Results for 'Allan Snyder'

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  1. Does Faith Entail Belief?Daniel Howard-Snyder - 2016 - Faith and Philosophy 33 (2):142-162.
    Does faith that p entail belief that p? If faith that p is identical with belief that p, it does. But it isn’t. Even so, faith that p might be necessarily partly constituted by belief that p, or at least entail it. Of course, even if faith that p entails belief that p, it does not follow that faith that p is necessarily partly constituted by belief that p. Still, showing that faith that p entails belief that p would be (...)
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  2. Propositional faith: what it is and what it is not.Daniel Howard-Snyder - 1995 - American Philosophical Quarterly 50 (4):357-372.
    Reprinted in Philosophy of Religion: An Anthology, Wadsworth 2015, 6th edition, eds Michael Rea and Louis Pojman. What is propositional faith? At a first approximation, we might answer that it is the psychological attitude picked out by standard uses of the English locution “S has faith that p,” where p takes declarative sentences as instances, as in “He has faith that they’ll win”. Although correct, this answer is not nearly as informative as we might like. Many people say that there (...)
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  3. The Skeptical Christian.Daniel Howard-Snyder - 2017 - Oxford Studies in Philosophy of Religion 8:142-167.
    This essay is a detailed study of William P. Alston’s view on the nature of Christian faith, which I assess in the context of three problems: the problem of the skeptical Christian, the problem of faith and reason, and the problem of the trajectory. Although Alston intended a view that would solve these problems, it does so only superficially. Fortunately, we can distinguish Alston’s view, on the one hand, from Alston’s illustrations of it, on the other hand. I argue that, (...)
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  4. Two Aristotelian Theories of Existential Import.Allan Bäck - 2011 - Aportía 2:4-24.
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  5. (1 other version)Epistemic humility, arguments from evil, and moral skepticism.Daniel Howard-Snyder - 2009 - Oxford Studies in Philosophy of Religion 2:17-57.
    Reprinted in Philosophy of Religion: An Anthology, Wadsworth, 2013, 6th edition, eds. Michael Rea and Louis Pojman. In this essay, I argue that the moral skepticism objection to what is badly named "skeptical theism" fails.
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  6. Infallibilism and Gettier’s Legacy.Daniel Howard-Snyder - 2003 - Philosophy and Phenomenological Research 66 (2):304 - 327.
    Infallibilism is the view that a belief cannot be at once warranted and false. In this essay we assess three nonpartisan arguments for infallibilism, arguments that do not depend on a prior commitment to some substantive theory of warrant. Three premises, one from each argument, are most significant: (1) if a belief can be at once warranted and false, then the Gettier Problem cannot be solved; (2) if a belief can be at once warranted and false, then its warrant can (...)
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  7. The Argument from Divine Hiddenness.Daniel Howard-Snyder - 1996 - Canadian Journal of Philosophy 26 (3):433 - 453.
    Do we rightly expect a perfectly loving God to bring it about that, right now, we reasonably believe that He exists? It seems so. For love at its best desires the well-being of the beloved, not from a distance, but up close, explicitly participating in her life in a personal fashion, allowing her to draw from that relationship what she may need to flourish. But why suppose that we would be significantly better off were God to engage in an explicit, (...)
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  8. Schellenberg on Propositional Faith.Daniel Howard-Snyder - 2013 - Religious Studies (2):181-194.
    This paper assesses J. L. Schellenberg’s account of propositional faith and, in light of that assessment, sketches an alternative that avoids certain objections and coheres better with Schellenberg’s aims.
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  9. Divine Openness and Creaturely Non-Resistant Non-Belief.Daniel Howard-Snyder - 2015 - In Adam Green & Eleonore Stump (eds.), Hidden Divinity and Religious Belief: New Perspectives. Cambridge: Cambridge University Press.
    We might be tempted to think that, necessarily, if God unsurpassably loves such created persons as there may be, then for any capable created person S and time t, God is at t open to being in a positively meaningful and reciprocal conscious relationship with S at t, where one is open to relationship with another only if one never does anything (by commission or omission) that would have the result that the other was prevented from being able, just by (...)
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  10. God, evil, and suffering.Daniel Howard-Snyder - 1999 - In Michael J. Murray (ed.), Reason for the Hope Within. Eerdmans. pp. 217--237.
    This essay is aimed at a theistic audience, mainly those who are new to thinking hard about the problem of evil.
