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The ways of paradox

New York,: Random (1966)

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  1. Epistemology and Justifying the Curriculum of Educational Studies.J. C. Walker & C. W. Evers - 1982 - British Journal of Educational Studies 30 (2):213 - 229.
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  • The extent of metaphysical necessity.Daniel Nolan - 2011 - Philosophical Perspectives 25 (1):313-339.
    A lot of philosophers engage in debates about what claims are “metaphysically necessary”, and a lot more assume with little argument that some classes of claims have the status of “metaphysical necessity”. I think we can usefully replace questions about metaphysical necessity with five other questions which each capture some of what people may have had in mind when talking about metaphysical necessity. This paper explains these five other questions, and then discusses the question “how much of metaphysics is metaphysically (...)
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  • Why are (some) Platonists so insouciant?William Lane Craig - 2011 - Philosophy 86 (2):213-229.
    Some platonists truly agonize over the ontological commitments which their platonism demands of them. Peter van Inwagen, for example, confesses candidly,I am happy to admit that I am uneasy about believing in the existence of ‘causally irrelevant’ objects. The fact that abstract objects, if they exist, can be neither causes or [sic] effects is one of the many features of abstract objects that make nominalism so attractive. I should very much like to be a nominalist, but I don't see how (...)
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  • Observation.Bredo C. Johnsen - 2013 - In Ernie Lepore & Gilbert Harman (eds.), A Companion to W. V. O. Quine. Wiley-Blackwell. pp. 333–349.
    Ernie Lepore: Quine, Analyticity, and Transcendence: In “Two Dogmas of Empiricism” Quine characterizes and rejects three approaches to making sense of analyticity. One approach attempts to reduce putative analytic statements to logical truths by synonym substitution. A second approach is to identify analytic statements with “semantic rules,” or “meaning postulates.” A third approach relies on the verificationist theory of meaning. According to that theory, “every meaningful statement is held to be translatable into a statement (true or false) about immediate experience, (...)
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  • Merit Transference and the Paradox of Merit Inflation.Matthew Hammerton - forthcoming - Journal of Value Inquiry.
    Many ethical systems hold that agents earn merit and demerit through their good and bad deeds. Some of these ethical systems also accept merit transference, allowing merit to be transferred, in certain circumstances, from one agent to another. In this article, I argue that there is a previously unrecognized paradox for merit transference involving a phenomenon I call “merit inflation”. With a particular focus on Buddhist ethics, I then look at the options available for resolving this paradox. I conclude that (...)
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  • The Making of a New Cosmopolitanism.Torill Strand - 2010 - Studies in Philosophy and Education 29 (2):229-242.
    This article draws attention to the contemporary mantra of cosmopolitanism and how it carries altered symbolic representations, new social images and epistemic shifts. The background is the current cosmopolitan turn within the sciences, including within the discipline of education. How can we understand the contemporary makings of this new cosmopolitanism? And what could be the potential pitfalls and possibilities of a discourse that jeopardises the very representations of the social world? The first part of the article portrays the new cosmopolitanism (...)
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  • On Naturalizing the Epistemology of Mathematics.Jeffrey W. Roland - 2009 - Pacific Philosophical Quarterly 90 (1):63-97.
    In this paper, I consider an argument for the claim that any satisfactory epistemology of mathematics will violate core tenets of naturalism, i.e. that mathematics cannot be naturalized. I find little reason for optimism that the argument can be effectively answered.
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  • Dynamic Formal Epistemology.Patrick Girard, Olivier Roy & Mathieu Marion (eds.) - 2010 - Berlin, Germany: Springer.
    This volume is a collation of original contributions from the key actors of a new trend in the contemporary theory of knowledge and belief, that we call “dynamic epistemology”. It brings the works of these researchers under a single umbrella by highlighting the coherence of their current themes, and by establishing connections between topics that, up until now, have been investigated independently. It also illustrates how the new analytical toolbox unveils questions about the theory of knowledge, belief, preference, action, and (...)
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  • Philosophical Investigation Series: Selected Texts on Metaphysics, Language and Mind / Série Investigação Filosófica: Textos Selecionados de Metafísica, Linguagem e Mente.Rodrigo Cid & Pedro Merlussi (eds.) - 2020 - Pelotas: Editora da UFPel / NEPFIL Online.
