Results for 'modulated logics'

958 found
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  1. Modulated logics and flexible reasoning.Walter Carnielli & Maria Cláudia C. Grácio - 2008 - Logic and Logical Philosophy 17 (3):211-249.
    This paper studies a family of monotonic extensions of first-order logic which we call modulated logics, constructed by extending classical logic through generalized quantifiers called modulated quantifiers. This approach offers a new regard to what we call flexible reasoning. A uniform treatment of modulated logics is given here, obtaining some general results in model theory. Besides reviewing the “Logic of Ultrafilters”, which formalizes inductive assertions of the kind “almost all”, two new monotonic logical systems are (...)
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  2. Analyticity and modulation. Broadening the rescale perspective on language logicality.Salvatore Pistoia-Reda & Uli Sauerland - 2021 - International Review of Pragmatics 1 (13):1-13.
    Acceptable analyticities, i.e. contradictions or tautologies, constitute problematic evidence for the idea that language includes a deductive system. In recent discussion, two accounts have been presented in the literature to explain the available evidence. According to one of the accounts, grammatical analyticities are accessible to the system but a pragmatic strengthening repair mechanism can apply and prevent the structures from being actually interpreted as contradictions or tautologies. The proposed data, however, leaves it open whether other versions of the meaning modulation (...)
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  3. Beyond the ‘Last Phenomenology’: Rhythmic Modulations in Gilles Deleuze’s The Logic of Sensation.Iain Campbell - 2023 - Deleuze and Guattari Studies 17 (3):301-325.
    This article reconstructs Gilles Deleuze’s engagement with phenomenology, and with the phenomenological problematic of sensation, in his Francis Bacon: The Logic of Sensation. Considering Deleuze’s adoption, from the phenomenology of art, of notions of sensation and rhythm, it examines how Deleuze complexifies these phenomenological notions by aligning them with his profoundly non-phenomenological notion of the body without organs, as well as with the concepts of modulation and the diagram. In mapping Deleuze’s complexification of rhythm and his development of a logic (...)
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  4. The Logic of Qualia.Drew McDermott - manuscript
    Logic is useful as a neutral formalism for expressing the contents of mental representations. It can be used to extract crisp conclusions regarding the higher-order theory of phenomenal consciousness developed in (McDermott 2001, 20007). A key aspect of conscious perceptions is their connection to the distinction between appearance and reality. Perceptions must often be corrected. To do so requires that the logic of perception be able to represent the logical structure of judgment events, that is, to include the formulas of (...)
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  5. On logicality and natural logic.Salvatore Pistoia-Reda & Luca San Mauro - 2021 - Natural Language Semantics 29 (3):501-506.
    In this paper we focus on the logicality of language, i.e. the idea that the language system contains a deductive device to exclude analytic constructions. Puzzling evidence for the logicality of language comes from acceptable contradictions and tautologies. The standard response in the literature involves assuming that the language system only accesses analyticities that are due to skeletons as opposed to standard logical forms. In this paper we submit evidence in support of alternative accounts of logicality, which reject the stipulation (...)
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  6. Baby Logic – a Hinge Epistemology.Jakob Ohlhorst - forthcoming - Erkenntnis.
    Epistemologists have begun paying attention to the phenomenon of _core cognition_ from developmental psychology. Core cognition posits innate automatic cognitive modules that enable children to quickly grasp and learn certain concepts. A key element of core cognition is sometimes named _core knowledge_ because it encodes the constraints, parameters, and concepts that are required for core cognition modules to function. Until now, no successful epistemological account of it has been presented, and it is difficult to integrate into standard accounts of epistemology (...)
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  7. Normalizing medical ontologies using Basic Formal Ontology.Thomas Bittner & Barry Smith - 2004 - In K. Versorgung & V. Forschung (eds.), Ubiquitäre Information (Proceedings of GMDS 2004). Videel OHG. pp. 199-201.
