Results for 'Benacerraf-Field challenge'

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  1.  28
    Philosophy of Mathematics: Selected Readings.Paul Benacerraf & Hilary Putnam (eds.) - 1964 - Englewood Cliffs, NJ, USA: Cambridge University Press.
    The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox, a challenge to 'classical' mathematics from a world-famous mathematician, a new foundational school, and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present (...)
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  2. Philosophy of mathematics: selected readings.Paul Benacerraf & Hilary Putnam (eds.) - 1983 - New York: Cambridge University Press.
    The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel (...)
  3. Realism, reliability, and epistemic possibility: on modally interpreting the BenacerrafField challenge.Brett Topey - 2021 - Synthese 199 (1-2):4415-4436.
    A BenacerrafField 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 (...)
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  4. Old wine in new bottles: Evolutionary debunking arguments and the BenacerrafField challenge.Michael Klenk - 2017 - Ethical Theory and Moral Practice 20 (4):781-795.
    Evolutionary debunking arguments purport to show that robust moral realism, the metaethical view that there are non-natural and mind-independent moral properties and facts that we can know about, is incompatible with evolutionary explanations of morality. One of the most prominent evolutionary debunking arguments is advanced by Sharon Street, who argues that if moral realism were true, then objective moral knowledge is unlikely because realist moral properties are evolutionary irrelevant and moral beliefs about those properties would not be selected for. However, (...)
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  5. 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 (...)
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  6. Mathematical truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.
  7. The practicalities of ethical accountability.Chris Field - 2017 - In Thomas R. Frame & Albert Palazzo (eds.), Ethics under fire: challenges for the Australian Army. Sydney, New South Wales: University of New South Wales Press.
     
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  8.  6
    Cultivating perception through artworks: phenomenological enactments of ethics, politics, and culture.Helen A. Fielding - 2021 - Bloomington, Indiana: Indiana University Press.
    What are the ethical, political and cultural consequences of forgetting how to trust our senses? How can artworks help us see, sense, think, and interact in ways that are outside of the systems of convention and order that frame so much of our lives? In Cultivating Perception through Artworks, Helen Fielding challenges us to think alongside and according to artworks, cultivating a perception of what is really there and being expressed by them. Drawing from and expanding on the work of (...)
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  9. At least you tried: The value of De Dicto concern to do the right thing.Claire Https://Orcidorg Field - 2022 - Philosophical Studies 179 (9):2707-2730.
    I argue that there are some situations in which it is praiseworthy to be motivated only by moral rightness de dicto, even if this results in wrongdoing. I consider a set of cases that are challenging for views that dispute this, prioritising concern for what is morally important in moral evaluation. In these cases, the agent is not concerned about what is morally important, does the wrong thing, but nevertheless seems praiseworthy rather than blameworthy. I argue that the views under (...)
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  10. Recklessness and Uncertainty: Jackson Cases and Merely Apparent Asymmetry.Claire Https://Orcidorg Field - 2019 - Journal of Moral Philosophy 16 (4):391-413.
    Is normative uncertainty like factual uncertainty? Should it have the same effects on our actions? Some have thought not. Those who defend an asymmetry between normative and factual uncertainty typically do so as part of the claim that our moral beliefs in general are irrelevant to both the moral value and the moral worth of our actions. Here I use the consideration of Jackson cases to challenge this view, arguing that we can explain away the apparent asymmetries between normative (...)
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  11. Naive truth and restricted quantification: Saving truth a whole lot better.Hartry Field - 2014 - Review of Symbolic Logic 7 (1):1-45.
    Restricted quantification poses a serious and under-appreciated challenge for nonclassical approaches to both vagueness and the semantic paradoxes. It is tempting to explain as ; but in the nonclassical logics typically used in dealing with vagueness and the semantic paradoxes (even those where thend expect. If we’re going to use a nonclassical logic, we need one that handles restricted quantification better.
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  12. 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 (...). (shrink)
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  13. The Politics of Being Part of Nature.Sandra Leonie Field - 2020 - Australasian Philosophical Review 4 (3):225-235.