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  11. The logical problem of evil: Mackie and Plantinga.Daniel Howard-Snyder - 2014 - In Justin P. McBrayer & Daniel Howard-Snyder (eds.), The Blackwell Companion to The Problem of Evil. Wiley. pp. 19-33.
    J.L. Mackie’s version of the logical problem of evil is a failure, as even he came to recognize. Contrary to current mythology, however, its failure was not established by Alvin Plantinga’s Free Will Defense. That’s because a defense is successful only if it is not reasonable to refrain from believing any of the claims that constitute it, but it is reasonable to refrain from believing the central claim of Plantinga’s Free Will Defense, namely the claim that, possibly, every essence suffers (...)
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  12. Number Concepts: An Interdisciplinary Inquiry.Richard Samuels & Eric Snyder - 2024 - Cambridge University Press.
    This Element, written for researchers and students in philosophy and the behavioral sciences, reviews and critically assesses extant work on number concepts in developmental psychology and cognitive science. It has four main aims. First, it characterizes the core commitments of mainstream number cognition research, including the commitment to representationalism, the hypothesis that there exist certain number-specific cognitive systems, and the key milestones in the development of number cognition. Second, it provides a taxonomy of influential views within mainstream number cognition research, (...)
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  13. Higher-Order Epistemic Attitudes and Intellectual Humility.Allan Hazlett - 2012 - Episteme 9 (3):205-223.
    This paper concerns would-be necessary connections between doxastic attitudes about the epistemic statuses of your doxastic attitudes, or ‘higher-order epistemic attitudes’, and the epistemic statuses of those doxastic attitudes. I will argue that, in some situations, it can be reasonable for a person to believe p and to suspend judgment about whether believing p is reasonable for her. This will set the stage for an account of the virtue of intellectual humility, on which humility is a matter of your higher-order (...)
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  14. Trinity Monotheism.Daniel Howard-Snyder - 2003 - Philosophia Christi 5 (2):375 - 403.
    Reprinted in Philosophical and Theological Essays on the Trinity, Oxford, 2009, eds Michael Rea and Thomas McCall. In this essay, I assess a certain version of ’social Trinitarianism’ put forward by J. P. Moreland and William Lane Craig, ’trinity monotheism’. I first show how their response to a familiar anti-Trinitarian argument arguably implies polytheism. I then show how they invoke three tenets central to their trinity monotheism in order to avoid that implication. After displaying these tenets more fully, I argue (...)
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  15. Who or What is God, According to John Hick?Daniel Howard-Snyder - 2017 - Topoi 36 (4):571-586.
    I summarize John Hick’s pluralistic theory of the world’s great religions, largely in his own voice. I then focus on the core posit of his theory, what he calls “the Real,” but which I less tendentiously call “Godhick”. Godhick is supposed to be the ultimate religious reality. As such, it must be both possible and capable of explanatory and religious significance. Unfortunately, Godhick is, by definition, transcategorial, i.e. necessarily, for any creaturely conceivable substantial property F, it is neither an F (...)
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  16. Three arguments against foundationalism: arbitrariness, epistemic regress, and existential support.Daniel Howard-Snyder & E. J. Coffman - 2006 - Canadian Journal of Philosophy 36 (4):535-564.
    Foundationalism is false; after all, foundational beliefs are arbitrary, they do not solve the epistemic regress problem, and they cannot exist withoutother (justified) beliefs. Or so some people say. In this essay, we assess some arguments based on such claims, arguments suggested in recent work by Peter Klein and Ernest Sosa.
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  17. Agnosticism, the Moral Skepticism Objection, and Commonsense Morality.Daniel Howard-Snyder - 2014 - In Justin McBrayer Trent Dougherty (ed.), Skeptical Theism: New Essays. Oxford University Press.
    According to Agnosticism with a capital A, even if we don’t see how any reason we know of would justify God in permitting all the evil in the world and even if we lack evidential and non-evidential warrant for theism, we should not infer that there probably is no reason that would justify God. That’s because, under those conditions, we should be in doubt about whether the goods we know of constitute a representative sample of all the goods there are, (...)
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  18. Factive Presupposition and the Truth Condition on Knowledge.Allan Hazlett - 2012 - Acta Analytica 27 (4):461-478.
