomiej Błesznowski - 2012 - Archiwum Historii Filozofii I Myśli Społecznej 57.
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  39.  8
    Metaphysics of cooperation: Edward Abramowski's social philosophy, with a selection of his writings.Bartłomiej Błesznowski, Cezary Rudnicki, Michelle Granas & Edward Abramowski (eds.) - 2023 - Boston: Brill.
    The Metaphysics of Cooperation presents the intellectual achievements of the Polish associative socialist and pioneer of social sciences, Edward Abramowski. The volume is divided into five sections, each of them contains an analysis of Polish philosopher's work according to the issues he dealt with: sociology, ethics, politics, cooperativism, and psychology. Each part also contains a selection of his writings. Its intention is to show Abramowski's works in the context of global intellectual history and to include them in the current political (...)
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  40. „Poza przemocą i poza prawem”. Giorgio Agambena reaktywacja filozofii politycznej.Bartłomiej Błesznowski - 2010 - Hybris. Internetowy Magazyn Filozoficzny 11.
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  41. Sociology of associations : Edward Abramowski between socialism and sociological theory.Bartłomiej Błesznowski - 2023 - In Bartłomiej Błesznowski, Cezary Rudnicki, Michelle Granas & Edward Abramowski (eds.), Metaphysics of cooperation: Edward Abramowski's social philosophy, with a selection of his writings. Boston: Brill.
  42. On the Cognitive Role of Singular Thoughts.Bartłomiej Czajka & Jędrzej Piotr Grodniewicz - 2017 - Review of Philosophy and Psychology 8 (3):573-594.
    This paper offers a critical review of the notion of a “singular cognitive role”, which is central to some recent theories of singular thought. According to those theories, whether a thought is singular depends on the role it plays in the subject’s cognitive activity. We compare the two most developed accounts of this type: Crane’s :21–43 2011, The Objects of Thought2013) and Jeshion’s. Both theories aim to capture the notion of a singular cognitive role in terms of mental files. We (...)
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  43.  51
    Why We Shouldn’t Pity Schrödinger’s Kitty: Revisiting David Lewis’ Worry About Quantum Immortality in a Branching Multiverse.Bartlomiej A. Lenart - 2019 - Metaphysica 20 (1):117-136.
    David Lewis cautions that although a no-collapse interpretation of quantum mechanics entails immortality for trans-world selves, the nature of the branching leaves us crippled, lonely, deathly ill, and mentally infirm, meaning that immortal life, on such terms, amounts to an existence in eternal torment. This paper argues that the problem Lewis points to is in fact one of individuation and that a synthesis of Lewis’ own notion of perdurance and Robert Nozick’s closest continuer theory, when cast in the mould of (...)
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  44.  17
    Sims and Vulnerability: On the Ethics of Creating Emulated Minds.Bartlomiej Chomanski - 2022 - Science and Engineering Ethics 28 (6):1-17.
    It might become possible to build artificial minds with the capacity for experience. This raises a plethora of ethical issues, explored, among others, in the context of whole brain emulations (WBE). In this paper, I will take up the problem of vulnerability – given, for various reasons, less attention in the literature – that the conscious emulations will likely exhibit. Specifically, I will examine the role that vulnerability plays in generating ethical issues that may arise when dealing with WBEs. I (...)
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  45.  48
    Evolution within the body: The rise and fall of somatic Darwinism in the late nineteenth century.Bartlomiej Swiatczak - 2023 - History and Philosophy of the Life Sciences 45 (8):1-27.
    Originating in the work of Ernst Haeckel and Wilhelm Preyer, and advanced by a Prussian embryologist, Wilhelm Roux, the idea of struggle for existence between body parts helped to establish a framework, in which population cell dynamics rather than a predefined harmony guides adaptive changes in an organism. Intended to provide a causal-mechanical view of functional adjustments in body parts, this framework was also embraced later by early pioneers of immunology to address the question of vaccine effectiveness and pathogen resistance. (...)
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  46.  26
    Anti‐natalism and the Creation of Artificial Minds.Bartlomiej “Bartek” Chomanski - 2021 - Journal of Applied Philosophy 38 (5):870-885.
    Journal of Applied Philosophy, EarlyView.
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  47.  9
    A Moral Bind? — Autonomous Weapons, Moral Responsibility, and Institutional Reality.Bartlomiej Chomanski - 2023 - Philosophy and Technology 36 (2):1-14.
    In “Accepting Moral Responsibility for the Actions of Autonomous Weapons Systems—a Moral Gambit” (2022), Mariarosaria Taddeo and Alexander Blanchard answer one of the most vexing issues in current ethics of technology: how to close the so-called “responsibility gap”? Their solution is to require that autonomous weapons systems (AWSs) may only be used if there is some human being who accepts the ex ante responsibility for those actions of the AWS that could not have been predicted or intended (in such cases, (...)
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    Pauses, parrots, and poor arguments: real-world constraints undermine recent calls for AI regulation.Bartlomiej Chomanski - forthcoming - AI and Society:1-3.
  49. Trzy źródła wiedzy o przedmiocie w świetle koncepcji Charlesa Sandersa Perice'a.Bartłomiej Świątczak - 2002 - Principia.
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    Truth definitions without exponentiation and the Σ₁ collection scheme.Zofia Adamowicz, Leszek Aleksander Kołodziejczyk & Jeff Paris - 2012 - Journal of Symbolic Logic 77 (2):649-655.
    We prove that: • if there is a model of I∆₀ + ¬ exp with cofinal Σ₁-definable elements and a Σ₁ truth definition for Σ₁ sentences, then I∆₀ + ¬ exp +¬BΣ₁ is consistent, • there is a model of I∆₀ Ω₁ + ¬ exp with cofinal Σ₁-definable elements, both a Σ₂ and a ∏₂ truth definition for Σ₁ sentences, and for each n > 2, a Σ n truth definition for Σ n sentences. The latter result is obtained by (...)
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