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The Foundations of Frege's Logic

Noûs 27 (4):532-535 (1993)

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  1. Hyperintensional metaphysics.Daniel Nolan - 2014 - Philosophical Studies 171 (1):149-160.
    In the last few decades of the twentieth century there was a revolution in metaphysics: the intensional revolution. Many metaphysicians rejected the doctrine, associated with Quine and Davidson, that extensional analyses and theoretical resources were the only acceptable ones. Metaphysicians embraced tools like modal and counterfactual analyses, claims of modal and counterfactual dependence, and entities such as possible worlds and intensionally individuated properties and relations. The twenty-first century is seeing a hypterintensional revolution. Theoretical tools in common use carve more finely (...)
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  • The logic, intentionality, and phenomenology of emotion.Michelle Montague - 2009 - Philosophical Studies 145 (2):171-192.
    My concern in this paper is with the intentionality of emotions. Desires and cognitions are the traditional paradigm cases of intentional attitudes, and one very direct approach to the question of the intentionality of emotions is to treat it as sui generis—as on a par with the intentionality of desires and cognitions but in no way reducible to it. A more common approach seeks to reduce the intentionality of emotions to the intentionality of familiar intentional attitudes like desires and cognitions. (...)
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  • Against propositionalism.Michelle Montague - 2007 - Noûs 41 (3):503–518.
    'Propositionalism' is the widely held view that all intentional mental relations-all intentional attitudes-are relations to propositions or something proposition-like. Paradigmatically, to think about the mountain is ipso facto to think that it is F, for some predicate 'F'. It seems, however, many intentional attitudes are not relations to propositions at all: Mary contemplates Jonah, adores New York, misses Athens, mourns her brother. I argue, following Brentano, Husserl, Church and Montague among others, that the way things seem is the way they (...)
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  • If structured propositions are logical procedures then how are procedures individuated?Marie Duží - 2019 - Synthese 196 (4):1249-1283.
    This paper deals with two issues. First, it identifies structured propositions with logical procedures. Second, it considers various rigorous definitions of the granularity of procedures, hence also of structured propositions, and comes out in favour of one of them. As for the first point, structured propositions are explicated as algorithmically structured procedures. I show that these procedures are structured wholes that are assigned to expressions as their meanings, and their constituents are sub-procedures occurring in executed mode. Moreover, procedures are not (...)
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  • Predicativity, the Russell-Myhill Paradox, and Church’s Intensional Logic.Sean Walsh - 2016 - Journal of Philosophical Logic 45 (3):277-326.
    This paper sets out a predicative response to the Russell-Myhill paradox of propositions within the framework of Church’s intensional logic. A predicative response places restrictions on the full comprehension schema, which asserts that every formula determines a higher-order entity. In addition to motivating the restriction on the comprehension schema from intuitions about the stability of reference, this paper contains a consistency proof for the predicative response to the Russell-Myhill paradox. The models used to establish this consistency also model other axioms (...)
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  • Sense and the computation of reference.Reinhard Muskens - 2004 - Linguistics and Philosophy 28 (4):473 - 504.
    The paper shows how ideas that explain the sense of an expression as a method or algorithm for finding its reference, preshadowed in Frege’s dictum that sense is the way in which a referent is given, can be formalized on the basis of the ideas in Thomason (1980). To this end, the function that sends propositions to truth values or sets of possible worlds in Thomason (1980) must be replaced by a relation and the meaning postulates governing the behaviour of (...)
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  • Recent Work on Structured Meaning and Propositional Unity.Bjørn Jespersen - 2012 - Philosophy Compass 7 (9):620-630.
    Logical semantics includes once again structured meanings in its repertoire. The leading idea is that semantic and syntactic structure are more or less isomorphic. A key motive for reintroducing sensitivity to semantic structure is to obtain fine‐grained meanings, which are individuated more finely than in possible‐world semantics, namely up to necessary equivalence. Just getting the truth‐conditions right is deemed insufficient for a full semantic analysis of sentences. This paper surveys some of the most recent contributions to the program of structured (...)
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  • Rethinking Role Realism.Daniela Glavaničová - 2021 - British Journal of Aesthetics 61 (1):59-74.
