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Stewart Shapiro
Ohio State University
Lawrence Shapiro
University of Wisconsin, Madison
Gary Shapiro
University of Richmond
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  1. Embodied Cognition.Lawrence A. Shapiro - 2010 - New York: Routledge.
    Embodied cognition often challenges standard cognitive science. In this outstanding introduction, Lawrence Shapiro sets out the central themes and debates surrounding embodied cognition, explaining and assessing the work of many of the key figures in the field, including George Lakoff, Alva Noë, Andy Clark, and Arthur Glenberg. Beginning with an outline of the theoretical and methodological commitments of standard cognitive science, Shapiro then examines philosophical and empirical arguments surrounding the traditional perspective. He introduces topics such as dynamic systems theory, ecological (...)
  2. Philosophy of mathematics: structure and ontology.Stewart Shapiro - 1997 - New York: Oxford University Press.
    Do numbers, sets, and so forth, exist? What do mathematical statements mean? Are they literally true or false, or do they lack truth values altogether? Addressing questions that have attracted lively debate in recent years, Stewart Shapiro contends that standard realist and antirealist accounts of mathematics are both problematic. As Benacerraf first noted, we are confronted with the following powerful dilemma. The desired continuity between mathematical and, say, scientific language suggests realism, but realism in this context suggests seemingly intractable epistemic (...)
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  3. Foundations without foundationalism: a case for second-order logic.Stewart Shapiro - 1991 - New York: Oxford University Press.
    The central contention of this book is that second-order logic has a central role to play in laying the foundations of mathematics. In order to develop the argument fully, the author presents a detailed description of higher-order logic, including a comprehensive discussion of its semantics. He goes on to demonstrate the prevalence of second-order concepts in mathematics and the extent to which mathematical ideas can be formulated in higher-order logic. He also shows how first-order languages are often insufficient to codify (...)
  4. The Multiple Realization Book.Thomas W. Polger & Lawrence A. Shapiro - 2016 - Oxford: Oxford University Press UK. Edited by Lawrence A. Shapiro.
    Since Hilary Putnam offered multiple realization as an empirical hypothesis in the 1960s, philosophical consensus has turned against the idea that mental processes are identifiable with brain processes, and multiple realization has become the keystone of the 'antireductive consensus' across philosophy of science. Thomas W. Polger and Lawrence A. Shapiro offer the first book-length investigation of multiple realization, which serves as a starting point to a series of philosophically sophisticated and empirically informed arguments that cast doubt on the generality of (...)
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  5.  83
    Varieties of Logic.Stewart Shapiro - 2014 - Oxford and New York: Oxford University Press.
    Logical pluralism is the view that different logics are equally appropriate, or equally correct. Logical relativism is a pluralism according to which validity and logical consequence are relative to something. Stewart Shapiro explores various such views. He argues that the question of meaning shift is itself context-sensitive and interest-relative.
  6. The Mind Incarnate.Lawrence A. Shapiro - 2004 - MIT Press.
    Shapiro tests these hypotheses against two rivals, the mental constraint thesis and the embodied mind thesis. Collecting evidence from a variety of sources (e.g., neuroscience, evolutionary theory, and embodied cognition) he concludes that the multiple realizability thesis, accepted by most philosophers as a virtual truism, is much less obvious than commonly assumed, and that there is even stronger reason to give up the separability thesis. In contrast to views of mind that tempt us to see the mind as simply being (...)
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  7.  14
    Philosophy of Mathematics: Structure and Ontology.Stewart Shapiro - 1997 - Oxford, England: Oxford University Press USA.
    Moving beyond both realist and anti-realist accounts of mathematics, Shapiro articulates a "structuralist" approach, arguing that the subject matter of a mathematical theory is not a fixed domain of numbers that exist independent of each other, but rather is the natural structure, the pattern common to any system of objects that has an initial object and successor relation satisfying the induction principle.
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  8.  14
    Embodied Cognition.Lawrence A. Shapiro - 2010 - New York: Routledge.
    Embodied cognition is a recent development in psychology that practitioners often present as a superseding standard cognitive science. In this outstanding introduction, Lawrence Shapiro sets out the central themes and debates surrounding embodied cognition, explaining and assessing the work of many of the key figures in the field, including Lawrence Barsalou, Daniel Casasanto, Andy Clark, Alva Noë, and Michael Spivey. Beginning with an outline of the theoretical and methodological commitments of standard cognitive science, Shapiro then examines philosophical and empirical arguments (...)
