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What is the Benacerraf Problem?

In Fabrice Pataut Jody Azzouni, Paul Benacerraf Justin Clarke-Doane, Jacques Dubucs Sébastien Gandon, Brice Halimi Jon Perez Laraudogoitia, Mary Leng Ana Leon-Mejia, Antonio Leon-Sanchez Marco Panza, Fabrice Pataut Philippe de Rouilhan & Andrea Sereni Stuart Shapiro (eds.), New Perspectives on the Philosophy of Paul Benacerraf: Truth, Objects, Infinity (Fabrice Pataut, Editor). Cham: Springer (2017)

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  1. 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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  • Explaining our Moral Reliability.Sinan Dogramaci - 2016 - Pacific Philosophical Quarterly 98 (S1):71-86.
    I critically examine an evolutionary debunking argument against moral realism. The key premise of the argument is that there is no adequate explanation of our moral reliability. I search for the strongest version of the argument; this involves exploring how ‘adequate explanation’ could be understood such that the key premise comes out true. Finally, I give a reductio: in the sense in which there is no adequate explanation of our moral reliability, there is equally no adequate explanation of our inductive (...)
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  • Morality as an Evolutionary Exaptation.Marcus Arvan - 2021 - In Johan De Smedt & Helen De Cruz (eds.), Empirically Engaged Evolutionary Ethics. Synthese Library. Springer - Synthese Library. pp. 89-109.
    The dominant theory of the evolution of moral cognition across a variety of fields is that moral cognition is a biological adaptation to foster social cooperation. This chapter argues, to the contrary, that moral cognition is likely an evolutionary exaptation: a form of cognition where neurobiological capacities selected for in our evolutionary history for a variety of different reasons—many unrelated to social cooperation—were put to a new, prosocial use after the fact through individual rationality, learning, and the development and transmission (...)
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  • An integrative design? How liberalised modal empiricism fails the integration challenge.Ylwa Sjölin Wirling - 2019 - Synthese 198 (6):5655-5673.
    The idea that justified modal belief can be accounted for in terms of empirically justified, non-modal belief is enjoying increasing popularity in the epistemology of modality. One alleged reason to prefer modal empiricism over more traditional, rationalist modal epistemologies is that empiricism avoids the problem with the integration challenge that arise for rationalism, assuming that we want to be realists about modal metaphysics. In this paper, I argue that given two very reasonable constraints on what it means to meet the (...)
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  • Modal Semantics without Worlds.Craig Warmke - 2016 - Philosophy Compass 11 (11):702-715.
    Over the last half century, possible worlds have bled into almost every area of philosophy. In the metaphysics of modality, for example, philosophers have used possible worlds almost exclusively to illuminate discourse about metaphysical necessity and possibility. But recently, some have grown dissatisfied with possible worlds. Why are horses necessarily mammals? Because the property of being a horse bears a special relationship to the property of being a mammal, they say. Not because every horse is a mammal in every possible (...)
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  • Epistemology versus Non-Causal Realism.Jared Warren - 2017 - Synthese 194 (5).
    This paper formulates a general epistemological argument against what I call non-causal realism, generalizing domain specific arguments by Benacerraf, Field, and others. First I lay out the background to the argument, making a number of distinctions that are sometimes missed in discussions of epistemological arguments against realism. Then I define the target of the argument—non-causal realism—and argue that any non-causal realist theory, no matter the subject matter, cannot be given a reasonable epistemology and so should be rejected. Finally I discuss (...)
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  • The epistemological objection to modal primitivism.Jennifer Wang - 2018 - Synthese 198 (Suppl 8):1887-1898.
    Modal primitivists hold that some modal truths are primitively true. They thus seem to face a special epistemological problem: how can primitive modal truths be known? The epistemological objection has not been adequately developed in the literature. I undertake to develop the objection, and then to argue that the best formulation of the epistemological objection targets all realists about modality, rather than the primitivist alone. Furthermore, the moves available to reductionists in response to the objection are also available to primitivists. (...)
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  • Is There Reason to Believe the Principle of Sufficient Reason?Jordan David Thomas Walters - 2021 - Philosophia 50 (2):1-10.
