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Logic, semantics, metamathematics

Oxford,: Clarendon Press. Edited by John Corcoran & J. H. Woodger (1956)

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  1. Logic and Metalogic: a Historical Sketch.Jan Woleński - 2024 - Studia Humana 13 (1):39-44.
    This paper briefly discusses the relations between logic and metalogic in history. Metalogic is understood as a reflection on logic in its various senses, particularly sensu stricto (formal, mathematical) and sensu largo (formal logic plus semantic plus methodology of science). It is shown that metalogic in its contemporary understanding arose after mathematical logic had become a mature discipline. Special passage is devoted to metalogic in Poland. The last part of the paper discussed so-called logocentric predicament.
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  • Las Sombras Ciegas de Narciso - un estudio psicosocial sobre el imaginario colectivo.Roberto Thomas Arruda - 2023 - São Paulo: Terra à Vista.
    Este trabajo abordará cuestiones esenciales sobre el imaginario colectivo y sus relaciones con la realidad y la verdad. Primero, debemos abordar este tema dentro de un marco conceptual, seguido del correspondiente análisis fáctico de realidades conductuales demostrables. Adoptaremos no solo la metodología, sino sobre todo los principios y proposiciones de la filosofía analítica, que seguramente quedarán patentes a lo largo del estudio y podrán identificarse por las características descritas por Pérez. : Rabossi (1975) sostiene que la filosofía analítica puede identificarse (...)
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  • Hope, Trust, and Forgiveness: Essays in Finitude.John T. Lysaker - 2023 - London: University of Chicago Press.
    A new ethics of human finitude developed through three experimental essays. As ethical beings, we strive for lives that are meaningful and praiseworthy. But we are finite. We do not know, so we hope. We need, so we trust. We err, so we forgive. In this book, philosopher John T. Lysaker draws our attention to the ways in which these three capacities—hope, trust, and forgiveness—contend with human limits. Each experience is vital to human flourishing, yet each also poses significant personal (...)
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  • Слепые тени Нарцисса.Roberto Thomas Arruda - 2023 - São Paulo: Terra à Vista.
    В данной работе рассматриваются важнейшие вопросы о коллективном воображаемом и его отношениях с реальностью и истиной. Сначала мы рассмотрим эту тему в концептуальных рамках, а затем проведем соответствующий фактологический анализ наглядных поведенческих реалий. Мы будем опираться не только на методологию, но и, главным образом, на постулаты и положения аналитической философии, которые, безусловно, будут проявляться на протяжении всего исследования и могут быть идентифицированы по признакам, описанным Пересом : Рабосси (1975) отстаивает идею, что аналитическая философия может быть идентифицирована путем рассмотрения некоторых семейных (...)
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  • References.John Bengson & Marc A. Moffett - 2011 - In John Bengson & Marc A. Moffett (eds.), Knowing How: Essays on Knowledge, Mind, and Action. Oxford, England: Oxford University Press USA. pp. 361-386.
    This compilation of references includes all references for the knowledge-how chapters included in Bengson & Moffett's edited volume. The volume and the compilation of references may serve as a good starting point for people who are unfamiliar with the philosophical literature on knowledge-how.
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  • Die blinden Schatten von Narcissus.Roberto Arruda (ed.) - 2023 - Sao Paulo: Terra à Vista.
    Diese Arbeit wird wesentliche Fragen über das kollektive Imaginär und seine Beziehungen zur Realität und Wahrheit ansprechen. Zunächst sollten wir dieses Thema in einem konzeptionellen Rahmen ansprechen, gefolgt von der entsprechenden Tatsachenanalyse demonstrierbarer Verhaltensrealitäten. Wir werden nicht nur die Methodik, sondern vor allem die Prinzipien und Sätze der analytischen Philosophie annehmen. Die vorliegende Arbeit beruht analytischer Reflexion. Wir werden so umfassend und tief wie möglich spekulieren und die Ergebnisse unserer Gedanken ausdrücken. Trotz des multidisziplinären Charakters des Themas und der methodischen (...)