  9. Legality.Scott Shapiro (ed.) - 2011 - Cambridge, Mass.: Harvard University Press.
    What is law (and why should we care)? -- Crazy little thing called "law" -- Austin's sanction theory -- Hart and the rule of recognition -- How to do things with plans -- The making of a legal system -- What law is -- Legal reasoning and judicial decision making -- Hard cases -- Theoretical disagreements -- Dworkin and distrust -- The economy of trust -- The interpretation of plans -- The value of legality.
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  10. Thinking about mathematics: the philosophy of mathematics.Stewart Shapiro - 2000 - New York: Oxford University Press.
    This unique book by Stewart Shapiro looks at a range of philosophical issues and positions concerning mathematics in four comprehensive sections. Part I describes questions and issues about mathematics that have motivated philosophers since the beginning of intellectual history. Part II is an historical survey, discussing the role of mathematics in the thought of such philosophers as Plato, Aristotle, Kant, and Mill. Part III covers the three major positions held throughout the twentieth century: the idea that mathematics is logic (logicism), (...)
  11. Multiple realizations.Lawrence A. Shapiro - 2000 - Journal of Philosophy 97 (12):635-654.
  12. Philosophy of Mathematics: Structure and Ontology.Stewart Shapiro - 2000 - Philosophical Quarterly 50 (198):120-123.
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  13. Vagueness in context.Stewart Shapiro - 2006 - New York: Oxford University Press.
    Stewart Shapiro's ambition in Vagueness in Context is to develop a comprehensive account of the meaning, function, and logic of vague terms in an idealized version of a natural language like English. It is a commonplace that the extensions of vague terms vary according to their context: a person can be tall with respect to male accountants and not tall (even short) with respect to professional basketball players. The key feature of Shapiro's account is that the extensions of vague terms (...)
  14.  50
    Vagueness in Context.Stewart Shapiro - 2006 - Oxford, England: Oxford University Press UK.
    Stewart Shapiro's aim in Vagueness in Context is to develop both a philosophical and a formal, model-theoretic account of the meaning, function, and logic of vague terms in an idealized version of a natural language like English. It is a commonplace that the extensions of vague terms vary with such contextual factors as the comparison class and paradigm cases. A person can be tall with respect to male accountants and not tall with respect to professional basketball players. The main feature (...)
  15. Philosophy of Mathematics: Structure and Ontology.Stewart Shapiro - 2002 - Philosophy and Phenomenological Research 65 (2):467-475.
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  16. Epiphenomenalism - the do's and the don 'ts'.Lawrence A. Shapiro & Elliott Sober - 2007 - In G. Wolters & Peter K. Machamer (eds.), Thinking About Causes: From Greek Philosophy to Modern physics. University of Pittsburgh Press. pp. 235-264.
    When philosophers defend epiphenomenalist doctrines, they often do so by way of a priori arguments. Here we suggest an empirical approach that is modeled on August Weismann’s experimental arguments against the inheritance of acquired characters. This conception of how epiphenomenalism ought to be developed helps clarify some mistakes in two recent epiphenomenalist positions – Jaegwon Kim’s (1993) arguments against mental causation, and the arguments developed by Walsh (2000), Walsh, Lewens, and Ariew (2002), and Matthen and Ariew (2002) that natural selection (...)
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  17. Embodied Cognition: Lessons from Linguistic Determinism.Lawrence A. Shapiro - 2011 - Philosophical Topics 39 (1):121-140.
    A line of research within embodied cognition seeks to show that an organism’s body is a determinant of its conceptual capacities. Comparison of this claim of body determinism to linguistic determinism bears interesting results. Just as Slobin’s (1996) idea of thinking for speaking challenges the main thesis of linguistic determinism, so too the possibility of thinking for acting raises difficulties for the proponent of body determinism. However, recent studies suggest that the body may, after all, have a determining role in (...)
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  18. Actual and Potential Infinity.Øystein Linnebo & Stewart Shapiro - 2017 - Noûs 53 (1):160-191.
    The notion of potential infinity dominated in mathematical thinking about infinity from Aristotle until Cantor. The coherence and philosophical importance of the notion are defended. Particular attention is paid to the question of whether potential infinity is compatible with classical logic or requires a weaker logic, perhaps intuitionistic.
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  19. The Routledge Handbook of Embodied Cognition.Lawrence A. Shapiro (ed.) - 2014 - New York: Routledge.