    Shamik Dasgupta (2016) proposes to tame the Principle of Sufficient Reason (PSR) to apply to only non-autonomous facts, which are facts that are apt for explanation. Call this strategy to tame the PSR the taming strategy. In a recent paper, Della Rocca (2020a) argues that proponents of the taming strategy, in attempting to formulate a restricted version of the PSR, nevertheless find themselves committed to endorsing a form of radical monism, which, in turn, leads right back to an untamed-PSR. Suppose, (...)
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  • Realism, reliability, and epistemic possibility: on modally interpreting the Benacerraf–Field challenge.Brett Topey - 2021 - Synthese 199 (1-2):4415-4436.
    A Benacerraf–Field challenge is an argument intended to show that common realist theories of a given domain are untenable: such theories make it impossible to explain how we’ve arrived at the truth in that domain, and insofar as a theory makes our reliability in a domain inexplicable, we must either reject that theory or give up the relevant beliefs. But there’s no consensus about what would count here as a satisfactory explanation of our reliability. It’s sometimes suggested that giving such (...)
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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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  • Advanced D&D.Chris Tillman & Joshua Spencer - 2020 - Analysis 80 (3):533-544.
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  • How can we come to know metaphysical modal truths?Amie L. Thomasson - 2018 - Synthese 198 (Suppl 8):2077-2106.
    Those who aim to give an account of modal knowledge face two challenges: the integration challenge of reconciling an account of what is involved in knowing modal truths with a plausible story about how we can come to know them, and the reliability challenge of giving a plausible account of how we could have evolved a reliable capacity to acquire modal knowledge. I argue that recent counterfactual and dispositional accounts of modal knowledge cannot solve these problems regarding specifically metaphysical modal (...)
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  • Debunking and Disagreement.Folke Tersman - 2017 - Noûs 51 (4):754-774.
    The fact that debunkers can turn to the argument from disagreement for help is ofcourse not a surprise. After all, both types of challenge basically pursue the same,skeptical conclusion. What I have tried to show, however, is that they are related in amore intimate way.
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  • Mathematical Knowledge and Naturalism.Fabio Sterpetti - 2019 - Philosophia 47 (1):225-247.
    How should one conceive of the method of mathematics, if one takes a naturalist stance? Mathematical knowledge is regarded as the paradigm of certain knowledge, since mathematics is based on the axiomatic method. Natural science is deeply mathematized, and science is crucial for any naturalist perspective. But mathematics seems to provide a counterexample both to methodological and ontological naturalism. To face this problem, some naturalists try to naturalize mathematics relying on Darwinism. But several difficulties arise when one tries to naturalize (...)
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  • Neutrality and Force in Field's Epistemological Objection to Platonism.Ylwa Sjölin Wirling - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
    Field’s challenge to platonists is the challenge to explain the reliable match between mathematical truth and belief. The challenge grounds an objection claiming that platonists cannot provide such an explanation. This objection is often taken to be both neutral with respect to controversial epistemological assumptions, and a comparatively forceful objection against platonists. I argue that these two characteristics are in tension: no construal of the objection in the current literature realises both, and there are strong reasons to think that no (...)
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  • An Integrative Design? How liberalised modal empiricism fails the integration challenge.Ylwa Sjölin Wirling - 2021 - Synthese 198 (6):5655-5673.
    The idea that justified modal belief can be accounted for in terms of empirically justified, non-modal belief is enjoying increasing popularity in the epistemology of modality. One alleged reason to prefer modal empiricism over more traditional, rationalist modal epistemologies is that empiricism avoids the problem with the integration challenge that arise for rationalism, assuming that we want to be realists about modal metaphysics. In this paper, I argue that given two very reasonable constraints on what it means to meet the (...)
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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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  • Is there a reliability challenge for logic?Joshua Schechter - 2018 - Philosophical Issues 28 (1):325-347.
    There are many domains about which we think we are reliable. When there is prima facie reason to believe that there is no satisfying explanation of our reliability about a domain given our background views about the world, this generates a challenge to our reliability about the domain or to our background views. This is what is often called the reliability challenge for the domain. In previous work, I discussed the reliability challenges for logic and for deductive inference. I argued (...)
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  • Modal structuralism and reflection.Sam Roberts - 2019 - Review of Symbolic Logic 12 (4):823-860.
    Modal structuralism promises an interpretation of set theory that avoids commitment to abstracta. This article investigates its underlying assumptions. In the first part, I start by highlighting some shortcomings of the standard axiomatisation of modal structuralism, and propose a new axiomatisation I call MSST (for Modal Structural Set Theory). The main theorem is that MSST interprets exactly Zermelo set theory plus the claim that every set is in some inaccessible rank of the cumulative hierarchy. In the second part of the (...)