    Description Logics are nowadays widely accepted as formalisms which provide reasoning facilities which allow us to discover inconsistencies in ontologies in an automatic fashion. Where ontologies are developed in modular fashion, they allow changes in one module to propogated through the system of ontologies automatically in a way which helps to maintain consistency and stability. For this feature to be utilized effectively, however, requires that domain ontologies be represented in a normalized form.
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  8. (1 other version)Implicit Bias: from social structure to representational format.Josefa Toribio - 2018 - Theoria : An International Journal for Theory, History and Fundations of Science 33 (1):41-60.
    In this paper, I argue against the view that the representational structure of the implicit attitudes responsible for implicitly biased behaviour is propositional—as opposed to associationist. The proposal under criticism moves from the claim that implicit biased behaviour can occasionally be modulated by logical and evidential considerations to the view that the structure of the implicit attitudes responsible for such biased behaviour is propositional. I argue, in particular, against the truth of this conditional. Sensitivity to logical and evidential considerations, (...)
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  9. Living Words: Meaning Underdetermination and the Dynamic Lexicon.Peter Ludlow - 2014 - Oxford, GB: Oxford University Press.
    Peter Ludlow shows how word meanings are much more dynamic than we might have supposed, and explores how they are modulated even during everyday conversation. The resulting view is radical, and has far-reaching consequences for our political and legal discourse, and for enduring puzzles in the foundations of semantics, epistemology, and logic.
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  10. The science of art: A neurological theory of aesthetic experience.Vilayanur Ramachandran & William Hirstein - 1999 - Journal of Consciousness Studies 6 (6-7):15-41.
    We present a theory of human artistic experience and the neural mechanisms that mediate it. Any theory of art has to ideally have three components. The logic of art: whether there are universal rules or principles; The evolutionary rationale: why did these rules evolve and why do they have the form that they do; What is the brain circuitry involved? Our paper begins with a quest for artistic universals and proposes a list of ‘Eight laws of artistic experience’ -- a (...)
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  11. Attitude, Inference, Association: On the Propositional Structure of Implicit Bias.Eric Mandelbaum - 2015 - Noûs 50 (3):629-658.
    The overwhelming majority of those who theorize about implicit biases posit that these biases are caused by some sort of association. However, what exactly this claim amounts to is rarely specified. In this paper, I distinguish between different understandings of association, and I argue that the crucial senses of association for elucidating implicit bias are the cognitive structure and mental process senses. A hypothesis is subsequently derived: if associations really underpin implicit biases, then implicit biases should be modulated by (...)
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  12. Fortified Historical Dwelling Reevaluated in Modern Context, Gjirokastra, Albania.Klodjan Xhexhi - 2021 - Quest Journals Journal of Architecture and Civil Engineering 6 (1):25-34.
    Gjirokastra’s buildings occupy a special place in the housing typology of Albanian popular dwellings in the feudal period. The “popular tower" is linked with its defensive character, therefore in many cases, it takes the name of a castle or defensive tower. This paper takes into consideration a typical example of the historical fortified dwelling in a well-known city of Albania, Gjirokastra. The methodology used in order to improve the way of thinking, the way of implementing, and the way of designing (...)
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  13. Synthetic Biology and Biofuels.Catherine Kendig - 2012 - In Paul B. Thompson & David M. Kaplan (eds.), Encyclopedia of Food and Agricultural Ethics. New York: Springer Verlag.
    Synthetic biology is a field of research that concentrates on the design, construction, and modification of new biomolecular parts and metabolic pathways using engineering techniques and computational models. By employing knowledge of operational pathways from engineering and mathematics such as circuits, oscillators, and digital logic gates, it uses these to understand, model, rewire, and reprogram biological networks and modules. Standard biological parts with known functions are catalogued in a number of registries (e.g. Massachusetts Institute of Technology Registry of Standard Biological (...)
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  14. COEVOLUTIONARY SEMANTICS OF TECHNOLOGICAL CIVILIZATION GENESIS AND EVOLUTIONARY RISK (BETWEEN THE BIOAESTHETICS AND BIOPOLITICS).V. T. Cheshko & O. N. Kuz - 2016 - Anthropological Dimensions of Philosophical Studies (10):43-55.