    ABSTRACT Genevieve Lloyd argues that when we follow Spinoza in understanding reason as a part of nature, we gain new insights into the human condition. Specifically, we gain a new political insight: we should respond to cultural difference with a pluralist ethos. This is because there is no pure universal reason; human minds find their reason shaped differently by their various embodied social contexts. Furthermore, we can use the resources of the imagination to bring this ethos about. In my response, (...)
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  14. 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 (...)
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  15. White Logic and the Constancy of Color.Helen A. Fielding - 2006 - In Dorothea Olkowski & Gail Weiss (eds.), Feminist Interpretations of Maurice Merleau-Ponty. University Park, Pennsylvania, USA: Pennsylvania State University Press. pp. 71-89.
    This chapter considers the ways in which whiteness as a skin color and ideology becomes a dominant level that sets the background against which all things, people and relations appear. Drawing on Merleau-Ponty's phenomenology, it takes up a series of films by Bruce Nauman and Marlon Riggs to consider ways in which this level is phenomenally challenged providing insights into the embodiment of racialization.
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  16.  22
    On ‘The Myth of the Learning Society’.John Field & Michael Strain - 1997 - British Journal of Educational Studies 45 (2):141-155.
    A recent critique by Hughes and Tight argued that the 'Learning Society 'and related notions of productivity and change are 'myths'. In response, it is argued here that myth should not be confused with ideological distortion. The rhetorical dimension of current initiatives is a necessary feature of theoretical formulation, intended to influence public discussion and policy-making. The concepts of productivity and change are reconsidered in a wider historical dimension and the communitarian aspects of the project are shown to have a (...)
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  17.  39
    Ethics of the Heart: Ethical and Policy Challenges in the Treatment of Advanced Heart Failure.Anjali V. Fields & James N. Kirkpatrick - 2012 - Perspectives in Biology and Medicine 55 (1):71-80.
    Heart disease is the leading cause of death amongst adult Americans and has recently become a top killer worldwide. The direct costs of cardiovascular disease are projected to triple in the next 20 years, from $272.5 billion to $818.1 billion (Heidenreich et al. 2011). Although there has been a decreased incidence and prevalence of ischemic heart disease over the past several decades in the United States, heart failure remains a major cause of morbidity and mortality. In the United States, approximately (...)
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  18.  42
    Body measures: Phenomenological considerations of corporeal ethics.Helen A. Fielding - 1998 - Journal of Medicine and Philosophy 23 (5):533 – 545.
    The development of bioethics primarily at the cognitive level further perpetuates the tendency to construe all aspects of our lives, including our bodies, as technical systems. For example, if we consider the moral issue of organ sales without taking our embodiment into account, there appear to be no sound arguments for opposing such sales. However, it is important to consider the aspects of the phenomenal body that challenge rational deliberation by exploring an embodied approach to the ethical dilemma produced (...)
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  19.  46
    Whole School Meetings and the Development of Radical Democratic Community.Michael Fielding - 2010 - Studies in Philosophy and Education 32 (2):123-140.
    Serious re-examination of participatory traditions of democracy is long overdue. Iconically central to such traditions of democratic education is the practice of whole School Meetings. More usually associated with radical work within the private sector, School Meetings are here explored in detail through two examples from publicly funded education, Epping House School, a mixed residential primary/elementary school for students with severe emotional, social and behavioural difficulties and secondary/high schools within the Just Community School movement in the USA. In addition to (...)
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  20. The State: Spinoza's Institutional Turn.Sandra Field - 2015 - In Andre Santos Campos (ed.), Spinoza: Basic Concepts. Imprint Academic. pp. 142-154.
    The concept of imperium is central to Spinoza's political philosophy. Imperium denotes authority to rule, or sovereignty. By extension, it also denotes the political order structured by that sovereignty, or in other words, the state. Spinoza argues that reason recommends that we live in a state, and indeed, humans are hardly ever outside a state. But what is the source and scope of the sovereignty under which we live? In some sense, it is linked to popular power, but how precisely, (...)
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  21.  5
    Breakdown and Breakthrough: Psychotherapy in a New Dimension.Nathan Field - 1996 - Routledge.