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  • A Conventionalist Account of Distinctively Mathematical Explanation.Mark Povich - 2023 - Philosophical Problems in Science 74:171–223.
    Distinctively mathematical explanations (DMEs) explain natural phenomena primarily by appeal to mathematical facts. One important question is whether there can be an ontic account of DME. An ontic account of DME would treat the explananda and explanantia of DMEs as ontic structures and the explanatory relation between them as an ontic relation (e.g., Pincock 2015, Povich 2021). Here I present a conventionalist account of DME, defend it against objections, and argue that it should be considered ontic. Notably, if indeed it (...)
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  • Benacerraf, Field, and the agreement of mathematicians.Eileen S. Nutting - 2020 - Synthese 197 (5):2095-2110.
    Hartry Field’s epistemological challenge to the mathematical platonist is often cast as an improvement on Paul Benacerraf’s original epistemological challenge. I disagree. While Field’s challenge is more difficult for the platonist to address than Benacerraf’s, I argue that this is because Field’s version is a special case of what I call the ‘sociological challenge’. The sociological challenge applies equally to platonists and fictionalists, and addressing it requires a serious examination of mathematical practice. I argue that the non-sociological part of Field’s (...)
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  • When Do Replies to the Evolutionary Debunking Argument Against Moral Realism Beg the Question?Justin Morton - 2018 - Australasian Journal of Philosophy 97 (2):265-280.
    ABSTRACTSome proponents of the evolutionary debunking argument against moral realism believe that replies that assume substantive moral claims beg the question. In this paper, I give a new account of what's wrong with such replies. On this account, many realists beg the question when they rely on substantive moral claims in their replies to the argument, but naturalists do not. While this account generalizes to some other domains, it allows perceptual and inductive realism to remain undebunked.
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  • Mathematical platonism and the causal relevance of abstracta.Barbara Gail Montero - 2022 - Synthese 200 (6):1-18.
    Many mathematicians are platonists: they believe that the axioms of mathematics are true because they express the structure of a nonspatiotemporal, mind independent, realm. But platonism is plagued by a philosophical worry: it is unclear how we could have knowledge of an abstract, realm, unclear how nonspatiotemporal objects could causally affect our spatiotemporal cognitive faculties. Here I aim to make room in our metaphysical picture of the world for the causal relevance of abstracta.
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  • What Makes Evolution a Defeater?Matt Lutz - 2018 - Erkenntnis 83 (6):1105-1126.
    Evolutionary Debunking Arguments purport to show that our moral beliefs do not amount to knowledge because these beliefs are “debunked” by the fact that our moral beliefs are, in some way, the product of evolutionary forces. But there is a substantial gap in this argument between its main evolutionary premise and the skeptical conclusion. What is it, exactly, about the evolutionary origins of moral beliefs that would create problems for realist views in metaethics? I argue that evolutionary debunking arguments are (...)
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  • The Reality of Field’s Epistemological Challenge to Platonism.David Liggins - 2018 - Erkenntnis 83 (5):1027-1031.
    In the introduction to his Realism, mathematics and modality, and in earlier papers included in that collection, Hartry Field offered an epistemological challenge to platonism in the philosophy of mathematics. Justin Clarke-Doane Truth, objects, infinity: New perspectives on the philosophy of Paul Benacerraf, 2016) argues that Field’s challenge is an illusion: it does not pose a genuine problem for platonism. My aim is to show that Clarke-Doane’s argument relies on a misunderstanding of Field’s challenge.
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  • A dilemma for evolutionary debunking arguments.Uri D. Leibowitz - 2021 - Philosophical Studies 178 (1):45-69.
    Evolutionary debunkers claim that evolutionary explanations of moral phenomena lead to sceptical conclusions. The aim of this paper is to show that even if we grant debunkers the speculative claims that evolution provides the best explanation of moral phenomena and that there are no other moral phenomena for which moral facts/properties are indispensable, the sceptical conclusions debunkers seek to establish still do not follow. The problem for debunkers is to link the empirical explanatory claim to the normative conclusion that moral (...)
