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The Foundations of Frege's Logic

Noûs 27 (4):532-535 (1993)

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  1. 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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  • 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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  • 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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  • 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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  • 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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  • Concepts and recipes.Pavel Materna - 2009 - Acta Analytica 24 (1):69-90.
    If concepts are explicated as abstract procedures, then we can easily show that each empirical concept is a not an effective procedure. Some, but not all empirical concepts are shown to be of a special kind: they cannot in principle guarantee that the object they identify satisfies the intended conditions.
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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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  • 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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  • 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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  • 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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  • Testovateľnosť a význam observačných a teoretických termínov.Lukáš Bielik - 2011 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 18 (3):384-397.
    Carnap’s analysis of the language of science had presupposed too close a connection between the semantics and testability. The core problem of the logical empiricist tradition was to show how to provide the interpretation of theoretical terms and hence the explanation of their application to observable entities by means of observation terms. It is argued that the utilization of a much more expressive semantic theory which identifies meanings with hyperintensional entities leads to a clarification of the competencies of semantics and (...)
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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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  • 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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  • The pragmatization of semantics.Jaroslav Peregrin - 1999 - In Ken P. Turner (ed.), The semantics/pragmatics interface from different points of view. New York: Elsevier. pp. 419--442.
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  • Formální zachycení kontextu.Jaroslav Peregrin - manuscript
    Určité okolnosti (konkrétně historické okolnosti vývoje jazyka) určují, co slova, ze kterých se tato věta skládá, znamenají. (ii) Jiné okolnosti (kontext výpovědi této věty) mohou určovat, k čemu některé výrazy v této větě (já, tady, ...) odkazují. (iii) Další okolnosti (odpovídající tomu, o čem tato věta hovoří) určují, zda se věci mají tak, jak věta říká. Vezměme například větu..
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  • 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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  • Semantic Paradoxes and Transparent Intensional Logic.Jiri Raclavsky - 2012 - The Logica Yearbook 2011 (College Publications):239-252.
    The paper describes the solution to semantic paradoxes pioneered by Pavel Tichý and further developed by the present author. Its main feature is an examination (and then refutation) of the hidden premise of paradoxes that the paradox-producing expression really means what it seems to mean. Semantic concepts are explicated as relative to language, thus also language is explicated. The so-called ‘explicit approach’ easily treats paradoxes in which language is explicitly referred to. The residual paradoxes are solved by the ‘implicit approach’ (...)
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  • Simple Concepts.Pavel Materna - 2013 - Acta Analytica 28 (3):295-319.
    To talk about simple concepts presupposes that the notion of concept has been aptly explicated. I argue that a most adequate explication should abandon the set-theoretical paradigm and use a procedural approach. Such a procedural approach is offered by Tichý´s Transparent Intensional Logic (TIL). Some main notions and principles of TIL are briefly presented, and as a result, concepts are explicated as a kind of abstract procedure. Then it can be shown that simplicity, as applied to concepts, is well definable (...)
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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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  • Taking Frege's name in vain.James Zaiss - 1993 - Erkenntnis 39 (2):167 - 190.
    A widely held view about Fregean Sense has it that the determination of a sign's referent by the sign's sense is achieved viasatisfaction: the sense specifies a condition (or set of conditions) and the referent is that entity, if any, which uniquely satisfies that (set of) condition(s). This is usually held in conjunction with the claim that the sense is existentially and qualitatively independent of the referent: if the referent did not exist, or did not uniquely satisfy the sense, the (...)
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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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  • Frege, the identity of Sinn and Carnap's intension.I. Hanzel - 2006 - History and Philosophy of Logic 27 (3):229-247.
    The paper analyses Frege's approach to the identity conditions for the entity labelled by him as Sinn. It starts with a brief characterization of the main principles of Frege's semantics and lists his remarks on the identity conditions for Sinn. They are subject to a detailed scrutiny, and it is shown that, with the exception of the criterion of intersubstitutability in oratio obliqua, all other criteria have to be discarded. Finally, by comparing Frege's views on Sinn with Carnap's method of (...)
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  • Perspectives into analytical philosophy. [REVIEW]Leila Haaparanta - 1995 - Synthese 105 (1):123-139.
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  • A Century of Inference: 1837-1936.B. G. Sundholm - unknown
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  • Abstract and Concrete Individuals and Projection.Jiri Raclavsky - 2017 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 24 (supplementary):74-88.
