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Models and reality

In Realism and reason. New York: Cambridge University Press. pp. 1-25 (1983)

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  1. A Kripkean argument for descriptivism.Jens Kipper & Zeynep Soysal - 2021 - Noûs 56 (3):654-669.
    In this paper, we offer a novel defense of descriptivism about reference. Our argument is based on principles about the relevance of speaker intentions to reference that are shared by many opponents of descriptivism, including Saul Kripke. We first show that two such principles that are plausibly endorsed by Kripke and other prominent externalists in fact entail descriptivism. The first principle states that when certain kinds of speaker intentions are present, they suffice to determine and explain reference. According to the (...)
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  • Categoricity by convention.Julien Murzi & Brett Topey - 2021 - Philosophical Studies 178 (10):3391-3420.
    On a widespread naturalist view, the meanings of mathematical terms are determined, and can only be determined, by the way we use mathematical language—in particular, by the basic mathematical principles we’re disposed to accept. But it’s mysterious how this can be so, since, as is well known, minimally strong first-order theories are non-categorical and so are compatible with countless non-isomorphic interpretations. As for second-order theories: though they typically enjoy categoricity results—for instance, Dedekind’s categoricity theorem for second-order and Zermelo’s quasi-categoricity theorem (...)
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  • Radical interpretation and decision theory.Anandi Hattiangadi & H. Orri Stefánsson - 2021 - Synthese 199 (3-4):6473-6494.
    This paper takes issue with an influential interpretationist argument for physicalism about intentionality based on the possibility of radical interpretation. The interpretationist defends the physicalist thesis that the intentional truths supervene on the physical truths by arguing that it is possible for a radical interpreter, who knows all of the physical truths, to work out the intentional truths about what an arbitrary agent believes, desires, and means without recourse to any further empirical information. One of the most compelling arguments for (...)
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  • Negation, expressivism, and intentionality.Alejandro Pérez Carballo - 2020 - Philosophical Quarterly 70 (279):246-267.
    Many think that expressivists have a special problem with negation. I disagree. For if there is a problem with negation, I argue, it is a problem shared by those who accept some plausible claims about the nature of intentionality. Whether there is any special problem for expressivists turns, I will argue, on whether facts about what truth-conditions beliefs have can explain facts about basic inferential relations among those beliefs. And I will suggest that the answer to this last question is, (...)
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  • Philosophy of Science: Interfaces between Logic and Knowledge Representation.Emma Ruttkamp - 2006 - South African Journal of Philosophy 25 (4):275-289.
    In this inaugural lecture I offer, against the background of a discussion of knowledge representation and its tools, an overview of my research in the philosophy of science. I defend a relational model-theoretic realism as being the appropriate meta-stance most congruent with the model-theoretic view of science as a form of human engagement with the world. Making use of logics with preferential semantics within a model-theoretic paradigm, I give an account of science as process and product. I demonstrate the power (...)
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  • Set-theoretic pluralism and the Benacerraf problem.Justin Clarke-Doane - 2020 - Philosophical Studies 177 (7):2013-2030.
    Set-theoretic pluralism is an increasingly influential position in the philosophy of set theory (Balaguer [1998], Linksy and Zalta [1995], Hamkins [2012]). There is considerable room for debate about how best to formulate set-theoretic pluralism, and even about whether the view is coherent. But there is widespread agreement as to what there is to recommend the view (given that it can be formulated coherently). Unlike set-theoretic universalism, set-theoretic pluralism affords an answer to Benacerraf’s epistemological challenge. The purpose of this paper is (...)
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  • Realism and the Absence of Value.Shamik Dasgupta - 2018 - Philosophical Review 127 (3):279-322.
    Much recent metaphysics is built around notions such as naturalness, fundamentality, grounding, dependence, essence, and others besides. In this article I raise a problem for this kind of metaphysics, the “problem of missing value.” I survey a number of possible solutions to the problem and find them all wanting. This suggests a return to a kind of Goodmanian view that the world is a structureless mess onto which we project our own categorizations, not something with categories already built in.
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  • Normative Reference Magnets.J. Robert G. Williams - 2018 - Philosophical Review 127 (1):41-71.
