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Elements of symbolic logic

London: Dover Publications (1947)

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  1. Consistency proofs for applied mathematics.Merrilee H. Salmon - 1977 - Synthese 34 (3):301 - 312.
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  • Reference to Abstract Objects in Discourse.Nicholas Asher - 1993 - Dordrecht, Boston, and London: Kluwer.
    This volume is about abstract objects and the ways we refer to them in natural language. Asher develops a semantical and metaphysical analysis of these entities in two stages. The first reflects the rich ontology of abstract objects necessitated by the forms of language in which we think and speak. A second level of analysis maps the ontology of natural language metaphysics onto a sparser domain--a more systematic realm of abstract objects that are fully analyzed. This second level reflects the (...)
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  • マクタガートのA理論とB理論の成立経緯と「時間の空間化」.Tora Koyama - 2023 - Kagaku Tetsugaku 55 (2):19-34.
    McTaggart’s paradox and his A-theory and B-theory are basic notions in the contemporary philosophy of time. It is well known that the paradox was introduced by McTaggart’s paper called “The Unreality of Time” published in 1908, so that it has a one-hundred-year history. As for A-theory and B-theory, in contrast, McTaggart himself didn’t consider both of them at all. The notions of A-theory and B-theory came much later, 60 years after the paradox. Moreover, they had not been as popularized as (...)
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  • Future Displacement and Modality.Fabrizio Cariani - manuscript
    In this survey article, I discuss the variety of ways in which language allows us to talk about the future. Topics discussed include how the category of predictive expressions broadly understood relates to the syntactic category of tense; what it means to say that a language does not have tense; how predictiveness relates to modality; and finally technical issue concerning the scope of negation in a semantics that is capable of shifting evaluation towards the future.
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  • Temporal location of events in language and (non) persistence of the past.Fabio Del Prete - 2020 - Critical Hermeneutics 4 (II):25-68.
    The article reviews some analyses of temporal language in logical approaches to natural language semantics. It considers some asymmetries between past and future, manifested in language, which motivate the “standard view” of the non-reversibility of time and the persistence of the past. It concludes with a puzzle about the changing past which challenges the standard view.
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  • Every Word is a Name: Autonymy and Quotation in Augustine.Tamer Nawar - 2021 - Mind 130 (518):595-616.
    Augustine famously claims every word is a name. Some readers take Augustine to thereby maintain a purely referentialist semantic account according to which every word is a referential expression whose meaning is its extension. Other readers think that Augustine is no referentialist and is merely claiming that every word has some meaning. In this paper, I clarify Augustine’s arguments to the effect that every word is a name and argue that ‘every word is a name’ amounts to the claim that (...)
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  • Outline for a Truth-Conditional Semantics for Tense.Ernest Lepore & Kirk Ludwig - 2003 - In Quentin Smith & Aleksandar Jokic (eds.), Tense, Time and Reference. MIT Press. pp. 49-105.
    Our aim in the present paper is to investigate, from the standpoint of truth-theoretic semantics, English tense, temporal designators and quantifiers, and other expressions we use to relate ourselves and other things to the temporal order. Truth-theoretic semantics provides a particularly illuminating standpoint from which to discuss issues about the semantics of tense, and their relation to thoughts at, and about, times. Tense, and temporal modifiers, contribute systematically to conditions under which sentences we utter are true or false. A Tarski-style (...)
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  • The Berlin Group and the Vienna Circle: Affinities and Divergences.Nikolay Milkov - 2013 - In N. Milkov & V. Peckhaus (eds.), The Berlin Group and the Philosophy of Logical Empiricism. Springer, pp. 3-32. pp. 3--32.
    The Berlin Group was an equal partner with the Vienna Circle as a school of scientific philosophy, albeit one that pursued an itinerary of its own. But while the latter presented its defining projects in readily discernible terms and became immediately popular, the Berlin Group, whose project was at least as sig-nificant as that of its Austrian counterpart, remained largely unrecognized. The task of this chapter is to distinguish the Berliners’ work from that of the Vienna Circle and to bring (...)
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  • Events and the semantic content of thematic relations.Barry Schein - 2002 - In Gerhard Preyer Georg Peter (ed.), Logical Form and Language. Oxford University Press. pp. 263--344.
