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Agustin Rayo
Massachusetts Institute of Technology
  1.  69
    The Construction of Logical Space.Agustín Rayo - 2013 - Oxford, England: Oxford University Press.
    Our conception of logical space is the set of distinctions we use to navigate the world. Agustn Rayo argues that this is shaped by acceptance or rejection of 'just is'-statements: e.g. 'to be composed of water just is to be composed of H2O'. He offers a novel conception of metaphysical possibility, and a new trivialist philosophy of mathematics.
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  2. Absolute Generality.Agustín Rayo & Gabriel Uzquiano (eds.) - 2006 - Oxford and New York: Oxford University Press.
    The problem of absolute generality has attracted much attention in recent philosophy. Agustin Rayo and Gabriel Uzquiano have assembled a distinguished team of contributors to write new essays on the topic. They investigate the question of whether it is possible to attain absolute generality in thought and language and the ramifications of this question in the philosophy of logic and mathematics.
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  3. Fragmentation and Logical Omniscience.Adam Elga & Agustin Rayo - forthcoming - Noûs.
    It would be good to have a Bayesian decision theory that assesses our decisions and thinking according to everyday standards of rationality — standards that do not require logical omniscience (Garber 1983, Hacking 1967). To that end we develop a “fragmented” decision theory in which a single state of mind is represented by a family of credence functions, each associated with a distinct choice condition (Lewis 1982, Stalnaker 1984). The theory imposes a local coherence assumption guaranteeing that as an agent's (...)
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  4. Nominalism Through de-Nominalization.Agustín Rayo & Stephen Yablo - 2001 - Noûs 35 (1):74–92.
  5. Hierarchies Ontological and Ideological.Øystein Linnebo & Agustin Rayo - 2012 - Mind 121 (482):269 - 308.
    Gödel claimed that Zermelo-Fraenkel set theory is 'what becomes of the theory of types if certain superfluous restrictions are removed'. The aim of this paper is to develop a clearer understanding of Gödel's remark, and of the surrounding philosophical terrain. In connection with this, we discuss some technical issues concerning infinitary type theories and the programme of developing the semantics for higher-order languages in other higher-order languages.
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  6.  91
    On the Open-Endedness of Logical Space.Agustín Rayo - 2020 - Philosophers' Imprint 20.
    Modal logicism is the view that a metaphysical possibility is just a non-absurd way for the world to be. I argue that modal logicists should see metaphysical possibility as "open ended'': any given possibilities can be used to characterize further possibilities. I then develop a formal framework for modal languages that is a good fit for the modal logicist and show that it delivers some attractive results.
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  7. Ontological Commitment.Agustín Rayo - 2007 - Philosophy Compass 2 (3):428–444.
    I propose a way of thinking aboout content, and a related way of thinking about ontological commitment. (This is part of a series of four closely related papers. The other three are ‘On Specifying Truth-Conditions’, ‘An Actualist’s Guide to Quantifying In’ and ‘An Account of Possibility’.).
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  8. A Plea for Semantic Localism.Agustín Rayo - 2013 - Noûs 47 (4):647-679.
    The purpose of this paper is to defend a conception of language that does not rely on linguistic meanings, and use it to address the Sorites and Liar paradoxes.
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  9. Fragmentation and Information Access.Adam Elga & Agustin Rayo - forthcoming - In Cristina Borgoni, Dirk Kindermann & Andrea Onofri (eds.), The Fragmented Mind. Oxford University Press.
    In order to predict and explain behavior, one cannot specify the mental state of an agent merely by saying what information she possesses. Instead one must specify what information is available to an agent relative to various purposes. Specifying mental states in this way allows us to accommodate cases of imperfect recall, cognitive accomplishments involved in logical deduction, the mental states of confused or fragmented subjects, and the difference between propositional knowledge and know-how .
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  10. Absolute Generality.Agustín Rayo & Gabriel Uzquiano Cruz - 2009 - Critica 41 (121):67-84.
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  11. The World is the Totality of Facts, Not of Things.Agustín Rayo - 2017 - Philosophical Issues 27 (1):250-278.
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  12.  90
    A Completeness Theorem for Unrestricted First- Order Languages.Agustin Rayo & Timothy Williamson - 2003 - In Jc Beall (ed.), Liars and Heaps. Oxford University Press.
    Here is an account of logical consequence inspired by Bolzano and Tarski. Logical validity is a property of arguments. An argument is a pair of a set of interpreted sentences (the premises) and an interpreted sentence (the conclusion). Whether an argument is logically valid depends only on its logical form. The logical form of an argument is fixed by the syntax of its constituent sentences, the meanings of their logical constituents and the syntactic differences between their non-logical constituents, treated as (...)