    Embodied cognition is one of the foremost areas of study and research in philosophy of mind, philosophy of psychology and cognitive science. The Routledge Handbook of Embodied Cognition is an outstanding guide and reference source to the key philosophers, topics and debates in this exciting subject and essential reading for any student and scholar of philosophy of mind and cognitive science. Comprising over thirty chapters by a team of international contributors, the Handbook is divided into six parts: Historical Underpinnings Perspectives (...)
     
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  20.  6
    Vagueness in Context.Stewart Shapiro - 2006 - Oxford, GB: Oxford University Press.
    Stewart Shapiro's aim in Vagueness in Context is to develop both a philosophical and a formal, model-theoretic account of the meaning, function, and logic of vague terms in an idealized version of a natural language like English. It is a commonplace that the extensions of vague terms vary with such contextual factors as the comparison class and paradigm cases. A person can be tall with respect to male accountants and not tall with respect to professionalbasketball players. The main feature of (...)
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  21. Knowledge and Human Interests.Jürgen Habermas & Jeremy Shapiro - 1973 - Canadian Journal of Philosophy 2 (4):545-569.
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  22.  28
    Two Treatises of Government and a Letter Concerning Toleration.John Locke & Ian Shapiro - 2003 - Yale University Press. Edited by Ian Shapiro.
    Presents John Locke's seventeenth-century classic work on political and social theory; and includes a history of the text, as well as notes and a bibliography.
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  23.  34
    Philosophy of Mathematics.Stewart Shapiro - 2003 - In Peter Clark & Katherine Hawley (eds.), Philosophy of Science Today. Oxford University Press UK.
    Moving beyond both realist and anti-realist accounts of mathematics, Shapiro articulates a "structuralist" approach, arguing that the subject matter of a mathematical theory is not a fixed domain of numbers that exist independent of each other, but rather is the natural structure, the pattern common to any system of objects that has an initial object and successor relation satisfying the induction principle.
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  24. Toward a Rational Society: Student Protest, Science and Politics.Jürgen Habermas & Jeremy J. Shapiro - 1971 - Science and Society 35 (3):373-375.
     
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  25. Oxford Handbook of Philosophy of Mathematics and Logic.Stewart Shapiro (ed.) - 2005 - Oxford and New York: Oxford University Press.
    This Oxford Handbook covers the current state of the art in the philosophy of maths and logic in a comprehensive and accessible manner, giving the reader an overview of the major problems, positions, and battle lines. The 26 newly-commissioned chapters are by established experts in the field and contain both exposition and criticism as well as substantial development of their own positions. Select major positions are represented by two chapters - one supportive and one critical. The book includes a comprehensive (...)
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  26. Proof and Truth.Stewart Shapiro - 1998 - Journal of Philosophy 95 (10):493-521.
  27. Against proportionality.Lawrence A. Shapiro & Elliott Sober - 2012 - Analysis 72 (1):89-93.
    A statement of the form ‘C caused E’ obeys the requirement of proportionality precisely when C says no more than what is necessary to bring about E. The thesis that causal statements must obey this requirement might be given a semantic or a pragmatic justification. We use the idea that causal claims are contrastive to criticize both.
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  28. Identity, indiscernibility, and Ante Rem structuralism: The tale of I and –I.Stewart Shapiro - 2008 - Philosophia Mathematica 16 (3):285-309.
    Some authors have claimed that ante rem structuralism has problems with structures that have indiscernible places. In response, I argue that there is no requirement that mathematical objects be individuated in a non-trivial way. Metaphysical principles and intuitions to the contrary do not stand up to ordinary mathematical practice, which presupposes an identity relation that, in a sense, cannot be defined. In complex analysis, the two square roots of –1 are indiscernible: anything true of one of them is true of (...)
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    Proof and Truth.Stewart Shapiro - 1998 - Journal of Philosophy 95 (10):493-521.
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  30.  68
    Law, Morality, and Everything Else: General Jurisprudence as a Branch of Metanormative Inquiry.David Plunkett & Scott Shapiro - 2017 - Ethics 128 (1):37-68.
    In this article, we propose a novel account of general jurisprudence by situating it within the broader project of metanormative inquiry. We begin by showing how general jurisprudence is parallel to another well-known part of that project, namely, metaethics. We then argue that these projects all center on the same task: explaining how a certain part of thought, talk, and reality fits into reality overall. Metalegal inquiry aims to explain how legal thought, talk, and reality fit into reality. General jurisprudence (...)
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  31. Resolving Frege’s Other Puzzle.Eric Snyder, Richard Samuels & Stewart Shapiro - 2022 - Philosophica Mathematica 30 (1):59-87.