    In “The Myth of Factive Verbs” (Hazlett 2010), I had four closely related goals. The first (pp. 497-99, p. 522) was to criticize appeals to ordinary language in epistemology. The second (p. 499) was to criticize the argument that truth is a necessary condition on knowledge because “knows” is factive. The third (pp. 507-19) – which was the intended means of achieving the first two – was to defend a semantics for “knows” on which <S knows p> can be true (...)
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  19. The Christian Theodicist's Appeal to Love.Daniel Howard-Snyder & Frances Howard-Snyder - 1993 - Religious Studies 29 (2):185 - 192.
    Many Christian theodicists believe that God's creating us with the capacity to love Him and each other justifies, in large part, God's permitting evil. For example, after reminding us that, according to Christian doctrine, the supreme good for human beings is to enter into a reciprocal love relationship with God, Vincent Brummer recently wrote: In creating human persons in order to love them, God necessarily assumes vulnerability in relation to them. In fact, in this relation, he becomes even more vulnerable (...)
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  20. Was Jesus Mad, Bad, or God?... Or Merely Mistaken?Daniel Howard-Snyder - 2004 - Faith and Philosophy 21 (4):456-479.
    Reprinted in Oxford Readings in Philosophical Theology, Volume 1: Trinity, Incarnation, and Atonement, Oxford 2009, ed. Michael Rea. A popular argument for the divinity of Jesus goes like this. Jesus claimed to be divine, but if his claim was false, then either he was insane (mad) or lying (bad), both of which are very unlikely; so, he was divine. I present two objections to this argument. The first, the dwindling probabilities objection, contends that even if we make generous probability assignments (...)
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  21. Panmetaphoricism.Daniel Howard-Snyder - 2017 - Religious Studies 53:25-49.
    Panmetaphoricism is the view that our speech about God can only be metaphorical. In this essay, I do not assess the reasons that have been given for the view. Rather, I assess the view itself. My aim is to develop the most plausible version of panmetaphoricism in order to gain a clear view of the God it offers for our consideration.
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  22. The Imperceptibility of Style in Danto's Theory of Art: Metaphor and the Artist's Knowledge.Stephen Snyder - 2015 - CounterText 1 (3).
    Arthur Danto’s analytic theory of art relies on a form of artistic interpretation that requires access to the art theoretical concepts of the artworld, ‘an atmosphere of artistic theory, a knowledge of the history of art: an artworld’. Art, in what Danto refers to as post-history, has become theoretical, yet it is here contended that his explanation of the artist’s creative style lacks a theoretical dimension. This article examines Danto’s account of style in light of the role the artistic metaphor (...)
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  23. Theism, the Hypothesis of Indifference, and the Biological Role of Pain and Pleasure.Daniel Howard-Snyder - 1994 - Faith and Philosophy 11 (3):452-466.
    Following Hume’s lead, Paul Draper argues that, given the biological role played by both pain and pleasure in goal-directed organic systems, the observed facts about pain and pleasure in the world are antecedently much more likely on the Hypothesis of Indifference than on theism. I examine one by one Draper’s arguments for this claim and show how they miss the mark.
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  24. On an “Unintelligible” Idea: Donald Davidson's Case Against Experiential Foundationalism.Daniel Howard-Snyder - 2002 - Southern Journal of Philosophy 40 (4):523-555.
    Donald Davidson’s epistemology is predicated on, among other things, the rejection of Experiential Foundationalism, which he calls ‘unintelligible’. In this essay, I assess Davidson’s arguments for this conclusion. I conclude that each of them fails on the basis of reasons that foundationalists and antifoundationalists alike can, and should, accept.
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  25. (1 other version)Hiddenness of God.Daniel Howard-Snyder - 2005 - In Donald M. Borchert (ed.), Encyclopedia of Philosophy. macmillan reference.
    This is a 5,000 word article on divine hiddeness, with special attention to John Schellenberg's work on the topic.
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  26. On Whitcomb's Grounding Argument for Atheism.Daniel Howard-Snyder, Joshua Rasmussen & Andrew Cullison - 2013 - Faith and Philosophy 30 (2):198-204.
    Dennis Whitcomb argues that there is no God on the grounds that God is supposed to be omniscient, yet nothing could be omniscient due to the nature of grounding. We give a formally identical argument that concludes that one of the present co-authors does not exist. Since he does exist, Whitcomb’s argument is unsound. But why is it unsound? That is a difficult question. We venture two answers. First, one of the grounding principles that the argument relies on is false. (...)
