Results for '2D semantics, modal rationalism, '

976 found
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  1. Modal Rationalism and Constructive Realism: Models and Their Modality.William Kallfelz - 2010
    I present a case for a rapprochement between aspects of rationalism and scientific realism, by way of a general framework employing modal epistemology and elements of 2-dimensional semantics (2DS). My overall argument strategy is meta-inductive: The bulk of this paper establishes a “base case,” i.e., a concretely constructive example by which I demonstrate this linkage. The base case or constructive example acts as the exemplar for generating, in a constructively ‘bottom-up’ fashion, a more generally rigorous case for rationalism-realism qua (...)
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  2. Two Notions of Metaphysical Modality.Antonella Mallozzi - 2018 - Synthese (Suppl 6):1-22.
    The paper explores the project of an ambitious modal epistemology that attempts to combine the a priori methods of Chalmers’ 2D semantics with Kripke’s modal metaphysics. I argue that such a project is not viable. The ambitious modal epistemology involves an inconsistent triad composed of (1) Modal Monism, (2) Two-Dimensionalism, and what I call (3) “Metaphysical Kripkeanism”. I present the three theses and show how only two of those can be true at a time. There is (...)
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  3. Mind, Modality, and Meaning: Toward a Rationalist Physicalism.Gabriel Oak Rabin - 2013 - Dissertation, University of California Los Angeles
    This dissertation contains four independent essays addressing a cluster of related topics in the philosophy of mind. Chapter 1: “Fundamentality Physicalism” argues that physicalism can usefully be conceived of as a thesis about fundamentality. The chapter explores a variety of other potential formulations of physicalism (particularly modal formulations), contrasts fundamentality physicalism with these theses, and offers reasons to prefer fundamentality physicalism over these rivals. Chapter 2:“Modal Rationalism and the Demonstrative Reply to the Master Argument Against Physicalism” introduces the (...)
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  4. Evolutionary Semantics of Anthropogenesis and Bioethics of Nbic-Technologies.Valentin Cheshko, Yulia Kosova & Valery Glazko - 2015 - Biogeosystem Technique 5 (3):256-266.
    The co-evolutionary concept of tri-modal stable evolutionary strategy (SESH) of Homo sapiens is developed. The concept based on the principle of evolutionary complementarity of anthropogenesis: value of evolutionary risk and evolutionary path of human evolution are defined by descriptive (evolutionary efficiency) and creative-teleological (evolutionary correctness) parameters simultaneously, that cannot be instrumental reduced to others ones. Resulting volume of both parameters define the vectors of human evolution by two gear mechanism ˗ genetic and cultural co-evolution and techno-humanitarian balance. Explanatory model (...)
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  5. EVOLUTIONARY RISK OF HIGH HUME TECHNOLOGIES. Article 3. EVOLUTIONARY SEMANTICS AND BIOETHICS.V. T. Cheshko, L. V. Ivanitskaya & V. I. Glazko - 2016 - Integrative Annthropology (1):21-27.
    The co-evolutionary concept of three-modal stable evolutionary strategy of Homo sapiens is developed. The concept based on the principle of evolutionary complementarity of anthropogenesis: value of evolutionary risk and evolutionary path of human evolution are defined by descriptive (evolutionary efficiency) and creative-teleological (evolutionary correctness) parameters simultaneously, that cannot be instrumental reduced to other ones. Resulting volume of both parameters define the vectors of biological, social, cultural and techno-rationalistic human evolution by two gear mechanism — genetic and cultural co-evolution and (...)
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  6. Essentialist modal rationalism.Philip Goff - 2019 - Synthese 198 (Suppl 8):2019-2027.
    It used to be thought that rational coherence and metaphysical possibility went hand in hand. Kripke and Putnam put a spanner in the works by proposing examples of propositions which seem to violate this principle. I will propose a nuanced form of modal rationalism consistent with the Kripke/putnam cases. The rough idea is that rational coherence entails possibility when you grasp the essential nature of what you’re conceiving of.
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  7. Empirically-Informed Modal Rationalism.Tuomas Tahko - 2016 - In Bob Fischer & Felipe Leon (eds.), Modal Epistemology After Rationalism. Cham: Springer. pp. 29-45.