    Breakdown and Breakthrough examines the essential role of regression in the patient's recovery from mental illness. In light of this Nathan Field reassesses the role of the therapist tracing psychotherapy back to its earliest spiritual roots and comparing modern analytic methods with ancient practices of healing and exorcism. The author uses vivid examples from his psychotherapeutic practice to show how, with the apparent breakdown of the therapeutic method itself, patients can break through to a new level of functioning. The (...)
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  22.  22
    A Phenomenology of “The Other World”.Helen A. Fielding - 2007 - Chiasmi International 9:221-234.
    As we know, Merleau-Ponty was struggling with a dynamic shift in his thinking at the premature end of his life. In those last notes he raises the question of how to elaborate a phenomenology of “’the other world’, as the limit of a phenomenology of the imaginary and the ‘hidden’”—a phenomenology that would open onto an invisible life, community, other and culture (VI, Jan. 1960). In her essay on “Eye and Mind”, “To Paint the Invisible”, Luce Irigaray shows why Merleau-Ponty (...)
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  23.  37
    Blondel’s L’Action (1893) and Neo-Thomism’s Metaphysics of Symbol.Stephen Fields - 1993 - Philosophy and Theology 8 (1):25-40.
    The first three sections of this study explain the debt that Karl Rahner’s metaphysics of symbol owes to the influence of Maurice Blondel and Joseph Maréchal. The concluding section suggests that a Blondel-inspired renewal of the metaphysics of symbol could challenge the restricted claim for reason offered by secular and religious post-modernity.
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  24.  32
    Caring relationships with natural and artificial environments.Terri Field - 1995 - Environmental Ethics 17 (3):307-320.
    A relational-self theory claims that one’s self is constituted by one’s relationships. The type of ethics that is said to arise from this concept of self is often called an ethics of care, whereby the focus of ethical deliberation is on preserving and nurturing those relationships. Some environmental philosophers advocating a relational-self theory tend to assume that the particular relationships that constitute the self will prioritize the natural world. I question this assumption by introducing the problem of artifact relationships. It (...)
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  25.  21
    Caring relationships with the natural and artifical environments.Terri Field - 1995 - Environmental Ethics 17 (3):307-320.
    A relational-self theory claims that one’s self is constituted by one’s relationships. The type of ethics that is said to arise from this concept of self is often called an ethics of care, whereby the focus of ethical deliberation is on preserving and nurturing those relationships. Some environmental philosophers advocating a relational-self theory tend to assume that the particular relationships that constitute the self will prioritize the natural world. I question this assumption by introducing the problem of artifact relationships. It (...)
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  26.  8
    Caring Relationships with Natural and Artificial Environments.Terri Field - 1995 - Environmental Ethics 17 (3):307-320.
    A relational-self theory claims that one’s self is constituted by one’s relationships. The type of ethics that is said to arise from this concept of self is often called an ethics of care, whereby the focus of ethical deliberation is on preserving and nurturing those relationships. Some environmental philosophers advocating a relational-self theory tend to assume that the particular relationships that constitute the self will prioritize the natural world. I question this assumption by introducing the problem of artifact relationships. It (...)
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  27.  7
    Integrating Models and Narratives to Better Explain the Evolution of Cooperation.Archie Fields - unknown
    Questions surrounding the evolution of cooperation, especially human cooperation, have driven research in many disciplines. Two key methodologies used to research and explain the evolution of cooperation are modeling and narrative construction. A number of scientists and philosophers have suggested that advancing research on the evolution of cooperation will require integrating models and narratives. But, relatively little has been said about what challenges exist to integrating models and narratives, how to go about integrating models and narratives, and what particular benefits (...)
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  28.  21
    Images, Ontology, and Uncertain Knowledge.James M. Fielding & Dirk Marwede - 2011 - Philosophy, Psychiatry, and Psychology 18 (4):319-321.
    We would first of all like to thank Thor Grünbaum and Andrea Raballo for their thoughtful and lively commentary on our work. We would also like to thank Daniel Rubin for taking this opportunity to describe in detail some of the research carried out in this domain since our paper was first written. Although their commentaries may seem to fall on opposite ends of the critical scale, so to speak, taken together they provide an opportunity to take stock of the (...)
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  29.  5
    Mapping the International Underground: Jeff Nuttall and Global Counterculture.Douglas Field - 2017 - Bulletin of the John Rylands Library 93 (1):1-21.