    The concept of moral wrongness, many think, has a distinctive kind of referential stability, brought out by moral twin earth cases. This article offers a new account of the source of this stability, deriving it from a metaphysics of content: “substantive” radical interpretation, and first-order normative assumptions. This story is distinguished from extant “reference magnetic” explanations of the phenomenon, and objections and replies are considered.
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  • Killing Kripkenstein's Monster.Jared Warren - 2020 - Noûs 54 (2):257-289.
    Here I defend dispositionalism about meaning and rule-following from Kripkenstein's infamous anti-dispositionalist arguments. The problems of finitude, error, and normativity are all addressed. The general lesson I draw is that Kripkenstein's arguments trade on an overly simplistic version of dispositionalism.
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  • Representational Scepticism: The Bubble Puzzle.J. Robert G. Williams - 2016 - Philosophical Perspectives 30 (1):419-442.
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  • A Metasemantic Challenge for Mathematical Determinacy.Jared Warren & Daniel Waxman - 2020 - Synthese 197 (2):477-495.
    This paper investigates the determinacy of mathematics. We begin by clarifying how we are understanding the notion of determinacy before turning to the questions of whether and how famous independence results bear on issues of determinacy in mathematics. From there, we pose a metasemantic challenge for those who believe that mathematical language is determinate, motivate two important constraints on attempts to meet our challenge, and then use these constraints to develop an argument against determinacy and discuss a particularly popular approach (...)
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  • Models and reality.Robert Stalnaker - 2016 - Canadian Journal of Philosophy 46 (4-5):709-726.
    Kripke models, interpreted realistically, have difficulty making sense of the thesis that there might have existed things that do not in fact exist, since a Kripke model in which this thesis is true requires a model structure in which there are possible worlds with domains that contain things that do not exist. This paper argues that we can use Kripke models as representational devices that allow us to give a realistic interpretation of a modal language. The method of doing this (...)
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  • Structure and Categoricity: Determinacy of Reference and Truth Value in the Philosophy of Mathematics.Tim Button & Sean Walsh - 2016 - Philosophia Mathematica 24 (3):283-307.
    This article surveys recent literature by Parsons, McGee, Shapiro and others on the significance of categoricity arguments in the philosophy of mathematics. After discussing whether categoricity arguments are sufficient to secure reference to mathematical structures up to isomorphism, we assess what exactly is achieved by recent ‘internal’ renditions of the famous categoricity arguments for arithmetic and set theory.
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  • An empirically feasible approach to the epistemology of arithmetic.Markus Pantsar - 2014 - Synthese 191 (17):4201-4229.
    Recent years have seen an explosion of empirical data concerning arithmetical cognition. In this paper that data is taken to be philosophically important and an outline for an empirically feasible epistemological theory of arithmetic is presented. The epistemological theory is based on the empirically well-supported hypothesis that our arithmetical ability is built on a protoarithmetical ability to categorize observations in terms of quantities that we have already as infants and share with many nonhuman animals. It is argued here that arithmetical (...)
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  • Realism and Behaviourism.Alan Weir - 1986 - Dialectica 40 (3):167-200.
    SummaryMany contemporary philosophers of language believe that realist metaphysics and a beha‐viouristic approach to language are incompatible, debate centring on which is to be given up. In this paper I argue that no incompatibility has been shown to exist. In the first section I attempt to give both a characterization of, and an argument for, behaviourism. Then I attempt to characterize realism more generally than is often done, evaluating the work of Dummett, Quine, Putnam and Wittgenstein, as recently interpreted, in (...)
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  • The Price of Inscrutability.J. R. G. Williams - 2008 - Noûs 42 (4):600 - 641.
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  • Mathematical representation: playing a role.Kate Hodesdon - 2014 - Philosophical Studies 168 (3):769-782.
    The primary justification for mathematical structuralism is its capacity to explain two observations about mathematical objects, typically natural numbers. Non-eliminative structuralism attributes these features to the particular ontology of mathematics. I argue that attributing the features to an ontology of structural objects conflicts with claims often made by structuralists to the effect that their structuralist theses are versions of Quine’s ontological relativity or Putnam’s internal realism. I describe and argue for an alternative explanation for these features which instead explains the (...)
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  • A Defense of Second-Order Logic.Otávio Bueno - 2010 - Axiomathes 20 (2-3):365-383.