    In this chapter, it is suggested that our epistemic access to metaphysical modality generally involves rationalist, a priori elements. However, these a priori elements are much more subtle than ‘traditional’ modal rationalism assumes. In fact, some might even question the ‘apriority’ of these elements, but I should stress that I consider a priori and a posteriori elements especially in our modal inquiry to be so deeply intertwined that it is not easy to tell them apart. Supposed metaphysically necessary (...)
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  8. Modal Rationalism and the Objection from the Insolvability of Modal Disagreement.Mihai Rusu - 2016 - Logos and Episteme 7 (2):171-183.
    The objection from the insolvability of principle-based modal disagreements appears to support the claim that there are no objective modal facts, or at the very least modal facts cannot be accounted for by modal rationalist theories. An idea that resurfaced fairly recently in the literature is that the use of ordinary empirical statements presupposes some prior grasp of modal notions. If this is correct, then the idea that we may have a total agreement concerning empirical (...)
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  9. A Hyperintensional Two-Dimensionalist Solution to the Access Problem.David Elohim - manuscript
    I argue that the two-dimensional hyperintensions of epistemic topic-sensitive two-dimensional truthmaker semantics provide a compelling solution to the access problem. -/- I countenance an abstraction principle for two-dimensional hyperintensions based on Voevodsky's Univalence Axiom and function type equivalence in Homotopy Type Theory. The truth of my first-order abstraction principle for two-dimensional hyperintensions is grounded in its being possibly recursively enumerable i.e. Turing computable and the Turing machine being physically implementable. I apply, further, modal rationalism in modal epistemology to (...)
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  10. On the Epistemology of Modal Rationalism: the Main Problems and Their Significance.Mihai Rusu - 2015 - Logos and Episteme 6 (1):75-94.
    In this paper, I discuss the main characteristics of the epistemology of modal rationalism by proceeding from the critical investigation of Peacocke’s theory of modality. I build on arguments by Crispin Wright and Sonia Roca-Royes, which are generalised and supplemented by further analysis, in order to show that principle-based accounts have little prospects of succeeding in their task of providing an integrated account of the metaphysics and the epistemology of modality. I argue that it is unlikely that we will (...)
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  11. Modal rationalism and logical empiricism: Some similarities.Stephen Yablo - manuscript
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  12. An Hegelian Solution to a Tangle of Problems Facing Brandom'S Analytic Pragmatism.Paul Redding - 2015 - British Journal for the History of Philosophy 23 (4):657-680.
    In his program of analytic pragmatism, Robert Brandom has presented a thoroughgoing reinterpretation of the place of analytic philosophy in the history of philosophy by linking his own non-representational ‘inferentialist’ approach to semantics to the rationalist – idealist tradition, and in particular, to Hegel. Brandom, however, has not been without his critics in regard to both his approach to semantics and his interpretation of Hegel. Here I single out four interlinked problematic areas facing Brandom's inferentialist semantics – his approach of (...)
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  13. Modal Epistemology and the Rationalist Renaissance.George Bealer - 2002 - In Tamar Gendler & John Hawthorne (eds.), Conceivability and Possibility. New York: Oxford University Press. pp. 71-125.
    The paper begins with a clarification of the notions of intuition (and, in particular, modal intuition), modal error, conceivability, metaphysical possibility, and epistemic possibility. It is argued that two-dimensionalism is the wrong framework for modal epistemology and that a certain nonreductionist approach to the theory of concepts and propositions is required instead. Finally, there is an examination of moderate rationalism’s impact on modal arguments in the philosophy of mind -- for example, Yablo’s disembodiment argument and Chalmers’s (...)
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  14. Gestalt Shifts in the Liar Or Why KT4M Is the Logic of Semantic Modalities.Susanne Bobzien - 2017 - In Bradley P. Armour-Garb (ed.), Reflections on the Liar. Oxford, England: Oxford University. pp. 71-113.
    ABSTRACT: This chapter offers a revenge-free solution to the liar paradox (at the centre of which is the notion of Gestalt shift) and presents a formal representation of truth in, or for, a natural language like English, which proposes to show both why -- and how -- truth is coherent and how it appears to be incoherent, while preserving classical logic and most principles that some philosophers have taken to be central to the concept of truth and our use of (...)