    Role realism is a promising realist theory of fictional names. Different versions of this theory have been suggested by Gregory Currie, Peter Lamarque, Stein Haugom Olsen, and Nicholas Wolterstorff. The general idea behind the approach is that fictional characters are to be analysed in terms of roles, which in turn can be understood as sets of properties. I will discuss several advantages and disadvantages of this approach. I will then propose a novel hyperintensional version of role realism, according to which (...)
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  • CIFOL: Case-Intensional First Order Logic: Toward a Theory of Sorts.Nuel Belnap & Thomas Müller - 2014 - Journal of Philosophical Logic 43 (2-3):393-437.
    This is part I of a two-part essay introducing case-intensional first order logic, an easy-to-use, uniform, powerful, and useful combination of first-order logic with modal logic resulting from philosophical and technical modifications of Bressan’s General interpreted modal calculus. CIFOL starts with a set of cases; each expression has an extension in each case and an intension, which is the function from the cases to the respective case-relative extensions. Predication is intensional; identity is extensional. Definite descriptions are context-independent terms, and lambda-predicates (...)
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  • A New Logic of Technical Malfunction.Bjørn Jespersen & Massimiliano Carrara - 2013 - Studia Logica 101 (3):547-581.
    Aim of the paper is to present a new logic of technical malfunction. The need for this logic is motivated by a simple-sounding philosophical question: Is a malfunctioning corkscrew, which fails to uncork bottles, nonetheless a corkscrew? Or in general terms, is a malfunctioning F, which fails to do what Fs do, nonetheless an F? We argue that ‘malfunctioning’ denotes the modifier Malfunctioning rather than a property, and that the answer depends on whether Malfunctioning is subsective or privative. If subsective, (...)
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  • Classical harmony: Rules of inference and the meaning of the logical constants.Peter Milne - 1994 - Synthese 100 (1):49 - 94.
    The thesis that, in a system of natural deduction, the meaning of a logical constant is given by some or all of its introduction and elimination rules has been developed recently in the work of Dummett, Prawitz, Tennant, and others, by the addition of harmony constraints. Introduction and elimination rules for a logical constant must be in harmony. By deploying harmony constraints, these authors have arrived at logics no stronger than intuitionist propositional logic. Classical logic, they maintain, cannot be justified (...)
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  • Non-Naturalist Moral Realism, Autonomy and Entanglement.Graham Oddie - 2018 - Topoi 37 (4):607-620.
    It was something of a dogma for much of the twentieth century that one cannot validly derive an ought from an is. More generally, it was held that non-normative propositions do not entail normative propositions. Call this thesis about the relation between the natural and the normative Natural-Normative Autonomy. The denial of Autonomy involves the entanglement of the natural with the normative. Naturalism entails entanglement—in fact it entails the most extreme form of entanglement—but entanglement does not entail naturalism. In a (...)
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  • Structured lexical concepts, property modifiers, and Transparent Intensional Logic.Bjørn Jespersen - 2015 - Philosophical Studies 172 (2):321-345.
    In a 2010 paper Daley argues, contra Fodor, that several syntactically simple predicates express structured concepts. Daley develops his theory of structured concepts within Tichý’s Transparent Intensional Logic . I rectify various misconceptions of Daley’s concerning TIL. I then develop within TIL an improved theory of how structured concepts are structured and how syntactically simple predicates are related to structured concepts.
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  • Transparent quantification into hyperpropositional attitudes de dicto.Bjørn Jespersen & Marie Duží - 2022 - Linguistics and Philosophy 45 (5):1119-1164.
    We prove how to validly quantify into hyperpropositional contexts de dicto in Transparent Intensional Logic. Hyperpropositions are sentential meanings and attitude complements individuated more finely than up to logical equivalence. A hyperpropositional context de dicto is a context in which only co-hyperintensional propositions can be validly substituted. A de dicto attitude ascription is one that preserves the attributee’s perspective when one complement is substituted for another. Being an extensional logic of hyperintensions, Transparent Intensional Logic validates all the rules of extensional (...)
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  • Co‐Hyperintensionality.Federico L. G. Faroldi - 2017 - Ratio 30 (3):270-287.
    Co-hyperintensionality, or hyperintensional equivalence, is a relation holding between two or more contents that can be substituted in a hyperintensional context salva veritate. I argue that two strategies used to provide criteria for co-hyperintensionality fail. I argue that there is no generalized notion of co-hyperintensionality that meets plausible desiderata, by showing that the opposite thesis leads to falsity. As a conclusion, I suggest to take co-hyperintensionality as a primitive and I provide a general criterion of co-hyperintensionality whose content depends on (...)