    Despite publishing nearly forty books between 1963 and 2003, Jeff Nuttall remains a minor figure in the history of the International Underground of the long 1960s. Drawing on his uncatalogued papers at the John Rylands Library, this article seeks to recoup Nuttall as one of the key architects of the International Underground. In so doing, my article argues that Nuttalls contributions to global counterculture challenge the critical consensus that British avant-garde writers were merely imitators of their US counterparts. By (...)
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  30.  13
    Pointing the way’: Alex Bloom and A.S. Neill on the enduring necessity and enacted possibility of radical democratic education as ‘a method of life.Michael Fielding - 2022 - Journal of Philosophy of Education 56 (6):970-984.
    Prompted by the centenary of the founding of Summerhill, in my contribution to this JOPE Suite on Democratic Education, I briefly explore both the admiring reciprocity and the subsidiary but significant differences of praxis between A.S. Neill and Alex Bloom, two remarkable pioneers of education in and for participatory democracy as a way of life. Because A.S. Neill's work is internationally renowned and Alex Bloom's has yet to re-establish the worldwide recognition it had in his own lifetime, my emphasis is (...)
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  31.  11
    Yahoo? Reining in the Wild West with the Alien Tort Claims Act.Alex Fielding - 2008 - Human Rights Review 9 (4):513-523.
    In the wake of globalisation, we have witnessed the rise of the transnational corporation—powerful, new players in an international human rights system ill-equipped to handle the challenge. Despite the best efforts of the United Nations, international treaties and human rights lawyers the world over, there is simply no mandatory international code of corporate conduct targeting human rights practices. Enter the Alien Tort Claims Act (ATCA), a once-obscure U.S. statute that provides a private cause of action for violations of international (...)
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  32. LinkSuite™: Software Tools for Formally Robust Ontology-Based Data and Information Integration.Werner Ceusters, Barry Smith & James Matthew Fielding - 2004 - In Proceedings of DILS 2004 (Data Integration in the Life Sciences), (Lecture Notes in Bioinformatics, 2994). Springer. pp. 1-16.
    The integration of information resources in the life sciences is one of the most challenging problems facing bioinformatics today. We describe how Language and Computing nv, originally a developer of ontology-based natural language understanding systems for the healthcare domain, is developing a framework for the integration of structured data with unstructured information contained in natural language texts. L&C’s LinkSuite™ combines the flexibility of a modular software architecture with an ontology based on rigorous philosophical and logical principles that is designed to (...)
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  33.  19
    Experience and Value: A Contextualist Approach to Axiology.Field Richard W. - 1986 - Dissertation, Southern Illinois University at Carbondale
    In this dissertation I offer a theory of intrinsic value based on contextualist principles drawn from the value theories of John Dewey and Alfred North Whitehead. The point of departure for the argument is the contextualist view that the qualitative patters representing in experience objects of states of affairs to which we attribute values provide necessary, but not sufficient, conditions to elicit particular valuations, and ground the evaluative judgments we make. The sufficient conditions for valuation include a broader context of (...)
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  34. China and England: On the Structural Convergence of Political Values. [REVIEW]Sandra Leonie Field - 2020 - Journal of World Philosophies 5 (1):188-195.
    At the centre of Powers' (2019) China and England is an extraordinary forgotten episode in the history of political ideas. There was a time when English radicals critiqued the corruption and injustice of the English political system by contrasting it with the superior example of China. There was a time when they advocated adopting a Chinese conceptual framework for thinking about politics. So dominant and prevalent was the English radicals' use of this framework, that their opponents took to dismissing their (...)
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  35. Spinoza and the Freedom of Philosophizing. [REVIEW]Sandra Leonie Field - forthcoming - History of Political Thought.
    In this review, I outline Lærke's interpretation of Spinoza's freedom of philosophizing as a rich, positive freedom, encompassing but extending far beyond mere legal permission for free expression. Lærke's book takes on the challenge to explain how such freedom is to be brought about. I suggest that Lærke's reconstruction overlooks a central plank of Spinoza's approach: the role of good institutional design in supporting freedom. The longer version is the original author submission; the shorter version was trimmed on the (...)