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  15. Modal logic S4 as a paraconsistent logic with a topological semantics.Marcelo E. Coniglio & Leonardo Prieto-Sanabria - 2017 - In Caleiro Carlos, Dionisio Francisco, Gouveia Paula, Mateus Paulo & Rasga João (eds.), Logic and Computation: Essays in Honour of Amilcar Sernadas. College Publications. pp. 171-196.
    In this paper the propositional logic LTop is introduced, as an extension of classical propositional logic by adding a paraconsistent negation. This logic has a very natural interpretation in terms of topological models. The logic LTop is nothing more than an alternative presentation of modal logic S4, but in the language of a paraconsistent logic. Moreover, LTop is a logic of formal inconsistency in which the consistency and inconsistency operators have a nice topological interpretation. This constitutes a new proof (...)
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  16. Update semantics for weak necessity modals.Alex Silk - 2016 - In Olivier Roy, Allard Tamminga & Malte Willer (eds.), Deontic Logic and Normative Systems. London, UK: College Publications. pp. 237-256.
    This paper develops an update semantics for weak necessity modals like ‘ought’ and ‘should’. I start with the basic approach to the weak/strong necessity modal distinction developed in Silk 2018: Strong necessity modals are given their familiar semantics of necessity, predicating the necessity of the prejacent of the actual world (evaluation world). The apparent “weakness” of weak necessity modals derives from their bracketing the assumption that the relevant worlds in which the prejacent is necessary (deontically, epistemically, etc.) need be (...)
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  17. Probabilistic semantics for epistemic modals: Normality assumptions, conditional epistemic spaces and the strength of must and might.Guillermo Del Pinal - 2021 - Linguistics and Philosophy 45 (4):985-1026.
    The epistemic modal auxiliaries must and might are vehicles for expressing the force with which a proposition follows from some body of evidence or information. Standard approaches model these operators using quantificational modal logic, but probabilistic approaches are becoming increasingly influential. According to a traditional view, must is a maximally strong epistemic operator and might is a bare possibility one. A competing account—popular amongst proponents of a probabilisitic turn—says that, given a body of evidence, must \ entails that (...)
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  18. A Modal Logic and Hyperintensional Semantics for Gödelian Intuition.David Elohim - manuscript
    This essay aims to provide a modal logic for rational intuition. Similarly to treatments of the property of knowledge in epistemic logic, I argue that rational intuition can be codified by a modal operator governed by the modal $\mu$-calculus. Via correspondence results between fixed point modal propositional logic and the bisimulation-invariant fragment of monadic second-order logic, a precise translation can then be provided between the notion of 'intuition-of', i.e., the cognitive phenomenal properties of thoughts, and the (...)
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  19. Semantic Rules, Modal Knowledge, and Analyticity.Antonella Mallozzi - 2023 - In Duško Prelević & Anand Vaidya (eds.), Epistemology of Modality and Philosophical Methodology. New York, NY: Routledge.
    According to Amie Thomasson's Modal Normativism (MN), knowledge of metaphysical modality is to be explained in terms of a speaker’s mastery of semantic rules, as opposed to one’s epistemic grasp of independent modal facts. In this chapter, I outline (MN)'s account of modal knowledge (§1) and argue that more than semantic mastery is needed for knowledge of metaphysical modality. Specifically (§2), in reasoning aimed at gaining such knowledge, a competent speaker needs to further deploy essentialist principles and (...)
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  20. Semantic expressivism for epistemic modals.Peter Hawke & Shane Steinert-Threlkeld - 2020 - Linguistics and Philosophy 44 (2):475-511.
    Expressivists about epistemic modals deny that ‘Jane might be late’ canonically serves to express the speaker’s acceptance of a certain propositional content. Instead, they hold that it expresses a lack of acceptance. Prominent expressivists embrace pragmatic expressivism: the doxastic property expressed by a declarative is not helpfully identified with that sentence’s compositional semantic value. Against this, we defend semantic expressivism about epistemic modals: the semantic value of a declarative from this domain is the property of doxastic attitudes it canonically serves (...)