    Purpose (metatask) of the present work is to attempt to give a glance at the problem of existential and anthropo- logical risk caused by the contemporary man-made civilization from the perspective of comparison and confronta- tion of aesthetics, the substrate of which is emotional and metaphorical interpretation of individual subjective values and politics feeding by objectively rational interests of social groups. In both cases there is some semantic gap pre- sent between the represented social reality and its representation in perception (...)
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  15. The Self The Soul and The World: Affect Reason and Complexity.Avijit Lahiri - manuscript
    This book looks at the affective-cognitive roots of how the human mind inquires into the workings of nature and, more generally, how the mind confronts reality. Reality is an infinitely complex system, in virtue of which the mind can comprehend it only in bits and pieces, by making up interpretations of the myriads of signals received from the world by way of integrating those with information stored from the past. This constitutes a piecemeal interpretation by which we assemble our phenomenal (...)
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  16. Causal Inferences in Repetitive Transcranial Magnetic Stimulation Research: Challenges and Perspectives.Justyna Hobot, Michał Klincewicz, Kristian Sandberg & Michał Wierzchoń - 2021 - Frontiers in Human Neuroscience 14:574.
    Transcranial magnetic stimulation is used to make inferences about relationships between brain areas and their functions because, in contrast to neuroimaging tools, it modulates neuronal activity. The central aim of this article is to critically evaluate to what extent it is possible to draw causal inferences from repetitive TMS data. To that end, we describe the logical limitations of inferences based on rTMS experiments. The presented analysis suggests that rTMS alone does not provide the sort of premises that are sufficient (...)
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  17. The trajectory of self.Timothy Lane, Niall W. Duncan, Tony Cheng & Georg Northoff - 2016 - Trends in Cognitive Sciences 20 (7):481-482.
    In a recent Opinion article, Sui and Humphreys [1] argue that experimental findings suggest self is ‘special’, in that self-reference serves a binding function within human cognitive economy. Contrasting their view with other functionalist positions, chiefly Dennett's [2], they deny that self is a convenient fiction and adduce findings to show that a ‘core self representation’ serves as an ‘integrative glue’ helping to bind distinct types of information as well as distinct stages of psycho- logical processing. In other words, where (...)
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  18. On Transistor Radios and Authoritarianism: The Politics of Radio-Broadcasted Distance Learning.Regletto Aldrich Imbong - forthcoming - Techné: Research in Philosophy and Technology.
    As the Philippines continues to grapple with the effects of the COVID-19 pandemic, new modalities of instruction are being devised by the administration of Rodrigo Duterte, through the Department of Education (DepEd). Among these are what the DepEd provided as self-learning modules (SLMs) combined with “alternative learning delivery modalities” which include radio-based instruction (DepEd 2020). The SLMs and radiobased instruction are the most common modalities of learning, being the most accessible especially for the poor students of the country. This paper (...)
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  19. ТРАНСБІОПОЛІТИЧНИЙ ХРОНОТОП ТЕХНОЛОГІЧНОЇ ЦИВІЛІЗАЦІЇ: БІО- І ГЕОПОЛІТИЧНІ КОННОТАЦІЇ МІЖНАРОДНИХ ВІДНОСИН (TRANSBIOPOLITICAL CHRONOTOPE OF TECHNOLOGICAL CIVILIZATION: BIO- AND GEOPOLITICAL CONNOTATIONS OF INTERNATIONAL RELATION).Valentin Cheshko, Nina Konnova & Oleh Kuz - 2022 - Epistemological studies in Philosophy, Social and Political Sciences 5 (2):143-150.
    Problem Statement. In modern conditions the reconstruction of self-developing socio-technological- ecological systems, which include man as its element, is actualized. The result of such a construction will be the management of the value of technogenic risk in its biological, social and civilizational forms. And the obvious consequence will be the transition of the development of biopolitical problems to a new, no longer international, but global-evolutionary level. The theory and practice of such a reconstruction can be designated by the category of (...)