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  • Predication and extensionalization.Bjørn Jespersen - 2008 - Journal of Philosophical Logic 37 (5):479 - 499.
    In his 2000 book Logical Properties Colin McGinn argues that predicates denote properties rather than sets or individuals. I support the thesis, but show that it is vulnerable to a type-incongruity objection, if properties are (modelled as) functions, unless a device for extensionalizing properties is added. Alternatively, properties may be construed as primitive intensional entities, as in George Bealer. However, I object to Bealer’s construal of predication as a primitive operation inputting two primitive entities and outputting a third primitive entity. (...)
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  • Semantic Values for Natural Deduction Derivations.Göran Sundholm - 2006 - Synthese 148 (3):623-638.
    Drawing upon Martin-Löf’s semantic framework for his constructive type theory, semantic values are assigned also to natural-deduction derivations, while observing the crucial distinction between consequence among propositions and inference among judgements. Derivations in Gentzen’s format with derivable formulae dependent upon open assumptions, stand, it is suggested, for proof-objects, whereas derivations in Gentzen’s sequential format are proof-acts.
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  • Reformulating Tichý's Conception of Bare Individuals.Jiří Raclavský - 2008 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 15 (2):143-167.
    A bare individual was conceived by Tichý as an individual such as if the property the individual instantiates is non-trivial , it is possible for the individual to lack it ; and for any trivial property that it cannot lack this kind of property. The exact readings of Tichý’s original formulations of are subjected to a detailed analysis to reveal that any of them is refutable by means of Cmorejian objection that there exist contingent properties which are partly essential . (...)
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  • On Two Notions of Computation in Transparent Intensional Logic.Ivo Pezlar - 2018 - Axiomathes 29 (2):189-205.
    In Transparent Intensional Logic we can recognize two distinct notions of computation that loosely correspond to term rewriting and term interpretation as known from lambda calculus. Our goal will be to further explore these two notions and examine some of their properties.
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  • Conceptual and Derivation Systems.Jiří Raclavský & Petr Kuchyňka - 2011 - Logic and Logical Philosophy 20 (1-2):159-174.
    Pavel Materna proposed valuable explications of concept and conceptual system. After their introduction, we contrast conceptual systems with (a novel notion of) derivation systems. Derivation systems differ from conceptual systems especially in including derivation rules. This enables us to show close connections among the realms of objects, their concepts, and reasoning with concepts.
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  • Extensionality and logicality.Gil Sagi - 2017 - Synthese (Suppl 5):1-25.
    Tarski characterized logical notions as invariant under permutations of the domain. The outcome, according to Tarski, is that our logic, which is commonly said to be a logic of extension rather than intension, is not even a logic of extension—it is a logic of cardinality. In this paper, I make this idea precise. We look at a scale inspired by Ruth Barcan Marcus of various levels of meaning: extensions, intensions and hyperintensions. On this scale, the lower the level of meaning, (...)
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  • Explicit Intensionalization, Anti‐Actualism, and How Smith's Murderer Might Not Have Murdered Smith.Bjørn Jespersen - 2005 - Dialectica 59 (3):285–314.
    The purpose of this article is to provide a non‐contradictory interpretation of sentences such as “Smith's murderer might not have murdered Smith”. An anti‐actualist, two‐dimensional framework including partial functions provides the basis for my solution. I argue for two claims. The modal profile of the proposition expressed by “The F might not have been an F” is complex: at any world where there is a unique F the proposition is true; at any world without a unique F the proposition has (...)
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  • The pragmatization of semantics.Jaroslav Peregrin - 1999 - In Ken Turner, The semantics/pragmatics interface from different points of view. New York: Elsevier. pp. 419--442.
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  • Towards an Extensional Calculus of Hyperintensions.Marie Duží - 2012 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 19:20-45.
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  • In Defense of Logical Universalism: Taking Issue with Jean van Heijenoort.Philippe Rouilhan - 2012 - Logica Universalis 6 (3-4):553-586.