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  21. Rationalism and Modal Knowledge.Stephen K. McLeod - 2009 - Critica 41 (122):29-42.
    The article argues against attempts to combine ontological realism about modality with the rejection of modal rationalism and it suggests that modal realism requires modal rationalism. /// El artículo da argumentos en contra de que se intente combinar el realismo ontológico sobre la modalidad con el rechazo del racionalismo modal y sugiere que el realismo modal exige racionalismo modal.
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  22. Modal normativism on semantic rules.Rohan Sud - 2024 - Inquiry: An Interdisciplinary Journal of Philosophy 67 (8):2361-2380.
    According to Amie Thomasson’s modal normativism, the function of modal discourse is to convey semantic rules. But what is a "semantic rule"? I raise three worries according to which there is no conception of a semantic rule that can serve the needs of a modal normativist. The first worry focuses on de re and a posteriori necessities. The second worry concerns Thomasson's inferential specification of the meaning of modal terms. The third worry asks about the normative (...)
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  23. Truthmaker Semantics for Natural Language: Attitude Verbs, Modals, and Intensional Transitive Verbs.Friederike Moltmann - 2020 - Theoretical Linguistics 3:159-200.
    This paper gives an outline of truthmaker semantics for natural language against the background of standard possible-worlds semantics. It develops a truthmaker semantics for attitude reports and deontic modals based on an ontology of attitudinal and modal objects and on a semantic function of clauses as predicates of such objects. It also présents new motivations for 'object-based truthmaker semantics' from intensional transitive verbs such as ‘need’, ‘look for’, ‘own’, and ‘buy’ and gives an outline of their semantics. This paper (...)
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  24. STABLE ADAPTIVE STRATEGY of HOMO SAPIENS and EVOLUTIONARY RISK of HIGH TECH. Transdisciplinary essay.Valentin Cheshko, Valery Glazko, Gleb Yu Kosovsky & Anna S. Peredyadenko (eds.) - 2015 - new publ.tech..
    The co-evolutionary concept of Three-modal stable evolutionary strategy of Homo sapiens is developed. The concept based on the principle of evolutionary complementarity of anthropogenesis: value of evolutionary risk and evolutionary path of human evolution are defined by descriptive (evolutionary efficiency) and creative-teleological (evolutionary correctly) parameters simultaneously, that cannot be instrumental reduced to others ones. Resulting volume of both parameters define the trends of biological, social, cultural and techno-rationalistic human evolution by two gear mechanism ˗ gene-cultural co-evolution and techno- humanitarian (...)
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  25. Contrastive Semantics for Deontic Modals.Justin Snedegar - 2013 - In Martijn Blaauw (ed.), Contrastivism in philosophy. New York: Routledge/Taylor & Francis Group.
    This paper argues for contrastivism about the deontic modals, 'ought', 'must', and 'may'. A simple contrastivist semantics that predicts the desired entailment relations among these modals is offered.
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  26. Modal logic with non-deterministic semantics: Part I—Propositional case.Marcelo E. Coniglio, Luis Fariñas del Cerro & Newton Peron - 2020 - Logic Journal of the IGPL 28 (3):281-315.
    Dugundji proved in 1940 that most parts of standard modal systems cannot be characterized by a single finite deterministic matrix. In the eighties, Ivlev proposed a semantics of four-valued non-deterministic matrices (which he called quasi-matrices), in order to characterize a hierarchy of weak modal logics without the necessitation rule. In a previous paper, we extended some systems of Ivlev’s hierarchy, also proposing weaker six-valued systems in which the (T) axiom was replaced by the deontic (D) axiom. In this (...)
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  27. Deontic Modality and the Semantics of Choice.Melissa Fusco - 2015 - Philosophers' Imprint 15.
    I propose a unified solution to two puzzles: Ross's puzzle and free choice permission. I begin with a pair of cases from the decision theory literature illustrating the phenomenon of act dependence, where what an agent ought to do depends on what she does. The notion of permissibility distilled from these cases forms the basis for my analysis of 'may' and 'ought'. This framework is then combined with a generalization of the classical semantics for disjunction — equivalent to Boolean disjunction (...)