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  • Cognitive and Computer Systems for Understanding Narrative Text.William J. Rapaport, Erwin M. Segal, Stuart C. Shapiro, David A. Zubin, Gail A. Bruder, Judith Felson Duchan & David M. Mark - manuscript
    This project continues our interdisciplinary research into computational and cognitive aspects of narrative comprehension. Our ultimate goal is the development of a computational theory of how humans understand narrative texts. The theory will be informed by joint research from the viewpoints of linguistics, cognitive psychology, the study of language acquisition, literary theory, geography, philosophy, and artificial intelligence. The linguists, literary theorists, and geographers in our group are developing theories of narrative language and spatial understanding that are being tested by the (...)
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  • Pragmatics and Semantics.Francois Recanati - 2004 - In Laurence R. Horn & Gregory Ward (eds.), Handbook of Pragmatics. Blackwell. pp. 442-462.
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  • The Science of Meaning: Essays on the Metatheory of Natural Language Semantics.Derek Ball & Brian Rabern (eds.) - 2018 - Oxford: Oxford University Press.
    By creating certain marks on paper, or by making certain sounds-breathing past a moving tongue-or by articulation of hands and bodies, language users can give expression to their mental lives. With language we command, assert, query, emote, insult, and inspire. Language has meaning. This fact can be quite mystifying, yet a science of linguistic meaning-semantics-has emerged at the intersection of a variety of disciplines: philosophy, linguistics, computer science, and psychology. Semantics is the study of meaning. But what exactly is "meaning"? (...)
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  • Memory and Self-Reference.Jordi Fernández - 2024 - International Journal of Philosophical Studies 32 (1):59-77.
    Our memories elicit, in us, both beliefs about what the external world was like in the past, and beliefs about what our own past experience of it was like in the past. What explains the power of memories to do that? I tackle this question by offering an account of the content of our memories. According to this account, our memories are ‘token-reflexives’, in that they represent their own causal origin. My main contention will be that our memories are able (...)
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  • Existential disclosure.Paul Dekker - 1993 - Linguistics and Philosophy 16 (6):561 - 587.
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  • Two dimensional Standard Deontic Logic [including a detailed analysis of the 1985 Jones–Pörn deontic logic system].Mathijs de Boer, Dov M. Gabbay, Xavier Parent & Marija Slavkovic - 2012 - Synthese 187 (2):623-660.
    This paper offers a two dimensional variation of Standard Deontic Logic SDL, which we call 2SDL. Using 2SDL we can show that we can overcome many of the difficulties that SDL has in representing linguistic sets of Contrary-to-Duties (known as paradoxes) including the Chisholm, Ross, Good Samaritan and Forrester paradoxes. We note that many dimensional logics have been around since 1947, and so 2SDL could have been presented already in the 1970s. Better late than never! As a detailed case study (...)
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  • The Semantics of Actuality Terms: Indexical vs. Descriptive Theories.Wayne A. Davis - 2013 - Noûs 49 (3):470-503.
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  • On nonindexical contextualism.Wayne A. Davis - 2013 - Philosophical Studies 163 (2):561-574.
    Abstract MacFarlane distinguishes “context sensitivity” from “indexicality,” and argues that “nonindexical contextualism” has significant advantages over the standard indexical form. MacFarlane’s substantive thesis is that the extension of an expression may depend on an epistemic standard variable even though its content does not. Focusing on ‘knows,’ I will argue against the possibility of extension dependence without content dependence when factors such as meaning, time, and world are held constant, and show that MacFarlane’s nonindexical contextualism provides no advantages over indexical contextualism. (...)
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  • Modern indian work at the logic-linguistics boundary.Probal Dasgupta - 1981 - Journal of Indian Philosophy 9 (3):217-225.
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  • Do Events Have Their Parts Essentially?Paul R. Daniels & Dana Goswick - 2017 - Acta Analytica 32 (3):313-320.
    We argue that mereological essentialism for events is independent of mereological essentialism for objects, and that the philosophical fallout of embracing mereological essentialism for events is minimal. We first outline what we should consider to be the parts of events, and then highlight why one would naturally be inclined to think that the object-question and the event-question are linked. Then, we argue that they are not. We also diagnose why this is the case and emphasize the upshot. In particular, we (...)
