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  1. Authentic Speech and Insincerity.Elmar Unnsteinsson - 2023 - Journal of Philosophy 120 (10):550-576.
    Many theorists assume that a request is sincere if the speaker wants the addressee to perform the act requested. I argue that this assumption predicts an implausible mismatch between sincere assertions and sincere directives and needs to be revised. I present an alternative view, according to which directive utterances can only be sincere if they are self-directed. Other-directed directives, however, can be genuine or fake, depending on whether the speaker wants the addressee to perform the act in question. Finally, I (...)
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  2. The «One over Many» Argument for Propositions.Esteban Withrington - 2023 - Contrastes: Revista Internacional de Filosofía 28 (1):61-79.
    The meanings of utterances and thoughts are commonly regarded in philosophical semantics as abstract objects, called «propositions», which account for how different utterances and thoughts can be synonymous and which constitute the primary truth-bearers. I argue that meanings are instead natural properties that play causal roles in the world, that the kind of «One over Many» thinking underlying the characterization of shared meanings as abstract objects is misguided and that utterances and thoughts having truth-values in virtue of their meanings does (...)
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  3. Ontology and Arbitrariness.David Builes - 2022 - Australasian Journal of Philosophy 100 (3):485-495.
    In many different ontological debates, anti-arbitrariness considerations push one towards two opposing extremes. For example, in debates about mereology, one may be pushed towards a maximal ontology (mereological universalism) or a minimal ontology (mereological nihilism), because any intermediate view seems objectionably arbitrary. However, it is usually thought that anti-arbitrariness considerations on their own cannot decide between these maximal or minimal views. I will argue that this is a mistake. Anti-arbitrariness arguments may be used to motivate a certain popular thesis in (...)
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  4. Immanence in Abundance.Chad Carmichael - 2022 - Erkenntnis 89 (4):1535-1553.
    In this paper, I develop a theory on which each of a thing’s abundant properties is immanent in that thing. On the version of the theory I will propose, universals are abundant, each instantiated universal is immanent, and each uninstantiated universal is such that it could have been instantiated, in which case it would have been immanent. After setting out the theory, I will defend it from David Lewis’s argument that such a combination of immanence and abundance is absurd. I (...)
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  5. Identity and Aboutness.Benjamin Brast-McKie - 2021 - Journal of Philosophical Logic 50 (6):1471-1503.
    This paper develops a theory of propositional identity which distinguishes necessarily equivalent propositions that differ in subject-matter. Rather than forming a Boolean lattice as in extensional and intensional semantic theories, the space of propositions forms a non-interlaced bilattice. After motivating a departure from tradition by way of a number of plausible principles for subject-matter, I will provide a Finean state semantics for a novel theory of propositions, presenting arguments against the convexity and nonvacuity constraints which Fine (2016, 2017a,b) introduces. I (...)
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  6. (1 other version)Walter Burley on Negative Propositions, in: «Archives d'histoire doctrinale et littéraire du moyen âge» 88 (2021), pp. 41-63.Chiara Paladini - 2021 - Archives d'Histoire Doctrinale et Littéraire du Moyen Âge 88 (2021):41-63.
    The basic principle of all realist theories of truth developed in the 13th and 14th centuries was that a proposition is true if and only if it tells us how things are in reality. Walter Burley (1275-1344) interpreted this principle in a more radical way than 13th-century realists did. Burley, in fact, proposed a strong correspondence theory, in which there is a strict biunique correspondence between linguistic and extra-linguistic elements. Now, if the principle of correspondence can be applied to Burley (...)
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  7. New Foundations (Natural Language as a Complex System, or New Foundations for Philosophical Semantics, Epistemology and Metaphysics, Based on the Process-Socio-Environmental Conception of Linguistic Meaning and Knowledge).Gustavo Picazo - 2021 - Journal of Research in Humanities and Social Science 9 (6):33–44.
    In this article, I explore the consequences of two commonsensical premises in semantics and epistemology: (1) natural language is a complex system rooted in the communal life of human beings within a given environment; and (2) linguistic knowledge is essentially dependent on natural language. These premises lead me to emphasize the process-socio-environmental character of linguistic meaning and knowledge, from which I proceed to analyse a number of long-standing philosophical problems, attempting to throw new light upon them on these grounds. In (...)
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  8. Aboutness Paradox.Giorgio Sbardolini - 2021 - Journal of Philosophy 118 (10):549-571.