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  28. An object‐based truthmaker semantics for modals.Friederike Moltmann - 2018 - Philosophical Issues 28 (1):255-288.
    Possible worlds semantics faces a range of difficulties for at least certain types of modals, especially deontic modals with their distinction between heavy and light permissions and obligations. This paper outlines a new semantics of modals that aims to overcome some of those difficulties. The semantics is based on an a novel ontology of modal objects, entities like obligations, permissions, needs, as well as epistemic states, abilities, and essences. Moreover, it is based on truthmaking, in the sense of Fine’s (...)
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  29. Semantics for Deontic Modals.J. L. Dowell - forthcoming - In Ernest Lepore & Una Stojnic (eds.), Oxford Handbook of Contemporary Philosophy of Language. Oxford University Press.
    Over the last fifteen years, linguists and philosophers of language have reexamined the canonical, Kratzerian semantics for modal expressions, with special attention paid to their epistemic and deontic uses. This article is an overview of the literature on deontic modal expressions. Section 1 provides an overview of the canonical semantics, noting some of its main advantages. Section 2 introduces a set of desiderata that have achieved the status of fixed points in the debates about whether the canonical semantics (...)
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  30. 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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  31. Anthropocene: The philosophy of Biotechnology.Valentin Cheshko, Glazko Valery & Ivanitskaya Lida - 2018 - Moscow, Russia: Kurs INFRA-M.
    The theory of evolution of complex, including the humans system and algorithm for its constructing are a synthesis of evolutionary epistemology, philosophical anthropology and concrete scientific empirical basis in modern science,. In other words, natural philosophy is regaining the status bar element theoretical science in the era of technology-driven evolution. The co-evolutionary concept of 3-modal stable evolutionary strategy of Homo sapiens is developed. The concept based on the principle of evolutionary complementarity of anthropogenesis: value of evolutionary risk and evolutionary (...)
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  32. Cognitive Products and the Semantics of Attitude Verbs and Deontic Modals.Friederike Moltmann - 2017 - In Friederike Moltmann & Mark Textor (eds.), Act-Based Conceptions of Propositional Content: Contemporary and Historical Perspectives. New York: Oxford University Press. pp. 254-289.
    This paper outlines a semantic account of attitude reports and deontic modals based on cognitive and illocutionary products, mental states, and modal products, as opposed to the notion of an abstract proposition or a cognitive act.
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  33. Base-extension Semantics for Modal Logic.Eckhardt Timo & Pym David - forthcoming - Logic Journal of the IGPL.
    In proof-theoretic semantics, meaning is based on inference. It may be seen as the mathematical expression of the inferentialist interpretation of logic. Much recent work has focused on base-extension semantics, in which the validity of formulas is given by an inductive definition generated by provability in a ‘base’ of atomic rules. Base-extension semantics for classical and intuitionistic propositional logic have been explored by several authors. In this paper, we develop base-extension semantics for the classical propositional modal systems K, KT (...)
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  34. Relational Semantics and Domain Semantics for Epistemic Modals.Dilip Ninan - 2018 - Journal of Philosophical Logic 47 (1):1-16.
    The standard account of modal expressions in natural language analyzes them as quantifiers over a set of possible worlds determined by the evaluation world and an accessibility relation. A number of authors have recently argued for an alternative account according to which modals are analyzed as quantifying over a domain of possible worlds that is specified directly in the points of evaluation. But the new approach only handles the data motivating it if it is supplemented with a non-standard account (...)
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  35. Proof-Theoretic Semantics, a Problem with Negation and Prospects for Modality.Nils Kürbis - 2015 - Journal of Philosophical Logic 44 (6):713-727.
    This paper discusses proof-theoretic semantics, the project of specifying the meanings of the logical constants in terms of rules of inference governing them. I concentrate on Michael Dummett’s and Dag Prawitz’ philosophical motivations and give precise characterisations of the crucial notions of harmony and stability, placed in the context of proving normalisation results in systems of natural deduction. I point out a problem for defining the meaning of negation in this framework and prospects for an account of the meanings of (...)