    Van Heijenoort's main contribution to history and philosophy of modern logic was his distinction between two basic views of logic, first, the absolutist, or universalist, view of the founding fathers, Frege, Peano, and Russell, which dominated the first, classical period of history of modern logic, and, second, the relativist, or model-theoretic, view, inherited from Boole, Schröder, and Löwenheim, which has dominated the second, contemporary period of that history. In my paper, I present the man Jean van Heijenoort (Sect. 1); then (...)
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  • Tichý and Fictional Names.Daniela Glavaničová - 2017 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 24 (3):384-404.
    The paper examines two possible analyses of fictional names within Pavel Tichý’s Transparent Intensional Logic. The first of them is the analysis actually proposed by Tichý in his (1988) book The Foundations of Frege’s Logic. He analysed fictional names in terms of free variables. I will introduce, explain, and assess this analysis. Subsequently, I will explain Tichý’s notion of individual role (office, thing-to-be). On the basis of this notion, I will outline and defend the second analysis of fictional names. This (...)
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  • K pojmom existencie a ich rádu.Pavel Cmorej - 2011 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 18 (1):84-95.
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  • Ryzí individuátory a holá individua.Jiri Raclavsky - 2008 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 15 (4):493-507.
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  • Are wooden tables necessarily wooden?: Intensional essentialism versus metaphysical modality.Bjørn Jespersen & Pavel Materna - 2002 - Acta Analytica 17 (1):115-150.
    This paper defendsintensional essentialism: a property (intensional entity) is not essential relative to an individual (extensional entity), but relative to other properties (or intensional entities). Consequently, an individual can have a property only accidentally, but in virtue of having that property the individual has of necessity other properties. Intensional essentialism is opposed to various aspects of the Kripkean notion of metaphysical modality, eg, varying domains, existence as a property of individuals, and its category of properties which are both empirical and (...)
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  • Conceptual dependence of verisimilitude.Jiří Raclavský - 2007 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 14 (3):334-353.
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  • Decomposition and analysis in Frege’s Grundgesetze.Gregory Landini - 1996 - History and Philosophy of Logic 17 (1-2):121-139.
    Frege seems to hold two incompatible theses:(i) that sentences differing in structure can yet express the same sense; and (ii) that the senses of the meaningful parts of a complex term are determinate parts of the sense of the term. Dummett offered a solution, distinguishing analysis from decomposition. The present paper offers an embellishment of Dummett?s distinction by providing a way of depicting the internal structures of complex senses?determinate structures that yield distinct decompositions. Decomposition is then shown to be adequate (...)
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  • Úvod do teoretické sémantiky.Jaroslav Peregrin - manuscript
    Když jsem v roce 1992 začínal na filosofické fakultě UK přednášet teorii sémantiky, cítil jsem intenzivní potřebu poskytnout studentům nějaký učební text. O překotném vývoji tohoto interdisciplinárního oboru, který odstartovalo v sedmdesátých letech úspěšné “zkřížení logiky s lingvistikou” Richardem Montaguem a dalšími a který se nezpomalil dodnes, totiž v češtině neexistovaly prakticky žádné zprávy (s čestnou výjimkou přístupu tzv. transparentní intenzionální logiky, který byl dílem českého emigranta Pavla Tichého a o kterém u nás psal Pavel Materna). Přehledové publikace, jaké jsou (...)
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  • Tracks of Relations and Equivalences-based Reasoning.G. Shtakser & L. Leonenko - 2011 - Studia Logica 97 (3):385-413.
    It is known that the Restricted Predicate Calculus can be embedded in an elementary theory, the signature of which consists of exactly two equivalences. Some special models for the mentioned theory were constructed to prove this fact. Besides formal adequacy of these models, a question may be posed concerning their conceptual simplicity, "transparency" of interpretations they assigned to the two stated equivalences. In works known to us these interpretations are rather complex, and can be called "technical", serving only the purpose (...)
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  • Na margo zlej správy pre ontologických nudistov.Pavel Cmorej - 2010 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 17 (2):218-226.
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  • Co obnáší kontingentní existence individuí.Jiří Raclavský - 2010 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 17 (3):374-387.
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  • Strawsonian vs. Russellian definite descriptions.Marie Duží - 2009 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 16 (4):587-614.
    In 1905 Bertrand Russell took on the problem of definite descriptions, and his analysis became the standard up until 1950 when Peter Strawson criticised Russell’s solution as inadequate. Since then many opponents as well as proponents of the Russellian solution have been involved in a long-term debate on definite descriptions. In this paper I show that both sides of the contention are partly right and partly wrong, because sentences of the form “The F is a G” are ambiguous. However, the (...)