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  20. OHMI: The Ontology of Host-Microbiome Interactions.Yongqun He, Haihe Wang, Jie Zheng, Daniel P. Beiting, Anna Maria Masci, Hong Yu, Kaiyong Liu, Jianmin Wu, Jeffrey L. Curtis, Barry Smith, Alexander V. Alekseyenko & Jihad S. Obeid - 2019 - Journal of Biomedical Semantics 10 (1):1-14.
    Host-microbiome interactions (HMIs) are critical for the modulation of biological processes and are associated with several diseases, and extensive HMI studies have generated large amounts of data. We propose that the logical representation of the knowledge derived from these data and the standardized representation of experimental variables and processes can foster integration of data and reproducibility of experiments and thereby further HMI knowledge discovery. A community-based Ontology of Host-Microbiome Interactions (OHMI) was developed following the OBO Foundry principles. OHMI leverages established (...)
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  21. Transbiopolitics: Ontology and Metatheory of Managed Evolution.Valentin Cheshko & Kuz Oleh - 2021 - Epistemological studies in Philosophy, Social and Political Sciences 4 (1):1-11.
    Applied technological developments are represented by (1) genetic engineering as management tools of biological evolution and (2) socio-economic engineering as management tools of civilizational and socio-cultural development. This binary structure logically follows from the postulated three-module organization of the sustainable evolutionary strategy of the sentient human being. Naturphilosophy once again acquires the status of the basis of the theory of evolution in an explicit way. There is a system of metaphysical postulates and ontological categories derived from the anthropic principle of (...)
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  22. Austrian populism after the victory of FPÖ (Austrian Freedom Party) in 1999 elections: political success of the discursive strategy of exclusion.Roberta Pasquarè - 2013 - In Hedwig Giusto, David Kitching & Stefano Rizzo (eds.), The changing faces of populism. Systemic challengers in Europe and the U.S. Rowman & Littlefield. pp. 27-47.
    The subject of this paper is the increasing success of the FPÖ, the Austrian Freedom Party commonly classified as a right-wing populist party. Analyzing the possible causes of this incremental success, I especially focus on the party’s communication strategy. My thesis is that the discursive strategy of the FPÖ revolves around the unwarranted identification of persons and practices depicted as a benevolent and salvific “we” artificially set against a malevolent and dangerous “they”. This identification is unwarranted because it lacks any (...)
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  23. An evolutionary metaphysics of human enhancement technologies.Valentin Cheshko - manuscript
    The monograph is an English, expanded and revised version of the book Cheshko, V. T., Ivanitskaya, L.V., & Glazko, V.I. (2018). Anthropocene. Philosophy of Biotechnology. Moscow, Course. The manuscript was completed by me on November 15, 2019. It is a study devoted to the development of the concept of a stable evolutionary human strategy as a unique phenomenon of global evolution. The name “An Evolutionary Metaphysics (Cheshko, 2012; Glazko et al., 2016). With equal rights, this study could be entitled “Biotechnology (...)
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  24. Discovering Empirical Theories of Modular Software Systems. An Algebraic Approach.Nicola Angius & Petros Stefaneas - 2016 - In Vincent C. Müller (ed.), Computing and philosophy: Selected papers from IACAP 2014. Cham: Springer. pp. 99-115.
    This paper is concerned with the construction of theories of software systems yielding adequate predictions of their target systems’ computations. It is first argued that mathematical theories of programs are not able to provide predictions that are consistent with observed executions. Empirical theories of software systems are here introduced semantically, in terms of a hierarchy of computational models that are supplied by formal methods and testing techniques in computer science. Both deductive top-down and inductive bottom-up approaches in the discovery of (...)
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  25. Review of Elkins Our Beautiful Dry and Distant Texts: Art History as Writing. [REVIEW]Jennifer A. McMahon - 2001 - Australasian Journal of Philosophy 79 (1):142-143.