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  36. Modal Truth : Integrating the Metaphysics, Epistemology, and Semantics of the Necessary and the Possible.Lars Enden - 2016 - Dissertation, University of Washington
    The integration challenge for modality states that metaphysical theories of modality tend to fail in one of two ways: either they render the meanings of modal sentences mysterious, or they render modal knowledge mysterious. I argue that there are specific semantic and epistemic constraints on metaphysics implied by the integration challenge and that a plausible metaphysical theory of modality will satisfy both of them. I further argue that no popular metaphysical theory of modality simultaneously satisfies both of the (...)
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  37. Swap structures semantics for Ivlev-like modal logics.Marcelo E. Coniglio & Ana Claudia Golzio - 2019 - Soft Computing 23 (7):2243-2254.
    In 1988, J. Ivlev proposed some (non-normal) modal systems which are semantically characterized by four-valued non-deterministic matrices in the sense of A. Avron and I. Lev. Swap structures are multialgebras (a.k.a. hyperalgebras) of a special kind, which were introduced in 2016 by W. Carnielli and M. Coniglio in order to give a non-deterministic semantical account for several paraconsistent logics known as logics of formal inconsistency, which are not algebraizable by means of the standard techniques. Each swap structure induces naturally (...)
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  38. Counterfactually robust inferences, modally ruled out inferences, and semantic holism.Pietro Salis - 2016 - AL-Mukhatabat (16):111-35.
    It is often argued that inferential role semantics (IRS) entails semantic holism as long as theorists fail to answer the question about which inferences, among the many, are meaning-constitutive. Since analyticity, as truth in virtue of meaning, is a widely dismissed notion in indicating which inferences determine meaning, it seems that holism follows. Semantic holism is often understood as facing problems with the stability of content and many usual explanations of communication. Thus, we should choose between giving up IRS, to (...)
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  39. Modal Inertness and the Zombie Argument.Tristan Grøtvedt Haze - 2023 - Res Philosophica 100 (3):413-421.
    This article proposes a way of blocking the zombie argument against materialism. The central idea—which can be motivated in various ways, but which I will motivate by drawing on recent work by Wolfgang Schwarz—is that sentences reporting conscious experience are modally inert, roughly in the sense that adding them to a description of a metaphysically possible scenario always results in a description of a metaphysically possible scenario. This is notable in that it leads to a way of blocking the zombie (...)
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  40. A Semantic Constraint on the Logic of Modal Conditionals.Zsófia Zvolenszky - 2006 - Proceedings of the Ninth Symposium on Logic and Language (LoLa 9).
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  41. Epistemic Modals.Seth Yalcin - 2007 - Mind 116 (464):983-1026.
    Epistemic modal operators give rise to something very like, but also very unlike, Moore's paradox. I set out the puzzling phenomena, explain why a standard relational semantics for these operators cannot handle them, and recommend an alternative semantics. A pragmatics appropriate to the semantics is developed and interactions between the semantics, the pragmatics, and the definition of consequence are investigated. The semantics is then extended to probability operators. Some problems and prospects for probabilistic representations of content and context are (...)
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  42. Possible World Semantics without Modal Logic.Joram Soch - manuscript
    Possible worlds are commonly seen as an interpretation of modal operators such as "possible" and "necessary". Here, we develop possible world semantics (PWS) which can be expressed in basic set theory and first-order logic, thus offering a reductionist account of modality. Specifically, worlds are understood as complete sets of statements and possible worlds are sets whose statements are consistent with a set of conceptual laws. We introduce the construction calculus (CC), a set of axioms and rules for truth, possibility, (...)
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  43. Rationalism and Necessitarianism.Martin Lin - 2012 - Noûs 46 (3):418-448.
    Metaphysical rationalism, the doctrine which affirms the Principle of Sufficient Reason (the PSR), is out of favor today. The best argument against it is that it appears to lead to necessitarianism, the claim that all truths are necessarily true. Whatever the intuitive appeal of the PSR, the intuitive appeal of the claim that things could have been otherwise is greater. This problem did not go unnoticed by the great metaphysical rationalists Spinoza and Leibniz. Spinoza’s response was to embrace necessitarianism. Leibniz’s (...)
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  44. Philosophical Insights and Modal Cognition.Mikkel Gerken - 2015 - In Eugen Fischer John Collins (ed.), Experimental Philosophy, Rationalism, and Naturalism: Rethinking Philosophical Method. Routledge. pp. 110-131.
