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What Is the Benacerraf Problem?

In Fabrice Pataut (ed.), Truth, Objects, Infinity: New Perspectives on the Philosophy of Paul Benacerraf. Cham: Springer Verlag (2016)

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  1. A Defense of Explanationism against Recent Objections.Tomas Bogardus & Will Perrin - forthcoming - Episteme:1-12.
    In the recent literature on the nature of knowledge, a rivalry has emerged between modalism and explanationism. According to modalism, knowledge requires that our beliefs track the truth across some appropriate set of possible worlds. Modalists tend to focus on two modal conditions: sensitivity and safety. According to explanationism, knowledge requires only that beliefs bear the right sort of explanatory relation to the truth. In slogan form: knowledge is believing something because it’s true. In this paper, we aim to vindicate (...)
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  • What's the coincidence in debunking?Harjit Bhogal - 2022 - Philosophy and Phenomenological Research 107 (1):147-167.
    Many moral debunking arguments are driven by the idea that the correlation between our moral beliefs and the moral truths is a big coincidence, given a robustly realist conception of morality.One influential response is that the correlation is not a coincidence because there is a common explainer of our moral beliefs and the moral truths. For example, the reason that I believe that I should feed my child is because feeding my child helps them to survive, and natural selection instills (...)
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  • A Lewisian Argument Against Platonism, or Why Theses About Abstract Objects Are Unintelligible.Jack Himelright - 2023 - Erkenntnis 88 (7):3037–3057.
    In this paper, I argue that all expressions for abstract objects are meaningless. My argument closely follows David Lewis’ argument against the intelligibility of certain theories of possible worlds, but modifies it in order to yield a general conclusion about language pertaining to abstract objects. If my Lewisian argument is sound, not only can we not know that abstract objects exist, we cannot even refer to or think about them. However, while the Lewisian argument strongly motivates nominalism, it also undermines (...)
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  • Modal Security.Justin Clarke-Doane & Dan Baras - 2021 - Philosophy and Phenomenological Research 102 (1):162-183.
    Modal Security is an increasingly discussed proposed necessary condition on undermining defeat. Modal Security says, roughly, that if evidence undermines (rather than rebuts) one’s belief, then one gets reason to doubt the belief's safety or sensitivity. The primary interest of the principle is that it seems to entail that influential epistemological arguments, including Evolutionary Debunking Arguments against moral realism and the Benacerraf-Field Challenge for mathematical realism, are unsound. The purpose of this paper is to critically examine Modal Security in detail. (...)
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  • Deflationary Nominalism and Puzzle Avoidance.David Mark Kovacs - 2019 - Philosophia Mathematica 27 (1):88-104.
    In a series of works, Jody Azzouni has defended deflationary nominalism, the view that certain sentences quantifying over mathematical objects are literally true, although such objects do not exist. One alleged attraction of this view is that it avoids various philosophical puzzles about mathematical objects. I argue that this thought is misguided. I first develop an ontologically neutral counterpart of Field’s reliability challenge and argue that deflationary nominalism offers no distinctive answer to it. I then show how this reasoning generalizes (...)
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  • Moral Skepticism and the Benacerraf Challenge.Tersman Folke - unknown
    The Benacerraf challenge is a well-known objection to Platonism in mathematics. Its proponent argues that, if mathematical entities are, as Platonists claim, mind-independent, causally inert, and existent beyond space and time, then we are led to a skeptical stance according to which it is not possible to explain how it is that we have cognitive access to the mathematical realm or how it is that our mathematical beliefs are reliable. It has been argued that a similar objection could be leveled (...)
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  • The Mystery of Moral Perception.Daniel Crow - 2016 - Journal of Moral Philosophy 13 (2):187-210.