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  27. How not to render an explanatory version of the evidential argument from evil immune to skeptical theism.Daniel Howard-Snyder - 2015 - International Journal for Philosophy of Religion (3):1-8.
    Among the things that students of the problem of evil think about is whether explanatory versions of the evidential argument from evil are better than others, better than William Rowe’s famous versions of the evidential argument, for example. Some of these students claim that the former are better than the latter in no small part because the former, unlike the latter, avoid the sorts of worries raised by so-called “skeptical theists”. Indeed, Trent Dougherty claims to have constructed an explanatory version (...)
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  28. Markan Faith.Daniel Howard-Snyder - 2017 - International Journal for Philosophy of Religion 81 (1-2):31-60.
    According to many accounts of faith—where faith is thought of as something psychological, e.g., an attitude, state, or trait—one cannot have faith without belief of the relevant propositions. According to other accounts of faith, one can have faith without belief of the relevant propositions. Call the first sort of account doxasticism since it insists that faith requires belief; call the second nondoxasticism since it allows faith without belief. The New Testament may seem to favor doxasticism over nondoxasticism. For it may (...)
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  29. Faith and resilience.Daniel Howard-Snyder & Daniel J. McKaughan - 2022 - International Journal for Philosophy of Religion (3).
    In this short essay, we sketch a theory of faith that features resilience in the face of challenges to relying on those in whom you have faith. We argue that it handles a variety of both religious and secular faith-data, e.g., the value of faith in relationships of mutual faith and faithfulness, how the Christian and Hebrew scriptures portray pístis and ʾĕmûnāh, and the character of faith as it is often expressed in popular secular venues.
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  30. Three Arguments to Think that Faith Does Not Entail Belief.Daniel Howard-Snyder - 2018 - Pacific Philosophical Quarterly 100 (1):114-128.
    On doxastic theories of propositional faith,necessarily,S has faith that p only if S believes that p. On nondoxastic theories of propositional faith, it’s false that,necessarily,S has faith that p only if S believes that p. In this article, I defend three arguments for nondoxastic theories of faith and I respond to published criticisms of them.
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  31. How Does Trust Relate to Faith?Daniel J. McKaughan & Daniel Howard-Snyder - 2022 - Canadian Journal of Philosophy 52 (4):411-427.
    How does trust relate to faith? We do not know of a theory-neutral way to answer our question. So, we begin with what we regard as a plausible theory of faith according to which, in slogan form, faith is resilient reliance. Next, we turn to contemporary theories of trust. They are not of one voice. Still, we can use them to indicate ways in which trust and faith might both differ from and resemble each other. This is what we do. (...)
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  32. Unrealistic Fictions.Allan Hazlett & Christy Mag Uidhir - 2011 - American Philosophical Quarterly 48 (1):33--46.
    In this paper, we develop an analysis of unrealistic fiction that captures the everyday sense of ‘unrealistic’. On our view, unrealistic fictions are a species of inconsistent fictions, but fictions for which such inconsistency, given the supporting role we claim played by genre, needn’t be a critical defect. We first consider and reject an analysis of unrealistic fiction as fiction that depicts or describes unlikely events; we then develop our own account and make an initial statement of it: unrealistic fictions (...)
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  33. Non‐Moral Evil.Allan Hazlett - 2012 - Midwest Studies in Philosophy 36 (1):18-34.
    There is, I shall assume, such a thing as moral evil (more on which below). My question is whether is also such a thing as non-moral evil, and in particular whether there are such things as aesthetic evil and epistemic evil. More exactly, my question is whether there is such a thing as moral evil but not such a thing as non-moral evil, in some sense that reveals something special about the moral, as opposed to such would-be non-moral domains as (...)
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  34. Reply to Rowe.Daniel Howard-Snyder & Michael Bergmann - 2003 - In Michael L. Peterson (ed.), Contemporary Debates in Philosophy of Religion. Hoboken: Blackwell.
    Preprinted in God and the Problem of Evil (Blackwell 2001), ed. William Rowe. In this article, we reply to Bill Rowe's "Evil is Evidence Against Theistic Belief" in Contemporary Debates in Philosophy of Religion (Blackwell 2003).
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  35. Theorizing about faith with Lara Buchak.Daniel Howard-Snyder & Daniel J. Mckaughan - 2022 - Religious Studies 59:297-326.