    The present work outlines a logical and philosophical conception of propositions in relation to a group of puzzles that arise by quantifying over them: the Russell-Myhill paradox, the Prior-Kaplan paradox, and Prior's Theorem. I begin by motivating an interpretation of Russell-Myhill as depending on aboutness, which constrains the notion of propositional identity. I discuss two formalizations of of the paradox, showing that it does not depend on the syntax of propositional variables. I then extend to propositions a modal predicative response (...)
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  9. Higher‐order metaphysics.Lukas Skiba - 2021 - Philosophy Compass 16 (10):1-11.
    Subverting a once widely held Quinean paradigm, there is a growing consensus among philosophers of logic that higher-order quantifiers (which bind variables in the syntactic position of predicates and sentences) are a perfectly legitimate and useful instrument in the logico-philosophical toolbox, while neither being reducible to nor fully explicable in terms of first-order quantifiers (which bind variables in singular term position). This article discusses the impact of this quantificational paradigm shift on metaphysics, focussing on theories of properties, propositions, and identity, (...)
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  10. ______ is Necessary for Interpreting a Proposition.Marc Champagne - 2019 - Chinese Semiotic Studies 15 (1):39–48.
    In Natural propositions (2014), Stjernfelt contends that the interpretation of a proposition or dicisign requires the joint action of two kinds of signs. A proposition must contain a sign that conveys a general quality. This function can be served by a similarity-based icon or code-based symbol. In addition, a proposition must situate or apply this general quality, so that the predication can become liable of being true or false. This function is served by an index. Stjernfelt rightly considers the co-localization (...)
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  11. Do Divine Conceptualist Accounts Fail?Greg Welty - 2019 - Philosophia Christi 21 (2):255-266.
    William Lane Craig’s God over All argues against the kind of “divine conceptualism” about abstract objects which I defend. In this conference presentation I note several points of agreement with and appreciation for Craig’s important work. I then turn to five points of critique and response pertaining to: the sovereignty-aseity intuition, the reality of false propositions, God’s having “inappropriate” thoughts, propositions being purely private and incommunicable, and a consistent view of God’s own ontological commitments. I conclude by summarizing our two (...)
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  12. Adding 4.0241 to TLP.Franz Berto - 2018 - In Gabriele Mras, Paul Weingartner & Bernhard Ritter (eds.), Philosophy of Logic and Mathematics: Proceedings of the 41st International Ludwig Wittgenstein Symposium. Berlin, Boston: De Gruyter. pp. 415-428.
    Tractatus 4.024 inspired the dominant semantics of our time: truth-conditional semantics. Such semantics is focused on possible worlds: the content of p is the set of worlds where p is true. It has become increasingly clear that such an account is, at best, defective: we need an ‘independent factor in meaning, constrained but not determined by truth-conditions’ (Yablo 2014, p. 2), because sentences can be differently true at the same possible worlds. I suggest a missing comment which, had it been (...)
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  13. Meaning underdetermines what is said, therefore utterances express many propositions.Thomas Hodgson - 2018 - Dialectica 72 (2):165-189.
    Linguistic meaning underdetermines what is said. This has consequences for philosophical accounts of meaning, communication, and propositional attitude reports. I argue that the consequence we should endorse is that utterances typically express many propositions, that these are what speakers mean, and that the correct semantics for attitude reports will handle this fact while being relational and propositional.
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  14. Propositions Supernaturalized.Lorraine Juliano Keller - 2018 - In J. Walls & T. Dougherty (eds.), Two Dozen (or so) Arguments for God. New York, New York: Oxford University Press. pp. 11-28.
    The Theistic Argument from Intentionality (TAI) is a venerable argument for the existence of God from the existence of eternal truths. The argument relies, inter alia, on the premises that (i) truth requires representation, and that (ii) non-derivative representation is a function of, and only of, minds. If propositions are the fundamental bearers of truth and falsity, then these premises entail that propositions (or at least their representational properties) depend on minds. Although it is widely thought that psychologism—the view that (...)
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  15. Arbitrary reference, numbers, and propositions.Michele Palmira - 2018 - European Journal of Philosophy 26 (3):1069-1085.
    Reductionist realist accounts of certain entities, such as the natural numbers and propositions, have been taken to be fatally undermined by what we may call the problem of arbitrary identification. The problem is that there are multiple and equally adequate reductions of the natural numbers to sets (see Benacerraf, 1965), as well as of propositions to unstructured or structured entities (see, e.g., Bealer, 1998; King, Soames, & Speaks, 2014; Melia, 1992). This paper sets out to solve the problem by canvassing (...)