    _ Source: _Page Count 24 Accounts of non-naturalist moral perception have been advertised as an empiricist-friendly epistemological alternative to moral rationalism. I argue that these accounts of moral perception conceal a core commitment of rationalism—to substantive a priori justification—and embody its most objectionable feature—namely, “mysteriousness.” Thus, accounts of non-naturalist moral perception do not amount to an interesting alternative to moral rationalism.
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  • Platonism in the Philosophy of Mathematics.Øystein Linnebo - forthcoming - Stanford Encyclopedia of Philosophy.
    Platonism about mathematics (or mathematical platonism) isthe metaphysical view that there are abstract mathematical objectswhose existence is independent of us and our language, thought, andpractices. Just as electrons and planets exist independently of us, sodo numbers and sets. And just as statements about electrons and planetsare made true or false by the objects with which they are concerned andthese objects' perfectly objective properties, so are statements aboutnumbers and sets. Mathematical truths are therefore discovered, notinvented., Existence. There are mathematical objects.
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  • Saving Sensitivity.Brett Topey - 2022 - Philosophical Quarterly 72 (1):177-196.
    Sensitivity has sometimes been thought to be a highly epistemologically significant property, serving as a proxy for a kind of responsiveness to the facts that ensure that the truth of our beliefs isn’t just a lucky coincidence. But it's an imperfect proxy: there are various well-known cases in which sensitivity-based anti-luck conditions return the wrong verdicts. And as a result of these failures, contemporary theorists often dismiss such conditions out of hand. I show here, though, that a sensitivity-based understanding of (...)
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  • Explanation in Ethics and Mathematics: Debunking and Dispensability. [REVIEW]David Faraci - 2018 - Analysis 78 (2):377-381.
    Explanation in Ethics and Mathematics: Debunking and Dispensability By LeibowitzUri D. and SinclairNeilOxford University Press, 2016. x + 258 pp. £45.00.
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  • Darwinism in metaethics: What if the universal acid cannot be contained?Eleonora Severini & Fabio Sterpetti - 2017 - History and Philosophy of the Life Sciences 39 (3):1-25.
    The aim of this article is to explore the impact of Darwinism in metaethics and dispel some of the confusion surrounding it. While the prospects for a Darwinian metaethics appear to be improving, some underlying epistemological issues remain unclear. We will focus on the so-called Evolutionary Debunking Arguments (EDAs) which, when applied in metaethics, are defined as arguments that appeal to the evolutionary origins of moral beliefs so as to undermine their epistemic justification. The point is that an epistemic disanalogy (...)
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  • Genealogical Defeat and Ontological Sparsity.Jonathan Barker - 2023 - Midwest Studies in Philosophy 47:1-23.
    When and why does awareness of a belief's genealogy render it irrational to continue holding that belief? According to explanationism, awareness of a belief’s genealogy gives rise to an epistemic defeater when and because it reveals that the belief is not explanatorily connected to the relevant worldly facts. I argue that an influential recent version of explanationism, due to Korman and Locke, incorrectly implies that it is not rationally permissible to adopt a “sparse” ontology of worldly facts or states of (...)
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  • The Benacerraf Problem as a Challenge for Ontic Structural Realism.Majid Davoody Beni - 2020 - Philosophia Mathematica 28 (1):35-59.
    Benacerraf has presented two problems for the philosophy of mathematics. These are the problem of identification and the problem of representation. This paper aims to reconstruct the latter problem and to unpack its undermining bearing on the version of Ontic Structural Realism that frames scientific representations in terms of abstract structures. I argue that the dichotomy between mathematical structures and physical ones cannot be used to address the Benacerraf problem but strengthens it. I conclude by arguing that versions of OSR (...)
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  • The Residual Access Problem.Sharon Berry - manuscript
    A range of current truth-value realist philosophies of mathematics allow one to reduce the Benacerraf Problem to a problem concerning mathematicians' ability to recognize which conceptions of pure mathematical structures are coherent – in a sense which can be cashed out in terms of logical possibility. In this paper I will clarify what it takes to solve this `residual' access problem and then present a framework for solving it.
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