    Second-order logic has a number of attractive features, in particular the strong expressive resources it offers, and the possibility of articulating categorical mathematical theories (such as arithmetic and analysis). But it also has its costs. Five major charges have been launched against second-order logic: (1) It is not axiomatizable; as opposed to first-order logic, it is inherently incomplete. (2) It also has several semantics, and there is no criterion to choose between them (Putnam, J Symbol Logic 45:464–482, 1980 ). Therefore, (...)
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  • Eligibility and inscrutability.J. Robert G. Williams - 2007 - Philosophical Review 116 (3):361-399.
    Inscrutability arguments threaten to reduce interpretationist metasemantic theories to absurdity. Can we find some way to block the arguments? A highly influential proposal in this regard is David Lewis’ ‘ eligibility ’ response: some theories are better than others, not because they fit the data better, but because they are framed in terms of more natural properties. The purposes of this paper are to outline the nature of the eligibility proposal, making the case that it is not ad hoc, but (...)
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  • Sider on existence.David Liebesman & Matti Eklund - 2007 - Noûs 41 (3):519–528.
    In (2001), (2003), and elsewhere, Ted Sider presents two arguments concerning the existential quantifier which are justly central to the recent discussion of metaontology. What we will call Sider's indeterminacy argument is an attempted reductio of the suggestion that the existential quantifier might be semantically indeterminate. What we will call Sider's naturalness argument is an argument for the claim that the semantic value of the existential quantifier is the most eligible existence-like meaning there is, à la David Lewis' eligibility theory (...)
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  • IX—How Is Metaphysics Possible?Nicholas F. Stang - 2023 - Proceedings of the Aristotelian Society 123 (3):231-252.
    In the Introduction to the Critique of Pure Reason Kant raises a famous question: how is metaphysics possible as a science? Kant posed this question for his predecessors in early modern philosophy. I raise this question anew for the resurgence of metaphysics within analytic philosophy. I begin by dividing the question of the possibility of metaphysics into separate questions about its semantic and epistemic possibility, and translate them into contemporary terms as: (1) Why do terms in metaphysical theories refer? (2) (...)
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  • Internal Categoricity, Truth and Determinacy.Martin Fischer & Matteo Zicchetti - 2023 - Journal of Philosophical Logic 52 (5):1295-1325.
    This paper focuses on the categoricity of arithmetic and determinacy of arithmetical truth. Several ‘internal’ categoricity results have been discussed in the recent literature. Against the background of the philosophical position called internalism, we propose and investigate truth-theoretic versions of internal categoricity based on a primitive truth predicate. We argue for the compatibility of a primitive truth predicate with internalism and provide a novel argument for (and proof of) a truth-theoretic version of internal categoricity and internal determinacy with some positive (...)
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  • A dilemma for dispositional answers to Kripkenstein’s challenge.Andrea Guardo - 2023 - Minds and Machines 33 (1):135-152.
    Kripkenstein’s challenge is usually described as being essentially about the use of a word in new kinds of cases ‒ the old kinds of cases being commonly considered as non-problematic. I show that this way of conceiving the challenge is neither true to Kripke’s intentions nor philosophically defensible: the Kripkean skeptic can question my answering “125” to the question “What is 68 plus 57?” even if that problem is one I have already encountered and answered. I then argue that once (...)
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  • The Metaphysics of gender is (Relatively) substantial.Kevin Richardson - 2022 - Philosophy and Phenomenological Research 107 (1):192-207.
    According to Sider, a question is metaphysically substantive just in case it has a single most natural answer. Recently, Barnes and Mikkola have argued that, given this notion of substantivity, many of the central questions in the metaphysics of gender are nonsubstantive. Specifically, it is plausible that gender pluralism—the view that there are multiple, equally natural gender kinds—is true, but this view seems incompatible with the substantivity of gender. The goal of this paper is to argue that the notion of (...)
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  • Conventionalism about mathematics and logic.Hartry Field - 2022 - Noûs 57 (4):815-831.
    Conventionalism about mathematics has much in common with two other views: fictionalism and the multiverse view (aka plenitudinous platonism). The three views may differ over the existence of mathematical objects, but they agree in rejecting a certain kind of objectivity claim about mathematics, advocating instead an extreme pluralism. The early parts of the paper will try to elucidate this anti‐objectivist position, and question whether conventionalism really offers a third form of it distinct from fictionalism and the multiverse view. The paper (...)