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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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  • Modal Security and Evolutionary Debunking.Daniel Z. Korman & Dustin Locke - 2023 - Midwest Studies in Philosophy 47:135-156.
    According to principles of modal security, evidence undermines a belief only when it calls into question certain purportedly important modal connections between one’s beliefs and the truth (e.g., safety or sensitivity). Justin Clarke-Doane and Dan Baras have advanced such principles with the aim of blocking evolutionary moral debunking arguments. We examine a variety of different principles of modal security, showing that some of these are too strong, failing to accommodate clear cases of undermining, while others are too weak, failing to (...)
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  • The uncanny accuracy of God's mathematical beliefs.Robert Knowles - 2021 - Religious Studies 57 (2):333-352.
    I show how mathematical platonism combined with belief in the God of classical theism can respond to Field's epistemological objection. I defend an account of divine mathematical knowledge by showing that it falls out of an independently motivated general account of divine knowledge. I use this to explain the accuracy of God's mathematical beliefs, which in turn explains the accuracy of our own. My arguments provide good news for theistic platonists, while also shedding new light on Field's influential objection.
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  • Objectivity and reliability.Justin Clarke-Doane - 2017 - Canadian Journal of Philosophy 47 (6):841-855.
    Scanlon’s Being Realistic about Reasons (BRR) is a beautiful book – sleek, sophisticated, and programmatic. One of its key aims is to demystify knowledge of normative and mathematical truths. In this article, I develop an epistemological problem that Scanlon fails to explicitly address. I argue that his “metaphysical pluralism” can be understood as a response to that problem. However, it resolves the problem only if it undercuts the objectivity of normative and mathematical inquiry.
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  • Access Problems and explanatory overkill.Silvia Jonas - 2017 - Philosophical Studies 174 (11):2731-2742.
    I argue that recent attempts to deflect Access Problems for realism about a priori domains such as mathematics, logic, morality, and modality using arguments from evolution result in two kinds of explanatory overkill: the Access Problem is eliminated for contentious domains, and realist belief becomes viciously immune to arguments from dispensability, and to non-rebutting counter-arguments more generally.
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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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  • Identifying finite cardinal abstracts.Sean C. Ebels-Duggan - 2020 - Philosophical Studies 178 (5):1603-1630.
    Objects appear to fall into different sorts, each with their own criteria for identity. This raises the question of whether sorts overlap. Abstractionists about numbers—those who think natural numbers are objects characterized by abstraction principles—face an acute version of this problem. Many abstraction principles appear to characterize the natural numbers. If each abstraction principle determines its own sort, then there is no single subject-matter of arithmetic—there are too many numbers. That is, unless objects can belong to more than one sort. (...)
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  • Why Only Us? Language and Evolution.Chris Daly - 2018 - Analysis 78 (2):381-383.
    Why Only Us? Language and Evolution By BerwickRobert C. and ChomskyNoamMassachusetts Institute of Technology, 2015. 224 pp. £17.95 paper.
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  • Why Only Us? Language and Evolution By Robert C. Berwick and Noam Chomsky.Chris Daly - forthcoming - Analysis:any018.
    © The Author 2018. Published by Oxford University Press on behalf of The Analysis Trust. All rights reserved. For permissions, please email: [email protected] article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model...This is a clear and extremely stimulating book in which the authors present a series of innovative, even unorthodox, views on the relation between language and biology. It treats the study of language, and human cognition in general, as a matter of (...)
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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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  • The ethics–mathematics analogy.Justin Clarke-Doane - 2019 - Philosophy Compass 15 (1):e12641.
    Ethics and mathematics have long invited comparisons. On the one hand, both ethical and mathematical propositions can appear to be knowable a priori, if knowable at all. On the other hand, mathematical propositions seem to admit of proof, and to enter into empirical scientific theories, in a way that ethical propositions do not. In this article, I discuss apparent similarities and differences between ethical (i.e., moral) and mathematical knowledge, realistically construed -- i.e., construed as independent of human mind and languages. (...)
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  • Set-theoretic pluralism and the Benacerraf problem.Justin Clarke-Doane - 2020 - Philosophical Studies 177 (7):2013-2030.
    Set-theoretic pluralism is an increasingly influential position in the philosophy of set theory (Balaguer [1998], Linksy and Zalta [1995], Hamkins [2012]). There is considerable room for debate about how best to formulate set-theoretic pluralism, and even about whether the view is coherent. But there is widespread agreement as to what there is to recommend the view (given that it can be formulated coherently). Unlike set-theoretic universalism, set-theoretic pluralism affords an answer to Benacerraf’s epistemological challenge. The purpose of this paper is (...)