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  • Essays on the Logical.Nijaz Ibrulj - 2022 - Sarajevo: Academia Analitica.
    Already in ancient philosophy, there was a transition from the implicit and hidden action of the Logical ( lógos) in nature ( phýsis) to the scientific and explicit expression of the logical structures of thought, action, the world and language. Heraclitus' heno-logic with Logos as hidden implicit principle of homologization of opposites ( tà enantía) in nature differs from Parmenides' paraconsistent logic developed in a hypothetical hemidyalectics given in the formula ''All is One'' ( hén pánta eînai). Plato's concept of (...)
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  • Reasoning in attitudes.Franz Dietrich & Antonios Staras - 2022 - Synthese 200 (6):1–31.
    People reason not only in beliefs, but also in intentions, preferences, and other attitudes. They form preferences from existing preferences, or intentions from existing beliefs and intentions, and so on. This often involves choosing between rival conclusions. Building on Broome (Rationality through reasoning, Hoboken, Wiley. https://doi.org/10.1002/9781118609088, 2013) and Dietrich et al. (J Philos 116:585–614. https://doi.org/10.5840/jphil20191161138, 2019), we present a philosophical and formal analysis of reasoning in attitudes, with or without facing choices in reasoning. We give different accounts of choosing, in (...)
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  • Abstract rationality: the ‘logical’ structure of attitudes.Franz Dietrich, Antonios Staras & Robert Sugden - 2024 - Economics and Philosophy 40 (1):12-41.
    We present an abstract model of rationality that focuses on structural properties of attitudes. Rationality requires coherence between your attitudes, such as your beliefs, values, and intentions. We define three 'logical' conditions on attitudes: consistency, completeness, and closedness. They parallel the familiar logical conditions on beliefs, but contrast with standard rationality conditions like preference transitivity. We establish a formal correspondence between our logical conditions and standard rationality conditions. Addressing John Broome's programme 'rationality through reasoning', we formally characterize how you can (...)
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  • FILOZOFIJA LOGIKE.Nijaz Ibrulj - 1999 - Sarajevo: Sarajevo Publishing.
    Aktivnost integracije i distribucije prožima cjelokupni čovjekov jezik, mišljenje i djelovanje; njegov praktični i teorijski um, uz pomoć malog broja operacija (konjunkcija, negacija, kvantifikacija) koje čine logičke konstante, sabire i razdjeljuje varijabilne elemente jezika, svijeta i mišljenja u beskonačne konačnosti (skupovi, klase, relacije, atributi) u kojima se koreliraju realne stimulacije i virtualne simulacije, čijom se konstrukcijom, rekonstrukcijom i dekonstrukcijom formiraju i transformiraju "dobro uređene formule" jezičko-gramatičkih i mentalno-psiholoških struktura koje se u svijetu saznanja imenuju pojmom svijeta, pojmom jezika, pojmom duha. (...)
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  • STOLJEĆE REARANŽIRANJA. ESEJI O IDENTITETU, ZNANJU I DRUŠTVU.Nijaz Ibrulj - 2005 - Sarajevo: Filozofsko društvo Theoria.
    Eseji su nastali u 2003. i 2004. godini kao dio realizacije mojih istraživanja holizma identiteta i socijalne triangulacije (identitet - znanje - društvena ontologija) tokom rada na istraživačkim projektima Znanstveno-raziskovalneg središča Republike Slovenije, Koper. Istovremeno je rad na projektima u Sarajevu, u sklopu međunarodnih i domaćih aktivnosti koje je organiziralo Filozofsko društvo "Theoria ", bio poticajan za promišljanje nekih značajnih pitanja koja se odnose na rearanžiranje ambijenta životnog svijeta modernog čovjeka.
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  • Pluralism and Normativity in Truth and Logic.Gila Sher - 2020 - American Philosophical Quarterly 57 (4):337-350.