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  13. Essence Without Fundamentality.Agustín Rayo - 2015 - Theoria : An International Journal for Theory, History and Fundations of Science 30 (3):349-363.
    I argue for a conception of essence that does not rely on distinctions of metaphysical fundamentality.
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  14.  72
    Reply to Critics.Agustín Rayo - 2014 - Inquiry: An Interdisciplinary Journal of Philosophy 57 (4):498-534.
    Cameron, Eklund, Hofweber, Linnebo, Russell and Sider have written critical essays on my book, The Construction of Logical Space (Oxford: Oxford University Press, 2013). Here I offer some replies.
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  15.  26
    Beta-Conversion and the Being Constraint.Agustín Rayo - 2021 - Aristotelian Society Supplementary Volume 95 (1):253-286.
    Modal contingentists face a dilemma: there are two attractive principles of which they can only accept one. In this paper I show that the most natural way of resolving the dilemma leads to expressive limitations. I then develop an alternative resolution. In addition to overcoming the expressive limitations, the alternative picture allows for an attractive account of arithmetic and for a style of semantic theorizing that can be helpful to contingentists.
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  16.  89
    Vague Representation.Agustín Rayo - 2008 - Mind 117 (466):329-373.
    The goal of this paper is to develop a theory of content for vague language. My proposal is based on the following three theses: (1) language-mastery is not rulebased— it involves a certain kind of decision-making; (2) a theory of content is to be thought of instrumentally—it is a tool for making sense of our linguistic practice; and (3) linguistic contents are only locally defined—they are only defined relative to suitably constrained sets of possibilities. CiteULike Connotea Del.icio.us What's this?
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  17. Plurals.Agustín Rayo - 2007 - Philosophy Compass 2 (3):411–427.
    Forthcoming in Philosophical Compass. I explain why plural quantifiers and predicates have been thought to be philosophically significant.
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  18.  80
    Introduction.Agustin Rayo & Gabriel Uzquiano - 2006 - In Agustin Rayo & Gabriel Uzquiano (eds.), Absolute Generality. Oxford University Press.
    Whether or not we achieve absolute generality in philosophical inquiry, most philosophers would agree that ordinary inquiry is rarely, if ever, absolutely general. Even if the quantifiers involved in an ordinary assertion are not explicitly restricted, we generally take the assertion’s domain of discourse to be implicitly restricted by context.1 Suppose someone asserts (2) while waiting for a plane to take off.
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  19.  14
    Ontological Commitment 1.Agustín Rayo - 2007 - Philosophy Compass 2 (3):428-444.
    I propose a way of thinking about content, and a related way of thinking about ontological commitment.
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  20.  67
    Frege's Unofficial Arithmetic.Agustín Rayo - 2002 - Journal of Symbolic Logic 67 (4):1623-1638.
    I show that any sentence of nth-order (pure or applied) arithmetic can be expressed with no loss of compositionality as a second-order sentence containing no arithmetical vocabulary, and use this result to prove a completeness theorem for applied arithmetic. More specifically, I set forth an enriched second-order language L, a sentence A of L (which is true on the intended interpretation of L), and a compositionally recursive transformation Tr defined on formulas of L, and show that they have the following (...)
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  21. Nominalism, Trivialism, Logicism.Agustín Rayo - 2015 - Philosophia Mathematica 23 (1):nku013.
    This paper extracts some of the main theses in the philosophy of mathematics from my book, The Construction of Logical Space. I show that there are important limits to the availability of nominalistic paraphrase functions for mathematical languages, and suggest a way around the problem by developing a method for specifying nominalistic contents without corresponding nominalistic paraphrases. Although much of the material in this paper is drawn from the book — and from an earlier paper — I hope the present (...)
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  22. A Completeness Theorem for Unrestricted First-Order Languages.Agustin Rayo & Timothy Williamson - 2004 - In J. C. Beall (ed.), Liars and Heaps: New Essays on Paradox. Clarendon Press.
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  23. When Does ‘Everything’ Mean Everything?Agustín Rayo - 2003 - Analysis 63 (2):100–106.
  24. A Puzzle About de Rebus Beliefs.Vann McGee & Agustín Rayo - 2000 - Analysis 60 (4):297–299.
    George Boolos (1984, 1985) has extensively investigated plural quantifi- cation, as found in such locutions as the Geach-Kaplan sentence There are critics who admire only one another, and he found that their logic cannot be adequately formalized within the first-order predicate calculus. If we try to formalize the sentence by a paraphrase using individual variables that range over critics, or over sets or collections or fusions of critics, we misrepresent its logical structure. To represent plural quantification adequately requires the logical (...)