    In order to say what one means, and be understood, one needs to know to whom one wishes to communicate, the particular mindset one addresses. Expressing oneself clearly and naturally requires some art. Style, then, is an important component of the message received, or so it is in art history writing according to James Elkins. He attempts to demonstrate that what constitutes art history writing is consequently unanalysable; that art history under analysis becomes something else. ‘The glare of logic’ Elkins (...)
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  26. Language and Thought: A Critical Appraisal to Wittgenstein and Fodor.Mudasir Ahmad Tantray & Tariq Rafeeq Khan - 2021 - Wesleyan Journal of Research 14 (4):142-152.
    This research explores the critical study of language and thought. It is a response to Wittgenstein and Fodor who believe in priority, superiority, and individuality of language and thought. In this paper, we can resolve this language and thought dichotomy to discuss the concept of priority issue. We shall argue that language and thought are modular concepts inside mind and here are also other modules present in our mind. This paper determines the role of language and thought and their priority (...)
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  27. Înțeles, sens și referință în filosofia limbajului și logica filosofică.Nicolae Sfetcu - 2019 - Drobeta Turnu Severin: MultiMedia Publishing.
    Filosofia limbajului are legătură cu studiul modului în care limbajul nostru se implică și interacționează cu gândirea noastră. Studierea logicii și relația dintre logică și vorbirea obișnuită poate ajuta o persoană să își structureze mai bine propriile argumente și să critice argumentele celorlalți. Înțelesul este modul în care pot fi considerate în mod corespunzător cuvinte, simboluri, idei și convingeri, definiția sa depinzând de teoria abordată, precum teoria corespondenței, teoria coerenței, teoria constructivistă, teoria consensului sau teoria pragmatică. Există mai multe explicații (...)
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  28. (1 other version)Universal Consciousness.Alexis Karpouzos - 2016 - Athens, Greece: COSMIC SPIRIT.
    The central teaching of mysticism is that Everything is One, whereas from the side of rationalism the universe is Multiple. The essence of the mystical tradition is not a particular philosophical system, but the simple realization that the soul of any individual/existence is identified with the Absolute. A special feature of the mysticism is the elimination of discriminations, i.e. the One and the Multiple are identical.On the other hand, in rationalism the One and the Multiple differ substantially. Mysticism aims at (...)
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  29. Between Language and Consciousness: Linguistic Qualia, Awareness, and Cognitive Models.Piotr Konderak - 2017 - Studies in Logic, Grammar and Rhetoric 48 (1):285-302.
    The main goal of the paper is to present a putative role of consciousness in language capacity. The paper contrasts the two approaches characteristic for cognitive semiotics and cognitive science. Language is treated as a mental phenomenon and a cognitive faculty. The analysis of language activity is based on the Chalmers’ distinction between the two forms of consciousness: phenomenal and psychological. The approach is seen as an alternative to phenomenological analyses typical for cognitive semiotics. Further, a cognitive model of the (...)
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  30. A Contextualist Account of the Linguistic Reality.Maciej Witek - 2008 - In Joanna Odrowąż-Sypniewska (ed.), Logic, Methodology and Philosophy of Science at Warsaw University 4. Semper.
    In this paper I consider the idea of external language and examine the role it plays in our understanding of human linguistic practice. Following Michael Devitt, I assume that the subject matter of a linguistic theory is not a psychologically real computational module, but a semiotic system of physical entities equipped with linguistic properties. 2 What are the physical items that count as linguistic tokens and in virtue of what do they possess phonetic, syntactic and semantic properties? According to Devitt, (...)
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  31. Semantical analysis of weak Kleene logics.Roberto Ciuni & Massimiliano Carrara - 2019 - Journal of Applied Non-Classical Logics 29 (1):1-36.
    This paper presents a semantical analysis of the Weak Kleene Logics Kw3 and PWK from the tradition of Bochvar and Halldén. These are three-valued logics in which a formula takes the third value if at least one of its components does. The paper establishes two main results: a characterisation result for the relation of logical con- sequence in PWK – that is, we individuate necessary and sufficient conditions for a set.