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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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  • Immanence in Abundance.Chad Carmichael - 2022 - Erkenntnis 89 (4):1535-1553.
    In this paper, I develop a theory on which each of a thing’s abundant properties is immanent in that thing. On the version of the theory I will propose, universals are abundant, each instantiated universal is immanent, and each uninstantiated universal is such that it could have been instantiated, in which case it would have been immanent. After setting out the theory, I will defend it from David Lewis’s argument that such a combination of immanence and abundance is absurd. I (...)
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  • Can math move matter?Benjamin Callard - 2023 - Inquiry: An Interdisciplinary Journal of Philosophy 66 (3):355-380.
    In an earlier paper I suggested that we can solve the Benacerraf Problem – the problem of explaining how mathematical knowledge is possible on the assumption that the objects of mathematics are abstract and immaterial – by positing efficient causal relations between those abstract objects and our brains. The burden of the paper was to remove the appearance that relations between abstracta and concreta, far from being actual, are inconceivable. This alleged inconceivability has been derived from some putative conditions on (...)
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  • Only All Naturalists Should Worry About Only One Evolutionary Debunking Argument.Tomas Bogardus - 2016 - Ethics 126 (3):636-661.
    Do the facts of evolution generate an epistemic challenge to moral realism? Some think so, and many “evolutionary debunking arguments” have been discussed in the recent literature. But they are all murky right where it counts most: exactly which epistemic principle is meant to take us from evolutionary considerations to the skeptical conclusion? Here, I will identify several distinct species of evolutionary debunking argument in the literature, each one of which relies on a distinct epistemic principle. Drawing on recent work (...)
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  • Knowledge is Believing Something Because It's True.Tomas Bogardus & Will Perrin - 2022 - Episteme 19 (2):178-196.
    Modalists think that knowledge requires forming your belief in a “modally stable” way: using a method that wouldn't easily go wrong, or using a method that wouldn't have given you this belief had it been false. Recent Modalist projects from Justin Clarke-Doane and Dan Baras defend a principle they call “Modal Security,” roughly: if evidence undermines your belief, then it must give you a reason to doubt the safety or sensitivity of your belief. Another recent Modalist project from Carlotta Pavese (...)
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  • 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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  • Explanationism versus Modalism in Debunking (and Theory Choice).Harjit Bhogal - 2023 - Mind 132 (528):1005-1027.
    At the core of the recent debate over moral debunking arguments is a disagreement between explanationist and modalist approaches. Explanationists think that the lack of an explanatory connection between our moral beliefs and the moral truths, given a non-naturalist realist conception of morality, is a reason to reject non-naturalism. Modalists disagree. They say that, given non-naturalism, our beliefs have the appropriate modal features with respect to truth -- in particular they are safe and sensitive -- so there is no problem. (...)
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  • Justin Clarke Doane: Morality and Mathematics Oxford, UK: Oxford University Press, 2020 hardback, 9780198823667, 208pp. [REVIEW]Sharon Berry - 2023 - Ethical Theory and Moral Practice 26 (4):627-630.
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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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  • Our Reliability is in Principle Explainable.Dan Baras - 2017 - Episteme 14 (2):197-211.
    Non-skeptical robust realists about normativity, mathematics, or any other domain of non- causal truths are committed to a correlation between their beliefs and non- causal, mind-independent facts. Hartry Field and others have argued that if realists cannot explain this striking correlation, that is a strong reason to reject their theory. Some consider this argument, known as the Benacerraf–Field argument, as the strongest challenge to robust realism about mathematics, normativity, and even logic. In this article I offer two closely related accounts (...)
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  • How can necessary facts call for explanation.Dan Baras - 2020 - Synthese 198 (12):11607-11624.
    While there has been much discussion about what makes some mathematical proofs more explanatory than others, and what are mathematical coincidences, in this article I explore the distinct phenomenon of mathematical facts that call for explanation. The existence of mathematical facts that call for explanation stands in tension with virtually all existing accounts of “calling for explanation”, which imply that necessary facts cannot call for explanation. In this paper I explore what theoretical revisions are needed in order to accommodate this (...)
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