    In this paper I investigate how differences in approach to truth and logic (in particular, a deflationist vs. a substantivist approach to these fields) affect philosophers’ views concerning pluralism and normativity in these fields. My perspective on truth and logic is largely epistemic, focusing on the role of truth in knowledge (rather than on the use of the words “true” and “truth” in natural language), and my reference group includes Carnap (1934), Harman (1986), Horwich (1990), Wright (1992), Beall and Restall (...)
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  • Prepričanje v umno prakso, epistemsko družbenost in epistemsko kulturo.Nijaz Ibrulj - 2019 - In Olga Markič & Maja Malec (eds.), Filozofska pot Andreja Uleta. Znanstvena založba Filozofske fakultete v Ljubljani. pp. 239-251.
    V besedilu, ki je posvečeno slovenskemu filozofu in logiku, univerzitetnemu profesorju in piscu znanstvenih del Andreju Uletu, izkazujem spoštovanje ob njegovem visokem jubileju in priznanje za njegov ogromni prispevek h komunikacijski skupnosti filozofov in znanstvenikov v evropskem okolju ter za uspešno dolgoletno sodelovanje pri razvoju filozofske in znanstvene misli v Bosni in Hercegovini. Na eni strani navajam ključna vprašanja sodobne filozofije in logike, sodobne družbe in tehnologije, ki so zaznamovala delo Andreja Uleta, po drugi pa v članek umeščam sekvence iz (...)
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  • The man who defined truth and the lvov crisis.Miroslava Trajkovski - 2021 - In Nenad Cekić (ed.), Етика и истина у доба кризе. Belgrade: University of Belgrade - Faculty of Philosophy. pp. 97-110.
    In the period after the First World War when the various national-ideological “truths” that led to it were not well resolved which resulted in the Second World War, one of the greatest world crises occurs. In those turbulent times, one philosopher renounces his national identity (changes his religion and name), wanting not to save himself from an evil world that is emerging but to join the creation of a completely new world – the world of modern logic. This man is (...)
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  • Етика и истина у доба кризе.Nenad Cekić (ed.) - 2021 - Belgrade: University of Belgrade - Faculty of Philosophy.
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  • Logical Identity: A Holistic Approach.Nijaz Ibrulj - 2021 - The Logical Foresight 1 (1):109-128.
    It is my intention in this article to present some consequences of Quine’s thesis on the dependence of ontology on ideology (Quine, 1980), seeking an argument for my own thesis on the dependence (theoretical) existence of entities on identity type or ontology dependence on logic and language.If Quine's thesis is correct, then we can expand the resolution of this conclusion and say that ontology depends on the identity or on identification of the "identity criteria for conceptual schemes" (Davidson, 2001) which (...)
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  • Selective Base Revisions.Marco Garapa - 2021 - Journal of Philosophical Logic 51 (1):1-26.
    Belief Revision addresses the problem of rationally incorporating pieces of new information into an agent’s belief state. In the AGM paradigm, the most used framework in Belief Revision, primacy is given to the new information, which is fully incorporated into the agent’s belief state. However, in real situations, one may want to reject the new information or only accept a part of it. A constructive model called Selective Revision was proposed to meet this need but, as in the AGM framework, (...)
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  • Hilbert izlencesinin izinde adcılık adına yeni bulgular.Besim Karakadılar - manuscript
    Hilbert izlencesinin kanıt kuramsal amacı tarihsel gelişimi içinde özetlendikten sonra arka plandaki model-kuramsal motivasyonu belirtilmektedir. Hilbert'in nihai hedefinin matematiğin temellerine ilişkin tüm epistemolojik ve ontolojik varsayımlardan arındırılmış bir matematik kuramı geliştirmek olduğu savunulmaktadır. Yakın geçmişte mantıktaki bazı gelişmelerin Hilbert izlencesinin yalnızca adcı varsayımlar temelinde sürdürülebileceğine ilişkin yeni bir bakış açısı sağladığı öne sürülmektedir.