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  32. Towards a philosophical understanding of the logics of formal inconsistency.Walter Carnielli & Abílio Rodrigues - 2015 - Manuscrito 38 (2):155-184.
    In this paper we present a philosophical motivation for the logics of formal inconsistency, a family of paraconsistent logics whose distinctive feature is that of having resources for expressing the notion of consistency within the object language in such a way that consistency may be logically independent of non-contradiction. We defend the view according to which logics of formal inconsistency may be interpreted as theories of logical consequence of an epistemological character. We also argue that in order (...)
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  33. The philosophy of alternative logics.Andrew Aberdein & Stephen Read - 2009 - In Leila Haaparanta (ed.), The development of modern logic. New York: Oxford University Press. pp. 613-723.
    This chapter focuses on alternative logics. It discusses a hierarchy of logical reform. It presents case studies that illustrate particular aspects of the logical revisionism discussed in the chapter. The first case study is of intuitionistic logic. The second case study turns to quantum logic, a system proposed on empirical grounds as a resolution of the antinomies of quantum mechanics. The third case study is concerned with systems of relevance logic, which have been the subject of an especially detailed (...)
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  34. Collection Frames for Distributive Substructural Logics.Greg Restall & Shawn Standefer - 2023 - Review of Symbolic Logic 16 (4):1120-1157.
    We present a new frame semantics for positive relevant and substructural propositional logics. This frame semantics is both a generalisation of Routley–Meyer ternary frames and a simplification of them. The key innovation of this semantics is the use of a single accessibility relation to relate collections of points to points. Different logics are modeled by varying the kinds of collections used: they can be sets, multisets, lists or trees. We show that collection frames on trees are sound and (...)
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  35. LP, K3, and FDE as Substructural Logics.Lionel Shapiro - 2017 - In Arazim Pavel & Lávička Tomáš (eds.), The Logica Yearbook 2016. College Publications.
    Building on recent work, I present sequent systems for the non-classical logics LP, K3, and FDE with two main virtues. First, derivations closely resemble those in standard Gentzen-style systems. Second, the systems can be obtained by reformulating a classical system using nonstandard sequent structure and simply removing certain structural rules (relatives of exchange and contraction). I clarify two senses in which these logics count as “substructural.”.
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  36. On Partial and Paraconsistent Logics.Reinhard Muskens - 1999 - Notre Dame Journal of Formal Logic 40 (3):352-374.
    In this paper we consider the theory of predicate logics in which the principle of Bivalence or the principle of Non-Contradiction or both fail. Such logics are partial or paraconsistent or both. We consider sequent calculi for these logics and prove Model Existence. For L4, the most general logic under consideration, we also prove a version of the Craig-Lyndon Interpolation Theorem. The paper shows that many techniques used for classical predicate logic generalise to partial and paraconsistent (...) once the right set-up is chosen. Our logic L4 has a semantics that also underlies Belnap’s [4] and is related to the logic of bilattices. L4 is in focus most of the time, but it is also shown how results obtained for L4 can be transferred to several variants. (shrink)
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  37. Relating Semantics for Hyper-Connexive and Totally Connexive Logics.Jacek Malinowski & Ricardo Arturo Nicolás-Francisco - 2023 - Logic and Logical Philosophy (Special Issue: Relating Logic a):1-14.
    In this paper we present a characterization of hyper-connexivity by means of a relating semantics for Boolean connexive logics. We also show that the minimal Boolean connexive logic is Abelardian, strongly consistent, Kapsner strong and antiparadox. We give an example showing that the minimal Boolean connexive logic is not simplificative. This shows that the minimal Boolean connexive logic is not totally connexive.
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  38. Two semantic interpretations of probabilities in description logics of typicality.Antonio Lieto & Gian Luca Pozzato - forthcoming - Logic Journal of the IGPL.