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  25. Reply to Florio and Shapiro.Øystein Linnebo & Agustín Rayo - 2014 - Mind 123 (489):175-181.
    Florio and Shapiro take issue with an argument in ‘Hierarchies Ontological and Ideological’ for the conclusion that the set-theoretic hierarchy is open-ended. Here we clarify and reinforce the argument in light of their concerns.
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  26. 4. Absolute Generality Reconsidered.Agustín Rayo - 2012 - Oxford Studies in Metaphysics 7:93.
  27. Field on Revenge.Agustin Rayo & Philip Welch - 2007 - In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
  28.  35
    Hofweber's Philosophy of Mathematics.AgustÍn Rayo - 2017 - Philosophy and Phenomenological Research 94 (2):474-480.
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  29.  18
    Erratum To: Beta-Conversion and the Being Constraint.Agustín Rayo - 2021 - Aristotelian Society Supplementary Volume 95 (1):1-1.
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  30.  52
    Replies to Greco and Turner.Agustin Rayo - 2015 - Philosophical Studies 172 (10):2617-2620.
    Dan Greco and Jason Turner wrote two fantastic critiques of my book, The Construction of Logical Space. Greco’s critique suggests that the book can be given a Kuhnian interpretation, with a Carnapian twist. Here I embrace that interpretation. Turner criticizes one of the views I develop in the book. Here I identify an avenue of resistance.
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  31.  21
    Nota Crítica Sobre La Paradoja de Orayen. [REVIEW]Agustin Rayo - 2005 - Critica 37 (109):99 - 115.
    La Paradoja de Orayen es dos cosas en una. Primeramente, es un homenaje al filósofo argentino Raúl Orayen (1942–2003). Pocos filósofos hispanoamericanos han gozado de la solidez intelectual y agudeza filosófica de Orayen, y pocos han sido tan queridos. Se trata, pues, de un homenaje bien merecido y que mucho agradecemos los que tuvimos la fortuna de interactuar con Raúl y aprender de él. En segundo lugar, el libro es una contribución a la filosofía hispanoamericana. Alberto Moretti y Guillermo Hurtado (...)
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  32.  92
    A Puzzle About Ineffable Propositions.Agustín Rayo - 2011 - Australasian Journal of Philosophy 89 (2):289 - 295.
    I will argue for localism about credal assignments: the view that credal assignments are well-defined only relative to suitably constrained sets of possibilities. I will motivate the position by suggesting that it is the best way of addressing a puzzle devised by Roger White.
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  33. An Account of Possibility.Agustin Rayo - manuscript
    I develop an account of the sorts of considerations that should go into determining where the limits of possibility lie. (This is part of a series of four closely related papers. The other three are ‘On Specifying Truth-Conditions’, ‘Ontological Commitment’ and ‘An Actualist’s Guide to Quantifying-In’.).
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  34. Frege's Correlation.Agustín Rayo - 2004 - Analysis 64 (2):119–122.
  35. Phil 285 - Special Topics: A Vagueness Primer.Agustin Rayo -
    The seminar is intended as an introduction to vagueness. We'll survey some prominent accounts of vagueness, so that people get a sense of what `accounting for vagueness' is all about, and why it's hard.
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  36. Completud.Agustín Rayo - 2011 - In Luis Vega and Paula Olmos (ed.), Compendio de Lógica, Argumentación y Retórica. Editorial Trotta. pp. 100--102.
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  37. An Actualist's Guide to Quantifying In.Agustín Rayo - 2012 - Critica 44 (132):3-34.
    I develop a device for simulating quantification over merely possible objects from the perspective of a modal actualist ---someone who thinks that everything that exists actually exists.
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  38. Plural Predication.Agustin Rayo - 2000 - Dissertation, Massachusetts Institute of Technology
    My thesis consists of three self-contained but interconnected papers. In the first one, 'Word and Objects', I assume that it is possible to quantify over absolutely everything, and show that certain English sentences containing collective predicates resist paraphrase in first-order languages and even in first-order languages enriched with plural quantifiers. To capture such sentences I develop a language containing plural predicates . ;The introduction of plural predicates leads to an extension of Quine's criterion of ontological commitment. I argue that theories (...)
     
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  39.  29
    Phil 10: Introduction to Logic.Agustin Rayo - manuscript
    Students in this class are expected to complete work on their own. Both problem sets and exams should consist entirely of the student's own work; they must not be copied from other students or any other source. Failure to comply constitutes plagiarism and is a serious violation of class and University policy. Cases of academic dishonesty will be pursued to the fullest extent possible.
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  40.  13
    Review: Nota Crítica Sobre La Paradoja de Orayen. [REVIEW]Agustín Rayo - 2005 - Critica 37 (109):99 - 115.
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