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  • Wittgenstein'ın ölümsüz dünyasında kim öle, kim kala?Besim Karakadılar - manuscript
    Wittgenstein’ın bir yaşam olayı olarak görmediği ölümün ne anlama geldiğine ilişkin düşüncesi açımlanıyor. Wittgenstein’ın düşüncesinin varlık-bilimsel dayanağı olan tek bir dünyanın var sayılması birden çok dünya varsayılan bir yaklaşımla karşılaştırılıyor.
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  • Relative Interpretations and Substitutional Definitions of Logical Truth and Consequence.Mirko Engler - 2020 - In Martin Blicha & Igor Sedlar (eds.), The Logica Yearbook 2019. College Publications. pp. 33 - 47.
    This paper proposes substitutional definitions of logical truth and consequence in terms of relative interpretations that are extensionally equivalent to the model-theoretic definitions for any relational first-order language. Our philosophical motivation to consider substitutional definitions is based on the hope to simplify the meta-theory of logical consequence. We discuss to what extent our definitions can contribute to that.
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  • Is ‘Knowing that P’ Identical with ‘Knowing that “P” Is True’?Changsheng Lai - 2021 - Philosophia 48 (3):1075-1092.
    It is epistemological orthodoxy that the object of propositional knowledge is the truth of propositions. This traditional view is based on what I call the ‘KT-schema’, viz, ‘S knows that p, iff, S knows that “p” is true’. The purpose of this paper is to reject the KT-schema. By showing the paradoxical upshot of the KT-schema and providing counterexamples to the KT-schema, this paper argues that ‘knowing that p’ is more than ‘knowing that “p” is true’. Consequently, we shall rethink (...)
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  • The Blind Shadows of Narcissus - a psychosocial study on collective imaginary. (2nd edition).Roberto Thomas Arruda (ed.) - 2020 - Terra à vista.
    In this work, we will approach some essential questions about the collective imaginary and their relations with reality and truth. We should face this subject in a conceptual framework, followed by the corresponding factual analysis of demonstrable behavioral realities. We will adopt not only the methodology, but mostly the tenets and propositions of the analytic philosophy, which certainly will be apparent throughout the study, and may be identified by the features described by Perez : -/- Rabossi (1975) defends the idea (...)
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  • The Many and the One: A Philosophical Study of Plural Logic.Salvatore Florio & Øystein Linnebo - 2021 - Oxford, England: Oxford University Press.
    Plural expressions found in natural languages allow us to talk about many objects simultaneously. Plural logic — a logical system that takes plurals at face value — has seen a surge of interest in recent years. This book explores its broader significance for philosophy, logic, and linguistics. What can plural logic do for us? Are the bold claims made on its behalf correct? After introducing plural logic and its main applications, the book provides a systematic analysis of the relation between (...)
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  • Semiotic Anthropology in Poland.Marcin Brocki - 2007 - Studia Semiotyczne—English Supplement 26:168-183.
    In British and American anthropological literature, the ethnology of Central and Eastern European countries has shared in the plight of descriptions of this part of the world: it was seen as exotic, foreign, remote, a backwater, focused on sideline problems and situated on the periphery of this field of science. This state of affairs has been the case since at least the beginning of the Cold War as the descriptions of the national characters of Eastern Bloc communities, drafted by American (...)
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  • Qui peut sauver la morale? Essai de métaéthique.François Jaquet & Hichem Naar - 2019 - Paris: Ithaque. Edited by Hichem Naar.
    Vous pensez peut-être que la peine de mort est injuste ? Ou que l’avortement est moralement acceptable ? Se pourrait-il alors que vous vous trompiez ? C’est en tout cas l’avis des théoriciens de l’erreur. D’après ces philosophes, tous les jugements moraux sont faux parce qu’ils présupposent à tort l’existence de faits moraux à la fois objectifs et non naturels. Organisé autour de ce défi nihiliste, le présent ouvrage aborde les principales théories métaéthiques comme autant de tentatives, plus ou moins (...)
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  • (1 other version)Logical pluralism, indeterminacy and the normativity of logic.Filippo Ferrari & Sebastiano Moruzzi - 2020 - Inquiry: An Interdisciplinary Journal of Philosophy 63 (3-4):323-346.