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  • The Epistemology of Disagreement: New Essays By David Christensen and Jennifer Lackey.Tomas Bogardus & Anna Brinkerhoff - 2015 - Analysis 75 (2):339-342.
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  • The structure of lexical concepts.Ken Daley - 2010 - Philosophical Studies 150 (3):349 - 372.
    Jerry Fodor (Concepts: Where cognitive science went wrong. New York: Oxford University Press, 1998) famously argued that lexical concepts are unstructured. After examining the advantages and disadvantages of both the classical approach to concepts and Fodor's conceptual atomism, I argue that some lexical concepts are, in fact, structured. Roughly stated, I argue that structured lexical concepts bear a necessary biconditional entailment relation to their structural constituents. I develop this account of the structure of lexical concepts within the framework of Pavel (...)
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  • Sémantika jmen ve fikci: obhajoba a rozvinutí Tichého koncepce.Jiří Raclavský - 2011 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 18 (1):72-83.
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  • A Century of Inference: 1837-1936.B. G. Sundholm - unknown
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  • The demarcation problem of laws of nature.Lukáš Bielik - 2010 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 17 (4):522-549.
    The paper focuses on the problem of identification of laws of nature and their demarcation from other kinds of regularities. The problem is approached from the viewpoint of several metaphysical, epistemological, logical and methodological criteria. Firstly, several dominant approaches to the problem are introduced. Secondly, the logical and semantic explicatory framework – Transparent Intensional Logic – is presented for the sake of clarification of logical forms of sentences that are supposed to express the laws of nature. Finally, a complementary strategy (...)
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  • Ještě k existenci jednotlivin.Pavel Materna - 2010 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 17 (3):366-368.
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  • On Spacetime, Points, and Bare Particulars.Martin Schmidt - 2008 - Metaphysica 9 (1):69-77.
    In his paper Bare Particulars, T. Sider claims that one of the most plausible candidates for bare particulars are spacetime points. The aim of this paper is to shed light on Sider’s reasoning and its consequences. There are three concepts of spacetime points that allow their identification with bare particulars. One of them, Moderate structural realism, is considered to be the most adequate due its appropriate approach to spacetime metric and moderate view of mereological simples. However, it pushes the Substratum (...)
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  • Indivíduá a ich individuátory.Pavel Cmorej - 2009 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 16 (2):250-262.
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  • Structural Linguistics And Formal Semantics.Jaroslav Peregrin - unknown
    The beginning of this century hailed a new paradigm in linguistics, the paradigm brought about by de Saussure's Cours de Linguistique Genérále and subsequently elaborated by Jakobson, Hjelmslev and other linguists. It seemed that the linguistics of this century was destined to be structuralistic. However, half of the century later a brand new paradigm was introduced by Chomsky's Syntactic Structures followed by Montague's formalization of semantics. This new turn has brought linguistics surprisingly close to mathematics and logic, and has facilitated (...)
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  • K Cmorejově kritice.Karel Šebela - 2008 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 15 (1):75-79.
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  • Conceptual Dependence of Verisimilitude Vindicated. A Farewell to Miller's Argument.Jiří Raclavský - 2008 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 15 (3):369-382.
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  • On Vít Gvoždiak's “John Searle's Theory of Sign”.Phila Msimang - 2015 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 22 (2):255-261.
    Vít Gvoždiak published a reconciliatory analysis of Searle’s social ontology with semiotics in Gvoždiak (2012). Without prior knowledge of his paper, an analysis of the same subject appeared in Msimang (2014). Even though Searle’s social ontology is a common point of reference in the formulation of semiotics in these papers, it also serves as a point of departure in their understanding of semiotics and its development. The semiotic theory expressed in Gvoždiak (2012) is an inherently linguistic (speech act centred) theory, (...)
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  • K Šebelovej kritike jednej kritiky antiesencializmu.Pavel Cmorej - 2007 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 14 (3):372-378.
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  • The Methodology and Structure of Gottlob Frege's Logico-philosophical Investigations.Kazuyuki Nomoto - 2006 - Annals of the Japan Association for Philosophy of Science 14 (2):73-97.
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