    Um dos grandes desafios da era da informação consiste em filtrar informações claras, rigorosas e atualizadas sobre tópicos importantes. O mesmo vale para a filosofia. Como encontrar conteúdo filosófico confiável em meio a milhares de artigos publicados diariamente na internet? Para ir ainda mais longe, como encontrar uma introdução a algum tópico com uma lista de referências bibliográficas atualizadas e que seja organizada por um especialista da área? Já que você começou a ler este livro, é provável que tenha ouvido (...)
     
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  • Frege on Absolute and Relative Truth: An Introduction to the Practice of Interpreting Philosophical Texts.Ulrich Pardey - 2012 - New York: Palgrave Macmillan.
    This book has two objectives: to be a contribution to the understanding of Frege's theory of truth – especially a defence of his notorious critique of the correspondence theory - and to be an introduction to the practice of interpreting philosophical texts.
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  • From the middle out.Patrick A. Woods - 2007 - Sophia 46 (1):35-48.
    Agnosticism has been largely passed over in the literature on Theism. This paper lays out an affirmative case for the agnostic position. Tapping into the classical arguments about the paradoxical qualities of ‘omni’ principles it argues that the agnostic position is ultimately more tenable than either Theism or Atheism. In the first part it regards the paradoxes of omnipotence and their replies strictly logically, declaring them to be true antimonies. In the second part it argues that classic arguments for belief (...)
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  • A psychological theory of reasoning as logical evidence: a Piagetian perspective.M. A. Winstanley - 2021 - Synthese 199 (3-4):10077-10108.
    Many contemporary logicians acknowledge a plurality of logical theories and accept that theory choice is in part motivated by logical evidence. However, just as there is no agreement on logical theories, there is also no consensus on what constitutes logical evidence. In this paper, I outline Jean Piaget’s psychological theory of reasoning and show how he used it to diagnose and solve one of the paradoxes of material implication. I assess Piaget’s use of psychology as a source of evidence for (...)
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  • Against simplicity.M. B. Willard - 2014 - Philosophical Studies 167 (1):165-181.
    Sometimes metaphysicians appeal to simplicity as a reason to prefer one metaphysical theory to another, especially when a philosophical dispute has otherwise reached a state of equilibrium. In this paper, I show that given a Quinean conception of metaphysics, several initially plausible justifications for simplicity as a metaphysical criterion do not succeed. If philosophers wish to preserve simplicity as a metaphysical criterion, therefore, they must radically reconceive the project of metaphysics.
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  • No Surprises.Ian Wells - 2019 - Erkenntnis 86 (2):389-406.
    The surprise exam paradox is an apparently sound argument to the apparently absurd conclusion that a surprise exam cannot be given within a finite exam period. A closer look at the logic of the paradox shows the argument breaking down immediately. So why do the beginning stages of the argument appear sound in the first place? This paper presents an account of the paradox on which its allure is rooted in a common probabilistic mistake: the base rate fallacy. The account (...)
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  • Epistemology and justifying the curriculum of educational studies.J. C. Walker & C. W. Evers - 1982 - British Journal of Educational Studies 30 (2):213-229.
  • Quine’s Substitutional Definition of Logical Truth and the Philosophical Significance of the Löwenheim-Hilbert-Bernays Theorem.Henri Wagner - 2018 - History and Philosophy of Logic 40 (2):182-199.
    The Löwenheim-Hilbert-Bernays theorem states that, for an arithmetical first-order language L, if S is a satisfiable schema, then substitution of open sentences of L for the predicate letters of S...
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  • Logical compulsion and necessity.Robert Wachbroit - 1987 - Erkenntnis 26 (1):45 - 56.
  • The indeterminacy paradox: Character evaluations and human psychology.Peter B. M. Vranas - 2005 - Noûs 39 (1):1–42.
    You may not know me well enough to evaluate me in terms of my moral character, but I take it you believe I can be evaluated: it sounds strange to say that I am indeterminate, neither good nor bad nor intermediate. Yet I argue that the claim that most people are indeterminate is the conclusion of a sound argument—the indeterminacy paradox—with two premises: (1) most people are fragmented (they would behave deplorably in many and admirably in many other situations); (2) (...)