    According to the form of logical pluralism elaborated by Beall and Restall there is more than one relation of logical consequence. Since they take the relation of logical consequence to reside at the very heart of a logical system, different relations of logical consequence yield different logics. In this paper, we are especially interested in understanding what are the consequences of endorsing Beall and Restall’s version of logical pluralism vis-à-vis the normative guidance that logic is taken to provide to reasoners. (...)
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  • (1 other version)The synthetic thesis of truth helps mitigate the reproducibility crisis and is an inspiration for predictive ecology.Luis Marone, Javier Lopez de Casenave & Rafael González del Solar - 2019 - Humanities Journal of Valparaiso 14:363-376.
    There are currently serious concerns that published scientific findings often fail to be reproducible, and that some solutions may be gleaned by attending the several methodological and sociological recommendations that could be found in the literature. However, researchers would also arrive at some answers by considering the advice of the philosophy of science, particularly semantics, about theses on truth related to scientific realism. Sometimes scientists understand the correspondence thesis of truth as asserting that the next unique empirical confirmation of a (...)
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  • Deep Fried Logic.Shay Allen Logan - 2020 - Erkenntnis 87 (1):257-286.
    There is a natural story about what logic is that sees it as tied up with two operations: a ‘throw things into a bag’ operation and a ‘closure’ operation. In a pair of recent papers, Jc Beall has fleshed out the account of logic this leaves us with in more detail. Using Beall’s exposition as a guide, this paper points out some problems with taking the second operation to be closure in the usual sense. After pointing out these problems, I (...)
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  • (1 other version)Mario Bunge’s systemic thesis of truth: implications for research practice and the “reproducibility crisis”.Luis Marone, Javier Lopez de Casenave & Rafael González del Solar - 2019 - Humanities Journal of Valparaiso 14:363-376.
    There are currently serious concerns that published scientific findings often fail to be reproducible, and that some solutions may be gleaned by attending the several methodological and sociological recommendations that could be found in the literature. However, researchers would also arrive at some answers by considering the advice of the philosophy of science, particularly semantics, about theses on truth related to scientific realism. Sometimes scientists understand the correspondence thesis of truth as asserting that the next unique empirical confirmation of a (...)
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  • Generalized Revenge.Julien Murzi & Lorenzo Rossi - 2019 - Australasian Journal of Philosophy 98 (1):153-177.
    Since Saul Kripke’s influential work in the 1970s, the revisionary approach to semantic paradox—the idea that semantic paradoxes must be solved by weakening classical logic—has been increasingly popular. In this paper, we present a new revenge argument to the effect that the main revisionary approaches breed new paradoxes that they are unable to block.
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  • Enciclopédia de Termos Lógico-Filosóficos.João Miguel Biscaia Branquinho, Desidério Murcho & Nelson Gonçalves Gomes (eds.) - 2006 - São Paulo, SP, Brasil: Martins Fontes.
    Esta enciclopédia abrange, de uma forma introdutória mas desejavelmente rigorosa, uma diversidade de conceitos, temas, problemas, argumentos e teorias localizados numa área relativamente recente de estudos, os quais tem sido habitual qualificar como «estudos lógico-filosóficos». De uma forma apropriadamente genérica, e apesar de o território teórico abrangido ser extenso e de contornos por vezes difusos, podemos dizer que na área se investiga um conjunto de questões fundamentais acerca da natureza da linguagem, da mente, da cognição e do raciocínio humanos, bem (...)
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  • Kazimierz Ajdukiewicz on transcendental idealism from a semantic point of view.Arkadiusz Chrudzimski - 2016 - Studies in East European Thought 68 (1):63-74.
    In a paper entitled A Semantical Version of the Problem of Transcendental Idealism, Kazimierz Ajdukiewicz gives a very impressive analysis of transcendental idealism. He approaches the matter using the tools of formal semantics developed by Alfred Tarski and draws a rather surprising conclusion. According to Ajdukiewicz, the idealist position, claiming that the world around us is ontologically dependent on our cognitive activity can be shown to be implausible on purely logical grounds. It is worth taking a closer look at this (...)