    Number words seemingly function both as adjectives attributing cardinality properties to collections, as in Frege’s ‘Jupiter has four moons’, and as names referring to numbers, as in Frege’s ‘The number of Jupiter’s moons is four’. This leads to what Thomas Hofweber calls Frege’s Other Puzzle: How can number words function as modifiers and as singular terms if neither adjectives nor names can serve multiple semantic functions? Whereas most philosophers deny that one of these uses is genuine, we instead argue that (...)
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  32. Deflating logical consequence.Lionel Shapiro - 2011 - Philosophical Quarterly 61 (243):320-342.
    Deflationists about truth seek to undermine debates about the nature of truth by arguing that the truth predicate is merely a device that allows us to express a certain kind of generality. I argue that a parallel approach is available in the case of logical consequence. Just as deflationism about truth offers an alternative to accounts of truth's nature in terms of correspondence or justification, deflationism about consequence promises an alternative to model-theoretic or proof-theoretic accounts of consequence's nature. I then (...)
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  33.  25
    Aesthetic Theory.Henry L. Shapiro - 1986 - Philosophical Review 95 (2):288.
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  34. Conservativeness and incompleteness.Stewart Shapiro - 1983 - Journal of Philosophy 80 (9):521-531.
  35. Logical consequence: Models and modality.Stewart Shapiro - 1998 - In Matthias Schirn (ed.), The Philosophy of Mathematics Today: Papers From a Conference Held in Munich From June 28 to July 4,1993. Oxford, England: Clarendon Press. pp. 131--156.
  36. Logic and science: science and logic.Marcus Rossberg & Stewart Shapiro - 2021 - Synthese 199 (3-4):6429-6454.
    According to Ole Hjortland, Timothy Williamson, Graham Priest, and others, anti-exceptionalism about logic is the view that logic “isn’t special”, but is continuous with the sciences. Logic is revisable, and its truths are neither analytic nor a priori. And logical theories are revised on the same grounds as scientific theories are. What isn’t special, we argue, is anti-exceptionalism about logic. Anti-exceptionalists disagree with one another regarding what logic and, indeed, anti-exceptionalism are, and they are at odds with naturalist philosophers of (...)
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  37.  10
    Democratic Justice.Ian Shapiro - 1999 - Yale University Press.
    Democracy and justice are often mutually antagonistic ideas, but in this innovative book Ian Shapiro shows how and why they should be pursued together. Justice must be sought democratically if it is to garner legitimacy in the modern world, he claims, and democracy must be justice-promoting if it is to sustain allegiance over time. _Democratic Justice_ meets these criteria, offering an attractive vision of a practical path to a better future. Wherever power is exercised in human affairs, Shapiro argues, the (...)
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  38. Logical consequence, proof theory, and model theory.Stewart Shapiro - 2005 - In Oxford Handbook of Philosophy of Mathematics and Logic. Oxford University Press. pp. 651--670.
    This chapter provides broad coverage of the notion of logical consequence, exploring its modal, semantic, and epistemic aspects. It develops the contrast between proof-theoretic notion of consequence, in terms of deduction, and a model-theoretic approach, in terms of truth-conditions. The main purpose is to relate the formal, technical work in logic to the philosophical concepts that underlie reasoning.
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  39. How to test for multiple realization.Lawrence A. Shapiro - 2008 - Philosophy of Science 75 (5):514-525.
    When conceived as an empirical claim, it is natural to wonder how one might test the hypothesis of multiple realization. I consider general issues of testability, show how they apply specifically to the hypothesis of multiple realization, and propose an auxiliary assumption that, I argue, must be conjoined to the hypothesis of multiple realization to ensure its testability. I argue further that Bechtel and Mundale go astray because they fail to appreciate the need for this auxiliary assumption. †To contact the (...)
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  40. Mathematics and reality.Stewart Shapiro - 1983 - Philosophy of Science 50 (4):523-548.
    The subject of this paper is the philosophical problem of accounting for the relationship between mathematics and non-mathematical reality. The first section, devoted to the importance of the problem, suggests that many of the reasons for engaging in philosophy at all make an account of the relationship between mathematics and reality a priority, not only in philosophy of mathematics and philosophy of science, but also in general epistemology/metaphysics. This is followed by a (rather brief) survey of the major, traditional philosophies (...)
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  41. Massively Shared Agency.Scott Shapiro - 2014 - Rational and Social Agency: The Philosophy of Michael Bratman:257--293.
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  42.  67
    Lessons from Causal Exclusion1.Lawrence A. Shapiro - 2010 - Philosophy and Phenomenological Research 81 (3):594-604.