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  • A pragmatic interpretation of intuitionistic propositional logic.Carlo Dalla Pozza & Claudio Garola - 1995 - Erkenntnis 43 (1):81-109.
    We construct an extension P of the standard language of classical propositional logic by adjoining to the alphabet of a new category of logical-pragmatic signs. The well formed formulas of are calledradical formulas (rfs) of P;rfs preceded by theassertion sign constituteelementary assertive formulas of P, which can be connected together by means of thepragmatic connectives N, K, A, C, E, so as to obtain the set of all theassertive formulas (afs). Everyrf of P is endowed with atruth value defined classically, (...)
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  • Martin haspelmath, indefinite pronouns.Östen Dahl - 1999 - Linguistics and Philosophy 22 (6):663-678.
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  • Causal Slingshots.Michael Baumgartner - 2010 - Erkenntnis 72 (1):111-133.
    Causal slingshots are formal arguments advanced by proponents of an event ontology of token-level causation which, in the end, are intended to show two things: (i) The logical form of statements expressing causal dependencies on token level features a binary predicate ‘‘... causes ...’’ and (ii) that predicate takes events as arguments. Even though formalisms are only revealing with respect to the logical form of natural language statements, if the latter are shown to be adequately captured within a corresponding formalism, (...)
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  • Prepositions and points of view.M. J. Cresswell - 1978 - Linguistics and Philosophy 2 (1):1 - 41.
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  • Adverbs and events.M. J. Cresswell - 1974 - Synthese 28 (3-4):455 - 481.
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  • Who Is I?Eros Corazza, William Fish & Jonathan Gorvett - 2002 - Philosophical Studies 107 (1):1-21.
    Whilst it may seem strange to ask to whom “I” refers, we show that there are occasionswhen it is not always obvious. In demonstratingthis we challenge Kaplan's assumptionthat the utterer, agent and referent of “I” arealways the same person.We begin by presenting what weregard to be the received view about indexicalreference popularized by David Kaplan in hisinfluential 1972 “Demonstratives” before goingon, in section 2, to discuss Sidelle'sanswering machine paradox which may be thoughtto threaten this view, and his deferredutterance method of (...)
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  • Same‐Saying, Pluri‐Propositionalism, and Implicatures.Eros Corazza - 2012 - Mind and Language 27 (5):546-569.
    In combining a pluri‐propositionalist framework (Bach‐style) concerning alleged conventional implicatures, and a pluri‐propositionalist framework (Perry‐style) distinguishing various levels of content associated with a single utterance, I defend a Grice‐inspired model of communication. In so doing, I rely on the distinction between what is said, i.e. what is semantically encoded, and what is pragmatically implicated. I show how the notion of same‐saying plays a central role in dealing with problems pertaining to communication insofar as it permits us to posit a stability (...)
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  • Existential Import Today: New Metatheorems; Historical, Philosophical, and Pedagogical Misconceptions.John Corcoran & Hassan Masoud - 2015 - History and Philosophy of Logic 36 (1):39-61.
    Contrary to common misconceptions, today's logic is not devoid of existential import: the universalized conditional ∀ x [S→ P] implies its corresponding existentialized conjunction ∃ x [S & P], not in all cases, but in some. We characterize the proexamples by proving the Existential-Import Equivalence: The antecedent S of the universalized conditional alone determines whether the universalized conditional has existential import, i.e. whether it implies its corresponding existentialized conjunction.A predicate is an open formula having only x free. An existential-import predicate (...)
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  • Dire «je».Eros Corazza - 1991 - Dialogue 30 (1-2):51-.
    Dans ce texte j'aborderai presque exclusivement la question de savoir si le pronom personnel «je» est un terme référentiel ou non. Il s'agit en définitive de savoir si le pronom en question est une expression qui désigne quelque chose et, si oui, de spécifier la nature du référent en question. En un mot, je me propose ici d'analyser le comportement sémantique du pronom «je».
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  • The Perceptual Present.Abigail Connor & Joel Smith - 2019 - Philosophical Quarterly (277):1-21.
    Phenomenologically speaking, we perceive the present, recall the past, and anticipate the future. We offer an account of the temporal content of the perceptual present that distinguishes it from the recalled past and the anticipated future. We distinguish two views: the Token Reflexive Account and the Minimal Account. We offer reasons to reject the Token Reflexive Account, and defend the Minimal Account, according to which the temporal content of the perceptual present is exhausted by its direct reference to the interval (...)