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  • Quine's Argument from Despair.Sander Verhaegh - 2014 - British Journal for the History of Philosophy 22 (1):150-173.
    Quine's argument for a naturalized epistemology is routinely perceived as an argument from despair: traditional epistemology must be abandoned because all attempts to deduce our scientific theories from sense experience have failed. In this paper, I will show that this picture is historically inaccurate and that Quine's argument against first philosophy is considerably stronger and subtler than the standard conception suggests. For Quine, the first philosopher's quest for foundations is inherently incoherent; the very idea of a self-sufficient sense datum language (...)
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  • Quantification substitutionnelle, contextes intensionnels et question d'existence.Denis Vernant - 1986 - Dialectica 40 (4):273-296.
    RésuméL'interprétation substitutionnelle de la quantification impose une redéfinition des principaux concepts du calcul logique.Son intérêt majeur réside dans le fait qu'elle permet d'esquisser une théorie de l'intensionnalité qui lève les difficultés résultant du traitement logique des contextes de modalité, de croyance et de citation.Pour autant, on ne saurait éluder la traditionnelle question de la référence et de l'existence. Celle‐ci relève maintenant d'une construction sémantique de modèles.SummaryThe substitutional interpretation of quantification modifies the main concepts of logical calculus.Its principal interest lies in (...)
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  • Les paradoxes i la filosofia: tres visions contemporànies.Jordi Valor Abad - 2015 - Quaderns de Filosofia 2 (2):57-88.
    A paradox is usually described as an apparently false statement supported by an apparently good argument which departs from premises that most people would find trivially true. This survey article presents a brief overview of three different contemporary perspectives on paradoxes. According to the epistemic view, paradoxes play a crucial role in the progress of science and cannot be regarded as sound proofs of a false statement. According to the dialetheist view, the conclusion of some paradoxical reasonings is both, true (...)
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  • Mathematical Perspectives on Liar Paradoxes.José-Luis Usó-Doménech, Josué-Antonio Nescolarde-Selva, Lorena Segura-Abad, Kristian Alonso-Stenberg & Hugh Gash - 2021 - Logica Universalis 15 (3):251-269.
    The liar paradox is a famous and ancient paradox related to logic and philosophy. It shows it is perfectly possible to construct sentences that are correct grammatically and semantically but that cannot be true or false in the traditional sense. In this paper the authors show four approaches to interpreting paradoxes that illustrate the influence of: the levels of language, their belonging to indeterminate compatible propositions or indeterminate propositions, being based on universal antinomy and the theory of dialetheism.
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  • Reconciling justificatory internalism and content externalism.Chris Tillman - 2012 - Synthese 187 (2):419-440.
    At first pass, internalism about justification is the view that there is no justificatory difference without an internal difference. Externalism about mental content is the view that there are differences in mental content without an internal difference. Assuming mental contents are the primary bearers of justificatory features, the two views are in obvious tension. The goal of this paper is to determine how the tension is best resolved. The paper proceeds as follows. In §1 I explain the threat to justificatory (...)
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  • Katz’s revisability paradox dissolved.Allard Tamminga & Sander Verhaegh - 2013 - Australasian Journal of Philosophy 91 (4):771-784.
    Quine's holistic empiricist account of scientific inquiry can be characterized by three constitutive principles: *noncontradiction*, *universal revisability* and *pragmatic ordering*. We show that these constitutive principles cannot be regarded as statements within a holistic empiricist's scientific theory of the world. This claim is a corollary of our refutation of Katz's [1998, 2002] argument that holistic empiricism suffers from what he calls the Revisability Paradox. According to Katz, Quine's empiricism is incoherent because its constitutive principles cannot themselves be rationally revised. Using (...)
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  • Modality in Language.Eric Swanson - 2008 - Philosophy Compass 3 (6):1193-1207.