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  • Radical parochialism about reference.Will Gamester & J. Robert G. Williams - 2023 - Noûs 57 (3):600-617.
    We can use radically different reference‐schemes to generate the same truth‐conditions for the sentences of a language. In this paper, we do three things. (1) Distinguish two arguments that deploy this observation to derive different conclusions. The first argues that reference is radically indeterminate: there is no fact of the matter what ordinary terms refer to. This threat is taken seriously and most contemporary metasemantic theories come with resources intended to rebut it. The second argues for radical parochialism about reference: (...)
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  • The Putnam-Goodman-Kripke Paradox.Robert Kowalenko - 2022 - Acta Analytica 37 (4):575-594.
    The extensions of Goodman’s ‘grue’ predicate and Kripke’s ‘quus’ are constructed from the extensions of more familiar terms via a reinterpretation that permutes assignments of reference. Since this manoeuvre is at the heart of Putnam’s model-theoretic and permutation arguments against metaphysical realism (‘Putnam’s Paradox’), both Goodman’s New Riddle of Induction and the paradox about meaning that Kripke attributes to Wittgenstein are instances of Putnam’s. Evidence cannot selectively confirm the green-hypothesis and disconfirm the grue-hypothesis, because the theory of which the green-hypothesis (...)
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  • Bounded Responsibility and Bounded Ethics of Science and Technology.Günter Abel - 2020 - Axiomathes 30 (6):597-616.
    The leading question of this paper is: Where does the normativity of the ethics of science and technology come from? This is a challenging question given that the traditional reservoirs of convenience (like metaphysical universalism) are no longer at our disposal the way they used to be. The paper is divided into eight sections: (1) It is specified what challenges a non-foundationalist justification and normativity has to meet. (2) A three-dimensional conception of responsibility is developed based on the human triangular (...)
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  • The Plausibility and Significance of Underdetermination Arguments.Vikram S. Sirola & Abhishek Kashyap - 2019 - Journal of the Indian Council of Philosophical Research 36 (2):339-356.
    Underdetermination of theory choice claims that empirical evidence fails to provide sufficient grounds for choosing a theory over its rivals. We explore the epistemological and methodological significance of this thesis by utilising a classificatory scheme to situate three arguments that purport to establish its plausibility. Proponents of these three arguments, W.V.O Quine, John Earman, and Kyle Stanford, use different premises to arrive at the conclusion that theory choice is empirically underdetermined and their classification along the proposed schema brings out the (...)
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  • Review of: Hilary Putnam on Logic and Mathematics, by Geoffrey Hellman and Roy T. Cook (eds.). [REVIEW]Tim Button - 2019 - Mind 129 (516):1327-1337.
    Putnam’s most famous contribution to mathematical logic was his role in investigating Hilbert’s Tenth Problem; Putnam is the ‘P’ in the MRDP Theorem. This volume, though, focusses mostly on Putnam’s work on the philosophy of logic and mathematics. It is a somewhat bumpy ride. Of the twelve papers, two scarcely mention Putnam. Three others focus primarily on Putnam’s ‘Mathematics without foundations’ (1967), but with no interplay between them. The remaining seven papers apparently tackle unrelated themes. Some of this disjointedness would (...)
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  • Supertasks and Arithmetical Truth.Jared Warren & Daniel Waxman - 2020 - Philosophical Studies 177 (5):1275-1282.
    This paper discusses the relevance of supertask computation for the determinacy of arithmetic. Recent work in the philosophy of physics has made plausible the possibility of supertask computers, capable of running through infinitely many individual computations in a finite time. A natural thought is that, if supertask computers are possible, this implies that arithmetical truth is determinate. In this paper we argue, via a careful analysis of putative arguments from supertask computations to determinacy, that this natural thought is mistaken: supertasks (...)
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  • Quantifier Variance and Indefinite Extensibility.Jared Warren - 2017 - Philosophical Review 126 (1):81-122.
    This essay clarifies quantifier variance and uses it to provide a theory of indefinite extensibility that I call the variance theory of indefinite extensibility. The indefinite extensibility response to the set-theoretic paradoxes sees each argument for paradox as a demonstration that we have come to a different and more expansive understanding of ‘all sets’. But indefinite extensibility is philosophically puzzling: extant accounts are either metasemantically suspect in requiring mysterious mechanisms of domain expansion, or metaphysically suspect in requiring nonstandard assumptions about (...)