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  • Comments on Donald Davidson's Paper “Radical Interpretation”.Erik Stenius - 1976 - Dialectica 30 (1):35-60.
    Formulating my comments I have had difficulties of three kinds. First, I am not at all sure that I have understood Davidson correctly at every point. Secondly, not being aware of how far I may take for granted that Davidson and I share what may be called the same background ...
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  • Sentential Truth, Denominalization, and the Liar: Aspects of the Modest Account of Truth.Douglas Patterson - 2005 - Dialogue 44 (3):527-537.
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  • Tarski’s 1944 Polemical Remarks and Naess’ “Experimental Philosophy”.Robert Barnard & Joseph Ulatowski - 2016 - Erkenntnis 81 (3):457-477.
    Many of Tarski’s better known papers are either about or include lengthy discussions of how to properly define various concepts: truth, logical consequence, semantic concepts, or definability. In general, these papers identify two primary conditions for successful definitions: formal correctness and material adequacy. Material adequacy requires that the concept expressed by the formal definition capture the intuitive content of truth. Our primary interest in this paper is to better understand Tarski’s thinking about material adequacy, and whether components of his view (...)
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  • Field’s logic of truth.Vann McGee - 2010 - Philosophical Studies 147 (3):421-432.
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  • Truth and Contradiction.Graham Priest - 2000 - Philosophical Quarterly 50 (200):305-319.
    I argue that there is nothing about truth as such that prevents contradictions from being true. I argue this by considering the main standard accounts of truth, and showing that they are quite compatible with the existence of true contradictions. Indeed, in many cases, they are actually friendly to the idea.
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  • On tarski’s assumptions.Jaakko Hintikka - 2005 - Synthese 142 (3):353-369.
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  • On the Matter of Essential Richness.Greg Ray - 2005 - Journal of Philosophical Logic 34 (4):433-457.
    Alfred Tarski (1944) wrote that "the condition of the 'essential richness' of the metalanguage proves to be, not only necessary, but also sufficient for the construction of a satisfactory definition of truth." But it has remained unclear what Tarski meant by an 'essentially richer' metalanguage. Moreover, DeVidi and Solomon (1999) have argued in this Journal that there is nothing that Tarski could have meant by that phrase which would make his pronouncement true. We develop an answer to the historical question (...)
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  • Conditionals in Theories of Truth.Anil Gupta & Shawn Standefer - 2017 - Journal of Philosophical Logic 46 (1):27-63.
    We argue that distinct conditionals—conditionals that are governed by different logics—are needed to formalize the rules of Truth Introduction and Truth Elimination. We show that revision theory, when enriched with the new conditionals, yields an attractive theory of truth. We go on to compare this theory with one recently proposed by Hartry Field.
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  • Logic of Implicit and Explicit Justifiers.Alessandro Giordani - 2016 - In L. Felline, A. Ledda, F. Paoli & E. Rossanese (eds.), New Directions in Logic and the Philosophy of Science. College Publications. pp. 119-131.
    The aim of this paper is to provide an intuitive semantics for systems of justification logic which allows us to cope with the distinction between implicit and explicit justifiers. The paper is subdivided into three sections. In the first one, the distinction between implicit and explicit justifiers is presented and connected with a proof-theoretic distinction between two ways of interpreting sequences of sentences; that is, as sequences of axioms in a certain set and as sequences proofs constructed from that set (...)
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  • (1 other version)A Relationship Between Ordinary Functional Completeness and a Generalisation of the Concept.Alan Rose - 1986 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 32 (19-24):323-330.
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  • Against the Russellian open future.Anders J. Schoubye & Brian Rabern - 2017 - Mind 126 (504): 1217–1237.