    Two kinds of individuals are distinguished: abstract and concrete. Whereas abstract individuals belong to our conceptual sphere, concrete individuals (i.e. particulars) individuate the world of matter. A subject investigating the external world projects abstract individuals onto concrete ones. The proposal offers a solution to various metaphysical and epistemological puzzles concerned with individuals, e.g., the Ship of Theseus, the Polish Logician, problems with reidentification, or proper names.
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  • Constructional vs. Denotational Conception of Aboutness.Jiri Raclavsky - 2014 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 21 (2):219-236.
    Anotace Following Carnap's Principle of Subject Matter, Pavel Tichý proposed a methodological principle I call the "Denotational Principle of Aboutness". It says that expressions are about their denotata. Denotata are modelled as possible world intensions or (common) extensions. Nearly the same principle was recently defended by Marie Duží and Pavel Materna under the name the "Parmenides Principle". However, Duží and Materna did not react to Tichý's late proposal which I call the "Constructional Principle of Aboutness". It says that the subject (...)
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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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  • On Tichy’s determiners and Zalta’s abstract objects.A. Sierszulska - 2006 - Axiomathes 16 (4):486-498.
    It is not a common practice to postulate meaning entities treated as objects of some kind. The paper demonstrates two ways of introducing meaning-objects in two logics of natural language, Tichy’s Transparent Intensional Logic and Zalta’s Intensional Logic of Abstract Objects. Tichy’s theory belongs to the Fregean line of thinking, with what he calls ‘constructions’ as Fregean senses, and ‘determiners’ as object-like meaning entities constructed by the senses. Zalta’s theory belongs to Meinongian logics and he postulates a rich realm of (...)
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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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  • 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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  • 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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  • Rigidity in Mathematical Discourse.Marián Zouhar - 2017 - Philosophia 45 (3):1381-1394.
    Rigid designators designate whatever they do in all possible worlds. Mathematical definite descriptions are usually considered paradigmatic examples of such expressions. The main aim of the present paper is to challenge this view. It is argued that mathematical definite descriptions cannot be rigid in the same sense as ordinary empirical definite descriptions because—assuming that mathematical facts are not determined by goings on in possible worlds—mathematical descriptions designate whatever they do independently of possible worlds. Nevertheless, there is a widespread practice of (...)
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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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  • Ryzí individuátory a holá individua.Jiří Raclavský - 2008 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 15 (4):493-507.
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  • Equivalence of Problems (An Attempt at an Explication of Problem).Pavel Materna - 2013 - Axiomathes 23 (4):617-631.
    On the one hand, Pavel Tichý has shown in his Transparent Intensional Logic (TIL) that the best way of explicating meaning of the expressions of a natural language consists in identification of meanings with abstract procedures. TIL explicates objective abstract procedures as so-called constructions. Constructions that do not contain free variables and are in a well-defined sense ´normalized´ are called concepts in TIL. On the second hand, Kolmogorov in (Mathematische Zeitschrift 35: 58–65, 1932) formulated a theory of problems, using NL (...)
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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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  • On Partiality and Tichý's Transparent Intensional Logic.Jiri Raclavsky - 2010 - Magyar Filozofiai Szemle 54 (4):120-128.
    The paper focuses on treating partiality within Tichý’s logical system. Tichý’s logic is two-valued and type-theoretic. His simple theory of types (and the deduction system for it) accepts both total and partial functions. Tichý’s late framework is explicitly ramified. So-called constructions (roughly: algorithms) construct, e.g., values of functions at arguments; in some cases, however, they do not construct anything at all. This special partiality phenomenon is discussed in the second part of the paper.
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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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  • 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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  • 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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  • Dialógy–polemiky.D. U. Ž. Í Marie - 2006 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 13 (2):189-206.
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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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  • On the essence of empty properties.Miloš Kosterec - 2021 - Synthese 198 (1):491-507.
    This paper deals with generalisations of modally based criteria for determining whether a given property is essential to an individual to the case of generic essences. These criteria usually presuppose extensionally individuated properties. The limitations of their generalisations are demonstrated using the case of the necessarily empty individual property and the necessarily empty individual office. I do not present a novel stance on the discussion of individual essences. The novelty of this paper lies in its claim that none of these (...)
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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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  • 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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  • 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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  • K pojmom existencie a ich rádu.Pavel Cmorej - 2011 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 18 (1):84-95.
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  • Pavel Tichý a teorie dedukce.Karel Šebela - 2013 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 20 (2):66-74.
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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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  • Komplexy (II).Pavel Cmorej-Pavel Tichý - 1998 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 5 (3):266-289.
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