    This article discusses some of the ways in which natural language can express modal information – information which is, to a first approximation, about what could be or must be the case, as opposed to being about what actually is the case. It motivates, explains, and raises problems for Angelika Kratzer's influential theory of modal auxiliaries, and introduces a new approach to one important debate about the relationships between modality, evidentiality, context change, and imperative force.
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  • Absolute probability in small worlds: A new paradox in probability theory.Norman Swartz - 1973 - Philosophia 3 (2-3):167-178.
    For a finite universe of discourse, if Φ → and ~(Ψ → Φ) , then P(Ψ) > P(Φ), i.e., there is always a loss of information, there is an increase in probability, in a non reversible implication. But consider the two propositions, "All ravens are black", (i.e., "(x)(Rx ⊃ Bx)"), and "Some ravens are black" (i.e., "(∃x)(Rx & Bx)"). In a world of one individual, called "a", these two propositions are equivalent to "~Ra ∨ Ba" and "Ra & Ba" respectively. (...)
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  • The Cosmopolitan Turn. Recasting 'dialogue' and 'difference'.Torill Strand - 2010 - Paideusis: Journal of the Canadian Philosophy of Education Society 19 (1):49 - 58.
    This paper draws attention to the potential pitfalls and possibilities of a new cosmopolitanism. The first part of the paper briefly portrays cosmopolitanism as a name and metaphor for a way of life, an ideal and an outlook. The second part, however, discloses a paradoxical attribution of the metaphor, revealing the ways in which it assumes something which it is not. The third part of the paper further explores the powers of this paradox, arguing that the new cosmopolitanism can be (...)
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  • Belief And The Principle Of Identity.Cara Spencer - 2001 - Synthese 129 (3):297-318.
    In Propositional Attitudes, Mark Richard claims that some natural and formal language sentences of the form(∀ x)(∀ y)(x = y → α → α [y/x])are false. He suggests a substitution for α that is sensitive to certain ancillary features of the variable letter as well as the assignment, and then argues that this substitution generates a false instance of the above-mentioned schema. I reject Richard's argument and argue further that the sentence is not an instance of that schema. I then (...)
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  • Quine’s Intuition: Why Quine’s Early Nominalism is Naturalistic.James Andrew Smith - 2020 - Erkenntnis 85 (5):1199-1218.
    According to a growing consensus in the secondary literature on Quine, the judgment Quine makes in favor of the nominalism outlined in “Steps Toward a Constructive Nominalism” is in tension with the naturalism he later adopts. In this paper, I show the consensus view is mistaken by showing that Quine’s judgment is rooted in a naturalistic standard of clarity. Moreover, I argue that Quine late in his career is committed to accepting one plausible reading of his judgment in 1947. In (...)
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  • Spacetime, Ontology, and Structural Realism.Edward Slowik - 2005 - International Studies in the Philosophy of Science 19 (2):147 – 166.
    This essay explores the possibility of constructing a structural realist interpretation of spacetime theories that can resolve the ontological debate between substantivalists and relationists. Drawing on various structuralist approaches in the philosophy of mathematics, as well as on the theoretical complexities of general relativity, our investigation will reveal that a structuralist approach can be beneficial to the spacetime theorist as a means of deflating some of the ontological disputes regarding similarly structured spacetimes.
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  • Dividing things up: The semantics of or and the modal/or interaction.Mandy Simons - 2005 - Natural Language Semantics 13 (3):271-316.
    In this paper, the meanings of sentences containing the word or and a modal verb are used to arrive at a novel account of the meaning of or coordinations. It is proposed that or coordinations denote sets whose members are the denotations of the disjuncts; and that the truth conditions of sentences containing or coordinations require the existence of some set made available by the semantic environment which can be ‘divided up’ in accordance with the disjuncts. The relevant notion of (...)
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  • Parthood.Theodore Sider - 2007 - Philosophical Review 116 (1):51-91.
    There will be a few themes. One to get us going: expansion versus contraction. About an object, o, and the region, R, of space(time) in which o is exactly located,1 we may ask: i) must there exist expansions of o: objects in filled superregions2 of R? ii) must there exist contractions of o: objects in filled subregions of..
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  • Neo-fregeanism and quantifier variance.Theodore Sider - 2007 - Aristotelian Society Supplementary Volume 81 (1):201–232.