    We intoduce a novel extension of Description Logics (DLs) of typicality by means of probabilities able to represent and reason about typical properties and defeasible inheritance in DLs.
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  39. Hierarchies of modal and temporal logics with reference pointers.Valentin Goranko - 1996 - Journal of Logic, Language and Information 5 (1):1-24.
    We introduce and study hierarchies of extensions of the propositional modal and temporal languages with pairs of new syntactic devices: point of reference-reference pointer which enable semantic references to be made within a formula. We propose three different but equivalent semantics for the extended languages, discuss and compare their expressiveness. The languages with reference pointers are shown to have great expressive power (especially when their frugal syntax is taken into account), perspicuous semantics, and simple deductive systems. For instance, Kamp's and (...)
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  40. Conjunction and Disjunction in Infectious Logics.Hitoshi Omori & Damian Szmuc - 2017 - In Alexandru Baltag, Jeremy Seligman & Tomoyuki Yamada (eds.), Logic, Rationality, and Interaction (LORI 2017, Sapporo, Japan). Springer. pp. 268-283.
    In this paper we discuss the extent to which conjunction and disjunction can be rightfully regarded as such, in the context of infectious logics. Infectious logics are peculiar many-valued logics whose underlying algebra has an absorbing or infectious element, which is assigned to a compound formula whenever it is assigned to one of its components. To discuss these matters, we review the philosophical motivations for infectious logics due to Bochvar, Halldén, Fitting, Ferguson and Beall, noticing that (...)
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  41. Fusion, fission, and Ackermann’s truth constant in relevant logics: A proof-theoretic investigation.Fabio De Martin Polo - 2024 - In Andrew Tedder, Shawn Standefer & Igor Sedlar (eds.), New Directions in Relevant Logic. Springer.
    The aim of this paper is to provide a proof-theoretic characterization of relevant logics including fusion and fission connectives, as well as Ackermann’s truth constant. We achieve this by employing the well-established methodology of labelled sequent calculi. After having introduced several systems, we will conduct a detailed proof-theoretic analysis, show a cut-admissibility theorem, and establish soundness and completeness. The paper ends with a discussion that contextualizes our current work within the broader landscape of the proof theory of relevant (...). (shrink)
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  42. Effective finite-valued approximations of general propositional logics.Matthias Baaz & Richard Zach - 2008 - In Arnon Avron & Nachum Dershowitz (eds.), Pillars of Computer Science: Essays Dedicated to Boris (Boaz) Trakhtenbrot on the Occasion of His 85th Birthday. Springer Verlag. pp. 107–129.
    Propositional logics in general, considered as a set of sentences, can be undecidable even if they have “nice” representations, e.g., are given by a calculus. Even decidable propositional logics can be computationally complex (e.g., already intuitionistic logic is PSPACE-complete). On the other hand, finite-valued logics are computationally relatively simple—at worst NP. Moreover, finite-valued semantics are simple, and general methods for theorem proving exist. This raises the question to what extent and under what circumstances propositional logics represented (...)
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  43. A Road Map of Interval Temporal Logics and Duration Calculi.Valentin Goranko, Angelo Montanari & Guido Sciavicco - 2004 - Journal of Applied Non-Classical Logics 14 (1-2):9-54.
    We survey main developments, results, and open problems on interval temporal logics and duration calculi. We present various formal systems studied in the literature and discuss their distinctive features, emphasizing on expressiveness, axiomatic systems, and (un)decidability results.
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  44. Theories of truth based on four-valued infectious logics.Damian Szmuc, Bruno Da Re & Federico Pailos - 2020 - Logic Journal of the IGPL 28 (5):712-746.
    Infectious logics are systems that have a truth-value that is assigned to a compound formula whenever it is assigned to one of its components. This paper studies four-valued infectious logics as the basis of transparent theories of truth. This take is motivated as a way to treat different pathological sentences differently, namely, by allowing some of them to be truth-value gluts and some others to be truth-value gaps and as a way to treat the semantic pathology suffered by (...)