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  • Indexicality, meaning, use.Tadeusz Ciecierski - 2021 - Semiotica 2021 (238):73-89.
    The article presents two concepts of indexicality. The first, more standard and narrow, identifies indexicality with systematic (meaning controlled) context-sensitivity. The second, broader (derived from the work of Jerzy Pelc), conceives indexicality in terms of the potential variability of the general semiotic characteristics expressions (with respect to the context of use). The text introduces the concept of a pragmatic matrix that serves for a schematic representation of contextual variation. I also recapitulate briefly the views of Jerzy Pelc on the meaning (...)
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  • Spatial deictic tense and evidentials in Korean.Kyung-Sook Chung - 2007 - Natural Language Semantics 15 (3):187-219.
    This paper focuses on the Korean suffix -te, which has been variously analyzed as a marker of tense, aspect, tense–aspect, mood, mood–tense, or evidentiality. I argue against all of these approaches and propose instead that -te is a spatial deictic past tense, which triggers an evidential environment. It refers to a certain past time when the speaker either observed an event or some evidence of the event within his (her) perceptual field. Thus, the denotation of -te is ‘overlap’, not between (...)
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  • The logic of 'unless'.Marthe Chandler - 1982 - Philosophical Studies 41 (3):383 - 405.
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  • Mathematical Beauty, Understanding, and Discovery.Carlo Cellucci - 2015 - Foundations of Science 20 (4):339-355.
    In a very influential paper Rota stresses the relevance of mathematical beauty to mathematical research, and claims that a piece of mathematics is beautiful when it is enlightening. He stops short, however, of explaining what he means by ‘enlightening’. This paper proposes an alternative approach, according to which a mathematical demonstration or theorem is beautiful when it provides understanding. Mathematical beauty thus considered can have a role in mathematical discovery because it can guide the mathematician in selecting which hypothesis to (...)
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  • What good is five percent of a language competence?A. Charles Catania - 1990 - Behavioral and Brain Sciences 13 (4):729-731.
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  • Force and Choice.Sam Carter - 2022 - Linguistics and Philosophy 45 (4):873-910.
    Some utterances of imperative clauses have directive force—they impose obligations. Others have permissive force—they extend permissions. The dominant view is that this difference in force is not accompanied by a difference in semantic content. Drawing on data involving free choice items in imperatives, I argue that the dominant view is incorrect.
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  • Quotation, context sensitivity, signs and expressions.Herman Cappelen & Ernie Lepore - 2006 - Philosophical Issues 16 (1):43–64.
    Can one and the same quotation be used on different occasions to quote distinct objects? The view that it can is taken for granted throughout the literature (e.g. Goddard & Routley 1966, Christensen 1967, Davidson 1979, Goldstein 1984, Jorgensen et al 1984, Atlas 1989, Clark & Gerrig 1990, Washington 1992, García-Carpintero 1994, 2004, 2005, Reimer 1996, Saka 1998, Wertheimer 1999). Garcia-Carpintero (1994, p. 261) illustrates with the quotation expression ''gone''. He says it can be used to quote any of the (...)
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  • Introduction.Elisabeth Camp - 2007 - The Baltic International Yearbook of Cognition, Logic and Communication 3 (1).
    Here, I offer a rapid overview of the theory of metaphor, in order to situate the contributions to this volume in relation to one another and within the field more generally.
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  • Beyond the past, present, and future: towards the semantics of ‘graded tense’ in Gĩkũyũ. [REVIEW]Seth Cable - 2013 - Natural Language Semantics 21 (3):219-276.
    In recent years, our understanding of how tense systems vary across languages has been greatly advanced by formal semantic study of languages exhibiting fewer tense categories than the three commonly found in European languages. However, it has also often been reported that languages can sometimes distinguish more than three tenses. Such languages appear to have ‘graded tense’ systems, where the tense morphology serves to track how far into the past or future a reported event occurs. This paper presents a formal (...)
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  • Linguistic function and linguistic evolution.George A. Broadwell - 1990 - Behavioral and Brain Sciences 13 (4):728-729.
