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76Cyberculture, symbiosis, and syncretismAI and Society 33 (3): 447-452. 2018.The impact of Cyberculture, of digital devices on young people as extensions of the body, can be seen in terms of the decreasing structuring of thoughts and information, increasing impulsivity in perception and action, and the development of more primitive defense mechanisms. These adverse impacts result in the feeling of isolation and devaluation, frustration of present and uncertainty of the future, exteriorization and floating identities, mimetic and adhesive identifications, less cohesion of…Read more
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70Applications of the topological representation of the pcf-structureArchive for Mathematical Logic 47 (5): 517-527. 2008.We consider simplified representation theorems in pcf-theory and, in particular, we prove that if ${\aleph_{\omega}^{\aleph_{0}} > \aleph_{\omega_{1}}\cdot2^{\aleph_{0}}}$ then there are cofinally many sequences of regular cardinals such that ${\aleph_{\omega_{1}+1}}$ is represented by these sequences modulo the ideal of finite subsets, using a topological approach to the pcf-structure
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68Propositional proof compressions and DNF logicLogic Journal of the IGPL 19 (1): 62-86. 2011.This paper is a continuation of dag-like proof compression research initiated in [9]. We investigate proof compression phenomenon in a particular, most transparent case of propositional DNF Logic. We define and analyze a very efficient semi-analytic sequent calculus SEQ*0 for propositional DNF. The efficiency is achieved by adding two special rules CQ and CS; the latter rule is a variant of the weakened substitution rule WS from [9], while the former one being specially designed for DNF sequents…Read more
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68Knowledge assimilation in domains of actions: a possible causes approachJournal of Applied Non-Classical Logics 7 (1-2): 77-116. 1997.ABSTRACT One major problem in the process of knowledge assimilation is how to deal with inconsistency of new knowledge and the existing knowledge base. In this paper we present a formal, provably correct and yet computational methodology for assimilation of new knowledge into knowledge bases about actions and changes based on the slogan: what is believed is what is explained. Technically, we employ Gelfond and Lifschitz' action description language A to describe domains of actions. The knowledge…Read more
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64Finitely many-valued logics and natural deductionLogic Journal of the IGPL 22 (2): 333-354. 2014.
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73Our Themes on Abduction in Human Reasoning: A SynopsisIn John R. Shook & Sami Paavola (eds.), Abduction in Cognition and Action: Logical Reasoning, Scientific Inquiry, and Social Practice, Springer Verlag. pp. 279-293. 2021.Psychological experiments have shown that humans do not reason according to classical logic. Therefore, we might argue that logic-based approaches in general are not suitable for modeling human reasoning. Yet, we take a different view and are convinced that logic can help us as an underlying formalization of a cognitive theory, but claim rather that classical logic is not adequate for this purpose. In this chapter we investigate abduction and its link to human reasoning. In particular we discuss…Read more
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51Special issue arising from the Third International Workshop on Computational Models of Scientific Reasoning and ApplicationsJournal of Applied Logic 2 (4): 381-384. 2004.
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53Common-sense reasoning as proto-scientific agent activityJournal of Applied Logic 2 (4): 385-407. 2004.
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154Hybrid probabilistic logic programs as residuated logic programsStudia Logica 72 (1): 113-138. 2002.In this paper we show the embedding of Hybrid Probabilistic Logic Programs into the rather general framework of Residuated Logic Programs, where the main results of (definite) logic programming are validly extrapolated, namely the extension of the immediate consequences operator of van Emden and Kowalski. The importance of this result is that for the first time a framework encompassing several quite distinct logic programming semantics is described, namely Generalized Annotated Logic Programs, F…Read more
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87Belief, provability, and logic programsJournal of Applied Non-Classical Logics 5 (1): 31-50. 1995.ABSTRACT The main goal of this paper is to establish a nonmonotonic epistemic logic ϵβ with two modalities—provability and belief—capable of expressing and comparing a variety of known semantics for extended logic programs, and clarify their meaning. In particular we present here, for the first time, embeddings into epistemic logic of logic programs extended with a second kind of negation under the well-founded semantics, and contrast them to the recent embeddings into autoepistemic logics of su…Read more
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70An encompassing framework for Paraconsistent Logic ProgramsJournal of Applied Logic 3 (1): 67-95. 2005.
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249Methodological naturalism and epistemic internalismSynthese 163 (3): 315-328. 2008.Epistemic naturalism holds that the results or methodologies from the cognitive sciences are relevant to epistemology, and some have maintained that scientific methods are more compatible with externalist theories of justification than with internalist theories. But practically all discussions about naturalized epistemology are framed exclusively in terms of cognitive psychology, which is only one of the cognitive sciences. The question addressed in this essay is whether a commitment to naturali…Read more
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40Counterfactuals in Critical Thinking with Application to MoralityIn Lorenzo Magnani & Claudia Casadio (eds.), Model Based Reasoning in Science and Technology. Logical, Epistemological, and Cognitive Issues, Springer International Publishing. 2006.Counterfactuals are conjectures about what would have happened, had an alternative event occurred. It provides lessons for the future by virtue of contemplating alternatives; it permits thought debugging; it supports a justification why different alternatives would have been worse or not better. Typical expressions are: “If only I were taller …”, “I could have been a winner …”, “I would have passed, were it not for …”, “Even if... the same would follow”. Counterfactuals have been well studied in…Read more
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48Programming Machine EthicsImprint: Springer. 2016.This book addresses the fundamentals of machine ethics. It discusses abilities required for ethical machine reasoning and the programming features that enable them. It connects ethics, psychological ethical processes, and machine implemented procedures. From a technical point of view, the book uses logic programming and evolutionary game theory to model and link the individual and collective moral realms. It also reports on the results of experiments performed using several model implementations…Read more
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147The PCF Conjecture and Large CardinalsJournal of Symbolic Logic 73 (2). 2008.We prove that a combinatorial consequence of the negation of the PCF conjecture for intervals, involving free subsets relative to set mappings, is not implied by even the strongest known large cardinal axiom