    What is faith? Lara Buchak has done as much as anyone recently to answer our question in a sensible and instructive fashion. As it turns out, her writings reveal two theories of faith, an early one and a later one (or, if you like, two versions of the same theory). In what follows, we aim to do three things. First, we will state and assess Buchak’s early theory, highlighting both its good-making and bad-making features. Second, we will do the same (...)
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  36. Understanding and Structure.Allan Hazlett - 2017 - In Stephen Robert Grimm (ed.), Making Sense of the World: New Essays on the Philosophy of Understanding. New York, NY, United States of America: Oxford University Press.
    In the Phaedrus, Socreates sympathetically describes the ability “to cut up each kind according to its species along its natural joints, and to try not to splinter any part, as a bad butcher might do.” (265e) In contemporary philosophy, Ted Sider (2009, 2011) defends the same idea. As I shall put it, Plato and Sider’s idea is that limning structure is an epistemic goal. My aim in this paper is to articulate and defend this idea. First, I’ll articulate the notion (...)
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  37. The Problem of Evil. [REVIEW]Daniel Howard-Snyder - 1996 - The Christian Scholar's Review.
    This is a review of Michael Peterson's The Problem of Evil.
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  38. Entitlement and mutually recognized reasonable disagreement.Allan Hazlett - 2013 - Episteme (1):1-25.
    Most people not only think that it is possible for reasonable people to disagree, but that it is possible for people to recognize that they are parties to a reasonable disagreement. The aim of this paper is to explain how such mutually recognized reasonable disagreements are possible. I appeal to an which implies a form of relativism about reasonable belief, based on the idea that whether a belief is reasonable for a person can depend on the fact that she has (...)
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  39. Arthur Danto’s Andy Warhol: the Embodiment of Theory in Art and the Pragmatic Turn.Stephen Snyder - forthcoming - Leitmotiv:135-151.
    Arthur Danto’s recent book, Andy Warhol, leads the reader through the story of the iconic American’s artistic life highlighted by a philosophical commentary, a commentary that merges Danto’s aesthetic theory with the artist himself. Inspired by Warhol’s Brillo Box installation, art that in Danto’s eyes was indiscernible from the everyday boxes it represented, Danto developed a theory that is able to differentiate art from non-art by employing the body of conceptual art theory manifest in what he termed the ‘artworld’. The (...)
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  40. On Hume's Philosophical Case against Miracles.Daniel Howard-Snyder - 2003 - In Robin Collins (ed.), God Matters: Readings in the Philosophy of Religion. Longman Publications.
    According to the Christian religion, Jesus was “crucified under Pontius Pilate; he suffered death and was buried. On the third day he rose again”. I take it that this rising again—the Resurrection of Jesus, as it’s sometimes called—is, according to the Christian religion, an historical event, just like his crucifixion, death, and burial. And I would have thought that to investigate whether the Resurrection occurred, we would need to do some historical research: we would need to assess the reliability of (...)
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  41. In Defense of Naïve Universalism.Daniel Howard-Snyder - 2003 - Faith and Philosophy 20 (3):345-363.
    Michael J. Murray defends the traditional doctrine of hell by arguing directly against its chief competitor, universalism. Universalism, says Murray, comes in “naïve” and “sophisticated” forms. Murray poses two arguments against naïve universalism before focusing on sophisticated universalism, which is his real target. He proceeds in this fashion because he thinks that his arguments against sophisticated universalism are more easily motivated against naïve universalism, and once their force is clearly seen in the naïve case they will be more clearly seen (...)
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  42. Approaches to Faith, Guest Editorial Preface.Daniel Howard Snyder, Rebekah L. H. Rice & Daniel J. McKaughan - 2017 - International Journal for Philosophy of Religion 81 (Special Double Issue):1-7.
    Springer. We find in contemporary culture starkly contrasting estimates of the value of faith. On the one hand, for many people, faith is a virtue or positive human value, something associated with understanding, hope, and love, something to be inculcated, maintained, and cherished. On the other hand, for many people, faith is a vice, something associated with dogmatism, arrogance, and close-mindedness, something to be avoided at all costs. The papers included in this special (double) issue on approaches to faith explore (...)