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  16. Why is There Something Rather Than Nothing? A Probabilistic Answer Examined.Gonzalo Rodriguez-Pereyra - 2018 - Philosophy 93 (4):505-521.
    Peter van Inwagen has given an answer to the question ‘Why is there something rather than nothing?’. His answer is: Because there being nothing is as improbable as anything can be: it has probability 0. Here I shall examine his argument for this answer and I shall argue that it does not work because no good reasons have been given for two of the argument’s premises and that the conclusion of the argument does not constitute an answer to the question (...)
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  17. Truth, explanation, minimalism.Cory Wright - 2018 - Synthese 195 (3):987–1009.
    Minimalists about truth contend that traditional inflationary theories systematically fail to explain certain facts about truth, and that this failure licenses a ‘reversal of explanatory direction’. Once reversed, they purport that their own minimal theory adequately explains all of the facts involving truth. But minimalists’ main objection to inflationism seems to misfire, and the subsequent reversal of explanatory direction, if it can be made sense of, leaves minimalism in no better explanatory position; and even if the objection were serviceable and (...)
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  18. A unified non monstrous semantics for third person pronouns.Fabio Del Prete & Sandro Zucchi - 2017 - Semantics and Pragmatics 10.
    It is common practice in formal semantics to assume that the context specifies an assignment of values to variables and that the same variables that receive contextually salient values when they occur free may also be bound by quantifiers and λs. These assumptions are at work to provide a unified account of free and bound uses of third person pronouns, namely one by which the same lexical item is involved in both uses. One way to pursue this account is to (...)
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  19. Les attitudes russelliennes.Fabien Schang - 2017 - Cahiers de Philosophie de L’Université de Caen 54:149-168.
    Russell prétend qu’un examen des croyances est indispensable pour définir nos raisonnements quotidiens et comprendre ce que les philosophes entendent par la notion de vérité. Cela étant, l’auteur considère qu’une étude de ces croyances n’a aucun rapport avec la logique, laquelle concerne uniquement le vrai et le faux. En d’autres termes, Russell associe croyance et psychologie tout en réservant le domaine de la logique au thème de la proposition, vraie ou fausse par définition. Une certaine théorie de la vérité sous-tend (...)
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  20. The Situational Structure of Primate Beliefs.Tony Cheng - 2016 - Perspectives: International Postgraduate Journal of Philosophy 6 (1):50-57.
    This paper develops the situational model of primate beliefs from the Prior-Lurz line of thought. There is a strong skepticism concerning primate beliefs in the analytic tradition which holds that beliefs have to be propositional and non-human animals do not have them. The response offered in this paper is twofold. First, two arguments against the propositional model as applied to other animals are put forward: an a priori argument from referential opacity and an empirical argument from varieties of working memory. (...)
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  21. Speaks’s Reduction of Propositions to Properties: A Benacerraf Problem.T. Scott Dixon & Cody Gilmore - 2016 - Thought: A Journal of Philosophy 5 (3):275-284.
    Speaks defends the view that propositions are properties: for example, the proposition that grass is green is the property being such that grass is green. We argue that there is no reason to prefer Speaks's theory to analogous but competing theories that identify propositions with, say, 2-adic relations. This style of argument has recently been deployed by many, including Moore and King, against the view that propositions are n-tuples, and by Caplan and Tillman against King's view that propositions are facts (...)
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  22. About Oneself: De Se Thought and Communication.Manuel García-Carpintero & Stephan Torre (eds.) - 2016 - Oxford: Oxford University Press.
    Inspired by Castañeda (1966, 1968), Perry (1979) and Lewis (1979) showed that a specific variety of singular thoughts, thoughts about oneself “as oneself” – de se thoughts, as Lewis called them – raise special issues, and they advanced rival accounts. Their suggestive examples raise the problem of de se thought – to wit, how to characterize it so as to give an accurate account of the data, tracing its relations to singular thoughts in general. After rehearsing the main tenets of (...)
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  23. Attitudes Towards Objects.Alex Grzankowski - 2016 - Noûs 50 (2):314-328.
    This paper offers a positive account of an important but under-explored class of mental states, non-propositional attitudes such as loving one’s department, liking lattice structures, fearing Freddy Krueger, and hating Sherlock Holmes. In broadest terms, the view reached is a representationalist account guided by two puzzles. The proposal allows one to say in an elegant way what differentiates a propositional attitude from an attitude merely about a proposition. The proposal also allows one to offer a unified account of the non-propositional (...)