    NeoFregeanism is an intriguing but elusive philosophy of mathematical existence. At crucial points, it goes cryptic and metaphorical. I want to put forward an interpretation of neoFregeanism—perhaps not one that actual neoFregeans will embrace—that makes sense of much of what they say. NeoFregeans should embrace quantifier variance.
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  • Conventionalism and the contingency of conventions.Alan Sidelle - 2009 - Noûs 43 (2):224-241.
    One common objection to Conventionalism about modality is that since it is contingent what our conventions are, the modal facts themselves will thereby be contingent. A standard reply is that Conventionalists can accept this, if they reject the S4 axiom, that what is possibly possible is possible. I first argue that this reply is inadequate, but then continue to argue that it is not needed, because the Conventionalist need not concede that the contingency of our conventions has any bearing on (...)
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  • Formal Logic for Informal Logicians.David Sherry - 2006 - Informal Logic 26 (2):199-220.
    Classical logic yields counterintuitive results for numerous propositional argument forms. The usual alternatives (modal logic, relevance logic, etc.) generate counterintuitive results of their own. The counterintuitive results create problems—especially pedagogical problems—for informal logicians who wish to use formal logic to analyze ordinary argumentation. This paper presents a system, PL– (propositional logic minus the funny business), based on the idea that paradigmatic valid argument forms arise from justificatory or explanatory discourse. PL– avoids the pedagogical difficulties without sacrificing insight into argument.
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  • Why does Halldén-completeness matter?George F. Schumm - 1993 - Theoria 59 (1-3):192-206.
  • Inexpressible properties and Grelling’s antinomy.Benjamin Schnieder - 2010 - Philosophical Studies 148 (3):369 - 385.
    The paper discusses whether there are strictly inexpressible properties. Three main points are argued for: (i) Two different senses of ‘predicate t expresses property p ’ should be distinguished. (ii) The property of being a predicate that does not apply to itself is inexpressible in one of the senses of ‘express’, but not in the other. (iii) Since the said property is related to Grelling’s Antinomy, it is further argued that the antinomy does not imply the non-existence of that property.
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  • Explanations, desires, and inscriptions.Israel Scheffler - 1971 - British Journal for the Philosophy of Science 22 (4):362-369.
  • De re language, de re eliminability, and the essential limits of both.Thomas Schwartz - 1997 - Journal of Philosophical Logic 26 (5):521-544.
    De re modality is eliminable if there is an effective translation of all wffs into non-de re equivalents. We cannot have logical equivalence unless 'logic' has odd theses, but we can have material equivalence by banning all essences, something the nonde re facts let us do, or by giving everything such humdrum essences as self-identity and banning the more interesting ones. Eliminability cannot be got from weaker assumptions, nor independent ones of even modest generality. The net philosophical import is that, (...)
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  • VI—Paradoxes as Philosophical Method and Their Zenonian Origins.Barbara M. Sattler - 2021 - Proceedings of the Aristotelian Society 121 (2):153-181.
    In this paper I show that one of the most fruitful ways of employing paradoxes has been as a philosophical method that forces us to reconsider basic assumptions. After a brief discussion of recent understandings of the notion of paradoxes, I show that Zeno of Elea was the inventor of paradoxes in this sense, against the background of Heraclitus’ and Parmenides’ way of argumentation: in contrast to Heraclitus, Zeno’s paradoxes do not ask us to embrace a paradoxical reality; and in (...)
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  • The species problem: A reply to Hull.Michael Ruse - 1971 - British Journal for the Philosophy of Science 22 (4):369-371.
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  • Agnosticism as a third stance.Sven Rosenkranz - 2007 - Mind 116 (461):55-104.
    Within certain philosophical debates, most notably those concerning the limits of our knowledge, agnosticism seems a plausible, and potentially the right, stance to take. Yet, in order to qualify as a proper stance, and not just the refusal to adopt any, agnosticism must be shown to be in opposition to both endorsement and denial and to be answerable to future evidence. This paper explicates and defends the thesis that agnosticism may indeed define such a third stance that is weaker than (...)
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  • Identity and Categorification.Andrei Rodin - 2007 - Philosophia Scientiae 11 (2):27-65.