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  45. Supervaluationism and Its Logics.Achille C. Varzi - 2007 - Mind 116 (463):633-676.
    What sort of logic do we get if we adopt a supervaluational semantics for vagueness? As it turns out, the answer depends crucially on how the standard notion of validity as truth preservation is recasted. There are several ways of doing that within a supervaluational framework, the main alternative being between “global” construals (e.g., an argument is valid iff it preserves truth-under-all-precisifications) and “local” construals (an argument is valid iff, under all precisifications, it preserves truth). The former alternative is by (...)
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  46. A general tableau method for propositional interval temporal logics: Theory and implementation.V. Goranko, A. Montanari, P. Sala & G. Sciavicco - 2006 - Journal of Applied Logic 4 (3):305-330.
    In this paper we focus our attention on tableau methods for propositional interval temporal logics. These logics provide a natural framework for representing and reasoning about temporal properties in several areas of computer science. However, while various tableau methods have been developed for linear and branching time point-based temporal logics, not much work has been done on tableau methods for interval-based ones. We develop a general tableau method for Venema's \cdt\ logic interpreted over partial orders (\nsbcdt\ for (...)
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  47. On graph-theoretic fibring of logics.A. Sernadas, C. Sernadas, J. Rasga & M. Coniglio - 2009 - Journal of Logic and Computation 19 (6):1321-1357.
    A graph-theoretic account of fibring of logics is developed, capitalizing on the interleaving characteristics of fibring at the linguistic, semantic and proof levels. Fibring of two signatures is seen as a multi-graph (m-graph) where the nodes and the m-edges include the sorts and the constructors of the signatures at hand. Fibring of two models is a multi-graph (m-graph) where the nodes and the m-edges are the values and the operations in the models, respectively. Fibring of two deductive systems is (...)
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  48. Automating Agential Reasoning: Proof-Calculi and Syntactic Decidability for STIT Logics.Tim Lyon & Kees van Berkel - 2019 - In M. Baldoni, M. Dastani, B. Liao, Y. Sakurai & R. Zalila Wenkstern (eds.), PRIMA 2019: Principles and Practice of Multi-Agent Systems. Springer. pp. 202-218.
    This work provides proof-search algorithms and automated counter-model extraction for a class of STIT logics. With this, we answer an open problem concerning syntactic decision procedures and cut-free calculi for STIT logics. A new class of cut-free complete labelled sequent calculi G3LdmL^m_n, for multi-agent STIT with at most n-many choices, is introduced. We refine the calculi G3LdmL^m_n through the use of propagation rules and demonstrate the admissibility of their structural rules, resulting in auxiliary calculi Ldm^m_nL. In the single-agent (...)
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  49. Routes to relevance: Philosophies of relevant logics.Shawn Standefer - 2024 - Philosophy Compass 19 (2):e12965.
    Relevant logics are a family of non-classical logics characterized by the behavior of their implication connectives. Unlike some other non-classical logics, such as intuitionistic logic, there are multiple philosophical views motivating relevant logics. Further, different views seem to motivate different logics. In this article, we survey five major views motivating the adoption of relevant logics: Use Criterion, sufficiency, meaning containment, theory construction, and truthmaking. We highlight the philosophical differences as well as the different (...) they support. We end with some questions for future research. (shrink)
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  50. Tableaux-based decision method for single-agent linear time synchronous temporal epistemic logics with interacting time and knowledge.Mai Ajspur & Valentin Goranko - 2013 - In Kamal Lodaya (ed.), Logic and Its Applications. Springer. pp. 80--96.
    Temporal epistemic logics are known, from results of Halpern and Vardi, to have a wide range of complexities of the satisfiability problem: from PSPACE, through non-elementary, to highly undecidable. These complexities depend on the choice of some key parameters specifying, inter alia, possible interactions between time and knowledge, such as synchrony and agents' abilities for learning and recall. In this work we develop practically implementable tableau-based decision procedures for deciding satisfiability in single-agent synchronous temporal-epistemic logics with interactions between (...)
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