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  24. Reply to Bacon, Hawthorne and Uzquiano.Timothy Williamson - 2016 - Canadian Journal of Philosophy 46 (4-5):542-547.
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  25. Relativism 1: Representational Content.Max Kölbel - 2015 - Philosophy Compass 10 (1):38-51.
    In the pair of articles of which this is the first, I shall present a set of problems and philosophical proposals that have in recent years been associated with the term “relativism”. All these problems and proposals concern the question of how we should represent thought and speech about certain topics. The main issue here is whether we should model such mental states or linguistic acts as involving representational contents that are absolutely correct or incorrect, or whether, alternatively, their correctness (...)
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  26. Demythologizing the Third Realm: Frege on Grasping Thoughts.B. Scot Rousse - 2015 - Journal for the History of Analytical Philosophy 3 (1).
    In this paper, I address some puzzles about Frege’s conception of how we “grasp” thoughts. I focus on an enigmatic passage that appears near the end of Frege’s great essay “The Thought.” In this passage Frege refers to a “non-sensible something” without which “everyone would remain shut up in his inner world.” I consider and criticize Wolfgang Malzkorn’s interpretation of the passage. According to Malzkorn, Frege’s view is that ideas [Vorstellungen] are the means by which we grasp thoughts. My counter-proposal (...)
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  27. Review of Michael Ridge Impassioned Belief. [REVIEW]Andrew Alwood - 2014 - Notre Dame Philosophical Reviews 2014.
    A critical review of Michael Ridge's book Impassioned Belief.
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  28. Examination of Merricks' Primitivism about Truth.A. R. J. Fisher - 2014 - Metaphysica 15 (2):281-98.
    Trenton Merricks argues for and defends a novel version of primitivism about truth : being true is a primitive monadic but non-intrinsic property. This examination consists of the following triad: a critical discussion of Merricks’ argument for his view, a rejection of his objection against Paul Horwich’s minimalist theory of truth, and a direct objection against his view on the grounds that it entails being true is a mysterious and suspicious property. The conclusion is that Merricks’ primitivism should be rejected.
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  29. Non‐Propositional Attitudes.Alex Grzankowski - 2013 - Philosophy Compass 8 (12):1123-1137.
    Intentionality, or the power of minds to be about, to represent, or to stand for things, remains central in the philosophy of mind. But the study of intentionality in the analytic tradition has been dominated by discussions of propositional attitudes such as belief, desire, and visual perception. There are, however, intentional states that aren't obviously propositional attitudes. For example, Indiana Jones fears snakes, Antony loves Cleopatra, and Jane hates the monster under her bed. The present paper explores such mental states (...)
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  30. Propositions and Attitudinal Objects (Chapter 4 of Abstract Objects and the Semantics of Natural Language, OUP 2013).Friederike Moltmann - 2013 - Oxford: Oxford University Press.
    Propositions have played a central role in philosophy of language since Frege. I will argue that the notion of a proposition, because of a range of philosophical problems as well as problems of linguistic adequacy, should be replaced by a different notion, for almost all the roles for it has been invoked, namely by the notion of an attitudinal object. Attitudinal objects are entities like ‘John’s belief that S’, ‘John’s claim that S’, and ‘John’s desire to do X’. Attitudinal objects (...)
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  31. Hearing it rain - Millikan on language learning.Naomi Osorio-Kupferblum - 2013 - Beiträge der Österreichischen Ludwig Wittgenstein Gesellschaft 21.
    In her ‘Spracherwerb’(2012) Ruth Millikan gives a compelling account of language acquisition based on our ability to track objects. I argue that, and how, it is undermined by her insistence on equating understanding language utterances and sense perception, point to idealist hazards, and plead against propositionality and for imagism in order to safeguard the account’s important potential for giving a comprehensive explication of meaning.
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  32. Domains, plural truth, and mixed atomic propositions.Jeremy Wyatt - 2013 - Philosophical Studies 166 (S1):225-236.
    In this paper, I discuss two concerns for pluralist truth theories: a concern about a key detail of these theories and a concern about their viability. The detail-related concern is that pluralists have relied heavily upon the notion of a domain, but it is not transparent what they take domains to be. Since the notion of a domain has been present in philosophy for some time, it is important for many theorists, not only truth pluralists, to be clear on what (...)
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  33. Propositions and same-saying: introduction.Rachael Briggs & Mark Jago - 2012 - Synthese 189 (1):1-10.