    Dans cet article je présente une analyse critique de l’approche habituelle de l’identité mathématique qui a son origine dans les travaux de Frege et Russell, en faisant un contraste avec les approches alternatives de Platon et Geach. Je pose ensuite ce problème dans un cadre de la théorie des catégories et montre que la notion d’identité ne peut pas être « internalisée » par les moyens catégoriques standards. Enfin, je présente deux approches de l’identité mathématique plus spécifiques: une avec la (...)
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  • Can Semantics Guide Ontology?Katherine Ritchie - 2016 - Australasian Journal of Philosophy 94 (1):24-41.
    Since the linguistic turn, many have taken semantics to guide ontology. Here, I argue that semantics can, at best, serve as a partial guide to ontological commitment. If semantics were to be our guide, semantic data and semantic treatments would need to be taken seriously. Through an examination of plurals and their treatments, I argue that there can be multiple, equally semantically adequate, treatments of a natural language theory. Further, such treatments can attribute different ontological commitments to a theory. Given (...)
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  • A point of reference.Barry Richards - 1974 - Synthese 28 (3-4):361 - 454.
    83. It should now be apparent that the familiar problems of reference and modality can be satisfactorily resolved without either abandoning substitutivity of identity in modal contexts or invoking an intensional ontology. It might be argued, however, that the suggested resolution avoids invoking an intensional ontology only because the modal predicates, e.g. Nec and Believes, are left unanalysed. This may well be true but it should be appreciated that the analysis of modal predicates is an issue which is independent of (...)
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  • The Representational Foundations of Computation.Michael Rescorla - 2015 - Philosophia Mathematica 23 (3):338-366.
    Turing computation over a non-linguistic domain presupposes a notation for the domain. Accordingly, computability theory studies notations for various non-linguistic domains. It illuminates how different ways of representing a domain support different finite mechanical procedures over that domain. Formal definitions and theorems yield a principled classification of notations based upon their computational properties. To understand computability theory, we must recognize that representation is a key target of mathematical inquiry. We must also recognize that computability theory is an intensional enterprise: it (...)
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  • Je paradox holiče paradoxem?Jiří Raclavský - 2012 - Pro-Fil 12 (2):3.
    V první části textu ukazuji, že paradox holiče není analogický Russellově paradoxu, ba že to vůbec není paradox. Poté se stručně věnuji otázce jeho pravděpodobného historického původu i původu jeho známých verzí. V závěru diskutuji zdroj jeho údajné paradoxnosti.
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  • On the logical positivists' theory of truth: The fundamental problem and a new perspective. [REVIEW]Lorenz B. Puntel - 1999 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 30 (1):101-130.
    The present article purports to show that the protocol sentence debate, pursued by some leading members of the Vienna Circle in the mid-1930s, was essentially a controversy over the explanation and the real significance of the concept of truth. It is further shown that the fundamental issue underlying the discussions about the concept of truth was the relationship between form and content, as well as between logic/language and the world. R. Carnap was the philosopher who most explicitly and systematically attempted (...)
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  • An anti-realist account of mathematical truth.Graham Priest - 1983 - Synthese 57 (1):49 - 65.
    The paper gives a semantics for naive (inconsistent) set theory in terms of substitutional quantification. Soundness is proved in an appendix. In the light of this construction, Several philosophical issues are discussed, Including mathematical necessity and the set theoretic paradoxes. Most importantly, It is argued, These semantics allow for a nominalist account of mathematical truth not committed to the existence of a domain of abstract entities.
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  • Two dogmatists.Charles Pigden - 1987 - Inquiry: An Interdisciplinary Journal of Philosophy 30 (1 & 2):173 – 193.
    Grice and Strawson's 'In Defense of a Dogma is admired even by revisionist Quineans such as Putnam (1962) who should know better. The analytic/synthetic distinction they defend is distinct from that which Putnam successfully rehabilitates. Theirs is the post-positivist distinction bounding a grossly enlarged analytic. It is not, as they claim, the sanctified product of a long philosophic tradition, but the cast-off of a defunct philosophy - logical positivism. The fact that the distinction can be communally drawn does not show (...)
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