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  36. 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 BenacerrafField argument, as the strongest challenge to robust realism about mathematics, normativity, and even logic. In this article I offer (...)
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  37.  7
    The Attack of the Blob: Hannah Arendt’s Concept of the Social. [REVIEW]Christopher Field - 1999 - Review of Metaphysics 53 (2):470-470.
    In the spirit of twentieth century philosophers who personally participate in the interplay of their social and political ideology, Hannah Arendt gives an account of the onus of profound personal liberty and how persons might limn solutions to vexing social situations. Nevertheless, Arendt employs B-movie imagery as an analogue for what she sees as our overwhelming immersion in “the social,” the enveloping force which enervates our personal freedom and acts as a dehumanizing, depoliticizing force. “The Blob” acts as a juggernaut (...)
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  38.  7
    Science and Math Interest and Gender Stereotypes: The Role of Educator Gender in Informal Science Learning Sites.Luke McGuire, Tina Monzavi, Adam J. Hoffman, Fidelia Law, Matthew J. Irvin, Mark Winterbottom, Adam Hartstone-Rose, Adam Rutland, Karen P. Burns, Laurence Butler, Marc Drews, Grace E. Fields & Kelly Lynn Mulvey - 2021 - Frontiers in Psychology 12.
    Interest in science and math plays an important role in encouraging STEM motivation and career aspirations. This interest decreases for girls between late childhood and adolescence. Relatedly, positive mentoring experiences with female teachers can protect girls against losing interest. The present study examines whether visitors to informal science learning sites differ in their expressed science and math interest, as well as their science and math stereotypes following an interaction with either a male or female educator. Participants were visitors to one (...)
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  39. A reliability challenge to theistic Platonism.Dan Baras - 2017 - Analysis 77 (3):479-487.
    Many philosophers believe that when a theory is committed to an apparently unexplainable massive correlation, that fact counts significantly against the theory. Philosophical theories that imply that we have knowledge of non-causal mind-independent facts are especially prone to this objection. Prominent examples of such theories are mathematical Platonism, robust normative realism and modal realism. It is sometimes thought that theists can easily respond to this sort of challenge and that theism therefore has an epistemic advantage over atheism. In this (...)
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  40. Morality and Mathematics: The Evolutionary Challenge.Justin Clarke-Doane - 2012 - Ethics 122 (2):313-340.
    It is commonly suggested that evolutionary considerations generate an epistemological challenge for moral realism. At first approximation, the challenge for the moral realist is to explain our having many true moral beliefs, given that those beliefs are the products of evolutionary forces that would be indifferent to the moral truth. An important question surrounding this challenge is the extent to which it generalizes. In particular, it is of interest whether the Evolutionary Challenge for moral realism is (...)
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  41.  21
    Truth, Objects, Infinity: New Perspectives on the Philosophy of Paul Benacerraf.Fabrice Pataut (ed.) - 2016 - Cham: Springer Verlag.
    This volume features essays about and by Paul Benacerraf, whose ideas have circulated in the philosophical community since the early nineteen sixties, shaping key areas in the philosophy of mathematics, the philosophy of language, the philosophy of logic, and epistemology. The book started as a worskhop held in Paris at the Collège de France in May 2012 with the participation of Paul Benacerraf. The introduction addresses the methodological point of the legitimate use of so-called “Princess Margaret Premises” in (...)
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  42. Development of FuGO: An ontology for functional genomics investigations.Patricia L. Whetzel, Ryan R. Brinkman, Helen C. Causton, Liju Fan, Dawn Field, Jennifer Fostel, Gilberto Fragoso, Tanya Gray, Mervi Heiskana, Tina Hernandez-Boussard & Barry Smith - 2006 - Omics: A Journal of Integrative Biology 10 (2):199-204.
    The development of the Functional Genomics Investigation Ontology (FuGO) is a collaborative, international effort that will provide a resource for annotating functional genomics investigations, including the study design, protocols and instrumentation used, the data generated and the types of analysis performed on the data. FuGO will contain both terms that are universal to all functional genomics investigations and those that are domain specific. In this way, the ontology will serve as the “semantic glue” to provide a common understanding of data (...)