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  • Confronting Ideals of Proof with the Ways of Proving of the Research Mathematician.Norma B. Goethe & Michèle Friend - 2010 - Studia Logica 96 (2):273-288.
    In this paper, we discuss the prevailing view amongst philosophers and many mathematicians concerning mathematical proof. Following Cellucci, we call the prevailing view the “axiomatic conception” of proof. The conception includes the ideas that: a proof is finite, it proceeds from axioms and it is the final word on the matter of the conclusion. This received view can be traced back to Frege, Hilbert and Gentzen, amongst others, and is prevalent in both mathematical text books and logic text books.
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  • Fitch’s Paradox and Probabilistic Antirealism.Igor Douven - 2007 - Studia Logica 86 (2):149-182.
    Fitch’s paradox shows, from fairly innocent-looking assumptions, that if there are any unknown truths, then there are unknowable truths. This is generally thought to deliver a blow to antirealist positions that imply that all truths are knowable. The present paper argues that a probabilistic version of antirealism escapes Fitch’s result while still offering all that antirealists should care for.
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  • More on Putnam’s models: a reply to Belloti.Timothy Bays - 2007 - Erkenntnis 67 (1):119-135.
    In an earlier paper, I claimed that one version of Putnam's model-theoretic argument against realism turned on a subtle, but philosophically significant, mathematical mistake. Recently, Luca Bellotti has criticized my argument for this claim. This paper responds to Bellotti's criticisms.
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  • Putnam and Constructibility.Luca Bellotti - 2005 - Erkenntnis 62 (3):395-409.
    I discuss and try to evaluate the argument about constructible sets made by Putnam in ‘ ”Models and Reality”, and some of the counterarguments directed against it in the literature. I shall conclude that Putnam’s argument, while correct in substance, nevertheless has no direct bearing on the philosophical question of unintended models of set theory.
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  • (1 other version)Multiverse Conceptions in Set Theory.Carolin Antos, Sy-David Friedman, Radek Honzik & Claudio Ternullo - 2015 - Synthese 192 (8):2463-2488.
    We review different conceptions of the set-theoretic multiverse and evaluate their features and strengths. In Sect. 1, we set the stage by briefly discussing the opposition between the ‘universe view’ and the ‘multiverse view’. Furthermore, we propose to classify multiverse conceptions in terms of their adherence to some form of mathematical realism. In Sect. 2, we use this classification to review four major conceptions. Finally, in Sect. 3, we focus on the distinction between actualism and potentialism with regard to the (...)
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  • (1 other version)Mind and Supermind? Keith Frankish. [REVIEW]Josefa Toribio - 2007 - Philosophical Quarterly 57 (226):139-142.
    This is a review of Mind and Supermind. By KEITH FRANKISH. (Cambridge: Cambridge University Press, 2004. Pp xiv + 255. Price £45.00 (US $75.00). ISBN 0521 812038 (hardback).
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  • Abstract Singular Terms and Thin Reference.George Duke - 2012 - Theoria 78 (4):276-292.
    The prevailing approach to the problem of the ontological status of mathematical entities such as numbers and sets is to ask in what sense it is legitimate to ascribe a reference to abstract singular terms; those expressions of our language which, taken at face value, denote abstract objects. On the basis of this approach, neo‐Fregean Abstractionists such as Hale and Wright have argued that abstract singular terms may be taken to effect genuine reference towards objects, whereas nominalists such as Field (...)
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  • Semantic Challenges to Scientific Realism.Holger Andreas - 2011 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 42 (1):17 - 31.
    This paper is concerned with connections between scientific and metaphysical realism. It is not difficult to show that scientific realism, as expounded by Psillos (1999) clearly qualifies as a kind of metaphysical realism in the sense of Putnam (1980). The statement of scientific realism therefore must not only deal with underdetermination and the dynamics of scientific theories but also answer the semantic challenges to metaphysical realism. As will be argued, the common core of these challenges is the proposition that a (...)
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  • The Metamathematics of Putnam’s Model-Theoretic Arguments.Tim Button - 2011 - Erkenntnis 74 (3):321-349.