    Todd (2016) proposes an analysis of future-directed sentences, in particular sentences of the form 'will(φ)', that is based on the classic Russellian analysis of definite descriptions. Todd's analysis is supposed to vindicate the claim that the future is metaphysically open while retaining a simple Ockhamist semantics of future contingents and the principles of classical logic, i.e. bivalence and the law of excluded middle. Consequently, an open futurist can straightforwardly retain classical logic without appeal to supervaluations, determinacy operators, or any further (...)
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  • Frege’s ‘On the Foundations of Geometry’ and Axiomatic Metatheory.Günther Eder - 2016 - Mind 125 (497):5-40.
    In a series of articles dating from 1903 to 1906, Frege criticizes Hilbert’s methodology of proving the independence and consistency of various fragments of Euclidean geometry in his Foundations of Geometry. In the final part of the last article, Frege makes his own proposal as to how the independence of genuine axioms should be proved. Frege contends that independence proofs require the development of a ‘new science’ with its own basic truths. This paper aims to provide a reconstruction of this (...)
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  • The Antinomy of the Variable: A Tarskian Resolution.Bryan Pickel & Brian Rabern - 2016 - Journal of Philosophy 113 (3):137-170.
    Kit Fine has reawakened a puzzle about variables with a long history in analytic philosophy, labeling it “the antinomy of the variable”. Fine suggests that the antinomy demands a reconceptualization of the role of variables in mathematics, natural language semantics, and first-order logic. The difficulty arises because: (i) the variables ‘x’ and ‘y’ cannot be synonymous, since they make different contributions when they jointly occur within a sentence, but (ii) there is a strong temptation to say that distinct variables ‘x’ (...)
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  • Sentence, Proposition, Judgment, Statement, and Fact: Speaking about the Written English Used in Logic.John Corcoran - 2009 - In W. A. Carnielli (ed.), The Many Sides of Logic. College Publications. pp. 71-103.
    The five English words—sentence, proposition, judgment, statement, and fact—are central to coherent discussion in logic. However, each is ambiguous in that logicians use each with multiple normal meanings. Several of their meanings are vague in the sense of admitting borderline cases. In the course of displaying and describing the phenomena discussed using these words, this paper juxtaposes, distinguishes, and analyzes several senses of these and related words, focusing on a constellation of recommended senses. One of the purposes of this paper (...)
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  • Pluralism in Mathematics: A New Position in Philosophy of Mathematics.Michèle Friend - 2013 - Dordrecht, Netherland: Springer.
    The pluralist sheds the more traditional ideas of truth and ontology. This is dangerous, because it threatens instability of the theory. To lend stability to his philosophy, the pluralist trades truth and ontology for rigour and other ‘fixtures’. Fixtures are the steady goal posts. They are the parts of a theory that stay fixed across a pair of theories, and allow us to make translations and comparisons. They can ultimately be moved, but we tend to keep them fixed temporarily. Apart (...)
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  • How Tarski Defined the Undefinable.Cezary Cieśliński - 2015 - European Review 23 (01):139 - 149.
    This paper describes Tarski’s project of rehabilitating the notion of truth, previously considered dubious by many philosophers. The project was realized by providing a formal truth definition, which does not employ any problematic concept.
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  • Conditionals, Meaning, and Mood.William Starr - 2010 - Dissertation, Rutgers University
    This work explores the hypothesis that natural language is a tool for changing a language user's state of mind and, more specifically, the hypothesis that a sentence's meaning is constituted by its characteristic role in fulfilling this purpose. This view contrasts with the dominant approach to semantics due to Frege, Tarski and others' work on artificial languages: language is first and foremost a tool for representing the world. Adapted to natural language by Davidson, Lewis, Montague, et. al. this dominant approach (...)
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  • Dialectical Contradictions and Classical Formal Logic.Inoue Kazumi - 2014 - International Studies in the Philosophy of Science 28 (2):113-132.
    A dialectical contradiction can be appropriately described within the framework of classical formal logic. It is in harmony with the law of noncontradiction. According to our definition, two theories make up a dialectical contradiction if each of them is consistent and their union is inconsistent. It can happen that each of these two theories has an intended model. Plenty of examples are to be found in the history of science.
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