    Modal rationalists uphold a strong constitutive relationship between a priori cognition and modal cognition. Since both a priori cognition and modal cognition have been taken to be characteristic of philosophical insights, I will critically assess an ambitious modal rationalism and an associated ambitious methodological rationalism. I begin by examining Kripkean cases of the necessary a posteriori in order to characterize the ambitious modal rationalism that will be the focus of my criticism. I then argue that (...)
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  45. Logical consequence in modal logic II: Some semantic systems for S4.George Weaver - 1974 - Notre Dame Journal of Formal Logic 15:370.
    ABSTRACT: This 1974 paper builds on our 1969 paper (Corcoran-Weaver [2]). Here we present three (modal, sentential) logics which may be thought of as partial systematizations of the semantic and deductive properties of a sentence operator which expresses certain kinds of necessity. The logical truths [sc. tautologies] of these three logics coincide with one another and with those of standard formalizations of Lewis's S5. These logics, when regarded as logistic systems (cf. Corcoran [1], p. 154), are seen to be (...)
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  46. Vagueness & Modality—An Ecumenical Approach.Jon Erling Litland & Juhani Yli-Vakkuri - 2016 - Philosophical Perspectives 30 (1):229-269.
    How does vagueness interact with metaphysical modality and with restrictions of it, such as nomological modality? In particular, how do definiteness, necessity (understood as restricted in some way or not), and actuality interact? This paper proposes a model-theoretic framework for investigating the logic and semantics of that interaction. The framework is put forward in an ecumenical spirit: it is intended to be applicable to all theories of vagueness that express vagueness using a definiteness (or: determinacy) operator. We will show how (...)
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  47. (1 other version)Algorithmic correspondence and completeness in modal logic. IV. Semantic extensions of SQEMA.Willem Conradie & Valentin Goranko - 2008 - Journal of Applied Non-Classical Logics 18 (2):175-211.
    In a previous work we introduced the algorithm \SQEMA\ for computing first-order equivalents and proving canonicity of modal formulae, and thus established a very general correspondence and canonical completeness result. \SQEMA\ is based on transformation rules, the most important of which employs a modal version of a result by Ackermann that enables elimination of an existentially quantified predicate variable in a formula, provided a certain negative polarity condition on that variable is satisfied. In this paper we develop several (...)
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  48. Polynomial ring calculus for modal logics: A new semantics and proof method for modalities: Polynomial ring calculus for modal logics.Juan C. Agudelo - 2011 - Review of Symbolic Logic 4 (1):150-170.
    A new proof style adequate for modal logics is defined from the polynomial ring calculus. The new semantics not only expresses truth conditions of modal formulas by means of polynomials, but also permits to perform deductions through polynomial handling. This paper also investigates relationships among the PRC here defined, the algebraic semantics for modal logics, equational logics, the Dijkstra???Scholten equational-proof style, and rewriting systems. The method proposed is throughly exemplified for S 5, and can be easily extended (...)
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  49. Necessity Modals, Disjunctions, and Collectivity.Richard Jefferson Booth - 2022 - Proceedings of Sinn Und Bedeutung 26:187-205.
    Upward monotonic semantics for necessity modals give rise to Ross’s Puzzle: they predict that □φ entails □(φ ∨ ψ), but common intuitions about arguments of this form suggest they are invalid. It is widely assumed that the intuitive judgments involved in Ross’s Puzzle can be explained in terms of the licensing of ‘Diversity’ inferences: from □(φ ∨ ψ), interpreters infer that the truth of each disjunct (φ, ψ) is compatible with the relevant set of worlds. I introduce two pieces of (...)
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  50. Outline of an Object-Based Truthmaker Semantics for Modals and Propositional Attitudes.Friederike Moltmann - 2025 - In Peter van Elswyk, Dirk Kindermann, Cameron Domenico Kirk-Giannini & Andy Egan (eds.), Unstructured Content. Oxford University Press.
    Against the background of standard possible-worlds semantics, this paper outlines a truthmaker approach to the semantics of attitude reports and modal sentences based on an ontology of attitudinal and modal objects.
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