    Philosophers often talk about the things we say, or believe, or think, or mean. The things are often called ‘propositions’. A proposition is what one believes, or thinks, or means when one believes, thinks, or means something. Talk about propositions is ubiquitous when philosophers turn their gaze to language, meaning and thought. But what are propositions? Is there a single class of things that serve as the objects of belief, the bearers of truth, and the meanings of utterances? How do (...)
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  34. Truth-Bearers and the Unsaid.Stephen Barker - 2011 - In Ken Turner (ed.), Making Semantics Pragmatic. Emerald Group Publishing.
    I argue that conventional implicatures embed in logical compounds, and are non-truth-conditional contributors to sentence meaning. This, I argue has significant implications for how we understand truth, truth-conditional content, and truth-bearers.
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  35. Russell on substitutivity and the abandonment of propositions.Ian Proops - 2011 - Philosophical Review 120 (2):151-205.
    The paper argues that philosophers commonly misidentify the substitutivity principle involved in Russell’s puzzle about substitutivity in “On Denoting”. This matters because when that principle is properly identified the puzzle becomes considerably sharper and more interesting than it is often taken to be. This article describes both the puzzle itself and Russell's solution to it, which involves resources beyond the theory of descriptions. It then explores the epistemological and metaphysical consequences of that solution. One such consequence, it argues, is that (...)
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  36. A deflationary theory of reference.Arvid Båve - 2009 - Synthese 169 (1):51 - 73.
    The article first rehearses three deflationary theories of reference, (1) disquotationalism, (2) propositionalism (Horwich), and (3) the anaphoric theory (Brandom), and raises a number of objections against them. It turns out that each corresponds to a closely related theory of truth, and that these are subject to analogous criticisms to a surprisingly high extent. I then present a theory of my own, according to which the schema “That S(t) is about t” and the biconditional “S refers to x iff S (...)
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  37. Building on Sellars: Concept Formation and Scientific Realism. [REVIEW]Tanya Kelley - 2008 - Metascience 17 (2):257-259.
    Harold Brown has written an ambitious work, which traces the formation of concepts in individuals and cultures, examines case studies of concepts in calculus, mathematics, biology and related fields, summarises important philosophical works on the theory of concepts, and seeks to reconcile scientific realism with conceptual change. Brown considers himself a scientific realist but concedes that this very label is one that depends on a long history of concepts that came before, and may indeed be superseded as conceptual change continues. (...)
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  38. Semantics without the distinction between sense and force.Stephen J. Barker - 2007 - In Savas L. Tsohatzidis (ed.), John Searle's Philosophy of Language: Force, Meaning and Mind. Cambridge University Press. pp. 190-210.
    At the heart of semantics in the 20th century is Frege’s distinction between sense and force. This is the idea that the content of a self-standing utterance of a sentence S can be divided into two components. One part, the sense, is the proposition that S’s linguistic meaning and context associates with it as its semantic interpretation. The second component is S’s illocutionary force. Illocutionary forces correspond to the three basic kinds of sentential speech acts: assertions, orders, and questions. Forces (...)
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  39. Ockham on Judgment, Concepts, and the Problem of Intentionality.Susan Brower-Toland - 2007 - Canadian Journal of Philosophy 37 (1):67-110.
    In this paper I examine William Ockham’s theory of judgment and, in particular, his account of the nature and ontological status of its objects. Commentators, both past and present, habitually interpret Ockham as defending a kind of anti-realism about objects of judgment. My aim in this paper is two-fold. The first is to show that the traditional interpretation rests on a failure to appreciate the ways in which Ockham’s theory of judgment changes over the course of his career. The second, (...)
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  40. Propositions and counterpart theory.Cian Dorr - 2005 - Analysis 65 (3):210–218.
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  41. Are there propositions?Andrea Iacona - 2003 - Erkenntnis 58 (3):325 - 351.
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  42. Propositional Attitudes in Modern Philosophy.Walter Ott - 2002 - Dialogue 41 (3):551-568.
    Philosophers of the modern period are often presented as having made an elementary error: that of confounding the attitude one adopts toward a proposition with its content. By examining the works of Locke and the Port-Royalians, I show that this accusation is ill-founded and that Locke, in particular, has the resources to construct a theory of propositional attitudes.