    Jaegwon Kim’s causal exclusion argument has rarely been evaluated from an empirical perspective. This is puzzling because its conclusion seems to be making a testable claim about the world: supervenient properties are causally inefficacious. An empirical perspective, however, reveals Kim’s argument to rest on a mistaken conception about how to test whether a property is causally efficacious. Moreover, the empirical perspective makes visible a metaphysical bias that Kim brings to his argument that involves a principle of non‐inclusion.
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  43. The embodied cognition research programme.Larry Shapiro - 2007 - Philosophy Compass 2 (2):338–346.
    Embodied Cognition is an approach to cognition that departs from traditional cognitive science in its reluctance to conceive of cognition as computational and in its emphasis on the significance of an organism's body in how and what the organism thinks. Three lines of embodied cognition research are described and some thoughts on the future of embodied cognition offered.
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  44. Understanding the Dimensions of Realization.Lawrence A. Shapiro - 2008 - Journal of Philosophy 105 (4):213-222.
    Carl Gillett has defended what he calls the “dimensioned” view of the realization relation, which he contrasts with the traditional “flat” view of realization (2003, 2007; see also Gillett 2002). Intuitively, the dimensioned approach characterizes realization in terms of composition whereas the flat approach views realization in terms of occupiers of functional roles. Elsewhere we have argued that the general view of realization and multiple realization that Gillett advances is not able to discharge the theoretical duties of those relations (Shapiro (...)
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  45.  79
    Revisiting the Early Modern Philosophical Canon.Lisa Shapiro - 2016 - Journal of the American Philosophical Association 2 (3):365-383.
    ABSTRACT:I reflect critically on the early modern philosophical canon in light of the entrenchment and homogeneity of the lineup of seven core figures: Descartes, Spinoza, Leibniz, Locke, Berkeley, Hume, and Kant. After distinguishing three elements of a philosophical canon—a causal story, a set of core philosophical questions, and a set of distinctively philosophical works—I argue that recent efforts contextualizing the history of philosophy within the history of science subtly shift the central philosophical questions and allow for a greater range of (...)
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  46.  52
    Structural and indicator representations: a difference in degree, not kind.Gregory Nirshberg & Lawrence Shapiro - 2020 - Synthese 198 (8):7647-7664.
    Some philosophers have offered structural representations as an alternative to indicator-based representations. Motivating these philosophers is the belief that an indication-based analysis of representation exhibits two fatal inadequacies from which structural representations are spared: such an analysis cannot account for the causal role of representational content and cannot explain how representational content can be made determinate. In fact, we argue, indicator and structural representations are on a par with respect to these two problems. This should not be surprising, we contend, (...)
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  47. Commitment Accounts of Assertion.Lionel Shapiro - 2018 - In Sanford C. Goldberg (ed.), The Oxford Handbook of Assertion. Oxford University Press.
    According to commitment accounts of assertion, asserting is committing oneself to something’s being the case, where such commitment is understood in terms of norms governing a social practice. I elaborate and compare two version of such accounts, liability accounts (associated with C.S. Peirce) and dialectical norm accounts (associated with Robert Brandom), concluding that the latter are more defensible. I argue that both versions of commitment account possess a potential advantage over rival normative accounts of assertion in that they needn’t presuppose (...)
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  48. Lessons from Causal Exclusion.Larry Shapiro - 2010 - Philosophy and Phenomenological Research 81 (3):594-604.
    Jaegwon Kim’s causal exclusion argument has rarely been evaluated from an empirical perspective. This is puzzling because its conclusion seems to be making a testable claim about the world: supervenient properties are causally inefficacious. An empirical perspective, however, reveals Kim’s argument to rest on a mistaken conception about how to test whether a property is causally efficacious. Moreover, the empirical perspective makes visible a metaphysical bias that Kim brings to his argument that involves a principle of non-inclusion.
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  49.  87
    Elisabeth, Princess of Bohemia.Lisa Shapiro - 2021 - Stanford Encyclopedia of Philosophy.
  50. New V, ZF and Abstraction.Stewart Shapiro & Alan Weir - 1999 - Philosophia Mathematica 7 (3):293-321.
    We examine George Boolos's proposed abstraction principle for extensions based on the limitation-of-size conception, New V, from several perspectives. Crispin Wright once suggested that New V could serve as part of a neo-logicist development of real analysis. We show that it fails both of the conservativeness criteria for abstraction principles that Wright proposes. Thus, we support Boolos against Wright. We also show that, when combined with the axioms for Boolos's iterative notion of set, New V yields a system equivalent to (...)
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