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49Nominalist platonismIn Richard Jeffrey (ed.), Logic, Logic, and Logic, Harvard University Press. pp. 73-87. 1998.
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34On second-order logicIn Richard Jeffrey (ed.), Logic, Logic, and Logic, Harvard University Press. pp. 37-53. 1998.
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392Logic, Logic, and LogicHarvard University Press. 1998.This collection, nearly all chosen by Boolos himself shortly before his death, includes thirty papers on set theory, second-order logic, and plural quantifiers;...
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165Constructing Cantorian counterexamplesJournal of Philosophical Logic 26 (3): 237-239. 1997.Cantor's diagonal argument provides an indirect proof that there is no one-one function from the power set of a set A into A. This paper provides a somewhat more constructive proof of Cantor's theorem, showing how, given a function f from the power set of A into A, one can explicitly define a counterexample to the thesis that f is one-one.
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3Reply to Charles Parsons' "sets and classes"In Richard Jeffrey (ed.), Logic, Logic, and Logic, Harvard University Press. pp. 30-36. 1998.
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1155To be is to be a value of a variable (or to be some values of some variables)Journal of Philosophy 81 (8): 430-449. 1984.
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54The Fraenkel‐Carnap question for Dedekind algebrasMathematical Logic Quarterly 49 (1): 92-96. 2003.It is shown that the second-order theory of a Dedekind algebra is categorical if it is finitely axiomatizable. This provides a partial answer to an old and neglected question of Fraenkel and Carnap: whether every finitely axiomatizable semantically complete second-order theory is categorical. It follows that the second-order theory of a Dedekind algebra is finitely axiomatizable iff the algebra is finitely characterizable. It is also shown that the second-order theory of a Dedekind algebra is qu…Read more
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137Representation Is Never Perfect, But Are Parents Even Representatives?American Journal of Bioethics 20 (4): 51-53. 2020.Volume 20, Issue 4, May 2020, Page 51-53.
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104Public Philosophy and Trans ActivismIn Lee McIntyre, Nancy McHugh & Ian Olasov (eds.), A companion to public philosophy, Wiley-blackwell. 2022.This chapter explores how what is dismissed as “trans activism” is often public philosophy. It considers how so‐called “public philosophy” on trans issues often does a substantially worse job of living up to the name. The chapter discusses how the dichotomy between “trans activism” and “public philosophy” provides a pretext for marginalizing trans voices. To draw on Black feminist philosophical thought, lived experience is a criterion for knowledge of the needs of marginalized people. Like other…Read more
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111Hermeneutical BacklashFeminist Philosophy Quarterly 7 (4). 2021.In this paper we use the contemporary example of trans youth panics to introduce the notion of hermeneutical backlash, in which defenders of an established, unjust hermeneutical regime actively work to undermine and discredit hermeneutical liberation. We argue that the strategies and tropes of the trans youth panic illustrate a general propaganda vulnerability of epistemic liberation movements, and so are troubling for reasons that go beyond their application to trans youth. This exploration of …Read more
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110Not just a tragic compromise: The positive case for adolescent access to puberty-blocking treatmentBioethics 35 (9): 925-931. 2021.Within bioethics as well as in broader clinical practice, support for transgender and gender‐questioning adolescent access to pubertal suppression has often relied heavily on the desire to prevent risky, self‐destructive, and suicidal behavior. We argue that framing justifications for access to puberty suppression in this way can actually be harmful to both individual patients as well as to the broader trans population. This justification for access to care makes such access precarious, limits i…Read more
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98Can we Agree About agree?Review of Philosophy and Psychology 7 (1): 243-264. 2016.This squib attempts to constrain semantic theories of agree wh constructions by broadening the data set and collecting naive speakers’ intuitions. Overall, our data suggest relatively permissive truth-conditions for these constructions. They also suggest a previously undiscussed presupposition for agree wh and also indicate that agree wh is not straightforwardly reducible to agree that. Although some accounts suggest differences in truth conditions among different asymmetrical agree with constru…Read more
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65The Fraenkel-Carnap Question for Limited Higher-Order LanguagesBulletin of the Section of Logic 39 (1/2): 1-9. 2010.
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7011What is it to be a woman? What is it to be a man? We start by laying out desiderata for an analysis of 'woman' and 'man': descriptively, it should link these gender categories to sex biology without reducing them to sex biology, and politically, it should help us explain and combat traditional sexism while also allowing us to make sense of the activist view that gendering should be consensual. Using a Putnam-style 'Twin Earth' example, we argue that none of the existing analyses in the feminist…Read more
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121Puberty-Blocking Treatment and the Rights of Bad CandidatesAmerican Journal of Bioethics 19 (2): 80-82. 2019.
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71Question Embedding and the Semantics of AnswersDissertation, University of California, Los Angeles. 2011.
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279Knowing‐'wh', Mention‐Some Readings, and Non‐ReducibilityThought: A Journal of Philosophy 2 (2): 166-177. 2013.This article presents a new criticisms of reductive approaches to knowledge-‘wh’ (i.e., those approaches on which whether one stands in the knowledge-‘wh’ relation to a question is determined by whether one stands in the knowledge-‘that’ relation to some answer(s) to the question). It argues in particular that the truth of a knowledge-‘wh’ attribution like ‘Janna knows where she can buy an Italian newspaper’ depends not only on what Janna knows about the availability of Italian newspapers, but o…Read more
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147Second-Order Characterizable Cardinals and OrdinalsStudia Logica 84 (3): 425-449. 2006.The notions of finite and infinite second-order characterizability of cardinal and ordinal numbers are developed. Several known results for the case of finite characterizability are extended to infinite characterizability, and investigations of the second-order theory of ordinals lead to some observations about the Fraenkel-Carnap question for well-orders and about the relationship between ordinal characterizability and ordinal arithmetic. The broader significance of cardinal characterizability …Read more
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96Which judgments show weak exhaustivity? (And which don't?)Natural Language Semantics 21 (4): 401-427. 2013.This paper considers two of the most prominent kinds of evidence that have been used to argue that certain embedded questions receive weakly exhaustive interpretations. The first kind is exemplified by judgments of consistency for declarative sentences that attribute knowledge of a wh-question and ignorance of the negation of that question to the same person, and the second concerns asymmetries between the role of positive and negative information in validating question-embedding surprise ascrip…Read more
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158Some remarks on certain trivalent accounts of presupposition projectionJournal of Applied Non-Classical Logics 24 (1-2): 86-117. 2014.This paper discusses some formal properties of trivalent approaches to presupposition projection, and in particular of the middle Kleene system of Peters (1977) and Krahmer (1998). After exploring the relationship between trivalent truth-functional accounts and dynamic accounts in the tradition of Heim (1983), I show how the middle Kleene trivalent account can be formulated in a way which shows that it meets the explanatory challenge of Schlenker (2006, 2008a,b), and provide some results relatin…Read more
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4522(Added April 2023: This draft is superseded by Briggs, R.A., & George, B.R. (2023). 'What Even Is Gender?'. Routledge. DOI 10.4324/9781003053330, and in particular by the first three chapters thereof. While this much earlier draft remains available for archival purposes, you are encouraged to read and cite the 2023 book and to use its terminology.) This paper presents a new taxonomy of sex/gender concepts based on the idea of starting with a few basic components of the sex/gender system, and exh…Read more