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  43. Toward a New Theory of Content.George Bealer - 1994 - In Roberto Casati & Barry Smith (eds.), Philosophy and Cognitive Sciences: Proceedings of the 16th International Wittgenstein Symposium (Kirchberg Am Wechsel, Austria 1993). Vienna: Wien: Hölder-Pichler-Tempsky. pp. 179-92.
    The purpose of this paper is to lay out the algebraic approach to propositions and then to show how it can be implemented in new solutions to Frege's puzzle and a variety of related puzzles about content.
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  44. Universals.George Bealer - 1993 - Journal of Philosophy 90 (1):5-32.
    Presented here is an argument for the existence of universals. Like Church's translation- test argument, the argument turns on considerations from intensional logic. But whereas Church's argument turns on the fine-grained informational content of intensional sentences, this argument turns on the distinctive logical features of 'that'-clauses embedded within modal contexts. And unlike Church's argument, this argument applies against truth-conditions nominalism and also against conceptualism and in re realism. So if the argument is successful, it serves as a defense of full (...)
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  45. Numbers and Propositions: Reply to Melia.Tim Crane - 1992 - Analysis 52 (4):253-256.
    Is the way we use propositions to individuate beliefs and other intentional states analogous to the way we use numbers to measure weights and other physical magnitudes? In an earlier paper [2], I argued that there is an important disanalogy. One and the same weight can be 'related to' different numbers under different units of measurement. Moreover, the choice of a unit of measurement is arbitrary,in the sense that which way we choose doesn't affect the weight attributed to the object. (...)
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  46. Belief ascription, metaphor, and intensional identification.Afzal Ballim, Yorick Wilks & John Barnden - 1991 - Cognitive Science 15 (1):133-171.
    This article discusses the extension of ViewGen, an algorithm derived for belief ascription, to the areas of intensional object identification and metaphor. ViewGen represents the beliefs of agents as explicit, partitioned proposition sets known as environments. Environments are convenient, even essential, for addressing important pragmatic issues of reasoning. The article concentrates on showing that the transformation of information in metaphors, intensional object identification, and ordinary, nonmetaphorical belief ascription can all be seen as different manifestations of a single environment-amalgamation process. The (...)
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  47. An Alleged Analogy Between Numbers and Propositions.Tim Crane - 1990 - Analysis 50 (4):224-230.
    A Commonplace of recent philosophy of mind is that intentional states are relations between thinkers and propositions. This thesis-call it the 'Relational Thesis'-does not depend on any specific theory of propositions. One can hold it whether one believes that propositions are Fregean Thoughts, ordered n-tuples of objects and properties or sets of possible worlds. An assumption that all these theories of propositions share is that propositions are abstract objects, without location in space or time...
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  48. Fine-Grained Type-Free Intensionality.George Bealer - 1989 - In Gennero Chierchia, Barbara H. Partee & Raymond Turner (eds.), Properties, Types, and Meaning, Volume 1. Kluwer Academic Publishers. pp. 177-230.
    Commonplace syntactic constructions in natural language seem to generate ontological commitments to a dazzling array of metaphysical categories - aggregations, sets, ordered n-tuples, possible worlds, intensional entities, ideal objects, species, intensive and extensive quantities, stuffs, situations, states, courses of events, nonexistent objects, intentional and discourse objects, general objects, plural objects, variable objects, arbitrary objects, vague kinds and concepts, fuzzy sets, and so forth. But just because a syntactic construction in some natural language appears to invoke a new category of entity, (...)
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  49. On the identification of properties and propositional functions.George Bealer - 1989 - Linguistics and Philosophy 12 (1):1 - 14.
    Arguments are given against the thesis that properties and propositional functions are identical. The first shows that the familiar extensional treatment of propositional functions -- that, for all x, if f(x) = g(x), then f = g -- must be abandoned. Second, given the usual assumptions of propositional-function semantics, various propositional functions (e.g., constant functions) are shown not to be properties. Third, novel examples are given to show that, if properties were identified with propositional functions, crucial fine-grained intensional distinctions would (...)
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  50. Completeness in the theory of properties, relations, and propositions.George Bealer - 1983 - Journal of Symbolic Logic 48 (2):415-426.
    Higher-order theories of properties, relations, and propositions are known to be essentially incomplete relative to their standard notions of validity. It turns out that the first-order theory of PRPs that results when first-order logic is supplemented with a generalized intensional abstraction operation is complete. The construction involves the development of an intensional algebraic semantic method that does not appeal to possible worlds, but rather takes PRPs as primitive entities. This allows for a satisfactory treatment of both the modalities and the (...)
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