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  43. The Evolutionary Argument for Atheism.Daniel Howard-Snyder - 2014 - In John-Christopher Keller (ed.), Being, Freedom, and Method: Themes from van Inwagen. Oxford University Press.
    This essay assesses Paul Draper's argument from evolution to atheism.
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  44. Towards Social Accounts of Testimonial Asymmetries.Allan Hazlett - 2017 - Noûs 51 (1):49–73.
    there seems to be some kind of asymmetry, at least in some cases, between moral testimony and non-moral testimony, between aesthetic testimony and non-aesthetic testimony, and between religious testimony and non-religious testimony. In these domains, at least in some cases, we object to deference, and for this reason expect people to form their beliefs on non-testimonial grounds, in a way that we do not object to deference in paradigm cases of testimonial knowledge. Our philosophical puzzle is therefore: what explains these (...)
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  45. The argument from charity against revisionary ontology.Daniel Howard-Snyder - manuscript
    Revisionary ontologists are making a comeback. Quasi-nihilists, like Peter van Inwagen and Trenton Merricks, insist that the only composite objects that exist are living things. Unrestriced universalists, like W.V.O. Quine, David Lewis, Mark Heller, and Hud Hudson, insist that any collection of objects composes something, no matter how scattered over time and space they may be. And there are more besides. The result, says Eli Hirsch, is that many commonsense judgments about the existence or identity of highly visible physical objects (...)
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  46. God, Schmod and Gratuitous Evil.Daniel Howard-Snyder & John Hawthorne - 1993 - Philosophy and Phenomenological Research 53 (4):861-874.
    It is common these days for theists to argue that we aren’t justified in believing atheism on the basis of evil. They claim that neither facts about particular horrors nor more holistic considerations pertaining to the magnitude, kinds and distribution of evil can ground atheism since we can't tell whether any evil is gratuitous.1 In this paper we explore a novel strategy for shedding light on these issues: we compare the atheist who claims that there is no morally sufficient reason (...)
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  47. The Fellowship of Confessing Anglicans: Should Conservative Anglicans Sign Up?Daniel Howard-Snyder - unknown
    The Fellowship of Confessing Anglicans (FCA), whose leaders govern well over half of the 80 million Anglicans worldwide, have put forward ‘a contemporary rule,’ called The Jerusalem Declaration, to guide the Anglican realignment movement. The FCA and its affiliates, e.g. the newly-formed Anglican Church in North America, require assent to the Declaration. To date, there has been little serious appraisal of the Declaration and the status accorded to it. I aim to correct that omission. Unlike ap-praisals in the social media, (...)
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  48. The Problem of Faith and Reason.Daniel Howard-Snyder & Daniel J. McKaughan - 2023 - In John Greco, Tyler Dalton McNabb & Jonathan Fuqua (eds.), The Cambridge Handbook of Religious Epistemology. New York, NY: Cambridge University Press.
    Faith in God conflicts with reason—or so we’re told. We focus on two arguments for this conclusion. After evaluating three criticisms of them, we identify an assumption they share, namely that faith in God requires belief that God exists. Whether the assumption is true depends on what faith is. We sketch a theory of faith that allows for both faith in God without belief that God exists, and faith in God while in belief-cancelling doubt God’s existence. We then argue that (...)
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  49. Transworld sanctity and Plantinga's free will defense.Daniel Howard-Snyder & John Hawthorne - 1998 - International Journal for Philosophy of Religion 44 (1):1-21.
    A critique of Plantinga's free will defense. For an updated version of this critique, with a reply to objections from William Rowe and Alvin Plantinga, see my "The logical problem of evil: Plantinga and Mackie," in Justin P. McBrayer & Daniel Howard‐Snyder (eds.), The Blackwell Companion to the Problem of Evil, Wiley-Blackwell, 2013, pp. 19-33.
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  50. A Task that Exceeded the Technology: Early Applications of the Computer to the Lunar Three-body Problem.Allan Olley - 2018 - Revue de Synthèse 139 (3-4):267-288.
    The lunar Three-Body problem is a famously intractable problem of Newtonian mechanics. The demand for accurate predictions of lunar motion led to practical approximate solutions of great complexity, constituted by trigonometric series with hundreds of terms. Such considerations meant there was demand for high speed machine computation from astronomers during the earliest stages of computer development. One early innovator in this regard was Wallace J. Eckert, a Columbia University professor of astronomer and IBM researcher. His work illustrates some interesting features (...)
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