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  43. Could Evolution Explain Our Reliability about Logic.Joshua Schechter - 2005 - In Tamar Szabó Gendler & John Hawthorne (eds.), Oxford Studies in Epistemology. Oxford University Press. pp. 214.
    We are reliable about logic in the sense that we by-and-large believe logical truths and disbelieve logical falsehoods. Given that logic is an objective subject matter, it is difficult to provide a satisfying explanation of our reliability. This generates a significant epistemological challenge, analogous to the well-known Benacerraf-Field problem for mathematical Platonism. One initially plausible way to answer the challenge is to appeal to evolution by natural selection. The central idea is that being able to correctly (...)
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  44. 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 (...)
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  45. What is Field's Epistemological Objection to Platonism?Ylwa Sjölin Wirling - 2019 - In Robin Stenwall & Tobias Hansson Wahlberg (eds.), Maurinian Truths : Essays in Honour of Anna-Sofia Maurin on her 50th Birthday. Lund, Sverige: Department of Philosophy, Lund University. pp. 123-133.
    This paper concerns an epistemological objection against mathematical platonism, due to Hartry Field.The argument poses an explanatory challenge – the challenge to explain the reliability of our mathematical beliefs – which the platonist, it’s argued, cannot meet. Is the objection compelling? Philosophers disagree, but they also disagree on (and are sometimes very unclear about) how the objection should be understood. Here I distinguish some options, and highlight some gaps that need to be filled in on the potentially (...)
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  46. Debunking and Dispensability.Justin Clarke-Doane - 2016 - In Uri D. Leibowitz & Neil Sinclair (eds.), Explanation in Ethics and Mathematics: Debunking and Dispensability. Oxford, England: Oxford University Press UK.
    In his précis of a recent book, Richard Joyce writes, “My contention…is that…any epistemological benefit-of-the-doubt that might have been extended to moral beliefs…will be neutralized by the availability of an empirically confirmed moral genealogy that nowhere…presupposes their truth.” Such reasoning – falling under the heading “Genealogical Debunking Arguments” – is now commonplace. But how might “the availability of an empirically confirmed moral genealogy that nowhere… presupposes” the truth of our moral beliefs “neutralize” whatever “epistemological benefit-of-the-doubt that might have been extended (...)
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  47. 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 (...)
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  48. Justification and Explanation in Mathematics and Morality.Justin Clarke-Doane - 2015 - Oxford Studies in Metaethics 10.
    In his influential book, The Nature of Morality, Gilbert Harman writes: “In explaining the observations that support a physical theory, scientists typically appeal to mathematical principles. On the other hand, one never seems to need to appeal in this way to moral principles.” What is the epistemological relevance of this contrast, if genuine? This chapter argues that ethicists and philosophers of mathematics have misunderstood it. They have confused what the chapter calls the justificatory challenge for realism about an area, (...)
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    Wittgenstein's Anti-Platonism and Benacerraf's Challenge.Silvio Mota Pinto - 2015 - Philosophical Papers 44 (3):345-376.
    Does Wittgenstein have a coherent philosophy of mathematics? Here, I will be concerned with showing that the answer is positive. However, given that his life-long philosophical perspective on mathematics tends to be misleading, I focus on the specific problem posed by Paul Benacerraf in ‘Mathematical Truth’, that is: the puzzle about how to reconcile the metaphysics with the epistemology for mathematics. My aim is to show that there is an adequate anti-platonistic solution to that puzzle in the mature writings (...)
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  50. Pragmatic accounts of justification, epistemic analyticity, and other routes to easy knowledge of abstracta.Brett Topey - forthcoming - In Xavier de Donato-Rodríguez, José Falguera & Concha Martínez-Vidal (eds.), Deflationist Conceptions of Abstract Objects. Springer.
    One common attitude toward abstract objects is a kind of platonism: a view on which those objects are mind-independent and causally inert. But there's an epistemological problem here: given any naturalistically respectable understanding of how our minds work, we can't be in any sort of contact with mind-independent, causally inert objects. So platonists, in order to avoid skepticism, tend to endorse epistemological theories on which knowledge is easy, in the sense that it requires no such contact—appeals to Boghossian’s notion of (...)
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