    Putnam famously attempted to use model theory to draw metaphysical conclusions. His Skolemisation argument sought to show metaphysical realists that their favourite theories have countable models. His permutation argument sought to show that they have permuted models. His constructivisation argument sought to show that any empirical evidence is compatible with the Axiom of Constructibility. Here, I examine the metamathematics of all three model-theoretic arguments, and I argue against Bays (2001, 2007) that Putnam is largely immune to metamathematical challenges.
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  • Towards a General Theory of Reduction. Part I: Historical and Scientific Setting.C. A. Hooker - 1981 - Dialogue 20 (1):38-59.
    The Three Papers comprising this series, together with my earlier [34] also published in this journal, constitute an attempt to set out the major issues in the theoretical domain of reduction and to develop a general theory of theory reduction. The fourth paper, [34], though published separately from this trio, is integral to the presentation and should be read in conjunction with these papers. Even so, the presentation is limited in scope – roughly, to intertheoretic reduction among empirical theories – (...)
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  • Abstract Entities in the Causal Order.M. J. Cresswell - 2010 - Theoria 76 (3):249-265.
    This article discusses the argument we cannot have knowledge of abstract entities because they are not part of the causal order. The claim of this article is that the argument fails because of equivocation. Assume that the “causal order” is concerned with contingent facts involving time and space. Even if the existence of abstract entities is not contingent and does not involve time or space it does not follow that no truths about abstract entities are contingent or involve time or (...)
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  • Some Uses of Logic in Rigorous Philosophy.Guillermo E. Rosado Haddock - 2010 - Axiomathes 20 (2-3):385-398.
    This paper is concerned with the use of logic to solve philosophical problems. Such use of logic goes counter to the prevailing empiricist tradition in analytic circles. Specifically, model-theoretic tools are applied to three fundamental issues in the philosophy of logic and mathematics, namely, to the issue of the existence of mathematical entities, to the dispute between first- and second-order logic and to the definition of analyticity.
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  • Inscrutability and ontological commitment.Berit Brogaard - 2008 - Philosophical Studies 141 (1):21 - 42.
    There are two doctrines for which Quine is particularly well known: the doctrine of ontological commitment and the inscrutability thesis—the thesis that reference and quantification are inscrutable. At first glance, the two doctrines are squarely at odds. If there is no fact of the matter as to what our expressions refer to, then it would appear that no determinate commitments can be read off of our best theories. We argue here that the appearance of a clash between the two doctrines (...)
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  • In Defense of Putnam’s Brains.Thomas Tymoczko - 1989 - Philosophical Studies 57 (3):281--97.
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  • The worlds of fiction and the worlds of science: A comparative study.Veikko Rantala & Liselotte Wiesenthal - 1989 - Synthese 78 (1):53 - 86.
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  • Appearances, antirealism, and Aristotle.Jack D. Davidson - 1991 - Philosophical Studies 63 (2):147 - 166.
    Nussbaum misconstrues the difference between Plato and Aristotle over what is real for a debate over a conception of truth. She seems to mistake Aristotle's arguments against Plato' version of realism as an argument against realism per se, though the texts do not permit such a reading. She claims Aristotle is convinced that realism involves a fatal “failure of reference,” yet she produces not a single text where Aristotle is even remotely concerned about such a failure of reference given the (...)
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  • A note on realism.Gregory Currie - 1982 - Philosophy of Science 49 (2):263-267.
    In a recent article G. H. Merrill has defended realism against an argument devised by Hilary Putnam. My first aim is to show that Merrill's defence is inadequate. I shall also argue that the proper conclusion of Putnam's argument is somewhat different from the conclusion Putnam himself offers.
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  • Reference Magnetism Does Not Exist.Jared Warren - 2024 - Erkenntnis 89 (7):2825-2833.
    In the last 35 years many philosophers have appealed to reference magnetism to explain how it is that we mean what we mean. The idea is that it is a constitutive principle of metasemantics that the interpretation that assigns the more natural meanings is correct, _ceteris paribus_. Among other things, magnetism has been used to answer the challenges of grue and quus, Quine’s indeterminacy of translation argument, and Putnam’s model-theoretic argument against realism. Critics of magnetism have usually objected to the (...)
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