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  • The Logical Structure of Applied Social Science.GÜnther E. Braun - 1982 - Theory and Decision 14 (1):1.
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  • Cut Elimination in Transfinite Type Theory.Kenneth A. Bowen - 1973 - Mathematical Logic Quarterly 19 (8‐10):141-162.
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  • Cut Elimination in Transfinite Type Theory.Kenneth A. Bowen - 1973 - Mathematical Logic Quarterly 19 (8-10):141-162.
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  • Two dimensional Standard Deontic Logic [including a detailed analysis of the 1985 Jones–Pörn deontic logic system].Mathijs Boer, Dov M. Gabbay, Xavier Parent & Marija Slavkovic - 2012 - Synthese 187 (2):623-660.
    This paper offers a two dimensional variation of Standard Deontic Logic SDL, which we call 2SDL. Using 2SDL we can show that we can overcome many of the difficulties that SDL has in representing linguistic sets of Contrary-to-Duties (known as paradoxes) including the Chisholm, Ross, Good Samaritan and Forrester paradoxes. We note that many dimensional logics have been around since 1947, and so 2SDL could have been presented already in the 1970s. Better late than never! As a detailed case study (...)
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  • Past time reference in a language with optional tense.M. Ryan Bochnak - 2016 - Linguistics and Philosophy 39 (4):247-294.
    In this paper, I analyze the verbal suffix -uŋil in Washo as an optional past tense. It is optional in the sense that it is not part of a paradigm of tenses, and morphologically tenseless clauses are also compatible with past time reference. Specifically, I claim that -uŋil is the morphological exponent of a tense feature [past], which presupposes that the reference time of the clause, denoted by a temporal pronoun, precedes the evaluation time. Meanwhile, morphologically tenseless clauses lack a (...)
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  • Reichenbach, Prior and hybrid tense logic.Patrick Blackburn & Klaus Frovin Jørgensen - 2016 - Synthese 193 (11):3677-3689.
    In this paper we argue that Prior and Reichenbach are best viewed as allies, not antagonists. We do so by combining the central insights of Prior and Reichenbach in the framework of hybrid tense logic. This overcomes a well-known defect of Reichenbach’s tense schema, namely that it gives multiple representations to sentences in the future perfect and the future-in-the-past. It also makes it easy to define an iterative schema for tense that allows for multiple points of reference, a possibility noted (...)
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  • Arthur Prior and Hybrid Logic.Patrick Blackburn - 2006 - Synthese 150 (3):329-372.
    Contemporary hybrid logic is based on the idea of using formulas as terms, an idea invented and explored by Arthur Prior in the mid-1960s. But Prior’s own work on hybrid logic remains largely undiscussed. This is unfortunate, since hybridisation played a role that was both central to and problematic for his philosophical views on tense. In this paper I introduce hybrid logic from a contemporary perspective, and then examine the role it played in Prior’s work.
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  • Concealed causatives.Maria Bittner - 1999 - Natural Language Semantics 7 (1):1-78.
    Crosslinguistically, causative constructions conform to the following generalization: If the causal relation is syntactically concealed, then it is semantically direct. Concealed causatives span a wide syntactic spectrum, ranging from resultative complements in English to causative subjects in Miskitu. A unified type-driven theory is proposed which attributes the understood causal relation—and other elements of constructional meaning—to type lifting operations predictably licensed by type mismatch at LF. The proposal has far-reaching theoretical implications not only for the theory of compositionality and causation, but (...)
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  • Some problems concerning disposition concepts.Jan Berg - 1960 - Theoria 26 (1):3--16.
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  • Assertive graphs.F. Bellucci, D. Chiffi & A.-V. Pietarinen - 2018 - Journal of Applied Non-Classical Logics 28 (1):72-91.
    Peirce and Frege both distinguished between the propositional content of an assertion and the assertion of a propositional content, but with different notational means. We present a modification of Peirce’s graphical method of logic that can be used to reason about assertions in a manner similar to Peirce’s original method. We propose a new system of Assertive Graphs, which unlike the tradition that follows Frege involves no ad hoc sign of assertion. We show that axioms of intuitionistic logic can be (...)
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  • Welcome to functionalism.Elizabeth Bates & Brian MacWhinney - 1990 - Behavioral and Brain Sciences 13 (4):727-728.
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